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  • 1-10 of 12412 Results       Next
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    Mathematical Logic,
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    A Beginner's Further
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    1. Mathematical Logic, 2nd Edition (Undergraduate Texts in Mathematics)
    by H.-D. Ebbinghaus, J. Flum, Wolfgang Thomas
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    US$79.95Springer1291719291236301BookABIS_BOOK1996-11-15SpringerSpringerMathematical Logic, 2nd Edition (Undergraduate Texts in Mathematics)885USD$8.85
    US$21.30
    US$58.65 (73%)
    Category: Hardcover (1996-11-15)
    Publisher: Springer
    ISBN: 0387942580
    Sales Rank: 931303
    Lowest New Price: $21.30
    Lowest Used Price: $37.00 (21 Used Items)
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    This introduction to first-order logic clearly works out the role of first-order logic in the foundations of mathematics, particularly the two basic questions of the range of the axiomatic method and of theorem-proving by machines. It covers several advanced topics not commonly treated in introductory texts, such as Fraïssé's characterization of elementary equivalence, Lindström's theorem on the maximality of first-order logic, and the fundamentals of logic programming.

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    3. A Mathematical Introduction to Logic, Second Edition
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    6. Algebra (Graduate Texts in Mathematics)
    7. Algebra: Chapter 0 (Graduate Studies in Mathematics)
    8. Set Theory (Studies in Logic: Mathematical Logic and Foundations)
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    10. A Comprehensive Introduction to Differential Geometry, Vol. 1, 3rd Edition .


    2. A Beginner's Further Guide to Mathematical Logic
    by Raymond M. Smullyan
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    US$24.00
    Category: Paperback (2016-03-29)
    Publisher: World Scientific Publishing Company
    ISBN: 9814725722
    Sales Rank: 365634
    Lowest New Price: $21.77
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    This book is a sequel to my Beginner's Guide to Mathematical Logic.The previous volume deals with elements of propositional and first-order logic, contains a bit on formal systems and recursion, and concludes with chapters on Gödel's famous incompleteness theorem, along with related results.The present volume begins with a bit more on propositional and first-order logic, followed by what I would call a "fein" chapter, which simultaneously generalizes some results from recursion theory, first-order arithmetic systems, and what I dub a "decision machine." Then come five chapters on formal systems, recursion theory and metamathematical applications in a general setting. The concluding five chapters are on the beautiful subject of combinatory logic, which is not only intriguing in its own right, but has important applications to computer science. Argonne National Laboratory is especially involved in these applications, and I am proud to say that its members have found use for some of my results in combinatory logic.This book does not cover such important subjects as set theory, model theory, proof theory, and modern developments in recursion theory, but the reader, after studying this volume, will be amply prepared for the study of these more advanced topics.

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    1. A Beginner's Guide to Mathematical Logic (Dover Books on Mathematics)
    2. First-Order Logic (Dover Books on Mathematics)
    3. The Greatest Story Ever Told--So Far: Why Are We Here?
    4. Special Relativity: For the Enthusiastic Beginner
    5. TENSORS made easy with SOLVED PROBLEMS
    6. Category Theory in Context (Aurora: Dover Modern Math Originals)
    7. A Book of Set Theory (Dover Books on Mathematics)
    8. The Foundations of Mathematics (Studies in Logic: Mathematical Logic and Foundations)
    9. Set Theory (Studies in Logic: Mathematical Logic and Foundations)
    10. The Real Analysis Lifesaver: All the Tools You Need to Understand Proofs (Princeton Lifesaver Study Guides) .


