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    Gentle, James E.
    Matrix Algebra [Electronic resource] : theory, Computations and Applications in Statistics / / James E. Gentle ; . - 2nd ed. 2017. - [S. l. : s. n.]. - XXIX, 648 p. 40 illus. - ISBN 9783319648675
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Рубрики: Statistics .
   Algebra.
   Mathematical statistics.
   Computer mathematics.
   Numerical analysis.
   Statistical Theory and Methods.
   Algebra.
   Statistics and Computing/Statistics Programs.
   Probability and Statistics in Computer Science.
   Computational Mathematics and Numerical Analysis.
   Numeric Computing.
Анотація: This textbook for graduate and advanced undergraduate students presents the theory of matrix algebra for statistical applications, explores various types of matrices encountered in statistics, and covers numerical linear algebra. Matrix algebra is one of the most important areas of mathematics in data science and in statistical theory, and the second edition of this very popular textbook provides essential updates and comprehensive coverage on critical topics in mathematics in data science and in statistical theory. Part I offers a self-contained description of relevant aspects of the theory of matrix algebra for applications in statistics. It begins with fundamental concepts of vectors and vector spaces; covers basic algebraic properties of matrices and analytic properties of vectors and matrices in multivariate calculus; and concludes with a discussion on operations on matrices in solutions of linear systems and in eigenanalysis. Part II considers various types of matrices encountered in statistics, such as projection matrices and positive definite matrices, and describes special properties of those matrices; and describes various applications of matrix theory in statistics, including linear models, multivariate analysis, and stochastic processes. Part III covers numerical linear algebra—one of the most important subjects in the field of statistical computing. It begins with a discussion of the basics of numerical computations and goes on to describe accurate and efficient algorithms for factoring matrices, how to solve linear systems of equations, and the extraction of eigenvalues and eigenvectors. Although the book is not tied to any particular software system, it describes and gives examples of the use of modern computer software for numerical linear algebra. This part is essentially self-contained, although it assumes some ability to program in Fortran or C and/or the ability to use R or Matlab. The first two parts of the text are ideal for a course in matrix algebra for statistics students or as a supplementary text for various courses in linear models or multivariate statistics. The third part is ideal for use as a text for a course in statistical computing or as a supplementary text for various courses that emphasize computations. New to this edition • 100 pages of additional material • 30 more exercises—186 exercises overall • Added discussion of vectors and matrices with complex elements • Additional material on statistical applications • Extensive and reader-friendly cross references and index.
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Gentle, James E. \.\
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    Nguyen-Schäfer, Hung.
    Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers [Electronic resource] / Hung. Nguyen-Schäfer, Schmidt, Jan-Philip. ; . - 2nd ed. 2017. - [S. l. : s. n.]. - XVII, 376 p. 73 illus. - ISBN 9783662484975
    Зміст:

Рубрики: Engineering mathematics.
   Differential geometry.
   Physics.
   Computer mathematics.
   Engineering Mathematics.
   Differential Geometry.
   Mathematical Methods in Physics.
   Computational Science and Engineering.
Анотація: This book comprehensively presents topics, such as Dirac notation, tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. Additionally, two new chapters of Cartan differential forms and Dirac and tensor notations in quantum mechanics are added to this second edition. The reader is provided with hands-on calculations and worked-out examples at which he will learn how to handle the bra-ket notation, tensors, differential geometry, and differential forms; and to apply them to the physical and engineering world. Many methods and applications are given in CFD, continuum mechanics, electrodynamics in special relativity, cosmology in the Minkowski four-dimensional spacetime, and relativistic and non-relativistic quantum mechanics. Tensors, differential geometry, differential forms, and Dirac notation are very useful advanced mathematical tools in many fields of modern physics and computational engineering. They are involved in special and general relativity physics, quantum mechanics, cosmology, electrodynamics, computational fluid dynamics (CFD), and continuum mechanics. The target audience of this all-in-one book primarily comprises graduate students in mathematics, physics, engineering, research scientists, and engineers. .
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Schmidt, Jan-Philip.; Nguyen-Schäfer, Hung. \.\
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    Network Games, Control, and Optimization [Electronic resource] : proceedings of NETGCOOP 2016, Avignon, France / / ed.: Lasaulce, Samson., Jimenez, Tania., Solan, Eilon. - 1st ed. 2017. - [S. l. : s. n.]. - XIV, 234 p. 49 illus., 38 illus. in color. - ISBN 9783319510347
    Зміст:

Altman, E., Jain, A., Hayel, Y., Finite Improvement Property in a Stochastic Game Arising in Competition over Popularity in Social Networks -- Altman, E., Jain, A., Shimkin, N., Touati, C., Overview on Dynamic Games for Analyzing Competition in the Internet and in Online Social Networks -- Altman, E., Touati, C., Load Balancing Congestion Games and their Asymptotic Behavior -- Bachmann, I., Morales, F., Silva, A., Bustos-Jimenez, J., Go-Index: Applying Supply Networks Principles as Internet Robustness Metrics -- Belhadj Amor, S., Perlaza, S., Decentralized K-User Gaussian Multiple Access Channels -- Berri, S., Varma, V., Lasaulce, S., Radjef, M., Correlated Equilibria in Wireless Power Control Games -- Chorppath, A., Zappone, A., Jorswieck, E., Alpcan, T., An Energy-Efficiency Game in Relay-Assisted D2D Networks with Malicious Devices -- Courcoubetis, C., Dimakis, A., Kanakakis, M., Minimally Intrusive Server Policies for Background Data Transfers -- De Pellegrini, F., Massaro, A., Goratti, L., Rachid, E., Bounded Generalized Kelly Mechanism for Multi-Tenant Caching in Mobile Edge Clouds -- Douros, V., Toumpis, S., Polyzos, G., Power Control and Bargaining for Cellular Operator Revenue Increase under Licensed Spectrum Sharing -- Grammatico, S., An Incentive Mechanism for Agents Playing Competitive Aggregative Games -- Hamidouche, K., Saad, W., Debbah, M., Multi-Games for LTE and WiFi Coexistence over Unlicensed Channels -- Hasan, C., Marina, M., Energy-Efficient User Association in Broadcast Transmission -- Ju, M., Zhou, F., Xiao, S., Torres-Moreno, J., Spectrum Shared p-Cycle Design in Elastic Optical Networks with/without Spectrum Conversion Capabilities -- Chaitanya, A., Mukherji, U., Sharma, V., Learning Equilibria of a Stochastic Game on Gaussian Interference Channels with Incomplete Information -- Legenvre, F., Altman, E., Hayal, Y., Potential Game Approach to Virus Attack in Network General Topology -- Marcastel, A., Belmega, E., Mertikopoulos, P., Fijalkow, I., Interfernce Mitigation via Pricing in Time-Varying Cognitive Radio Systems -- Silva, A., Opinion Manipulation in Social Networks -- Taynitskiy, V., Gubar, E., Zhu, Q., Optimal Security Policy for Protection against Heterogeneous Malware -- Wu, H., Zhou, F., Zhu, Z., Chen, Y., An Experimental Comparison of Routing and Spectrum Assignment Algorithms in Elastic Optical Networks -- Zhang, C., Varma, V., Lasaulce, S., Robust Power Modulation for Channel State Information Exchange.

