ABSTRACT

The programmed approach, established in the first two editions is maintained in the third and it provides a sound foundation from which the student can build a solid engineering understanding.  This edition has been modified to reflect the changes in the syllabuses which students encounter before beginning undergraduate studies.  The first two chapters include material that assumes the reader has little previous experience in maths. Written by CHarles Evans who lectures at the University of Portsmouth and has been teaching engineering and applied mathematics for more than 25 years. This text provides one of the essential tools for both undergraduate students and professional engineers.     

chapter 1|38 pages

Basic ideas

chapter 2|36 pages

Further concepts

chapter 3|39 pages

Trigonometry and geometry

chapter 4|36 pages

Limits, continuity and differentiation

chapter 5|39 pages

Hyperbolic functions

chapter 6

Further differentiation

chapter 7|26 pages

Partial differentiation

chapter 8|34 pages

Series expansions and their uses

chapter 9|20 pages

Infinite series

chapter 10|34 pages

Complex numbers

chapter 11|22 pages

Matrices

chapter 12|21 pages

Determinants

chapter 13|22 pages

Inverse matrices

chapter 14|36 pages

Vectors

chapter 15|26 pages

Integration 1

chapter 16

Integration

chapter 17|38 pages

Integration 3

chapter 18|31 pages

Numerical techniques

chapter 19|33 pages

First-order differential equations

chapter 20|31 pages

Second-order differential equations

chapter 21|29 pages

Fourier series

chapter 22|30 pages

Laplace transforms

chapter 23|26 pages

Descriptive statistics

chapter 24|45 pages

Probability