- 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