Handbook of Mathematics for Engineers and Scientists

ISBN-13: 9781584885023 / Angielski / Twarda / 2006 / 1544 str.

Andrei D. Polyanin; Alexander V. Manzhirov

Opis

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.

Recenzje

“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

Spis treści

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

O autorze

Polyanin, Andrei D.; Manzhirov, Alexander V.