Counterexamples in Analysis
by Bernard R. Gelbaum |
Mathematical Analysis
by Tom M. Apostol |
Real and Complex Analysis
by Walter Rudin | 
What Is Mathematics? An Elementary Approach to Ideas and Methods
by Richard Courant |
The Mathematical Universe
by William Dunham | 
An Introduction to Mathematics
by Alfred North Whitehead | 
How to Cut a Cake
by Ian Stewart |
Calculus On Manifolds
by Michael Spivak | 
Letters to a Young Mathematician
by Ian Stewart |
Murderous Maths
by Kjartan Poskitt | 
Fractals, Googols, and Other Mathematical Tales
by Theoni Pappas |
Complex Analysis
by Lars V. Ahlfors | 
The Mathematical Tourist
by Ivars Peterson | 
Mathematics
by Timothy Gowers | 
The Grapes of Math
by Alex Bellos | 
An Introduction to the Theory of Numbers
by G. H. Hardy |
Math for Smarty Pants
by Marilyn Burns |
The Beauty of Fractals
by Heinz-Otto Peitgen | 
A Course of Pure Mathematics
by G. H. Hardy | 
Speed Mathematics
by Bill Handley |
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.