This tutorial-style textbook develops the basic mathematical tools needed by undergraduates to solve problems in the physical sciences. Students gain hands-on experience through hundreds of worked examples, self-test questions and homework problems. Solutions to odd-numbered problems are given in a Student Solutions Manual, with all solutions available at www.cambridge.org/foundation.
This tutorial-style textbook develops the basic mathematical tools needed by undergraduates to solve problems in the physical sciences. Students gain hands-on experience through hundreds of worked examples, self-test questions and homework problems. Solutions to odd-numbered problems are given in a Student Solutions Manual, with all solutions available at www.cambridge.org/foundation.
K. F. Riley read mathematics at the University of Cambridge and proceeded to a Ph.D. there in theoretical and experimental nuclear physics. He became a Research Associate in elementary particle physics at Brookhaven, and then, having taken up a lectureship at the Cavendish Laboratory, Cambridge, continued this research at the Rutherford Laboratory and Stanford; in particular he was involved in the experimental discovery of a number of the early baryonic resonances. As well as having been Senior Tutor at Clare College, where he has taught physics and mathematics for over 40 years, he has served on many committees concerned with the teaching and examining of these subjects at all levels of tertiary and undergraduate education. He is also one of the authors of 200 Puzzling Physics Problems.
Inhaltsangabe
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.
