# Foundation Mathematics for the Physical Sciences

Cambridge University Press, 3/31/2011

EAN 9780521192736, ISBN10: 0521192730

Hardcover, 736 pages, 24.6 x 18.9 x 3.5 cm

Language: English

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.

1. Arithmetic and geometry

2. Preliminary algebra

3. Differential calculus

4. Integral calculus

5. Complex numbers and hyperbolic functions

6. Series and limits

7. Partial differentiation

8. Multiple integrals

9. Vector algebra

10. Matrices and vector spaces

11. Vector calculus

12. Line, surface and volume integrals

13. Laplace transforms

14. Ordinary differential equations

15. Elementary probability

Appendices

Index.