An Analytical Calculus: Volume 4
For School and University
E. A. Maxwell(Author)
Cambridge University Press
Published on 1. January 1957
Book
Hardback
302 pages
978-0-521-05699-1 (ISBN)
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Description
This 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.
More details
Language
English
Place of publication
Cambridge
United Kingdom
Target group
College/higher education
Illustrations
Worked examples or Exercises
Weight
510 gr
ISBN-13
978-0-521-05699-1 (9780521056991)
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Schweitzer Classification
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Book
11/2008
Cambridge University Press
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Additional editions

Book
11/2008
Cambridge University Press
€54.40
Shipment within 15-20 days
Content
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.