The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background ...
The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. This text is part of the Walter Rudin Student Series in Advanced Mathematics.
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Oct 11, 2007
all you need
this book is thorough, and covers everything. it is terse, but because Rudin is trying to bring out the most salient points, not confuse you with trivial steps. This way he makes it clear what is interesting. At each point in his proofs, you should follow his logic and you'll see that he does make the right blend of instruction and hand-holding. Definitely showing that math is a do, not a see activity. He is also comprehensive and doesn't leave much out.
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