دانلود کتاب Mathematical Methods for Mathematicians, Physical Scientists and Engineers

- imparts the necessary mathematics for use of the techniques, with subject-related worked examples throughout
- encapsulates the entire context of teaching material for UK honours degree courses in mathematics, physics, chemistry and engineering, and is also appropriate for post-graduate study

This practical introduction encapsulates the entire content of teaching material for UK honours degree courses in mathematics, physics, chemistry and engineering, and is also appropriate for post-graduate study. It imparts the necessary mathematics for use of the techniques, with subject-related worked examples throughout. The text is supported by challenging problem exercises (and answers) to test student comprehension. Index notation used in the text simplifies manipulations in the sections on vectors and tensors. Partial differential equations are discussed, and special functions introduced as solutions. The book will serve for postgraduate reference worldwide, with variation for USA.



Contents

Functions of one variable

Complex numbers

Integration

Infinite series

Matrices and determinants

Vector algebra

Functions of several variables

Ordinary differential equations

Line, surface and volume integrals

Vector analysis

Fourier series

Partial differential equations

Some special functions

Functions of a complex variable

Tensors

Answers to exercises

Bibliography