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buy Handbook of Mathematics for Engineers and Scientists by Andrei D. Polyanin, Alexander V. Manzhirov PDF eBook

**"Handbook of Mathematics for Engineers and Scientists" by Andrei D. Polyanin, Alexander V. Manzhirov**

ChР°СЂ&РќР°ll / РЎRРЎ, Ta&Fr Group | 2007 | ISBN: 1584885025 9781584885023 | 1543 pages | PDF | 10 MB

The Handbook covers the main fields of mathematics and focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. To accommodate different mathematical backgrounds, the preeminent authors outline the material in a simplified, schematic manner, avoiding special terminology wherever possible.

This concise, comprehensive compendium of mathematical definitions, formulas, and theorems provides the foundation for exploring scientific and technological phenomena.

вЂў Presents a wealth of useful mathematical information, from elementary to advanced concepts

вЂў Describes formulas, methods, equations, and solutions that are frequently used in scientific and engineering applications

вЂў Covers classical as well as newer solution methods for various mathematical equations, such as algebraic, ordinary differential, partial differential, integral, difference, and functional

вЂў Contains many results in tabular form, including finite sums and series, indefinite and definite integrals, direct and inverse integral transforms, and exact solutions of differential, integral, and functional equations

вЂў Supplies numerous examples, graphs, figures, and diagrams to help with the understanding of the problems and methods discussed

вЂў Includes an extensive table of contents, special font highlighting, cross references, and a detailed index to help locate the desired information

The first part is a coherent survey of the most important definitions, formulas, equations, methods, and theorems. It covers arithmetic, elementary and analytic geometry, algebra, differential and integral calculus, special functions, calculus of variations, and probability theory.

The second part provides many in-depth mathematical tables, including those of exact solutions of various types of equations.

**CONTENTS**

Authors

Preface

Main Notation

Part I. Definitions, Formulas, Methods, and Theorems

1. Arithmetic and Elementary Algebra

2. Elementary Functions

3. Elementary Geometry

4. Analytic Geometry

5. Algebra

6. Limits and Derivatives

7. Integrals

8. Series

9. Differential Geometry

10. Functions of Complex Variable

11. Integral Transforms

12. Ordinary Differential Equations

13. First-Order Partial Differential Equations

14. Linear Partial Differential Equations

15. Nonlinear Partial Differential Equations

16. Integral Equations

17. Difference Equations and Other Functional Equations

18. Special Functions and Their Properties

19. Calculus of Variations and Optimization

20. Probability Theory

21. Mathematical Statistics

Part II. Mathematical Tables

T1. Finite Sums and Infinite Series

T2. Integrals

T3. Integral Transforms

T4. Orthogonal Curvilinear Systems of Coordinate

T5. Ordinary Differential Equations

T6. Systems of Ordinary Differential Equations

T7. First-Order Partial Differential Equations

T8. Linear Equations and Problems of Mathematical Physics

T9. Nonlinear Mathematical Physics Equations

T10. Systems of Partial Differential Equations

T11. Integral Equations

T12. Functional Equations

Supplement. Some Useful ElectronicMathematical Resources

Index

with TOC BookMarkLinks

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