Ebook Info
- Published: 2004
- Number of pages: 272 pages
- Format: PDF
- File Size: 2.30 MB
- Authors: Richard Beals
Description
This 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.
User’s Reviews
Reviews from Amazon users which were colected at the time this book was published on the website:
⭐This is a GREAT book by one of my most favorite mathematical authors! The next time I teach basic undergraduate analysis, I will use this book! My only regret is that he wastes time discussing Riemann’s theory of integration, before properly moving on to Lebesgue’s. Surely it would have been much more appropriate, and in the functional-analytic spirit that pervades this wonderful book, to dispense with the Riemannian theory and to follow the wise counsel of Bourbaki: Consider only “regulated” functions and their uniform limits!Greg Robel
⭐Just as advertised.
Keywords
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