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Author: John W. Gray
Publisher: Academic Press
ISBN: 1483214036
Category : Mathematics
Languages : en
Pages : 667
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Book Description
Mastering Mathematica®: Programming Methods and Applications presents the mathematical results and turn them into precise algorithmic procedures that can be executed by a computer. This book provides insight into more complex situations that can be investigated by hand. Organized into four parts, this book begins with an overview of the use of a pocket calculator. This text then looks in more detail at numerical calculations and solving equations, both algebraic and differential equations. Other parts consider the built-in graphics and show how to make pictures without programming. This book discusses as well the four styles of programming, namely, functional programming, imperative programming, rewrite programing, and object oriented programming. The reader is also introduced to differentiable mapping to show the analysis of critical points of functions and the developments in differential geometry that are required to study minimal surfaces. This book is a valuable resource for graduate students in mathematics, mathematics education, engineering, and the sciences.
Author: John W. Gray
Publisher: Academic Press
ISBN: 1483214036
Category : Mathematics
Languages : en
Pages : 667
Get Book Here
Book Description
Mastering Mathematica®: Programming Methods and Applications presents the mathematical results and turn them into precise algorithmic procedures that can be executed by a computer. This book provides insight into more complex situations that can be investigated by hand. Organized into four parts, this book begins with an overview of the use of a pocket calculator. This text then looks in more detail at numerical calculations and solving equations, both algebraic and differential equations. Other parts consider the built-in graphics and show how to make pictures without programming. This book discusses as well the four styles of programming, namely, functional programming, imperative programming, rewrite programing, and object oriented programming. The reader is also introduced to differentiable mapping to show the analysis of critical points of functions and the developments in differential geometry that are required to study minimal surfaces. This book is a valuable resource for graduate students in mathematics, mathematics education, engineering, and the sciences.
Author: John W. Gray
Publisher: Academic Press
ISBN: 9780122961052
Category : Computers
Languages : en
Pages : 656
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Book Description
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
Author: Antonio Romano
Publisher: Springer
ISBN: 3319775952
Category : Science
Languages : en
Pages : 644
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Book Description
This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. Developed by the authors from over 30 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field—from Newton to Hamilton—while also painting a clear picture of the most modern developments. The text is organized into two parts. The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book. Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus. The second part of the book applies these topics to kinematics, rigid body dynamics, Lagrangian and Hamiltonian dynamics, Hamilton–Jacobi theory, completely integrable systems, statistical mechanics of equilibrium, and impulsive dynamics, among others. This new edition has been completely revised and updated and now includes almost 200 exercises, as well as new chapters on celestial mechanics, one-dimensional continuous systems, and variational calculus with applications. Several Mathematica® notebooks are available to download that will further aid students in their understanding of some of the more difficult material. Unique in its scope of coverage and method of approach, Classical Mechanics with Mathematica® will be useful resource for graduate students and advanced undergraduates in applied mathematics and physics who hope to gain a deeper understanding of mechanics.
Author: David McMahon
Publisher: CRC Press
ISBN: 1420010395
Category : Mathematics
Languages : en
Pages : 736
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Book Description
Because of its large command structure and intricate syntax, Mathematica can be difficult to learn. Wolfram's Mathematica manual, while certainly comprehensive, is so large and complex that when trying to learn the software from scratch -- or find answers to specific questions -- one can be quickly overwhelmed. A Beginner's Guide to Mathemat
Author: Jim Hoste
Publisher: McGraw Hill Professional
ISBN: 0071591451
Category : Mathematics
Languages : en
Pages : 406
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Book Description
Need to learn MATHEMATICA? Problem SOLVED! Take full advantage of all the powerful capabilities of Mathematica with help from this hands-on guide. Filled with examples and step-by-step explanations, Mathematica Demystified takes you from your very first calculation all the way to plotting complex fractals. Using an intuitive format, this book explains the fundamentals of Mathematica up front. Learn how to define functions, create 2-D graphs of functions, write basic programs, and use modules. You'll move on to 3-D graphics, calculus, polynomial, linear, and differential equations, dynamical systems, and fractals. Hundreds of examples with concise explanations make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce learning. This self-teaching guide offers: A quick way to get up and running on Mathematica Coverage of Mathematica 6 and 7 Tips for avoiding and correcting syntax errors Details on creating slideshow presentations of your work No unnecessary technical jargon A time-saving approach to performing better on an exam or at work! Simple enough for a beginner, but challenging enough for an advanced user, Mathematica Demystified is your shortcut to mastering this fully integrated technical computing software.
