ABSTRACT

Covering the main fields of mathematics, this handbook 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. The authors describe formulas, methods, equations, and solutions that are frequently used in scientific and engineering applications and present classical as well as newer solution methods for various mathematical equations. The book supplies numerous examples, graphs, figures, and diagrams and contains many results in tabular form, including finite sums and series and exact solutions of differential, integral, and functional equations.

chapter 1|16 pages

Arithmetic and Elementary Algebra

chapter 2|24 pages

Elementary Functions

chapter 3|34 pages

Elementary Geometry

chapter 4|78 pages

Analytic Geometry

chapter 5|80 pages

Algebra

chapter 6|38 pages

Limits and Derivatives

chapter 7|64 pages

Integrals

chapter 8|30 pages

Series

chapter 9|32 pages

Differential Geometry

chapter 10|36 pages

Functions of Complex Variable

chapter 11|18 pages

Integral Transforms

chapter 12|100 pages

Ordinary Differential Equations

chapter 13|32 pages

First-Order Partial Differential Equations

chapter 14|68 pages

Linear Partial Differential Equations

chapter 15|148 pages

Nonlinear Partial Differential Equations

chapter 16|72 pages

Integral Equations

chapter 18|54 pages

Special Functions and Their Properties

chapter 19|40 pages

Calculus of Variations and Optimization

chapter 20|50 pages

Probability Theory

chapter 21|30 pages

Mathematical Statistics