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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.
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.
Provides the reader with working knowledge of Mathematica and key aspects of Mathematica's numerical capabilities needed to deal with virtually any "real life" problem Clear organization, complete topic coverage, and an accessible writing style for both novices and experts Website for book with additional materials: http://www.MathematicaGuideBooks.org Accompanying DVD containing all materials as an electronic book with complete, executable Mathematica 5.1 compatible code and programs, rendered color graphics, and animations
This new edition of Mastering Mathematica focuses on using Mathematica as a programming language, because programming in Mathematica is the best way to use the software to its fullest capacity. The book covers functional programming, imperative programming, rewrite programming, and object-oriented programming. It also addresses the use of Mathematica as a symbolic manipulator and a general tool for knowledge representation. * Focus on four different types of programming styles with Mathematica: functional programming, rewrite (or rule-based) programmng, imperative (or procedural) programming, and object-oriented programming, with many examples of each style * Compatible with Mathematica 3.0 and its programming language * Chapters on graphics programming show how to make the most of the considerable graphics capabilities of Mathematica * Includes coverage of programming needed for creation of Mathematica packages that allow a user to extend the language as needed for particular uses * Applications include: * Polya pattern analysis * Critical points of functions * Object-oriented graph theory * Minimal surfaces * Mathematica-Enhanced CD-ROM Enclosed * Complete text in active Mathematica Notebook files, enhanced for v3.0; Allows you to evaluate complex examples without retyping; Extensive use of the v3.0 math typesetting system * Hyperlink index and table of contents * Instant access to any chapter or topic * Index is automatically merged with the main Mathematica help system forming a master index of all the user's Mathematica related information; Quickly see listings on a given topic from The Mathematica Book, Mastering Mathematica, the Guide to Standard Packages, or any other Help Browswer aware books you have installed
Provides reader with working knowledge of Mathematica and key aspects of Mathematica symbolic capabilities, the real heart of Mathematica and the ingredient of the Mathematica software system that makes it so unique and powerful Clear organization, complete topic coverage, and an accessible writing style for both novices and experts Website for book with additional materials: http://www/MathematicaGuideBooks.org Accompanying DVD containing all materials as an electronic book with complete, executable Mathematica 5.1 compatible code and programs, rendered color graphics, and animations
This book presents a way of learning complex analysis, using Mathematica. Includes CD with electronic version of the book.
This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.
This book covers Mathematica® for beginners. An example-driven text covering a wide variety of applications, containing over 350 exercises with solutions available online.
The Wolfram Language represents a major advance in programming languages that makes leading-edge computation accessible to everyone. Unique in its approach of building in vast knowledge and automation, the Wolfram Language scales from a single line of easy-to-understand interactive code to million-line production systems. This book provides an elementary introduction to the Wolfram Language and modern computational thinking. It assumes no prior knowledge of programming, and is suitable for both technical and non-technical college and high-school students, as well as anyone with an interest in the latest technology and its practical application.