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Theorems and Counterexamples in Mathematics (Problem Books in Mathematics)
Theorems and Counterexamples in Mathematics - Problem Books in Mathematics Author:Bernard R. Gelbaum, John M.H. Olmsted 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 subje... more »ct 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.« less