Set Theory and Logic (Dover Books on Mathematics) - Softcover
Book 95 of 303: Dover Books on Mathematics
Synopsis
Set Theory and Logic is the result of a course of lectures for advanced undergraduates, developed at Oberlin College for the purpose of introducing students to the conceptual foundations of mathematics. Mathematics, specifically the real number system, is approached as a unity whose operations can be logically ordered through axioms. One of the most complex and essential of modern mathematical innovations, the theory of sets (crucial to quantum mechanics and other sciences), is introduced in a most careful concept manner, aiming for the maximum in clarity and stimulation for further study in set logic.
Contents include: Sets and Relations — Cantor's concept of a set, etc.
Natural Number Sequence — Zorn's Lemma, etc.
Extension of Natural Numbers to Real Numbers
Logic — the Statement and Predicate Calculus, etc.
Informal Axiomatic Mathematics
Boolean AlgebraInformal Axiomatic Set TheorySeveral Algebraic Theories — Rings, Integral Domains, Fields, etc.
First-Order Theories — Metamathematics, etc.
Symbolic logic does not figure significantly until the final chapter. The main theme of the book is mathematics as a system seen through the elaboration of real numbers; set theory and logic are seen s efficient tools in constructing axioms necessary to the system.
Mathematics students at the undergraduate level, and those who seek a rigorous but not unnecessarily technical introduction to mathematical concepts, will welcome the return to print of this most lucid work.
"Professor Stoll . . . has given us one of the best introductory texts we have seen." — Cosmos.
"In the reviewer's opinion, this is an excellent book, and in addition to its use as a textbook (it contains a wealth of exercises and examples) can be recommended to all who wish an introduction to mathematical logic less technical than standard treatises (to which it can also serve as preliminary reading)." — Mathematical Reviews.
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Set Theory and Logic (Dover Books on Mathematics)
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Dover Publications (edition Revised ed.), 1979
ISBN 10: 0486638294
ISBN 13: 9780486638294
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Set Theory and Logic (Dover Books on Mathematics)
Published by
Dover Publications (edition Revised ed.), 1979
ISBN 10: 0486638294
ISBN 13: 9780486638294
Used
Paperback
Seller: BooksRun, Philadelphia, PA, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: Very Good. Revised ed. It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting. Seller Inventory # 0486638294-8-1
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Set Theory and Logic
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Dover Publications, Incorporated, 1979
ISBN 10: 0486638294
ISBN 13: 9780486638294
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Set Theory and Logic
Published by
Dover Publications, Incorporated, 1979
ISBN 10: 0486638294
ISBN 13: 9780486638294
Used
Softcover
Seller: Better World Books, Mishawaka, IN, U.S.A.
Seller rating 5 out of 5 stars
Condition: Very Good. Pages intact with possible writing/highlighting. Binding strong with minor wear. Dust jackets/supplements may not be included. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Seller Inventory # 5271050-6