Set Theory and Logic (Dover Books on Mathematics)

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9780486638294: Set Theory and Logic (Dover Books on Mathematics)

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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Robert R. Stoll
Editore: Dover Publications Inc., United States (1980)
ISBN 10: 0486638294 ISBN 13: 9780486638294
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Descrizione libro Dover Publications Inc., United States, 1980. Paperback. Condizione libro: 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 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. Codice libro della libreria AA99780486638294

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Descrizione libro 1979. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria V0-9780486638294

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Robert R. Stoll
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Descrizione libro Dover Publications Inc., United States, 1980. Paperback. Condizione libro: 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 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. Codice libro della libreria AA99780486638294

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Descrizione libro Dover Publishers. Condizione libro: New. Brand New. Codice libro della libreria 0486638294

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Descrizione libro 1979. PAP. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780486638294

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Mathematics, Stoll, Robert R.
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Descrizione libro Dover Publications, 1979. Paperback. Condizione libro: New. Codice libro della libreria mon0000173180

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Stoll, Robert R.; Mathematics
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Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486638294 *BRAND NEW* Ships Same Day or Next!. Codice libro della libreria NATARAJB1FI1000749

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Robert R. Stoll
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Descrizione libro Dover Publications Inc., United States, 1980. Paperback. Condizione libro: New. New edition. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. 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 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. Codice libro della libreria BTE9780486638294

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Stoll, Robert R., Mathematics
Editore: Dover Publications (1979)
ISBN 10: 0486638294 ISBN 13: 9780486638294
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Descrizione libro Dover Publications, 1979. Condizione libro: New. Series: Dover Books on Mathematics. Num Pages: 496 pages, Illustrations. BIC Classification: PBCH. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 207 x 155 x 25. Weight in Grams: 536. . 1979. Reprint. Paperback. . . . . . Codice libro della libreria V9780486638294

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Stoll, Robert R.
Editore: Dover Publications (1979)
ISBN 10: 0486638294 ISBN 13: 9780486638294
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Descrizione libro Dover Publications, 1979. Paperback. Condizione libro: New. Codice libro della libreria 0486638294

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