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Principles Of Mathematical Analysis

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FAQ:

Q: What is Chapter 1 of principles of mathematical analysis?

A: Chapter 1 gives a detailed study of the real number field. Earlier editions used the direct construction of R via Dedekind cuts of rationals. In this edition, Rudin relegates the construction to an appendix, arguing that this construction is too difficult for beginning students.

Q: How many pages are in Rudin’s principles of mathematical analysis?

A: This concisely written chapter (only 23 pages!) is strategically placed to serve as a cornerstone for the rest of the book. Assuming only rudimentary knowledge of sets and functions, Rudin gives the reader just a taste of topology to enable subsequent discussions on continuity and convergence to proceed in a general and abstract setting.

Q: Which is the best text for mathematical analysis?

A: For the Brave and the Determined, learning analysis from Principles of Mathematical Analysis (PMA) is a sublimely rewarding experience. (Dilettantes keep away.) PMA, a.k.a. ‘Baby Rudin’, is an introductory text in analysis for the serious student of mathematics.

Q: Are there any old books on mathematical analysis?

A: There were the old British classics such as Hardy’s Pure Mathematics and Whittaker and Watson’s Course of Modern Analysis, but these were written in a late 19th century style that made no mention of topological concepts.

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