Рубрики: Game theory.
   System theory.
   Computer science—Mathematics.
   Computer mathematics.
   Applied mathematics.
   Engineering mathematics.
   Game Theory, Economics, Social and Behav. Sciences.
   Systems Theory, Control.
   Mathematical Applications in Computer Science.
   Math Applications in Computer Science.
   Mathematical and Computational Engineering.
Анотація: This contributed volume offers a collection of papers presented at the 2016 Network Games, Control, and Optimization conference (NETGCOOP), held at the University of Avignon in France, November 23-25, 2016. These papers highlight the increasing importance of network control and optimization in many networking application domains, such as mobile and fixed access networks, computer networks, social networks, transportation networks, and, more recently, electricity grids and biological networks. Covering a wide variety of both theoretical and applied topics in the areas listed above, the authors explore several conceptual and algorithmic tools that are needed for efficient and robust control operation, performance optimization, and better understanding the relationships between entities that may be acting cooperatively or selfishly in uncertain and possibly adversarial environments. As such, this volume will be of interest to applied mathematicians, computer scientists, engineers, and researchers in other related fields.
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Lasaulce, Samson. \ed.\; Jimenez, Tania. \ed.\; Solan, Eilon. \ed.\
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    Advances in Mechanism Design II [Electronic resource] : proceedings of the XII International Conference on the Theory of Machines and Mechanisms / / ed.: Beran, Jaroslav., Bílek, Martin., Žabka, Petr. - 1st ed. 2017. - [S. l. : s. n.]. - XIII, 405 p. 259 illus. - ISBN 9783319440873
    Зміст:

Preface -- Scientific Committee -- Patronage -- Part I General Theory of Machines and Mechanisms, Analysis and Synthesis of Planar and Spatial Mechanisms, Linkages and Cams, Robots and Manipulators -- IFToMM in MMS developments, by M. Ceccarelli -- General Algorithm for Computing the Theoretical Centering Precision of the Gripping Devices, by E.-C. Lovasz, V. Mesaroş-Anghel, C. M. Gruescu, C. E. Moldovan and M. Ceccarelli -- Design and Development of a Heddle Shaft Mechanism for Air-jet Weaving Machines, by F. Schwarzfischer, S. Kurtenbach, J. Onischke and B. Corves -- On Transfemoral Prosthetic Knee Design Using RRSS Motion and Axode Generation, by J. D’Alessio K. Russell and R. S. Sodhi -- On Approach Based on Lie Groups and Algebras to the Structural Synthesis of Parallel Robots, by L. Rybak, D. Malyshev and A. Chichvarin -- Life Estimation of the Contact Surfaces, by M. Hejnová and J. Ondrášek -- Calculation of the Contours of a Radial Double Cam Based on an Approximate Course of the 2nd Derivative of the Displacement Law of a Working Link, by P. Jirásko and M. Václavík -- The Elastic Compression in the Contact Region of a Cam Mechanism General Kinematic Pair, by J. Ondrášek -- Design of a Legged Walking Robot with Adjustable Parameters, by Y. Zhang, V. Arakelian and J.-P. Le Baron -- Positioning Control of a Micro Manipulation Robot Based on Voice Command Recognition for the Microscopic Cell Operation, by H. Terada, K. Makino, H. Nishizaki, E. Yanase, T. Suzuki and T. Tanzawa -- Spherical Ultrasonic Motor for Space, by U. Nishizawa, S. Toyama and T.Oohashi -- Part II Dynamics of Machines and Mechanisms, Rotor Dynamics -- Multi-Physical Analysis of the Forces in the Flexible Rotor Supported by the Magnetorheological Squeeze Film Dampers, by P. Ferfecki, J. Zapoměl and M. Marek -- Experimental Evaluation of a Rotor Model Based Foundation Identification Procedure, by M. Yu, N. Feng, E. Hahn -- Researching of the Method of Separation of Fine-Grain Particles by Centrifugation in a Liquid Medium, by A. B. Kydyrbekuly, L. A. Khajieva, G. E. Ybraev -- The Steady State Response of Multi-disc Rotors Damped by Magnetorheological Squeeze Film Dampers, by J. Zapoměl and P. Ferfecki -- Inertia Matrix and Vehicle Driveability, by P. Brabec, M. Malý and R. Voženílek -- Unexpected Vibrations of Relatively Simple Cutting Machine Mechanism, by P. Šidlof, Z. Braier, P. Klouček and J. Ondrášek -- Effect of Oil Viscosity on Pulsating Flow in Pipe, by L. Hružík, A. Bureček and M. Vašina -- Experimental Research and Mathematical Modeling of Scroll Machine in Air Motor Mode, by V.I. Ivlev, S.Yu. Misyurin and A.P. Nelyubin -- Analysis of the Mechanism of the Drill Hammer, by M. Konečný -- Free Vibration Frequency Spectrum of Four-planetary Gearing Box, by L. Půst, L. Pešek, A. Radolfová -- Speed Control of 3-phase Induction Motor in Presence of Sommerfeld Effect, by A. Bisoi, R. Bhattacharyya and A.K. Samantaray -- Part III Computational Mechanics -- Various Strategies of Elastic Forces Evaluation in the Absolute Nodal Coordinate Formulation, by R. Bulín and M. Hajžman -- Nonlinear Vibration of Nuclear Fuel Rods, by Š. Dyk and V. Zeman -- Thermal Field Simulation of Repair Threads in a Hole in the Cover of a Pressure Vessel by Welding using Sysweld, by R. Jančo and P. Élesztős -- Simulation of Isothermal Compression Test, by I. Matoušek and O. Matoušek -- Influence of Bubbles in the Shock Liquid at its Compressibility, by M. Sivčák and T. Hruš -- Procedure for Seismic Analysis of Liquid Storage Tanks using FEM Approach and Analytical Models, by M. Sivý and M. Musil -- Part IV Vibration and Noise in Machines -- Forced Response Reduction of a Compressor Blisk Rotor Employing Intentional Mistuning, by B. Beirow, A. Kühhorn and J. Nipkau -- Flat Flexural Vibration of Drill-String with an Initial Curvature, by A.S. Sergaliyev and L.A. Khajiyeva -- A Design of the Two Architectures of Electromagnetic Vibration Energy Harvesting Devices, by M. Maták, M. Gašparík, P. Šolek, M. Margetin -- Acoustic Solution for a Car Cab Interior, by P. Němeček -- Possibilities for Reducing Car Gearbox Vibration and Noise, by E. Tomeh -- Reduced Order Analyses of Multi-Stage Coupled Structures with Main Focus on Disk-Dominated Modes, by R. Weber and A. Kühhorn -- Part V Optimization of Mechanisms and Machines, Mechanisms of Textile Machines -- Composite Production and Industrial Robot Trajectory Calculation, by T. Martinec, J. Mlýnek and M. Petrů -- The Pinion Teeth Temperatures Measured during the Different Power Levels Operation, by M. Mazac and M. Maly -- A Novel Four Wheel Vehicle, by S. Pramanik and Dr. S. S. Thipse -- Cam Mechanism for Car Seat Testing, by P. Srb, P. Kulhavy, V. Fliegel and P. Lepsik -- Offset of Natural Frequencies of Toothed Wheel by Means of Parametric Optimisation, by J.Stadnicki and M.Głąbek -- Diagnosis of a Common Rail High Pressure Injector System, by P. Starý -- Design of a Tribometer for Piston Rings, by R. Voženílek, S. Beroun and J. Břoušek -- Mathematical Model of Elastic Heald, by M. Bílek, Š. Kovář and J. Skřivánek -- Dynamic Model of the Mechanical System of the Needle Bar, by J. Komárek -- Electronic Link Between the Needle Cylinder and the Dial of the Small Diameter Knitting Machine, by J. Skřivánek, M. Bílek, O. Baťka and M. Kašpárek -- Utilization of the System of Magnetic Spring with Specific Characteristic for the Central Traversing System of the Rotor Spinning Machine, by J. Valtera -- Mechatronic Model for Traversing Rod Longitudinal Vibration Analysis, by P. Žabka -- Adaptive Timing of Relay Nozzles of an Air Jet Weaving Loom, by J. Žák -- Part VI Mechatronics, Control and Monitoring Systems of Machines -- The Testing Stand of the Direct Linear and the Torque Servo Drives Siemens Controlled by the Simotion C, by J. Antoš -- New Method of Contactless Measurement and Analysis of CNC Machine Spindle Lopping, by Z. Braier, P. Šidlof, V. Čejka and P. Žďárek -- Smart Rehabilitation Splint, by J. Cernohorsky and M. Cadek -- Implementation of Specific Displacement Diagrams for the Control of Kinetic Sculptures with Yaskawa Electronic Cams, by P. Dostrašil -- Semi-automatic Transmission in a Car, by M. Gašparík, M. Černý, P. Šolek and M. Maták -- Improvement of Dynamic Characteristics of the Car in the Light of Technological Evolution, by F. Palčák -- Rotary Table Machine Input Parameters Optimization, by A. Richter and J. Ondrášek.

