Introduction to Mathematical Logic, Diana Schmidt; Hans Hermes
Автор: Herbert Enderton Название: A Mathematical Introduction to Logic, ISBN: 0122384520 ISBN-13(EAN): 9780122384523 Издательство: Elsevier Science Рейтинг: Цена: 13994.00 р. Наличие на складе: Поставка под заказ.
Описание: Presents material on computer science issues such as computational complexity and database queries, with coverage of introductory material such as sets. This book helps instructors with choices in how they use the textbook in courses, and reduced mathematical rigour to fit the needs of undergraduate students.
Автор: Mendelson Elliott Название: Introduction to Mathematical Logic ISBN: 1482237725 ISBN-13(EAN): 9781482237726 Издательство: Taylor&Francis Рейтинг: Цена: 8184.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The new edition of this classic textbook, Introduction to Mathematical Logic, Sixth Edition explores the principal topics of mathematical logic. It covers propositional logic, first-order logic, first-order number theory, axiomatic set theory, and the theory of computability. The text also discusses the major results of G del, Church, Kleene, Rosser, and Turing.
The sixth edition incorporates recent work on G del's second incompleteness theorem as well as restoring an appendix on consistency proofs for first-order arithmetic. This appendix last appeared in the first edition. It is offered in the new edition for historical considerations. The text also offers historical perspectives and many new exercises of varying difficulty, which motivate and lead students to an in-depth, practical understanding of the material.
Автор: Walicki Michal Название: Introduction to Mathematical Logic ISBN: 981471996X ISBN-13(EAN): 9789814719964 Издательство: World Scientific Publishing Рейтинг: Цена: 6336.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is a systematic and well-paced introduction to mathematical logic. Excellent as a course text, the book presupposes only elementary background and can be used also for self-study by more ambitious students.
Автор: Church, Alonzo Название: Introduction to mathematical logic ISBN: 0691029067 ISBN-13(EAN): 9780691029061 Издательство: Wiley Рейтинг: Цена: 12989.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Logic is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps of a proof. Alonzo Church`s contributions to number theory and theories of algorithms and computability laid the theoretical foundations of computer science. This book is a basic source for understanding formal logic.
Автор: Roberts Название: Introduction to Mathematical Proofs, Second Edition ISBN: 1482246872 ISBN-13(EAN): 9781482246872 Издательство: Taylor&Francis Рейтинг: Цена: 15312.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Introduction to Mathematical Proofs helps students develop the necessary skills to write clear, correct, and concise proofs.
Unlike similar textbooks, this one begins with logic since it is the underlying language of mathematics and the basis of reasoned arguments. The text then discusses deductive mathematical systems and the systems of natural numbers, integers, rational numbers, and real numbers.
It also covers elementary topics in set theory, explores various properties of relations and functions, and proves several theorems using induction. The final chapters introduce the concept of cardinalities of sets and the concepts and proofs of real analysis and group theory. In the appendix, the author includes some basic guidelines to follow when writing proofs.
This new edition includes more than 125 new exercises in sections titled More Challenging Exercises. Also, numerous examples illustrate in detail how to write proofs and show how to solve problems. These examples can serve as models for students to emulate when solving exercises.
Several biographical sketches and historical comments have been included to enrich and enliven the text. Written in a conversational style, yet maintaining the proper level of mathematical rigor, this accessible book teaches students to reason logically, read proofs critically, and write valid mathematical proofs. It prepares them to succeed in more advanced mathematics courses, such as abstract algebra and analysis.
Описание: This text makes a great supplement and provides a systematic approach for teaching undergraduate and graduate students how to read, understand, think about, and do proofs.
Автор: Walicki Michal Название: Introduction to Mathematical Logic ISBN: 9814343862 ISBN-13(EAN): 9789814343862 Издательство: World Scientific Publishing Цена: 9504.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is a systematic and well-paced introduction to mathematical logic. Excellent as a course text, the book presupposes only elementary background and can be used also for self-study by more ambitious students.Starting with the basics of set theory, induction and computability, it covers propositional and first-order logic -- their syntax, reasoning systems and semantics. Soundness and completeness results for Hilbert's and Gentzen's systems are presented, along with simple decidability arguments. The general applicability of various concepts and techniques is demonstrated by highlighting their consistent reuse in different contexts.Unlike in most comparable texts, presentation of syntactic reasoning systems precedes the semantic explanations. The simplicity of syntactic constructions and rules -- of a high, though often neglected, pedagogical value -- aids students in approaching more complex semantic issues. This order of presentation also brings forth the relative independence of syntax from the semantics, helping to appreciate the importance of the purely symbolic systems, like those underlying computers.An overview of the history of logic precedes the main text, while informal analogies precede introduction of most central concepts. These informal aspects are kept clearly apart from the technical ones. Together, they form a unique text which may be appreciated equally by lecturers and students occupied with mathematical precision, as well as those interested in the relations of logical formalisms to the problems of computability and the philosophy of logic.
Автор: Walicki Michal Название: Introduction to Mathematical Logic (Extended Edition) ISBN: 9814719951 ISBN-13(EAN): 9789814719957 Издательство: World Scientific Publishing Рейтинг: Цена: 11246.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is a systematic and well-paced introduction to mathematical logic. Excellent as a course text, the book presupposes only elementary background and can be used also for self-study by more ambitious students.
Автор: Elliot Mendelsohn Название: Introduction to Mathematical Logic ISBN: 1461572908 ISBN-13(EAN): 9781461572909 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Recursion theory is gone into a little more deeply, including the s-m-n theorem, the recursion theorem, and Rice`s Theorem. (3) In Chapter 2, Quantification Theory, Henkin`s proof of the completeness theorem has been postponed until the reader has gained more experience in proof techniques.
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