Mathematical Methods for Science Students

This compact presentation of essential mathematics is geared toward undergraduate students in the physical sciences and related fields. Prerequisites include some background in analytical geometry, simple differentiation and integration, and the uses of the sine, cosine, exponential, and logarithmic functions.  The treatment incorporates a few more difficult topics, such as group theory and integral equations, in the hope of stimulating interest in these areas. 
Undergraduates in engineering, physics, chemistry, and operations research will find this book a useful review of the mathematical methods that they will be using throughout their education and beyond.  The text features numerous worked examples, and a selection of unworked problems appears at the end of each chapter.

Geoffrey Stephenson (1927–2018) was Reader in the Department of Mathematics at the Imperial College of Science and Technology, London. He was the author of several mathematical texts, including the Dover books An Introduction to Matrices, Sets and Groups and Worked Examples in Mathematics for Scientists and Engineers.

Preface to the First Edition
Preface to the Second Edition
1. Real Numbers and Functions of a real Variable
2. Inequalities
3. Limits, Continuity and Differentiability
4. Indefinite, Definite and Improper Integrals
5. Convergence of Infinite Series
6. Taylor and Maclaurin Series
7. Complex Variables
8. Hyperbolic Functions
9. Partial Differentiation
10. Differentiation and Integration of Integrals
11. Elliptic Integrals
12. Line Integrals and Multiple Integrals
13, Gamma-Function and related integrals
14. Numerical Integration
15. Fourier Series
16. Determinants
17. Matrices
18. Groups
19. Vectors 
20. Solution of Algebraic and Transcendental Equations
21. Ordinary Differential Equations
22. Series Solution of Ordinary Differential Equations
23.The Laplace Transformation
24. Partial Differential Equations
25. Calculus of Variations
26. Difference Equations
27. Simple Integral Equations
Answers to Problems
Index.