    3. A Beginner's Guide to Mathematical Logic (Dover Books on Mathematics)
    by Raymond M. Smullyan
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    US$19.95Dover Publications128871913846141BookABIS_BOOK2014-07-16Dover Publications2014-06-18Dover PublicationsA Beginner's Guide to Mathematical Logic (Dover Books on Mathematics)345USD$3.45
    US$16.66
    US$3.29 (16%)
    Category: Paperback (2014-07-16)
    Publisher: Dover Publications
    ISBN: 0486492370
    Sales Rank: 262835
    Lowest New Price: $11.27
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    Written by a creative master of mathematical logic, this introductory text combines stories of great philosophers, quotations, and riddles with the fundamentals of mathematical logic. Author Raymond Smullyan offers clear, incremental presentations of difficult logic concepts. He highlights each subject with inventive explanations and unique problems.
    Smullyan's accessible narrative provides memorable examples of concepts related to proofs, propositional logic and first-order logic, incompleteness theorems, and incompleteness proofs. Additional topics include undecidability, combinatoric logic, and recursion theory. Suitable for undergraduate and graduate courses, this book will also amuse and enlighten mathematically minded readers. 2014 edition.

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    Similar Items:
    1. The Gödelian Puzzle Book: Puzzles, Paradoxes and Proofs
    2. What Is the Name of This Book?: The Riddle of Dracula and Other Logical Puzzles (Dover Recreational Math)
    3. The Lady or the Tiger?: and Other Logic Puzzles (Dover Recreational Math)
    4. First-Order Logic (Dover Books on Mathematics)
    5. Introduction to Logic: and to the Methodology of Deductive Sciences (Dover Books on Mathematics)
    6. Satan, Cantor and Infinity: Mind-Boggling Puzzles (Dover Recreational Math)
    7. Alice in Puzzle-Land: A Carrollian Tale for Children Under Eighty (Dover Recreational Math)
    8. A Beginner's Further Guide to Mathematical Logic
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    10. A Book of Set Theory (Dover Books on Mathematics) .


    4. My Best Mathematical and Logic Puzzles (Dover Recreational Math)
    by Martin Gardner
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    US$5.95
    US$4.95
    US$1 (17%)
    Category: Paperback Brand: Dover Publications
    (1994-11-01)
    Publisher: Dover Publications
    ISBN: 0486281523
    Sales Rank: 9371
    Lowest New Price: $2.98
    Lowest Used Price: $0.25 (90 Used Items)
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    Over a period of 25 years as author of the Mathematical Games column for Scientific American, Martin Gardner devoted a column every six months or so to short math problems or puzzles. He was especially careful to present new and unfamiliar puzzles that had not been included in such classic collections as those by Sam Loyd and Henry Dudeney. Later, these puzzles were published in book collections, incorporating reader feedback on alternate solutions or interesting generalizations.
    The present volume contains a rich selection of 70 of the best of these brain teasers, in some cases including references to new developments related to the puzzle. Now enthusiasts can challenge their solving skills and rattle their egos with such stimulating mind-benders as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, The Fork in the Road, Bronx vs. Brooklyn, Touching Cigarettes, and 64 other problems involving logic and basic math. Solutions are included.

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    10. 100 Math Brainteasers (Grade 7, 8, 9, 10). Arithmetic, Algebra and Geometry Brain Teasers, Puzzles, Games and Problems with Solutions: Math olympiad contest problems for elementary and middle schools .


    5. Mathematical Logic (Dover Books on Mathematics)
    by Stephen Cole Kleene
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    US$24.95Dover Publications143270830805301BookABIS_BOOK2002-12-18Dover Publications2002-12-18Dover PublicationsMathematical Logic (Dover Books on Mathematics)192USD$1.92
    US$21.66
    US$3.29 (13%)
    Category: Paperback Brand: Dover Publications
    (2002-12-18)
    Publisher: Dover Publications
    ISBN: 0486425339
    Sales Rank: 553958
    Lowest New Price: $14.04
    Lowest Used Price: $9.59 (28 Used Items)
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    Undergraduate students with no prior classroom instruction in mathematical logic will benefit from this evenhanded multipart text. It begins with an elementary but thorough overview of mathematical logic of first order. The treatment extends beyond a single method of formulating logic to offer instruction in a variety of techniques: model theory (truth tables), Hilbert-type proof theory, and proof theory handled through derived rules.
    The second part supplements the previously discussed material and introduces some of the newer ideas and the more profound results of twentieth-century logical research. Subsequent chapters explore the study of formal number theory, with surveys of the famous incompleteness and undecidability results of Godel, Church, Turing, and others. The emphasis in the final chapter reverts to logic, with examinations of Godel's completeness theorem, Gentzen's theorem, Skolem's paradox and nonstandard models of arithmetic, and other theorems. The author, Stephen Cole Kleene, was Cyrus C. MacDuffee Professor of Mathematics at the University of Wisconsin, Madison. Preface. Bibliography. Theorem and Lemma Numbers: Pages. List of Postulates. Symbols and Notations. Index.

