Handbook of Mathematics

I.N. Bronshtein, K.A. Semendyayev, Gerhard Musiol, Heiner Mühlig3540721215, 9783540721215

This incredibly useful guide book to mathematics contains the fundamental working knowledge of mathematics which is needed as an everyday guide for working scientists and engineers, as well as for students. Now in its fifth updated edition, it is easy to understand, and convenient to use. Inside you’ll find 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. For the 5th edition, the chapters “Computer Algebra Systems” and “Dynamical Systems and Chaos” have been revised, updated and expanded.

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Table of contents :
front-matter……Page 1
1Arithmetic……Page 43
2Functions……Page 89
3Geometry……Page 170
4Linear Algebra……Page 293
5Algebra and Discrete Mathematics……Page 328
6Differentiation……Page 421
7Infinite Series……Page 446
8Integral Calculus……Page 469
9Differential Equations……Page 529
10Calculus of Variations……Page 594
11Linear Integral Equations……Page 605
12Functional Analysis……Page 638
13Vector Analysis and Vector Fields……Page 684
14Function Theory……Page 713
15Integral Transformations……Page 749
16Probability Theory and Mathematical Statistics……Page 787
17Dynamical Systems and Chaos……Page 839
18Optimization……Page 888
19Numerical Analysis……Page 926
20Computer Algebra Systems……Page 995
21Tables……Page 1052
22Bibliography……Page 1140
back-matter……Page 1151