Рубрики: Mechanics.
   Mechanics, Applied.
   Control engineering.
   Robotics.
   Mechatronics.
   Mechanical engineering.
   Computer mathematics.
   Theoretical and Applied Mechanics.
   Control, Robotics, Mechatronics.
   Mechanical Engineering.
   Computational Science and Engineering.
Анотація: This book presents the most recent advances in the research of machines and mechanisms. It collects 54 reviewed papers presented at the XII International Conference on the Theory of Machines and mechanisms (TMM 2016) held in Liberec, Czech Republic, September 6-8, 2016. This volume offers an international selection of the most important new results and developments, grouped in six different parts, representing a well-balanced overview, and spanning the general theory of machines and mechanisms, through analysis and synthesis of planar and spatial mechanisms, linkages and cams, robots and manipulators, dynamics of machines and mechanisms, rotor dynamics, computational mechanics, vibration and noise in machines, optimization of mechanisms and machines, mechanisms of textile machines, mechatronics to the control and monitoring systems of machines. This conference is traditionally organised every four year under the auspices of the international organisation IFToMM and the Czech Society for Mechanics.
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Beran, Jaroslav. \ed.\; Bílek, Martin. \ed.\; Žabka, Petr. \ed.\
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    Bercovier, Michel.
    Smooth Bézier Surfaces over Unstructured Quadrilateral Meshes [Electronic resource] / Michel. Bercovier, Matskewich, Tanya. ; . - 1st ed. 2017. - [S. l. : s. n.]. - XX, 192 p. 64 illus., 59 illus. in color. - ISBN 9783319638416
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Рубрики: Computer mathematics.
   Geometry.
   Computational Mathematics and Numerical Analysis.
   Geometry.
Анотація: Using an elegant mixture of geometry, graph theory and linear analysis, this monograph completely solves a problem lying at the interface of Isogeometric Analysis (IgA) and Finite Element Methods (FEM). The recent explosion of IgA, strongly tying Computer Aided Geometry Design to Analysis, does not easily apply to the rich variety of complex shapes that engineers have to design and analyse. Therefore new developments have studied the extension of IgA to unstructured unions of meshes, similar to those one can find in FEM. The following problem arises: given an unstructured planar quadrilateral mesh, construct a C1-surface, by piecewise Bézier or B-Spline patches defined over this mesh. This problem is solved for C1-surfaces defined over plane bilinear Bézier patches, the corresponding results for B-Splines then being simple consequences. The method can be extended to higher-order quadrilaterals and even to three dimensions, and the most recent developments in this direction are also mentioned here.
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Matskewich, Tanya.; Bercovier, Michel. \.\
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    Innovative Algorithms and Analysis [Electronic resource] / ed.: Gosse, Laurent., Natalini, Roberto. - 1st ed. 2017. - [S. l. : s. n.]. - XVIII, 351 p. 70 illus., 60 illus. in color. - ISBN 9783319492629
    Зміст:

Рубрики: Applied mathematics.
   Engineering mathematics.
   Partial differential equations.
   Computer mathematics.
   Biomathematics.
   Differential geometry.
   Physics.
   Applications of Mathematics.
   Partial Differential Equations.
   Computational Mathematics and Numerical Analysis.
   Mathematical and Computational Biology.
   Differential Geometry.
   Mathematical Methods in Physics.
Анотація: This volume gathers contributions reflecting topics presented during an INDAM workshop held in Rome in May 2016. The event brought together many prominent researchers in both Mathematical Analysis and Numerical Computing, the goal being to promote interdisciplinary collaborations. Accordingly, the following thematic areas were developed: 1. Lagrangian discretizations and wavefront tracking for synchronization models; 2. Astrophysics computations and post-Newtonian approximations; 3. Hyperbolic balance laws and corrugated isometric embeddings; 4. “Caseology” techniques for kinetic equations; 5. Tentative computations of compressible non-standard solutions; 6. Entropy dissipation, convergence rates and inverse design issues. Most of the articles are presented in a self-contained manner; some highlight new achievements, while others offer snapshots of the “state of the art” in certain fields. The book offers a unique resource, both for young researchers looking to quickly enter a given area of application, and for more experienced ones seeking comprehensive overviews and extensive bibliographic references.
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Gosse, Laurent. \ed.\; Natalini, Roberto. \ed.\
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    Ezquerro Fernández, Fernández, José Antonio.
    Newton’s Method: an Updated Approach of Kantorovich’s Theory [Electronic resource] / Fernández, José Antonio. Ezquerro Fernández, Hernández Verón, Miguel Ángel. ; . - 1st ed. 2017. - [S. l. : s. n.]. - XII, 166 p. 19 illus. in color. - ISBN 9783319559766
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Рубрики: Operator theory.
   Computer mathematics.
   Integral equations.
   Operator Theory.
   Computational Mathematics and Numerical Analysis.
   Integral Equations.
Анотація: This book shows the importance of studying semilocal convergence in iterative methods through Newton's method and addresses the most important aspects of the Kantorovich's theory including implicated studies. Kantorovich's theory for Newton's method used techniques of functional analysis to prove the semilocal convergence of the method by means of the well-known majorant principle. To gain a deeper understanding of these techniques the authors return to the beginning and present a deep-detailed approach of Kantorovich's theory for Newton's method, where they include old results, for a historical perspective and for comparisons with new results, refine old results, and prove their most relevant results, where alternative approaches leading to new sufficient semilocal convergence criteria for Newton's method are given. The book contains many numerical examples involving nonlinear integral equations, two boundary value problems and systems of nonlinear equations related to numerous physical phenomena. The book is addressed to researchers in computational sciences, in general, and in approximation of solutions of nonlinear problems, in particular.
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Hernández Verón, Miguel Ángel.; Ezquerro Fernández, José Antonio. \.\
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    Sergeyev, Yaroslav D.
    Deterministic Global Optimization [Electronic resource] : an Introduction to the Diagonal Approach / / Yaroslav D. Sergeyev, Kvasov, Dmitri E. ; . - 1st ed. 2017. - [S. l. : s. n.]. - X, 136 p. 39 illus. - ISBN 9781493971992
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Рубрики: Computer programming.
   Mathematical optimization.
   Computer science—Mathematics.
   Computer mathematics.
   Programming Techniques.
   Optimization.
   Mathematics of Computing.
   Mathematical Applications in Computer Science.
Анотація: This book begins with a concentrated introduction into deterministic global optimization and moves forward to present new original results from the authors who are well known experts in the field. Multiextremal continuous problems that have an unknown structure with Lipschitz objective functions and functions having the first Lipschitz derivatives defined over hyperintervals are examined. A class of algorithms using several Lipschitz constants is introduced which has its origins in the DIRECT (DIviding RECTangles) method. This new class is based on an efficient strategy that is applied for the search domain partitioning. In addition a survey on derivative free methods and methods using the first derivatives is given for both one-dimensional and multi-dimensional cases. Non-smooth and smooth minorants and acceleration techniques that can speed up several classes of global optimization methods with examples of applications and problems arising in numerical testing of global optimization algorithms are discussed. Theoretical considerations are illustrated through engineering applications. Extensive numerical testing of algorithms described in this book stretches the likelihood of establishing a link between mathematicians and practitioners. The authors conclude by describing applications and a generator of random classes of test functions with known local and global minima that is used in more than 40 countries of the world. This title serves as a starting point for students, researchers, engineers, and other professionals in operations research, management science, computer science, engineering, economics, environmental sciences, industrial and applied mathematics to obtain an overview of deterministic global optimization.   .
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Kvasov, Dmitri E.; Sergeyev, Yaroslav D. \.\
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    Franci, Alessandro.
    Unified Lagrangian Formulation for Fluid and Solid Mechanics, Fluid-Structure Interaction and Coupled Thermal Problems Using the PFEM [Electronic resource] / Alessandro. Franci ; . - 1st ed. 2017. - [S. l. : s. n.]. - XIX, 211 p. 168 illus., 147 illus. in color. - ISBN 9783319456621
    Зміст:

