By (author) Richard Beals
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Analysis by Richard Beals
Book DescriptionThis self-contained text, suitable for advanced undergraduates, provides an extensive introduction to mathematical analysis, from the fundamentals to more advanced material. It begins with the properties of the real numbers and continues with a rigorous treatment of sequences, series, metric spaces, and calculus in one variable. Further subjects include Lebesgue measure and integration on the line, Fourier analysis, and differential equations. In addition to this core material, the book includes a number of interesting applications of the subject matter to areas both within and outside the field of mathematics. The aim throughout is to strike a balance between being too austere or too sketchy, and being so detailed as to obscure the essential ideas. A large number of examples and 500 exercises allow the reader to test understanding, practise mathematical exposition and provide a window into further topics.
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Book DetailsISBN: 9780521600477
(253mm x 177mm x 15mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 13-Sep-2004
Country of Publication: United Kingdom
Books By Author Richard Beals
Special Functions, Hardback (August 2010)
A unifying approach suitable for graduate students and mathematicians. It will serve as a textbook and as a convenient reference.
Calculus on Heisenberg Manifolds, Paperback (August 1988)» View all books by Richard Beals
The description for this book, Calculus on Heisenberg Manifolds. (AM-119), will be forthcoming.
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Author Biography - Richard Beals
Richard Beals is James E. English Professor of Mathematics at Yale University. He has also served as Professor at the University of Chicago and visiting Professor at the University of Paris, Orsay. He is the author of over 100 research papers and monographs in partial differential equations, differential equations, functional analysis, inverse problems, mathematical physics, mathematical psychology and mathematical economics.
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