Further Mathematics for the Physical Sciences

by Tinker, Michael; Lambourne, Robert

• ISBN13: 9780471867234
• ISBN10: 0471867233
• Edition: 1st
• Format: Paperback
• Copyright: 2000-06-08
• Publisher: WILEY

Summary

Further Mathematics for the Physical Sciences Further Mathematics for the Physical Sciences aims to build upon the reader's knowledge of basic mathematical methods, through a gradual progression to more advanced methods and techniques. Carefully structured as a series of self-paced and self-contained chapters, this text covers the essential and most important techniques needed by physical science students. Starting with complex numbers, the text then moves on to cover vector algebra, determinants, matrices, differentiation, integration, differential equations and finally vector calculus, 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. Further 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. Further 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

Michael Tinker is the editor of Further Mathematics for the Physical Sciences, published by Wiley.

Robert Lambourne is the editor of Further 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-Complex numbers	1	(76)
Introducing complex numbers	3	(27)
Polar representation of complex numbers	30	(27)
Demoivre's theorem and complex algebra	57	(20)
Part 2-Vector algebra	77	(48)
Scalar products of vectors	79	(23)
Vector products of vectors	102	(23)
Part 3-Determinants and matrices	125	(44)
Determinants	127	(16)
Matrices	143	(26)
Part 4-Differentiation, expansion and approximation	169	(90)
Expansions and approximations	171	(34)
Taylor expansions and polynomial approximations	205	(34)
Hyperbolic functions and differentiation	239	(20)
Part 5-Integration, summation and averaging	259	(84)
Areas, volumes and averages	261	(38)
Special integration techniques	299	(44)
Part 6-Differential equations	343	(136)
Formulating and classifying differential equations	345	(30)
Solving first-order differential equations	375	(25)
Solving second-order differential equations	400	(32)
Waves and partial differential equations	432	(47)
Part 7-Vector calculus	479	(110)
Differentiating vectors	481	(59)
Integrating vectors	540	(49)
Appendix - Maths handbook	589	(50)
1	479	(138)
2	617	(22)
Answers and comments	639	(86)
Index	725