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"The best introductory text we have seen." ― Cosmos. Lucidly and gradually explains sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories. Its clarity makes this book excellent for self-study.
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Book Description Dover Publications Inc., United States, 1979. Paperback. Condition: New. New edition. Language: English. Brand new Book. 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 NumbersLogic -- the Statement and Predicate Calculus, etc.Informal Axiomatic MathematicsBoolean 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. Seller Inventory # AA99780486638294
Book Description Dover Publications, 1979. Paperback. Condition: BRAND NEW. Seller Inventory # 0486638294_abe_bn
Book Description Paperback. Condition: New. New edition. Paperback. The best introductory text we have seen. - Cosmos. Lucidly and gradually explains sets and relations, the natural number sequence and its generalization, extension of natural numbers to re.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 512 pages. 0.567. Seller Inventory # 9780486638294
Book Description Dover Publications, 1979. Paperback. Condition: New. Edition Unstated. Seller Inventory # DADAX0486638294
Book Description Condition: New. . Seller Inventory # 532ZZZ00HXRR_ns
Book Description Dover Publications Inc., 2003. PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # H8-9780486638294
Book Description Condition: New. . Seller Inventory # 52ZZZZ00HXHM_ns
Book Description Dover Publications Inc. Paperback / softback. Condition: New. New copy - Usually dispatched within 4 working days. Seller Inventory # B9780486638294
Book Description Condition: New. . Seller Inventory # 535ZZZ00HY8F_ns
Book Description Condition: New. . Seller Inventory # 536ZZZ00JQV8_ns