1st Edition

# Handbook of Mathematics for Engineers and Scientists

**Also available as eBook on:**

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.

**Authors**

**Foreword**

**Main Notation**

*DEFINITIONS, FORMULAS, METHODS, AND THEOREMS***Arithmetic and Elementary Algebra**

**Elementary Functions**

**Elementary Geometry**

**Analytic Geometry**

**Algebra**

**Limits and Derivatives**

**Integrals**

**Series**

**Differential Geometry**

**Functions of Complex Variable**

**Integral Transforms**

**Ordinary Differential Equations**

**First-Order Partial Differential Equations**

**Linear Partial Differential Equations**

**Nonlinear Partial Differential Equations**

**Integral Equations**

**Difference Equations and Other Functional Equations**

**Special Functions and Their Properties**

**Calculus of Variations and Optimization**

**Probability Theory**

**Mathematical Statistics**

*MATHEMATICAL TABLES***Finite Sums and Infinite Series**

**Integrals**

**Integral Transforms**

**Ordinary Differential Equations**

**Systems of Ordinary Differential Equations**

**First-Order Partial Differential Equations**

**Linear Equations and Problems of Mathematical Physics**

**Nonlinear Mathematical Physics Equations**

**Systems of Partial Differential Equations**

**Integral Equations**

**Functional Equations**

**Supplement: Some Useful Electronic Mathematical Resources**

**Index**

### Biography

Polyanin, Andrei D.; Manzhirov, Alexander V.

“The book is split into two parts: methods (about 1100 pages), and tables (about 400 pages). Both parts are well structured and well written. … the coverage of the topics included is excellent … this is a fine reference text, offered at a very reasonable price …”

—SIAM Review,Vol. 49, No. 3, September 2007