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**Description**

The Handbook of Mathematics for Engineers and Scientists 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.

Organized in ascending order of complexity, the material is divided into two parts. 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. Numerous specific examples clarify the methods for solving problems and equations. The second part provides many in-depth mathematical tables, including those of exact solutions of various types of equations.

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

**Content:-**

Authors

Preface

Main Notation

1. Arithmetic and Elementary Algebra

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

Index

**Author Details**

**"Andrei D. Polyanin", D.Sc., Ph.D.,**is a well-known scientist of broad interests who is active in various areas of mathematics, mechanics, and chemical engineering sciences. He is one of the most prominent authors in the field of reference literature on mathematics and physics.

**"Alexander V. Manzhirov", D.Sc., Ph.D.,**is a noted scientist in the fields of mechanics and applied mathematics, integral equations, and their applications.

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