1 Introduction -- 1.1 Objectives -- 1.2 State of the art -- 1.2.1 Eulerian and Lagrangian approaches for free surface flow analysis -- 1.2.2 Stabilization techniques -- 1.2.3 Algorithms for FSI problems -- 1.3 Numerical model -- 1.3.1 Reasons -- 1.3.2 Essential features -- 1.3.3 Outline -- 1.4 Publications -- 2 Velocity-based formulations for compressible materials -- 2.1 Velocity formulation -- 2.1.1 From the local form to the spatial semi-discretization -- 2.1.2 Time integration -- 2.1.3 Linearization -- 2.1.4 Incremental solution scheme -- 2.2 Mixed velocity-pressure formulation -- 2.2.1 Quasi-incompressible form of the continuity equation -- 2.2.2 Solution method -- 2.3 Hypoelasticity -- 2.3.1 Velocity formulation for hypoelastic solids -- 2.3.2 Mixed Velocity-Pressure formulation for hypoelastic solids -- 2.3.3 Theory of plasticity -- 2.3.3.1 Hypoelastic-plastic materials -- 2.3.4 Validation examples -- 2.4 Summary and conclusions -- 3 Unified stabilized formulation for quasi-incompressible materials -- 3.1 Stabilized FIC form of the mass balance equation -- 3.1.1 Governing equations -- 3.1.2 FIC mass balance equation in space and in time -- 3.1.3 FIC stabilized local form of the mass balance equation -- 3.1.4 Variational form -- 3.1.5 FEM discretization and matrix form -- 3.2 Solution scheme for quasi-incompressible Newtonian fluids -- 3.2.1 Governing equations -- 3.2.2 Solution scheme -- 3.3 Solution scheme for quasi-incompressible hypoelastic solids -- 3.4 Free surface flow analysis -- 3.4.1 The Partiele Finite Element Method -- 3.4.1.1 Remeshing -- 3.4.1.2 Basic steps -- 3.4.1.3 Advantages and disadvantages -- 3.4.2 Mass conservation analysis -- 3.4.2.1 Numerical examples -- 3.4.3 Analysis of the conditioning of the solution scheme -- 3.4.3.1 Drawbacks associated to the real bulk modulus -- 3.4.3.2 Optimum value for the pseudo bulk modulus -- 3.4.3.3 Numerical examples -- 3.5 Validation examples -- 3.5.1 Validation of the Unified formulation for Newtonian fluids -- 3.5.2 Validation of the Unified formulation for quasi-incompressible hypoelastic solids -- 3.6 Summary and conclusions -- 4 Unified formulation for F SI problems -- 4.1 Introduction -- 4.2 FSI algorithm -- 4.3 Coupling with the Velocity formulation for the solid -- 4.4 Coupling with the mixed Velocity-Pressure formulation for the solid -- 4.5 Numerical examples -- 4.6 Summary and conclusions -- 5 Coupled thermal-mechanical formulation -- 5.1 Introduction -- 5.2 Heat problem -- 5.2.1 FEM discretization and solution for a time step -- 5.3 Thermal coupling -- 5.3.1 Numerical examples -- 5.4 Phase change -- 5.4.1 Numerical example: melting of an ice block -- 5.5 Summary and conclusions -- 6 Industrial application: PFEM Analysis Model of NPP Severe Accident -- 6.1 Introduction -- 6.1.1 Assumptions allowed by the specification -- 6.2 Numerical method -- 6.3 Basic Model -- 6.3.1 Problem data -- 6.3.2 Preliminary study -- 6.3.3 Numerical results -- 6.4 Detailed model -- 6.4.1 Problem data -- 6.4.2 Preliminary study -- 6.4.3 Numerical results -- 6.5 Summary and conclusions -- 7 Conclusions and future lines of research -- 7.1 Contributions -- 7.2 Lines for future work.

Рубрики: Mechanics.
   Mechanics, Applied.
   Computer mathematics.
   Fluid mechanics.
   Solid Mechanics.
   Computational Science and Engineering.
   Engineering Fluid Dynamics.
Анотація: This book treats the derivation and implementation of a unified particle finite element formulation for the solution of fluid and solid mechanics, Fluid-Structure Interaction (FSI) and coupled thermal problems. FSI problems are involved in many engineering branches, from aeronautics to civil and biomedical engineering. The numerical method proposed in this book has been designed to deal with a large part of these. In particular, it is capable of simulating accurately free-surface fluids interacting with structures that may undergo large displacements, suffer from thermo-plastic deformations and even melt. The method accuracy has been successfully verified in several numerical examples. The thesis also contains the application of the proposed numerical strategy for the simulation of a real industrial problem. This thesis, defended at the Universitat Politecnica de Catalunya in 2015, was selected (ex aequo) as the best PhD thesis in numerical methods in Spain for the year 2015 by the Spanish Society of Numerical Methods in Engineering (SEMNI).
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10.

    Itkin, Andrey.
    Pricing Derivatives Under Lévy Models [Electronic resource] : modern Finite-Difference and Pseudo-Differential Operators Approach / / Andrey. Itkin ; . - 1st ed. 2017. - [S. l. : s. n.]. - XX, 308 p. 64 illus., 62 illus. in color. - ISBN 9781493967926
    Зміст:

Рубрики: Economics, Mathematical .
   Mathematical models.
   Computer mathematics.
   Partial differential equations.
   Quantitative Finance.
   Mathematical Modeling and Industrial Mathematics.
   Computational Science and Engineering.
   Partial Differential Equations.
Анотація: This monograph presents a novel numerical approach to solving partial integro-differential equations arising in asset pricing models with jumps, which greatly exceeds the efficiency of existing approaches. The method, based on pseudo-differential operators and several original contributions to the theory of finite-difference schemes, is new as applied to the Lévy processes in finance, and is herein presented for the first time in a single volume. The results within, developed in a series of research papers, are collected and arranged together with the necessary background material from Lévy processes, the modern theory of finite-difference schemes, the theory of M-matrices and EM-matrices, etc., thus forming a self-contained work that gives the reader a smooth introduction to the subject. For readers with no knowledge of finance, a short explanation of the main financial terms and notions used in the book is given in the glossary. The latter part of the book demonstrates the efficacy of the method by solving some typical problems encountered in computational finance, including structural default models with jumps, and local stochastic volatility models with stochastic interest rates and jumps. The author also adds extra complexity to the traditional statements of these problems by taking into account jumps in each stochastic component while all jumps are fully correlated, and shows how this setting can be efficiently addressed within the framework of the new method. Written for non-mathematicians, this book will appeal to financial engineers and analysts, econophysicists, and researchers in applied numerical analysis. It can also be used as an advance course on modern finite-difference methods or computational finance.
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11.

    Vince, John.
    Mathematics for Computer Graphics [Electronic resource] / John. Vince ; . - 5th ed. 2017. - [S. l. : s. n.]. - XIX, 505 p. 292 illus. in color. - ISBN 9781447173366
    Зміст:

Рубрики: Computer graphics.
   Computer science—Mathematics.
   Computer mathematics.
   Computer Graphics.
   Mathematical Applications in Computer Science.
Анотація: John Vince explains a wide range of mathematical techniques and problem-solving strategies associated with computer games, computer animation, virtual reality, CAD and other areas of computer graphics in this completely revised and expanded fifth edition. The first five chapters cover a general introduction, number sets, algebra, trigonometry and coordinate systems, which are employed in the following chapters on vectors, matrix algebra, transforms, interpolation, curves and patches, analytic geometry and barycentric coordinates. Following this, the reader is introduced to the relatively new topic of geometric algebra, followed by two chapters that introduce differential and integral calculus. Finally, there is a chapter on worked examples. Mathematics for Computer Graphics covers all of the key areas of the subject, including: · Number sets · Algebra · Trigonometry · Coordinate systems · Determinants · Vectors · Quaternions · Matrix algebra · Geometric transforms · Interpolation · Curves and surfaces · Analytic geometry · Barycentric coordinates · Geometric algebra · Differential calculus · Integral calculus This fifth edition contains over 120 worked examples and over 320 colour illustrations, which are central to the author’s descriptive writing style. Mathematics for Computer Graphics provides a sound understanding of the mathematics required for computer graphics, giving a fascinating insight into the design of computer graphics software and setting the scene for further reading of more advanced books and technical research papers.
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12.

