Foundation mathematics for the physical sciences
著者
書誌事項
Foundation mathematics for the physical sciences
Cambridge University Press, 2011
- : hbk
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内容説明・目次
内容説明
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.
目次
- 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.
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