Foundation Mathematics for the Physical Sciences

by K. F. Riley , M. P. Hobson

• ISBN13: 9780521192736
• ISBN10: 0521192730
• Format: Hardcover
• Copyright: 2011-04-29
• Publisher: Cambridge University Press

Summary

This tutorial-style textbook develops the basic mathematical tools needed by first and second year undergraduates to solve problems in the physical sciences. Students gain hands-on experience through hundreds of worked examples, self-test questions and homework problems. Each chapter includes a summary of the main results, definitions and formulae. Over 270 worked examples show how to put the tools into practice. Around 170 self-test questions in the footnotes and 300 end-of-section exercises give students an instant check of their understanding. More than 450 end-of-chapter problems allow students to put what they have just learned into practice. Hints and outline answers to the odd-numbered problems are given at the end of each chapter. Complete solutions to these problems can be found in the accompanying Student Solutions Manual. Fully-worked solutions to all problems, password-protected for instructors, are available at www.cambridge.org/foundation.

Table of Contents

Arithmetic and geometry

Preliminary algebra

Differential calculus

Integral calculus

Complex numbers and hyperbolic functions

Series and limits

Partial differentiation

Multiple integrals

Vector algebra

Matrices and vector spaces

Vector calculus

Line, surface and volume integrals

Laplace transforms

Ordinary differential equations

Elementary probability

Appendices

Index

Table of Contents provided by Publisher. All Rights Reserved.