    EVOLVE – A Bridge between Probability, Set Oriented Numerics and Evolutionary Computation VII [Electronic resource] / ed. Emmerich, Michael. [et al.]. - 1st ed. 2017. - [S. l. : s. n.]. - VIII, 210 p. 75 illus., 36 illus. in color. - ISBN 9783319493251
    Зміст:

Рубрики: Computational intelligence.
   Artificial intelligence.
   Probabilities.
   Computer science—Mathematics.
   Computer mathematics.
   Computational Intelligence.
   Artificial Intelligence.
   Probability Theory and Stochastic Processes.
   Mathematics of Computing.
   Computational Mathematics and Numerical Analysis.
Анотація: This book comprises nine selected works on numerical and computational methods for solving multiobjective optimization, game theory, and machine learning problems. It provides extended versions of selected papers from various fields of science such as computer science, mathematics and engineering that were presented at EVOLVE 2013 held in July 2013 at Leiden University in the Netherlands. The internationally peer-reviewed papers include original work on important topics in both theory and applications, such as the role of diversity in optimization, statistical approaches to combinatorial optimization, computational game theory, and cell mapping techniques for numerical landscape exploration. Applications focus on aspects including robustness, handling multiple objectives, and complex search spaces in engineering design and computational biology.
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Emmerich, Michael. \ed.\; Deutz, André. \ed.\; Schütze, Oliver. \ed.\; Legrand, Pierrick. \ed.\; Tantar, Emilia. \ed.\; Tantar, Alexandru-Adrian. \ed.\
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13.

    Abali, Bilen Emek.
    Computational Reality [Electronic resource] : solving Nonlinear and Coupled Problems in Continuum Mechanics / / Bilen Emek. Abali ; . - 1st ed. 2017. - [S. l. : s. n.]. - XVII, 308 p. 48 illus. in color. - ISBN 9789811024443
    Зміст:

Рубрики: Mechanics.
   Mechanics, Applied.
   Computer mathematics.
   Numerical analysis.
   Materials science.
   Solid Mechanics.
   Computational Science and Engineering.
   Numeric Computing.
   Characterization and Evaluation of Materials.
Анотація: This book presents the theory of continuum mechanics for mechanical, thermodynamical, and electrodynamical systems. It shows how to obtain governing equations and it applies them by computing the reality. It uses only open-source codes developed under the FEniCS project and includes codes for 20 engineering applications from mechanics, fluid dynamics, applied thermodynamics, and electromagnetism. Moreover, it derives and utilizes the constitutive equations including coupling terms, which allow to compute multiphysics problems by incorporating interactions between primitive variables, namely, motion, temperature, and electromagnetic fields. An engineering system is described by the primitive variables satisfying field equations that are partial differential equations in space and time. The field equations are mostly coupled and nonlinear, in other words, difficult to solve. In order to solve the coupled, nonlinear system of partial differential equations, the book uses a novel collection of open-source packages developed under the FEniCS project. All primitive variables are solved at once in a fully coupled fashion by using finite difference method in time and finite element method in space.
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14.

    Aramayona, Javier.
    Algorithmic and Geometric Topics Around Free Groups and Automorphisms [Electronic resource] / Javier. Aramayona, Diekert, Volker. [et al.] ; ed.: González-Meneses, Juan., Lustig, Martin., Ventura, Enric. - 1st ed. 2017. - [S. l. : s. n.]. - IX, 149 p. 27 illus. - ISBN 9783319609409
Рубрики: Group theory.
   Computer science—Mathematics.
   Computer mathematics.
   Group Theory and Generalizations.
   Mathematical Applications in Computer Science.
Анотація: This volume presents the lecture notes from the authors’ three summer courses offered during the program “Automorphisms of Free Groups: Geometry, Topology, and Dynamics” held at the Centre de Recerca Matemàtica (CRM) in Bellaterra, Spain. The first two chapters present the basic tools needed, from formal language theory (regular and context-free languages, automata, rewriting systems, transducers, etc) and emphasize their connections to group theory, mostly relating to free and virtually-free groups. The material covered is sufficient to present full proofs of many of the existing interesting characterizations of virtually-free groups. In turn, the last chapter comprehensively describes Bonahon’s construction of Thurston’s compactification of Teichmüller space in terms of geodesic currents on surfaces. It also includes several intriguing extensions of the notion of geodesic current to various other, more general settings.
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Diekert, Volker.; Leininger, Christopher J.; Silva, Pedro V.; Weiß, Armin.; Aramayona, Javier. \.\; González-Meneses, Juan. \ed.\; Lustig, Martin. \ed.\; Ventura, Enric. \ed.\
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15.

    Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016 [Electronic resource] : selected Papers from the ICOSAHOM conference, June 27-July 1, 2016, Rio de Janeiro, Brazil / / ed.: Bittencourt, Marco L., Dumont, Ney A., Hesthaven, Jan S. - 1st ed. 2017. - [S. l. : s. n.]. - XI, 700 p. 214 illus., 163 illus. in color. - ISBN 9783319658704
Рубрики: Computer mathematics.
   Partial differential equations.
   Applied mathematics.
   Engineering mathematics.
   Mechanics.
   Mechanics, Applied.
   Fluid mechanics.
   Computational Mathematics and Numerical Analysis.
   Partial Differential Equations.
   Mathematical and Computational Engineering.
   Solid Mechanics.
   Engineering Fluid Dynamics.
Анотація: This book features a selection of high-quality papers chosen from the best presentations at the International Conference on Spectral and High-Order Methods (2016), offering an overview of the depth and breadth of the activities within this important research area. The carefully reviewed papers provide a snapshot of the state of the art, while the extensive bibliography helps initiate new research directions.
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Bittencourt, Marco L. \ed.\; Dumont, Ney A. \ed.\; Hesthaven, Jan S. \ed.\
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16.

