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Sets and Transfinite Algebra
Brief Description
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...
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See moreThis two-part text introduces set theory and transfinite algebra, emphasizing the axiom of choice and its applications. Self-contained chapters provide unique insight into rarely treated topics, and with more than 140 solved exercises, it will be valuable to advanced undergraduates, graduate students, and lecturers alike.
A two-part exploration of set theory and transfinite algebra, emphasizing the axiom of choice and its applications.
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Description
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.
Series: London Mathematical Society Student Texts
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Sets and Transfinite Algebra
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...Paperback$12500Unit price /UnavailableAvailableShips in 2-3 weeks -
Sets and Transfinite Algebra
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...Hardback$34300Unit price /UnavailableAvailableShips in 2-3 weeks
Book Details
INFORMATION
ISBN: 9781009737876
Publisher: Cambridge University Press
Format: Paperback / softback
Date Published: 09 April 2026
Country: United Kingdom
Imprint: Cambridge University Press
Illustration: Worked examples or Exercises
Audience: General / adult, Tertiary education
DIMENSIONS
Weight: 323g
Pages: 218
About the Author
Thomas Müller, formerly of Queen Mary & Westfield College (London), is affiliated with the University of Vienna as a Professorial Research Fellow in the Department of Mathematics. His main research interests are in the areas of algebra, combinatorics, and geometry. He is the co-author of 'A Universal Construction for Groups Acting Freely on Real Trees' (2012).
Also by Thomas Müller
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Sets and Transfinite Algebra
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...Hardback$34300Unit price /UnavailableAvailableShips in 2-3 weeks
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