Introductory Mathematics through Science Applications

J. Berry (Author), A. Norcliffe (Author), S. Humble (Author)

9780521284462, Cambridge University Press

Paperback, published 8 June 1989

560 pages
24.3 x 17.2 x 3.3 cm, 0.972 kg

This textbook, covering the basic mathematics taught to first-year students of science and engineering, 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. The resulting textbook provides the teacher with a rich and varied source of applications for classroom use and students with a textbook for self-learning, giving insight into the significance and role of mathematics in science and engineering.

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.

Subject Areas: Maths for engineers [TBJ], Physics [PH], Maths for scientists [PDE]