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    10. A Book of Abstract Algebra: Second Edition (Dover Books on Mathematics) .


    6. Mathematical Logic (Oxford Texts in Logic)
    by Ian Chiswell, Wilfrid Hodges
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    US$71.00Oxford University Press1296599441146611BookABIS_BOOK2007-07-12Oxford University PressOxford University PressMathematical Logic (Oxford Texts in Logic)560USD$5.60
    US$71.00
    US$0 (0%)
    Category: Paperback Brand: Dover Publications
    (2007-07-12)
    Publisher: Oxford University Press
    ISBN: 0199215626
    Sales Rank: 1338980
    Lowest New Price: $66.78
    Lowest Used Price: $38.61 (10 Used Items)
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    Assuming no previous study in logic, this informal yet rigorous text covers the material of a standard undergraduate first course in mathematical logic, using natural deduction and leading up to the completeness theorem for first-order logic. At each stage of the text, the reader is given an intuition based on standard mathematical practice, which is subsequently developed with clean formal mathematics. Alongside the practical examples, readers learn what can and can't be calculated; for example the correctness of a derivation proving a given sequent can be tested mechanically, but there is no general mechanical test for the existence of a derivation proving the given sequent. The undecidability results are proved rigorously in an optional final chapter, assuming Matiyasevich's theorem characterising the computably enumerable relations. Rigorous proofs of the adequacy and completeness proofs of the relevant logics are provided, with careful attention to the languages involved. Optional sections discuss the classification of mathematical structures by first-order theories; the required theory of cardinality is developed from scratch. Throughout the book there are notes on historical aspects of the material, and connections with linguistics and computer science, and the discussion of syntax and semantics is influenced by modern linguistic approaches. Two basic themes in recent cognitive science studies of actual human reasoning are also introduced. Including extensive exercises and selected solutions, this text is ideal for students in logic, mathematics, philosophy, and computer science.

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    7. Mathematical Logic (Addison-Wesley Series in Logic)
    by Joseph R. Shoenfield
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    US$47.95A K Peters/CRC Press1356809201156501BookABIS_BOOK2001-02-09A K Peters/CRC Press2001-02-09A K Peters/CRC PressMathematical Logic (Addison-Wesley Series in Logic)819USD$8.19
    US$42.91
    US$5.04 (11%)
    Category: Paperback Brand: Dover Publications
    (2001-02-09)
    Publisher: A K Peters/CRC Press
    ISBN: 1568811357
    Sales Rank: 1139141
    Lowest New Price: $38.91
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    This classic introduction to the main areas of mathematical logic provides the basis for a first graduate course in the subject. It embodies the viewpoint that mathematical logic is not a collection of vaguely related results, but a coherent method of attacking some of the most interesting problems, which face the mathematician. The author presents the basic concepts in an unusually clear and accessible fashion, concentrating on what he views as the central topics of mathematical logic: proof theory, model theory, recursion theory, axiomatic number theory, and set theory. There are many exercises, and they provide the outline of what amounts to a second book that goes into all topics in more depth. This book has played a role in the education of many mature and accomplished researchers.