    Hart, William E.
    Pyomo — Optimization Modeling in Python [Electronic resource] / William E. Hart, Laird, Carl D. [et al.] ; . - 2nd ed. 2017. - [S. l. : s. n.]. - XVIII, 277 p. 13 illus., 8 illus. in color. - ISBN 9783319588216
    Зміст:

Рубрики: Mathematical optimization.
   Computer simulation.
   Computer mathematics.
   Computer science—Mathematics.
   Computer software.
   Operations research.
   Management science.
   Optimization.
   Simulation and Modeling.
   Computational Mathematics and Numerical Analysis.
   Math Applications in Computer Science.
   Mathematical Software.
   Operations Research, Management Science.
Анотація: This book provides a complete and comprehensive guide to Pyomo (Python Optimization Modeling Objects) for beginning and advanced modelers, including students at the undergraduate and graduate levels, academic researchers, and practitioners. Using many examples to illustrate the different techniques useful for formulating models, this text beautifully elucidates the breadth of modeling capabilities that are supported by Pyomo and its handling of complex real-world applications. This second edition provides an expanded presentation of Pyomo’s modeling capabilities, providing a broader description of the software that will enable the user to develop and optimize models. Introductory chapters have been revised to extend tutorials; chapters that discuss advanced features now include the new functionalities added to Pyomo since the first edition including generalized disjunctive programming, mathematical programming with equilibrium constraints, and bilevel programming. Pyomo is an open source software package for formulating and solving large-scale optimization problems. The software extends the modeling approach supported by modern AML (Algebraic Modeling Language) tools. Pyomo is a flexible, extensible, and portable AML that is embedded in Python, a full-featured scripting language. Python is a powerful and dynamic programming language that has a very clear, readable syntax and intuitive object orientation. Pyomo includes Python classes for defining sparse sets, parameters, and variables, which can be used to formulate algebraic expressions that define objectives and constraints. Moreover, Pyomo can be used from a command-line interface and within Python's interactive command environment, which makes it easy to create Pyomo models, apply a variety of optimizers, and examine solutions. Review of the first edition: Documents a simple, yet versatile tool for modeling and solving optimization problems. … The book, by Bill Hart, Carl Laird, Jean-Paul Watson, and David Woodruff, is essential to the usability of Pyomo, serving as the Pyomo documentation. … has contents for both an inexperienced user, and a computational operations research expert. … with examples of each of the concepts discussed. —Nedialko B. Dimitrov, INFORMS Journal on Computing, Vol. 24 (4), Fall 2012.
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Laird, Carl D.; Watson, Jean-Paul.; Woodruff, David L.; Hackebeil, Gabriel A.; Nicholson, Bethany L.; Siirola, John D.; Hart, William E. \.\
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17.

    Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing [Electronic resource] : EPASA 2015, Tsukuba, Japan, September 2015 / / ed. Sakurai, Tetsuya. [et al.]. - 1st ed. 2017. - [S. l. : s. n.]. - X, 313 p. 95 illus., 43 illus. in color. - ISBN 9783319624266
    Зміст:

An Error Resilience Strategy of a Complex Moment-Based Eigensolver: Akira Imakura, Yasunori Futamura, and Tetsuya Sakurai -- Numerical Integral Eigensolver for a Ring Region on the Complex Plane: Yasuyuki Maeda, Tetsuya Sakurai, James Charles, Michael Povolotskyi, Gerhard Klimeck, and Jose E. Roman -- A Parallel Bisection and Inverse Iteration Solver for a Subset of Eigenpairs of Symmetric Band Matrices: Hiroyuki Ishigami, Hidehiko Hasegawa, Kinji Kimura, and Yoshimasa Nakamura -- The Flexible ILU Preconditioning for Solving Large Nonsymmetric Linear Systems of Equations: Takatoshi Nakamura and Takashi Nodera -- Improved Coefficients for Polynomial Filtering in ESSEX: Martin Galgon, Lukas Krämer, Bruno Lang, Andreas Alvermann, Holger Fehske, Andreas Pieper, Georg Hager, Moritz Kreutzer, Faisal Shahzad, Gerhard Wellein, Achim Basermann, Melven Röhrig-Zöllner, and Jonas Thies -- Eigenspectrum Calculation of the O(a)-improved Wilson-Dirac Operator in Lattice QCD using the Sakurai-Sugiura Method: Hiroya Suno, Yoshifumi Nakamura, Ken-Ichi Ishikawa, Yoshinobu Kuramashi, Yasunori Futamura, Akira Imakura, and Tetsuya Sakurai -- Properties of Definite Bethe–Salpeter Eigenvalue Problems: Meiyue Shao and Chao Yang -- Preconditioned Iterative Methods for Eigenvalue Counts: Eugene Vecharynski and Chao Yang -- Comparison of Tridiagonalization Methods using High-precision Arithmetic with MuPAT: Ryoya Ino, Kohei Asami, Emiko Ishiwata, and Hidehiko Hasegawa -- Computation of Eigenvectors for a Specially Structured Banded Matrix: Hiroshi Takeuchi, Kensuke Aihara, Akiko Fukuda, and Emiko Ishiwata -- Monotonic Convergence to Eigenvalues of Totally Nonnegative Matrices in an Integrable variant of the Discrete Lotka-Volterra System: Akihiko Tobita, Akiko Fukuda, Emiko Ishiwata, Masashi Iwasaki, and Yoshimasa Nakamura -- Accuracy Improvement of the Shifted Block BiCGGR Method for Linear Systems with Multiple Shifts and Multiple Right-Hand Sides: Hiroto Tadano, Shusaku Saito, and Akira Imakura -- Memory-Saving Technique for the Sakurai–Sugiura Eigenvalue Solver using the Shifted Block Conjugate Gradient Method: Yasunori Futamura and Tetsuya Sakurai -- Filter Diagonalization Method by Using a Polynomial of a Resolvent as the Filter for a Real Symmetric-Definite Generalized Eigenproblem: Hiroshi Murakami -- Off-Diagonal Perturbation, First-Order Approximation and Quadratic Residual Bounds for Matrix Eigenvalue Problems: Yuji Nakatsukasa.- An Elementary Derivation of the Projection Method for Nonlinear Eigenvalue Problems Based on Complex Contour Integration: Yusaku Yamamoto.- Fast Multipole Method as a Matrix-Free Hierarchical Low-Rank Approximation: Rio Yokota, Huda Ibeid, and David Keyes.- Recent Progress in Linear Response Eigenvalue Problems: Zhaojun Bai and Ren-Cang Li.

