Theorems and Counterexamples in Mathematics

This text is intended to provide graduate and advanced undergraduate students as well as the general mathematical public with a modern treatment of various theorems and examples in mathematics. A carefully arranged mixture of theorems, examples, exercises, hints and discussions sharpens and highlights many of the fundamental aspects of the subject matter, and constitutes a rounding out and elaboration of the standard parts of algebra, analysis, geometry, logic, probability, set theory, and topology. Essentially self-contained, the book presents this material with a treatment sensitive to the progress mathematics has made in the last 25 years.Gelbaum, Bernard R. is the author of 'Theorems and Counterexamples in Mathematics', published 1990 under ISBN 9780387973425 and ISBN 0387973427.