Handbook of Mathematics

I.N. Bronshtein, K.A. Semendyayev, Gerhard Musiol, Heiner Mühlig3540721215, 978-3-540-72121-5

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. For the 5th edition, the chapters “Computer Algebra Systems” and “Dynamical Systems and Chaos” were fundamentally revised, updated and expanded. In the chapter “Algebra and Discrete Mathematics” a section on “Finite Fields and Shift Registers” was added.

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Table of contents :
14 – Function Theory……Page 1
Contents……Page 7
1 – Arithmetic……Page 44
2 – Functions……Page 90
3 – Geometry……Page 171
4 – Linear Algebra……Page 294
5 – Algebra and Discrete Mathematics……Page 329
6 – Differentiation……Page 422
7 – Infinite Series……Page 447
8 – Integral Calculus……Page 470
10 – Calculus of Variations……Page 530
11 – Linear Integral Equations……Page 595
12 – Functional Analysis……Page 606
15 – Integral Transformations……Page 750
16 – Probability Theory and Mathematical Statistics……Page 788
18 – Optimization……Page 840
19 – Numerical Analysis……Page 889
20 – Computer Algebra Systems……Page 927
21 – Tables……Page 996
22 – Bibliography……Page 1053
Index……Page 1141
Mathematical Symbols……Page 1203