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Book by Srivastava Shashi Mohan
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"In this work, which provides an introduction to mathematical logic, Srivastava ... indicates that his main goal is to ‘state and prove Gödel’s completeness and incompleteness theorems in precise mathematical terms.’ ... the author presents the material in a clear fashion, with consistent and understandable notation. The book includes a number of exercises for the student to attempt and examples from a variety of areas in mathematics for the student to review. ... Summing Up: Recommended. Advanced upper-division undergraduates, graduate students, faculty." (S. L. Sullivan, Choice, Vol. 46 (4), December, 2008)
"This is an introductory textbook on modern mathematical logic, aimed at upper-level undergraduates. ... The book is well-equipped with examples ... ." (Allen Stenger, MathDL, July, 2008)
"The main goal of this book is to give a motivated introduction to mathematical logic for graduated and advanced undergraduate students of logic, set theory, recursion theory and computer science. Its intended audience includes also all mathematicians who are interested in knowing what mathematical logic is dealing with. ... All results included in the book are very carefully selected and proved. The author’s manner of writing is excellent, which will surely make this book useful to many categories of readers." (Marius Tarnauceanu, Zentralblatt MATH, Vol. 1140, 2008)
From the reviews of the second edition:
“This very sophisticated work deals with what the author presents as proof of Gödel’s completeness and incompleteness theorems in precise mathematical terms. ... This rigorous book is appropriate for graduate students or very talented undergraduates.” (James Van Speybroeck, Computing Reviews, April, 2013)
This extensively revised new edition of the concise introductory text on mathematical logic retains its numerous exercises and applications, but now has a fresh chapter on model theory and new section on topics such as definability and quantifier eliminations.
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- VerlagSpringer
- Erscheinungsdatum2013
- ISBN 10 1461457459
- ISBN 13 9781461457459
- EinbandTapa blanda
- Auflage2
- Anzahl der Seiten212
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A Course on Mathematical Logic
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(2013)
ISBN 10: 1461457459
ISBN 13: 9781461457459
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Buchbeschreibung Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This is a short, modern, and motivated introduction to mathematical logic for upper undergraduate and beginning graduate students in mathematics and computer science. Any mathematician who is interested in getting acquainted with logic and would like to learn Gödel's incompleteness theorems should find this book particularly useful. The treatment is thoroughly mathematical and prepares students to branch out in several areas of mathematics related to foundations and computability, such as logic, axiomatic set theory, model theory, recursion theory, and computability. In this new edition, many small and large changes have been made throughout the text. The main purpose of this new edition is toprovide a healthy first introduction to model theory, which is a very important branch of logic. Topics in the new chapter include ultraproduct of models, elimination of quantifiers, types, applications of types to model theory, and applications to algebra, number theory and geometry. Some proofs, such as the proof of the very important completeness theorem, have been completely rewritten in a more clear and concise manner. The new edition also introduces new topics, such as the notion of elementary class of structures, elementary diagrams, partial elementary maps, homogeneous structures, definability, and many more. 212 pp. Englisch. Bestandsnummer des Verkäufers 9781461457459
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Buchbeschreibung Paperback / softback. Zustand: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days. Bestandsnummer des Verkäufers C9781461457459
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A Course on Mathematical Logic
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Springer New York
(2013)
ISBN 10: 1461457459
ISBN 13: 9781461457459
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Taschenbuch
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Buchbeschreibung Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This is a short, modern, and motivated introduction to mathematical logic for upper undergraduate and beginning graduate students in mathematics and computer science. Any mathematician who is interested in getting acquainted with logic and would like to learn Gödel's incompleteness theorems should find this book particularly useful. The treatment is thoroughly mathematical and prepares students to branch out in several areas of mathematics related to foundations and computability, such as logic, axiomatic set theory, model theory, recursion theory, and computability. In this new edition, many small and large changes have been made throughout the text. The main purpose of this new edition is toprovide a healthy first introduction to model theory, which is a very important branch of logic. Topics in the new chapter include ultraproduct of models, elimination of quantifiers, types, applications of types to model theory, and applications to algebra, number theory and geometry. Some proofs, such as the proof of the very important completeness theorem, have been completely rewritten in a more clear and concise manner. The new edition also introduces new topics, such as the notion of elementary class of structures, elementary diagrams, partial elementary maps, homogeneous structures, definability, and many more. Bestandsnummer des Verkäufers 9781461457459
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