Рубрики: Computer mathematics.
   Computer software.
   Numerical analysis.
   Physics.
   Algorithms.
   Computational Science and Engineering.
   Mathematical Software.
   Numerical Analysis.
   Numerical and Computational Physics, Simulation.
   Algorithms.
Анотація: This book provides state-of-the-art and interdisciplinary topics on solving matrix eigenvalue problems, particularly by using recent petascale and upcoming post-petascale supercomputers. It gathers selected topics presented at the International Workshops on Eigenvalue Problems: Algorithms; Software and Applications, in Petascale Computing (EPASA2014 and EPASA2015), which brought together leading researchers working on the numerical solution of matrix eigenvalue problems to discuss and exchange ideas – and in so doing helped to create a community for researchers in eigenvalue problems. The topics presented in the book, including novel numerical algorithms, high-performance implementation techniques, software developments and sample applications, will contribute to various fields that involve solving large-scale eigenvalue problems.
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Sakurai, Tetsuya. \ed.\; Zhang, Shao-Liang. \ed.\; Imamura, Toshiyuki. \ed.\; Yamamoto, Yusaku. \ed.\; Kuramashi, Yoshinobu. \ed.\; Hoshi, Takeo. \ed.\
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18.

    System Reduction for Nanoscale IC Design [Electronic resource] / ed. Benner, Peter. - 1st ed. 2017. - [S. l. : s. n.]. - XI, 197 p. 73 illus., 39 illus. in color. - ISBN 9783319072364
    Зміст:

Рубрики: Computer mathematics.
   Mathematical models.
   Electronics.
   Microelectronics.
   Computer-aided engineering.
   Algorithms.
   Applied mathematics.
   Engineering mathematics.
   Computational Science and Engineering.
   Mathematical Modeling and Industrial Mathematics.
   Electronics and Microelectronics, Instrumentation.
   Computer-Aided Engineering (CAD, CAE) and Design.
   Algorithms.
   Mathematical and Computational Engineering.
Анотація: This book describes the computational challenges posed by the progression toward nanoscale electronic devices and increasingly short design cycles in the microelectronics industry, and proposes methods of model reduction which facilitate circuit and device simulation for specific tasks in the design cycle. The goal is to develop and compare methods for system reduction in the design of high dimensional nanoelectronic ICs, and to test these methods in the practice of semiconductor development. Six chapters describe the challenges for numerical simulation of nanoelectronic circuits and suggest model reduction methods for constituting equations. These include linear and nonlinear differential equations tailored to circuit equations and drift diffusion equations for semiconductor devices. The performance of these methods is illustrated with numerical experiments using real-world data. Readers will benefit from an up-to-date overview of the latest model reduction methods in computational nanoelectronics.
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19.

    Deep Learning for Biometrics [Electronic resource] / ed.: Bhanu, Bir., Kumar, Ajay. - 1st ed. 2017. - [S. l. : s. n.]. - XXXI, 312 p. 117 illus., 96 illus. in color. - ISBN 9783319616575
    Зміст:

Рубрики: Artificial intelligence.
   Biometrics (Biology).
   Computer science—Mathematics.
   Computer mathematics.
   Signal processing.
   Image processing.
   Speech processing systems.
   Artificial Intelligence.
   Biometrics.
   Mathematical Applications in Computer Science.
   Signal, Image and Speech Processing.
Анотація: This timely text/reference presents a broad overview of advanced deep learning architectures for learning effective feature representation for perceptual and biometrics-related tasks. The text offers a showcase of cutting-edge research on the use of convolutional neural networks (CNN) in face, iris, fingerprint, and vascular biometric systems, in addition to surveillance systems that use soft biometrics. Issues of biometrics security are also examined. Topics and features: Addresses the application of deep learning to enhance the performance of biometrics identification across a wide range of different biometrics modalities Revisits deep learning for face biometrics, offering insights from neuroimaging, and provides comparison with popular CNN-based architectures for face recognition Examines deep learning for state-of-the-art latent fingerprint and finger-vein recognition, as well as iris recognition Discusses deep learning for soft biometrics, including approaches for gesture-based identification, gender classification, and tattoo recognition Investigates deep learning for biometrics security, covering biometrics template protection methods, and liveness detection to protect against fake biometrics samples Presents contributions from a global selection of pre-eminent experts in the field representing academia, industry and government laboratories Providing both an accessible introduction to the practical applications of deep learning in biometrics, and a comprehensive coverage of the entire spectrum of biometric modalities, this authoritative volume will be of great interest to all researchers, practitioners and students involved in related areas of computer vision, pattern recognition and machine learning. Dr. Bir Bhanu is Bourns Presidential Chair, Distinguished Professor of Electrical and Computer Engineering and the Director of the Center for Research in Intelligent Systems at the University of California at Riverside, USA. Some of his other Springer publications include the titles Video Bioinformatics, Distributed Video Sensor Networks, and Human Recognition at a Distance in Video. Dr. Ajay Kumar is an Associate Professor in the Department of Computing at the Hong Kong Polytechnic University.
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Bhanu, Bir. \ed.\; Kumar, Ajay. \ed.\
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20.

    Mureşan, Marian.
    Introduction to Mathematica® with Applications [Electronic resource] / Marian. Mureşan ; . - 1st ed. 2017. - [S. l. : s. n.]. - XIV, 265 p. 187 illus., 186 illus. in color. - ISBN 9783319520032
    Зміст:

Рубрики: Computer science—Mathematics.
   Mathematical logic.
   Computer mathematics.
   Mathematics of Computing.
   Mathematical Logic and Formal Languages.
   Mathematical Applications in Computer Science.
Анотація: Starting with an introduction to the numerous features of Mathematica®, this book continues with more complex material. It provides the reader with lots of examples and illustrations of how the benefits of Mathematica® can be used. Composed of eleven chapters, it includes the following: A chapter on several sorting algorithms Functions (planar and solid) with many interesting examples Ordinary differential equations Advantages of Mathematica® dealing with the Pi number The power of Mathematica® working with optimal control problems Introduction to Mathematica® with Applications will appeal to researchers, professors and students requiring a computational tool. .
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