Introductory Mathematics Through Science Applications

ISBN-13: 9780521284462 / Angielski / Miękka / 1989 / 560 str.

John Berry; J. S. Berry; A. Norcliffe

Opis

Covering the basic mathematics taught to first year students of science and engineering, this textbook reflects the growing awareness that ancillary mathematics should not be taught in isolation from its applications. Topics covered include calculus, ordinary and partial differential equations, and statistics. Each chapter starts with two or three examples setting the new techniques to be studied in the context of the scientific world; the mathematics is then presented, along with worked examples. Numerical methods are integrated with analytical techniques where appropriate.

Spis treści

Preface; 1. Basic functions; 2. Functions for science I: the exponential functions; 3. Functions for science II: trigonometric functions; 4. Functions for science III: inverse functions; 5. Other functions of science; 6. Differentiation I: rates of change; 7. Differentiation II: stationary points; 8. Differentiation III: approximation of functions; 9. Integration I: introduction and standard forms; 10. Integration II: techniques of integration; 11. Integration III: further techniques; 12. First-order differential equations; 13. Second-order ordinary differential equations; 14. Statistics I: frequency distributions and associated measures; 15. Statistics II: probability and probability distributions; 16. Statistics III: sampling, sampling distributions and hypothesis testing; 17. Partial differentiation I: introduction; 18. Partial differentiation II: stationary points; Answers to the exercises; Index.