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    5. Real & Complex Analysis
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    8. An Introduction to Mathematical Logic (Dover Books on Mathematics)
    by Richard E. Hodel
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    US$29.95Dover Publications15121209201406101BookABIS_BOOK2013-02-20Dover Publications2013-01-24Dover PublicationsAn Introduction to Mathematical Logic (Dover Books on Mathematics)608USD$6.08
    US$20.39
    US$9.56 (32%)
    Category: Paperback Brand: Dover Publications
    (2013-02-20)
    Publisher: Dover Publications
    ISBN: 0486497852
    Sales Rank: 741225
    Lowest New Price: $16.39
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    Widely praised for its clarity and thorough coverage, this comprehensive overview of mathematical logic is suitable for readers of many different backgrounds. Designed primarily for advanced undergraduates and graduate students of mathematics, the treatment also contains much of interest to advanced students in computer science and philosophy.
    An introductory section prepares readers for successive chapters on propositional logic and first-order languages and logic. Subsequent chapters shift in emphasis from an approach to logic from a mathematical point of view to the interplay between mathematics and logic. Topics include the theorems of Gödel, Church, and Tarski on incompleteness, undecidability, and indefinability; a rigorous treatment of recursive functions and recursive relations; computability theory; and Hilbert's Tenth Problem. Numerous exercises appear throughout the text, and an appendix offers helpful background on number theory.

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    9. A Course in Mathematical Logic for Mathematicians (Graduate Texts in Mathematics)
    by Yu. I. Manin
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    US$69.95Springer13841209301556401BookABIS_BOOK2009-10-30SpringerSpringerA Course in Mathematical Logic for Mathematicians (Graduate Texts in Mathematics)1316USD$13.16
    US$55.96
    US$13.99 (20%)
    Category: Hardcover Brand: Dover Publications
    (2009-10-30)
    Publisher: Springer
    ISBN: 1441906142
    Sales Rank: 832046
    Lowest New Price: $50.55
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    1. The ?rst edition of this book was published in 1977. The text has been well received and is still used, although it has been out of print for some time. In the intervening three decades, a lot of interesting things have happened to mathematical logic: (i) Model theory has shown that insights acquired in the study of formal languages could be used fruitfully in solving old problems of conventional mathematics. (ii) Mathematics has been and is moving with growing acceleration from the set-theoretic language of structures to the language and intuition of (higher) categories, leaving behind old concerns about in?nities: a new view of foundations is now emerging. (iii) Computer science, a no-nonsense child of the abstract computability theory, has been creatively dealing with old challenges and providing new ones, such as the P/NP problem. Planning additional chapters for this second edition, I have decided to focus onmodeltheory,the conspicuousabsenceofwhichinthe ?rsteditionwasnoted in several reviews, and the theory of computation, including its categorical and quantum aspects. The whole Part IV: Model Theory, is new. I am very grateful to Boris I. Zilber, who kindly agreed to write it. It may be read directly after Chapter II. The contents of the ?rst edition are basically reproduced here as Chapters I–VIII. Section IV.7, on the cardinality of the continuum, is completed by Section IV.7.3, discussing H. Woodin’s discovery.

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    10. Mathematical Logic for Computer Science
    by Mordechai Ben-Ari
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    US$59.95Springer134682925142610BookABIS_BOOK2012-06-17Springer2012-06-17SpringerMathematical Logic for Computer Science410USD$4.10
    US$59.95
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    Category: Paperback Brand: Brand: Springer
    (2012-06-17)
    Publisher: Springer
    ISBN: 1447141288
    Sales Rank: 887083
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    Mathematical Logic for Computer Science is a mathematics textbook with theorems and proofs, but the choice of topics has been guided by the needs of students of computer science. The method of semantic tableaux provides an elegant way to teach logic that is both theoretically sound and easy to understand. The uniform use of tableaux-based techniques facilitates learning advanced logical systems based on what the student has learned from elementary systems.

    The logical systems presented are: propositional logic, first-order logic, resolution and its application to logic programming, Hoare logic for the verification of sequential programs, and linear temporal logic
    for the verification of concurrent programs.

    The third edition has been entirely rewritten and includes new chapters on central topics of modern computer science: SAT solvers and model checking.

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