Toolbox for the Mathematica Programmers
Toolbox for the Mathematica Programmers

Author: V. Aladjev

Publisher: Createspace Independent Publishing Platform

Published: 2016-04-14

Total Pages: 630

ISBN-13: 9781532748837

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Computer mathematics systems (CMS) find more and more broad application in a number of natural, economical and social fields. These systems are rather important tools for scientists, teachers, researchers and engineers, very well combining symbolical methods with advanced computing methods. One of leaders among tools of this class undoubtedly is the Mathematica system. The book focuses on a important aspect - modular programming supported by Mathematica. The given aspect is of particular importance not only for appendices but also above all it is quite important in the creation of the user tools that expand the most frequently used standard tools of the system and/or eliminate its shortcomings, or complement the new facilities.Software represented in the book contain a number of useful and effective receptions of procedural and functional programming in the Mathematica system that extend the system software and allow sometimes much more efficiently and easily to program the program projects for various purposes first of all wearing system character. The presented tools are of interest not only as independent tools, but also contain a number of the receptions useful in practical programming in the Mathematica software.The above software rather essentially dilates the Mathematica functionality and can be useful enough for programming of many applications above all of system character. Moreover, the AVZ_Package package containing more 800 tools of various purpose with freeware license is attached to the book.The given book is oriented on a wide enough circle of the users of computer mathematics systems, researchers, teachers and students of universities for courses of computer science, mathematics, physics and many other natural disciplines. The book will be of interest also to the specialists of the industry and technology that use the CMS in own professional activity.In the course of preparation of the present book the licensed releases 8 ÷ 10 of the Mathematica system provided by the Wolfram Research Inc. have been used.

The Art of Programming in the Mathematica System
The Art of Programming in the Mathematica System

Author: Victor Aladjev

Publisher: Lulu.com

Published: 2016-11-25

Total Pages: 742

ISBN-13: 1365560732

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Software presented in the book contain a number of useful and effective receptions of procedural and functional programming in the Mathematica that extend the system software and allow sometimes more efficiently and easily to program the projects for various purposes. The presented tools are of interest not only as independent tools, but also contain a number of the receptions useful in practical programming in the Mathematica software, having a rather essential training character. The above software rather essentially dilates the Mathematica functionality and can be useful enough for programming of many appendices. Moreover, the MathToolBox package containing more 940 tools of various purposes with freeware license is attached to the book. The given book is oriented on a wide enough circle of the users of computer mathematics systems, researchers, teachers and students of universities for courses of computer science, mathematics, physics and many other natural disciplines.

Programming with Mathematica®
Programming with Mathematica®

Author: Paul Wellin

Publisher: Cambridge University Press

Published: 2013-01-10

Total Pages: 731

ISBN-13: 1107009464

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This practical, example-driven introduction teaches the foundations of the Mathematica language so it can be applied to solving concrete problems.

Scientific Computing
Scientific Computing

Author: Michael T. Heath

Publisher: SIAM

Published: 2018-11-14

Total Pages: 587

ISBN-13: 1611975581

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This book differs from traditional numerical analysis texts in that it focuses on the motivation and ideas behind the algorithms presented rather than on detailed analyses of them. It presents a broad overview of methods and software for solving mathematical problems arising in computational modeling and data analysis, including proper problem formulation, selection of effective solution algorithms, and interpretation of results. In the 20 years since its original publication, the modern, fundamental perspective of this book has aged well, and it continues to be used in the classroom. This Classics edition has been updated to include pointers to Python software and the Chebfun package, expansions on barycentric formulation for Lagrange polynomial interpretation and stochastic methods, and the availability of about 100 interactive educational modules that dynamically illustrate the concepts and algorithms in the book. Scientific Computing: An Introductory Survey, Second Edition is intended as both a textbook and a reference for computationally oriented disciplines that need to solve mathematical problems.

