Использование прикладных пакетов в задачах математического программирования: Учебное пособие

The product of a unique collaboration among four leading scientists in academic research and industry, Numerical Recipes is a complete text and reference book on scientific computing. In a self-contained manner it proceeds from mathematical and theoretical considerations to actual practical computer routines. With over 100 new routines bringing the total to well over 300, plus upgraded versions of the original routines, the new edition remains the most practical, comprehensive handbook of scientific computing available today.

Note: This edition only includes the diskette.

A considerable (50%) expansion of what has come to be the handbook of first resort in scientific computation. A few new chapters were added, and, mainly, many more topics/techniques are now concisely discussed. A great addition to any reference collection, even if you already have the first edition. The text comes in both C and Fortran editions. Cambridge also makes available the following companion products, which our customers have found extremely valuable in their own right: Example books---- tutorial guides to using the routines within your own programs Program disks---- all 300+ routines from the text itself, plus sample programs from the example books. For the basic book, example books, and disks, be sure to specify whether Fortran or C editions are preferred; for the disks, be sure to specify IBM (3.5" or 5.25") or Macintosh formats.

This book provides a systematic approach for the algorithmic formulation and implementation of mathematical operations in computer algebra programming languages. The viewpoint is that mathematical expressions, represented by expression trees, are the data objects of computer algebra programs, and by using a few primitive operations that analyze and construct expressions, we can implement many elementary operations from algebra, trigonometry, calculus, and differential equations. With a minimum of prerequisites this book is accessible to and useful for students of mathematics, computer science, and other technical fields. The book contains a CD with the full, searchable text and implementations of all algorithms in the Maple, Mathematica, and MuPad programming languages.

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This textbook explains the formulation of algorithms that solve symbolic mathematical problems, and the implementation of these algorithms in computer algebra programming languages. The mathematical pseudo-language (MPL) is used throughout the book to illustrate the structure of recursive procedures, polynomials, rational expressions, and exponential and trigonometric functions. The CD- ROM contains algorithms and an electronic version of the text. Annotation c. Book News, Inc., Portland, OR

Engineering with Mathcad is a must-have resource for students, scientists, and engineers wanting to learn how to use and apply Mathcad. Experienced Mathcad users will benefit by learning how to apply Mathcad to create and organize complete project calculations.This book: Provides a step-by-step approach that enables easy learning. Identifies the Mathcad functions useful for key engineering calculations. Demonstrates how other software, such as Microsoft Excel, can be incorporated into Mathcad's calculation worksheets. Includes the following Mathcad features: units, arrays, plotting, solving, symbolic calculations, programming, and calculus.Mathcad has hundreds of features and functions which can be very time consuming to master but which can offer great benefits in productivity. Engineering with Mathcad quickly teaches basic Mathcad skills, demonstrates very useful and powerful features and explains how to apply these to create and organize comprehensive technical calculations. With this time-saving, easy-to-learn resource, engineers in industry, scientists and students will be able to quickly utilize the power of Mathcad to solve both simple and complex engineering problems. Using the author's considerable experience of applying Mathcad to engineering problems, Engineering with Mathcad identifies the most powerful functions and features of the software and teaches how to apply these to create comprehensive engineering calculations. Many examples from a variety of engineering fields demonstrate the power and utility of Mathcad's tools, while also demonstrating how other software, such as Microsoft Excel spreadsheets, can be incorporated effectively. This simple, step-by-step approach makes this book an ideal Mathcad text for professional engineers as well as engineering and science students.A CD-ROM packaged with the book contains all the examples in the text and an evaluation version of the Mathcad software, enabling the reader to learn by doing and experiment by changing parameters.• Identifies the key Mathcad functions for creating comprehensive engineering calculations• A step-by-step approach enables easy learning for professional engineers and students alike• Includes a CD-ROM containing all the examples in the text and an evaluation version of the Mathcad software Preface to the Second Edition Preface to the First Edition Legal Matters Computer Programs by Chapter and Section Preliminaries Solution of Linear Algebraic Equations Interpolation and Extrapolation Integration of Functions Evaluation of Functions Special Functions Random Numbers Sorting Root Finding and Nonlinear Sets of Equations Minimization or Maximization of Functions Eigensystems Fast Fourier Transform Fourier and Spectral Applications Statistical Description of Data Modeling of Data Integration of Differential Equations Two Point Boundary Value Problems Integral Equations and Inverse Theory Partial Differential Equations Less-Numerical Algorithms References Table of Prototype Declarations Utility Routines Complex Arithmetic Index of Programs and Dependencies General Index

mathematica, Maple, And Similar Software Packages Provide Programs That Carry Out Sophisticated Mathematical Operations. Applying The Ideas Introduced In Computer Algebra And Symbolic Computation: Elementary Algorithms, This Book Explores The Application Of Algorithms To Such Methods As Automatic Simplification, Polynomial Decomposition, And Polynomial Factorization. This Book Includes Complexity Analysis Of Algorithms And Other Recent Developments. It Is Well-suited For Self-study And Can Be Used As The Basis For A Graduate Course. Maintaining The Style Set By Elementary Algorithms, The Author Explains Mathematical Methods As Needed While Introducing Advanced Methods To Treat Complex Operations.

"This text: is well-suited for self-study and can be used as the basis for an advanced undergraduate or beginning graduate course; maintains the style set by Elementary Algorithms; introduces advanced methods to treat complex operations; presents implementations in such programs as Mathematica, Maple, and MuPAD; and includes a CD with the complete text, hyperlinks, and algorithms as well as additional reference files.". "For the student, Mathematical Methods is an essential companion to Elementary Algorithms, illustrating applications of basic ideas. For the professional, Mathematical Methods is a look at new applications of familiar concepts."--BOOK JACKET. The product of a unique collaboration among four leading scientists in academic research and industry, Numerical Recipes is a comprehensive text and reference work on scientific computing. Thoroughly self-contained, it proceeds from mathematical and theoretical considerations to actual, practical computer routines.This new version incorporates completely new C++ versions of the more than 300 Numerical Recipes Second Edition routines widely recognized as the most accessible and practical basis for scientific computing, in addition to including the full mathematical and explanatory contents of Numerical Recipes in C. This example book is part of the Numerical Recipes series. It contains C source programs which exercise and demonstrate all of these Numerical Recipes subroutines, procedures, and functions. Each program contains comments and is prefaced by a short description of what it does and of which Numerical Recipes it exercises. This book, like its predecessor edition, is supposed to teach you methods of numerical computing that are practical, efficient, and (insofar as possible) elegant. In this chapter we summarize the background material that provides a framework for the mathematical and computational discussions in the book. CD-ROM contains: Electronic version of text -- Links to references -- Complete algorithms