Basic Set Theory (Dover Books on Mathematics) - Softcover
Book 107 of 302: Dover Books on Mathematics
Synopsis
Geared toward upper-level undergraduate and graduate students, this text consists of two parts: the first covers pure set theory, and the second deals with applications and advanced topics (point set topology, real spaces, Boolean algebras, infinite combinatorics and large cardinals). Useful appendix; numerous exercises. 1979 edition. Includes 20 figures.
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Synopsis
This advanced mathematics textbook introduces the theorems and proofs of cardinal numbers, the ordinals, the axiom of choice, the space of real numbers, Boolean algebras, trees, and partitions. Originally published by Springer Verlag in 1979, this reprint adds an appendix of corrections. Annotation c. Book News, Inc., Portland, OR (booknews.com).
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Paperback. Condition: new. Paperback. Geared toward upper-level undergraduate and graduate students, this text consists of two parts: the first covers pure set theory, and the second deals with applications and advanced topics (point set topology, real spaces, Boolean algebras, infinite combinatorics and large cardinals). Useful appendix; numerous exercises. 1979 edition. Includes 20 figures. Although this book deals with basic set theory (in general, it stops short of areas where model-theoretic methods are used) on a rather advanced level, it does it at an unhurried pace. This enables the author to pay close attention to interesting and important aspects of the topic that might otherwise be skipped over. Written for upper-level undergraduate and graduate students, the book is divided into two parts. The first covers pure set theory, including the basic notions, order and well-foundedness, cardinal numbers, the ordinals, and the axiom of choice and some of its consequences. The second part deals with applications and advanced topics, among them a review of point set topology, the real spaces, Boolean algebras, and infinite combinatorics and large cardinals. A helpful appendix deals with eliminability and conservation theorems, while numerous exercises supply additional information on the subject matter and help students test their grasp of the material. Slightly revised republication of the edition published by Springer-Verlag, Berlin and New York, 1979. New preface. Introduction. Appendix. Bibliography. Index of Notation. Index. 20 figures. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780486420790
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