Basic Mathematics for the Physical Sciences

by Lambourne, Robert; Tinker, Michael

• ISBN13: 9780471852070
• ISBN10: 0471852074
• Edition: 1st
• Format: Paperback
• Copyright: 2000-04-07
• Publisher: WILEY

Summary

Basic Mathematics for the Physical Sciences Basic Mathematics for the Physical Sciences provides a thorough introduction to the essential mathematical techniques needed in the physical sciences. Carefully structured as a series of self-paced and self-contained chapters, this text covers the basic techniques on which more advanced material is built. Starting with arithmetic and algebra, the text then moves on to cover basic elements of geometry, vector algebra, differentiation and finally integration, all within an applied environment. The reader is guided through these different techniques with the help of numerous worked examples, applications, problems, figures, and summaries. The authors aim to provide high-quality and thoroughly class-tested material to meet the changing needs of science students. Basic Mathematics for the Physical Sciences: * Is a carefully structured text, with self-contained chapters. * Gradually introduces mathematical techniques within an applied environment. * Includes many worked examples, applications, problems, and summaries in each chapter. Basic Mathematics for the Physical Sciences will be invaluable to all students of physics, chemistry and engineering, needing to develop or refresh their knowledge of basic mathematics. The book's structure will make it equally valuable for course use, home study or distance learning.

Author Biography

Robert Lambourne is the editor of Basic Mathematics for the Physical Sciences, published by Wiley. Michael Tinker is the editor of Basic Mathematics for the Physical Sciences, published by Wiley.

Table of Contents

Preface - The FLAP project	vii
Introduction - This book and how to use it	xi
Part 1 - Basic arithmetic and algebra	1	(204)
Introducing arithmetic and algebra	3	(30)
Numbers, units and physical quantities	33	(22)
Functions and graphs	55	(32)
Solving equations	87	(30)
Trigonometric functions	117	(35)
Exponential and logarithmic functions	152	(36)
Hyperbolic functions	188	(17)
Part 2 - Basic geometry	205	(96)
Introducing geometry	207	(24)
Coordinate geometry	231	(38)
Conic sections	269	(32)
Part 3 - Basic vector algebra	301	(42)
Introducing scalars and vectors	303	(19)
Working with vectors	322	(21)
Part 4 - Basic differentiation	343	(126)
Introducing differentiation	345	(27)
Differentiating simple functions	372	(32)
Differentiating composite functions	404	(31)
Stationary points and graph sketching	435	(34)
Part 5 - Basic integration	469	(100)
Introducing integration	471	(33)
Integrating simple functions	504	(33)
Integrating by parts and by substitution	537	(32)
Appendix - Maths handbook	569	(27)
Answers and comments	596	(71)
Index	667