Introductory Mathematics through Science Applications

by J. Berry , A. Norcliffe , S. Humble

• ISBN13: 9780521284462
• ISBN10: 0521284465
• Format: Paperback
• Copyright: 1989-07-28
• Publisher: Cambridge University Press

Summary

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.

Table of Contents

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.