Author: Thomas Bazyli Bahder
Publisher: Addison Wesley Publishing Company
ISBN:
Category : Computers
Languages : en
Pages : 872
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Book Description
This practical guide to Mathematica focuses on the specific needs of scientists and engineers. Problems in these fields often are non-trivial, and can push Mathematica (and any computer system) to its limits. Here the author, providing carefully chosen examples, shows how these problems can be solved.
Author: Sal Mangano
Publisher: "O'Reilly Media, Inc."
ISBN: 1449390765
Category : Computers
Languages : en
Pages : 830
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Book Description
Mathematica Cookbook helps you master the application's core principles by walking you through real-world problems. Ideal for browsing, this book includes recipes for working with numerics, data structures, algebraic equations, calculus, and statistics. You'll also venture into exotic territory with recipes for data visualization using 2D and 3D graphic tools, image processing, and music. Although Mathematica 7 is a highly advanced computational platform, the recipes in this book make it accessible to everyone -- whether you're working on high school algebra, simple graphs, PhD-level computation, financial analysis, or advanced engineering models. Learn how to use Mathematica at a higher level with functional programming and pattern matching Delve into the rich library of functions for string and structured text manipulation Learn how to apply the tools to physics and engineering problems Draw on Mathematica's access to physics, chemistry, and biology data Get techniques for solving equations in computational finance Learn how to use Mathematica for sophisticated image processing Process music and audio as musical notes, analog waveforms, or digital sound samples
Author: Bart M. Haar Romeny
Publisher: Springer Science & Business Media
ISBN: 140208840X
Category : Computers
Languages : en
Pages : 470
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Book Description
Many approaches have been proposed to solve the problem of finding the optic flow field of an image sequence. Three major classes of optic flow computation techniques can discriminated (see for a good overview Beauchemin and Barron IBeauchemin19951): gradient based (or differential) methods; phase based (or frequency domain) methods; correlation based (or area) methods; feature point (or sparse data) tracking methods; In this chapter we compute the optic flow as a dense optic flow field with a multi scale differential method. The method, originally proposed by Florack and Nielsen [Florack1998a] is known as the Multiscale Optic Flow Constrain Equation (MOFCE). This is a scale space version of the well known computer vision implementation of the optic flow constraint equation, as originally proposed by Horn and Schunck [Horn1981]. This scale space variation, as usual, consists of the introduction of the aperture of the observation in the process. The application to stereo has been described by Maas et al. [Maas 1995a, Maas 1996a]. Of course, difficulties arise when structure emerges or disappears, such as with occlusion, cloud formation etc. Then knowledge is needed about the processes and objects involved. In this chapter we focus on the scale space approach to the local measurement of optic flow, as we may expect the visual front end to do. 17. 2 Motion detection with pairs of receptive fields As a biologically motivated start, we begin with discussing some neurophysiological findings in the visual system with respect to motion detection.
Author: Roman E. Maeder
Publisher: Addison-Wesley Professional
ISBN:
Category : Computers
Languages : en
Pages : 312
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Book Description
Author: William T. Shaw
Publisher: Cambridge University Press
ISBN: 9780521592338
Category : Business & Economics
Languages : en
Pages : 570
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Book Description
CD plus book for financial modelling, requires Mathematica 3 or 2.2; runs on most platforms.
