Handbook of Mathematics

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Название: Handbook of Mathematics

Автор: I.N. Bronshtein, K.A. Semendyayev, Gerhard Musiol, Heiner Muhlig

Издательство: Springer

Год: 2015

Страниц: 1254

ISBN: 978-3-662-46220-1, 978-3-662-46221-8

Формат: PDF

Размер: 12 Мб

Язык: English

This guide book to mathematics contains in handbook form the fundamental working knowledge of mathematics which is needed as an everyday guide for working scientists and engineers, as well as for students. Easy to understand, and convenient to use, this guide book gives concisely the information necessary to evaluate most problems which occur in concrete applications.

In the newer editions emphasis was laid on those fields of mathematics that became more important for the formulation and modeling of technical and natural processes, namely Numerical Mathematics, Probability Theory and Statistics, as well as Information Processing. Besides many enhancements and new paragraphs, new sections on Geometric and Coordinate Transformations, Quaternions and Applications, and Lie Groups and Lie Algebras were added for the sixth edition.

Contents

Front Matter ... I-XLIV

Arithmetics ... 1-47

Functions ... 48-128

Geometry ... 129-268

Linear Algebra ... 269-322

Algebra and Discrete Mathematics ... 323-431

Differentiation ... 432-456

Infinite Series ... 457-479

Integral Calculus ... 480-539

Differential Equations ... 540-609

Calculus of Variations ... 610-620

Linear Integral Equations ... 621-653

Functional Analysis ... 654-700

Vector Analysis and Vector Fields ... 701-730

Function Theory ... 731-766

Integral Transformations ... 767-804

Probability Theory and Mathematical Statistics ... 805-856

Dynamical Systems and Chaos ... 857-908

Optimization ... 909-948

Numerical Analysis ... 949-1022

Computer Algebra Systems-Example Mathematica ... 1023-1052

Tables ... 1053-1139

Bibliography ... 1140-1151

Back Matter ... 1152-1211