An Analytical Calculus
An Analytical Calculus
£36.99
GBPThis is the final volume of a series covering all stages of development of the Calculus, from the last year at school to degree standard. The books are written for students of science and engineering as well as for specialist mathematicians, and are designed to bridge the gap between the works used in schools and more advanced studies, with their emphasis on rigour. Dr Maxwell guides the student through the early stages of analysis, while keeping the exposition as clear and uncomplicated as possible. The aim is to instil a knowledge of general method rather than to study the particular functions in detail; in this way the student is led on naturally to apply what they have learnt to move advanced mathematical contexts. Dr Maxwell is, as usual, lucid in his presentation, explaining difficulties in greater detail than is customary in an advanced textbook, and guarding against the pitfalls that await the beginner.
Product details
November 2008Paperback
9780521090414
304 pages
216 × 140 × 17 mm
0.39kg
Available
Table of Contents
- Preface
- Introduction
- Part I: Ordinary differential equations
- 19. Equations of the form y'=f(x. y)
- 20. Linear differential equations: general properties
- 21. The linear differential equation with constant coefficients
- 22. The linear differential equation with constant coefficients: alternative method
- Part II: The definition of functions by infinite series and integrals
- 23. The convergence of series
- 24. The definition of functions by series
- 25. Power series
- 26. The definition of functions by integrals
- 27. The solution of differential equations in terms of infinite series
- 28. Fourier series
- Part III: Laplace's equation and related equations
- 29. The transformation of Laplace's equation
- 30. 'Laplace' equations
- 31. Spherical harmonics
- Answers to examples
- Index.
