Logic

Sets and Transfinite Algebra

Name: Sets and Transfinite Algebra
Brand: Cambridge University Press
SKU: 9781009737876
Price: 4683.00 INR
Availability: InStock
ISBN: 9781009737876

Contributor(s): Muller, Thomas Author Format: Paperback

Paperback · ISBN 9781009737876

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Key Specifications

ISBN	9781009737876
Publisher	Cambridge University Press
Publication date	March 2026
Language	English
MRP	£33.00 GBP
Page count	218
Item weight	66 g

This two-part book offers a rigorous yet accessible exploration of set theory and transfinite algebra, with a particular emphasis on the axiom of choice and its applications. Part I presents an informal axiomatic introduction to the foundations of set theory, including a detailed treatment of the axiom of choice and its equivalents, suitable for advanced undergraduates. Part II, aimed at graduate students and professional mathematicians, treats selected topics in transfinite algebra where the axiom of choice, in one form or another, is useful or even indispensable. The text features self-contained chapters for flexible use, and includes material rarely found in the literature, such as Tarski's work on complete lattices, Hamel's solution to Cauchy's functional equation, and Artin's resolution of Hilbert's 17th problem. Over 140 exercises, with full solutions provided in the Appendix, support active engagement and deeper understanding, making this a valuable resource for both independent study and course preparation.

Sets and Transfinite Algebra

Key Specifications

Muller, Thomas Author

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