Filter Design for Signal Processing Using MATLAB and Mathematica
Filter Design for Signal Processing Using MATLAB and Mathematica

Author: Miroslav D. Lutovac

Publisher: Miroslav Lutovac

Published: 2001

Total Pages: 786

ISBN-13: 0201361302

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A complete up-to-date reference for advanced analog and digital IIR filter design rooted in elliptic functions. "Revolutionary" in approach, this book opens up completely new vistas in basic analog and digital IIR filter design--regardless of the technology. By introducing exceptionally elegant and creative mathematical stratagems (e.g., accurate replacement of Jacobi elliptic functions by functions comprising polynomials, square roots, and logarithms), optimization routines carried out with symbolic analysis by "Mathematica," and the advance filter design software of MATLAB, it shows readers how to design many types of filters that cannot be designed using conventional techniques. The filter design algorithms can be directly programed in any language or environment such as Visual BASIC, Visual C, Maple, DERIVE, or MathCAD. Signals; Systems; Transforms; Classical Analog Filter Design; Advanced Analog Filter Design Case Studies; Advanced Analog Filter Design Algorithms; Multi-criteria Optimization of Analog Filter Designs; Classical Digital Filter Design; Advanced Digital Filter Design Case Studies; Advanced Digital Filter Design Algorithms; Multi-criteria Optimization of Digital Filter Designs; Elliptic Functions; Elliptic Rational Function.

MATLAB Programming
MATLAB Programming

Author: Dingyü Xue

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2020-03-23

Total Pages: 358

ISBN-13: 3110663708

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This book presents fundamentals in MATLAB programming, including data and statement structures, control structures, function writing and bugging in MATLAB programming, followed by the presentations of algebraic computation, transcendental function evaluations and data processing. Advanced topics such as MATLAB interfacing, object-oriented programming and graphical user interface design are also addressed.

The Mathematica GuideBook for Programming
The Mathematica GuideBook for Programming

Author: Michael Trott

Publisher: Springer

Published: 2013-12-21

Total Pages: 1060

ISBN-13: 1441985034

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This comprehensive, detailed reference provides readers with both a working knowledge of Mathematica in general and a detailed knowledge of the key aspects needed to create the fastest, shortest, and most elegant implementations possible. It gives users a deeper understanding of Mathematica by instructive implementations, explanations, and examples from a range of disciplines at varying levels of complexity. The three volumes -- Programming, Graphics, and Mathematics, total 3,000 pages and contain more than 15,000 Mathematica inputs, over 1,500 graphics, 4,000+ references, and more than 500 exercises. This first volume begins with the structure of Mathematica expressions, the syntax of Mathematica, its programming, graphic, numeric and symbolic capabilities. It then covers the hierarchical construction of objects out of symbolic expressions, the definition of functions, the recognition of patterns and their efficient application, program flows and program structuring, and the manipulation of lists. An indispensible resource for students, researchers and professionals in mathematics, the sciences, and engineering.

Classical Mechanics
Classical Mechanics

Author: Christopher W. Kulp

Publisher: CRC Press

Published: 2020-11-16

Total Pages: 473

ISBN-13: 135102437X

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Classical Mechanics: A Computational Approach with Examples using Python and Mathematica provides a unique, contemporary introduction to classical mechanics, with a focus on computational methods. In addition to providing clear and thorough coverage of key topics, this textbook includes integrated instructions and treatments of computation. Full of pedagogy, it contains both analytical and computational example problems within the body of each chapter. The example problems teach readers both analytical methods and how to use computer algebra systems and computer programming to solve problems in classical mechanics. End-of-chapter problems allow students to hone their skills in problem solving with and without the use of a computer. The methods presented in this book can then be used by students when solving problems in other fields both within and outside of physics. It is an ideal textbook for undergraduate students in physics, mathematics, and engineering studying classical mechanics. Features: Gives readers the "big picture" of classical mechanics and the importance of computation in the solution of problems in physics Numerous example problems using both analytical and computational methods, as well as explanations as to how and why specific techniques were used Online resources containing specific example codes to help students learn computational methods and write their own algorithms A solutions manual is available via the Routledge Instructor Hub and extra code is available via the Support Material tab

Engineering Simulation and its Applications
Engineering Simulation and its Applications

Author: Xin-She Yang

Publisher: Elsevier

Published: 2024-02-01

Total Pages: 240

ISBN-13: 0443140855

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Engineering Simulation and its Applications: Algorithms and Numerical Methods covers the essential quantitative methods needed for engineering simulations, introducing optimization techniques that can be used in the design of systems to minimize cost and maximize efficiency. This book serves as a reference and textbook for courses such as engineering simulation, design optimization, mathematical modeling, numerical methods, data analysis, and engineering management. Diverse coverage of the various subject areas within the field puts the essential topics into a single book for easy access for graduates and senior undergraduates. It also serves as a reference book for lecturers and industrial practitioners. - Introduces all essential algorithms and numerical methods - Balances theory and numerical techniques - Provides numerous worked examples