Number Theory And Mathematical Logic
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Number Theory And Mathematical Logic
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Author :
language : en
Publisher:
Release Date : 2002
Number Theory And Mathematical Logic written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
Number Theory And Mathematical Logic
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Author : Open University Course Team
language : en
Publisher:
Release Date : 2004-01
Number Theory And Mathematical Logic written by Open University Course Team and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01 with Logic, Symbolic and mathematical categories.
In this unit we complete the description of the formal system started in units ML04 and ML05, and use the system to produce more complex formal proofs. We then discuss how to use it as a framework for proving theorems of number theory.
Algebra Mathematical Logic Number Theory Topology
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Author : Ivan Matveevich Vinogradov
language : en
Publisher: American Mathematical Soc.
Release Date : 1986
Algebra Mathematical Logic Number Theory Topology written by Ivan Matveevich Vinogradov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Algebra categories.
Collection of papers on the current research in algebra, mathematical logic, number theory and topology.
Number Theory And Mathematical Logic
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FREE 30 Days
Author : Open University Course Team
language : en
Publisher:
Release Date : 2004-01
Number Theory And Mathematical Logic written by Open University Course Team and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01 with Logic, Symbolic and mathematical categories.
In this unit we look at some theorems of a small but deeply significant fragment of number theory, called Q. We introduce the notion of a function being representable in a formal system. We shall discover that, although Q is quite a weak theory, it is sufficiently powerful to allow all total recursive functions (as discussed in unit ML03) to be representable in Q. This unit concludes with a discussion of diagonalization and Gödel's Diagonal Lemma.
Set Theory And Foundations Of Mathematics An Introduction To Mathematical Logic Volume I Set Theory
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Author : Douglas Cenzer
language : en
Publisher: World Scientific
Release Date : 2020-04-04
Set Theory And Foundations Of Mathematics An Introduction To Mathematical Logic Volume I Set Theory written by Douglas Cenzer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-04 with Mathematics categories.
This book provides an introduction to axiomatic set theory and descriptive set theory. It is written for the upper level undergraduate or beginning graduate students to help them prepare for advanced study in set theory and mathematical logic as well as other areas of mathematics, such as analysis, topology, and algebra.The book is designed as a flexible and accessible text for a one-semester introductory course in set theory, where the existing alternatives may be more demanding or specialized. Readers will learn the universally accepted basis of the field, with several popular topics added as an option. Pointers to more advanced study are scattered throughout the text.
Problems In Set Theory Mathematical Logic And The Theory Of Algorithms
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Author : Igor Lavrov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Problems In Set Theory Mathematical Logic And The Theory Of Algorithms written by Igor Lavrov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Problems in Set Theory, Mathematical Logic and the Theory of Algorithms by I. Lavrov & L. Maksimova is an English translation of the fourth edition of the most popular student problem book in mathematical logic in Russian. It covers major classical topics in proof theory and the semantics of propositional and predicate logic as well as set theory and computation theory. Each chapter begins with 1-2 pages of terminology and definitions that make the book self-contained. Solutions are provided. The book is likely to become an essential part of curricula in logic.
Mathematics Of The 19th Century
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Author : KOLMOGOROV
language : en
Publisher: Birkhäuser
Release Date : 2013-11-11
Mathematics Of The 19th Century written by KOLMOGOROV and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
This multi-authored effort, Mathematics of the nineteenth century (to be fol lowed by Mathematics of the twentieth century), is a sequel to the History of mathematics fram antiquity to the early nineteenth century, published in three 1 volumes from 1970 to 1972. For reasons explained below, our discussion of twentieth-century mathematics ends with the 1930s. Our general objectives are identical with those stated in the preface to the three-volume edition, i. e. , we consider the development of mathematics not simply as the process of perfecting concepts and techniques for studying real-world spatial forms and quantitative relationships but as a social process as weIl. Mathematical structures, once established, are capable of a certain degree of autonomous development. In the final analysis, however, such immanent mathematical evolution is conditioned by practical activity and is either self-directed or, as is most often the case, is determined by the needs of society. Proceeding from this premise, we intend, first, to unravel the forces that shape mathe matical progress. We examine the interaction of mathematics with the social structure, technology, the natural sciences, and philosophy. Throughan anal ysis of mathematical history proper, we hope to delineate the relationships among the various mathematical disciplines and to evaluate mathematical achievements in the light of the current state and future prospects of the science. The difficulties confronting us considerably exceeded those encountered in preparing the three-volume edition.
Logical Number Theory I
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Author : Craig Smorynski
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Logical Number Theory I written by Craig Smorynski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Number theory as studied by the logician is the subject matter of the book. This first volume can stand on its own as a somewhat unorthodox introduction to mathematical logic for undergraduates, dealing with the usual introductory material: recursion theory, first-order logic, completeness, incompleteness, and undecidability. In addition, its second chapter contains the most complete logical discussion of Diophantine Decision Problems available anywhere, taking the reader right up to the frontiers of research (yet remaining accessible to the undergraduate). The first and third chapters also offer greater depth and breadth in logico-arithmetical matters than can be found in existing logic texts. Each chapter contains numerous exercises, historical and other comments aimed at developing the student's perspective on the subject, and a partially annotated bibliography.
Introduction To Mathematical Logic Fourth Edition
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Author : Elliott Mendelson
language : en
Publisher: CRC Press
Release Date : 1997-06-01
Introduction To Mathematical Logic Fourth Edition written by Elliott Mendelson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-06-01 with Mathematics categories.
The Fourth Edition of this long-established text retains all the key features of the previous editions, covering the basic topics of a solid first course in mathematical logic. This edition includes an extensive appendix on second-order logic, a section on set theory with urlements, and a section on the logic that results when we allow models with empty domains. The text contains numerous exercises and an appendix furnishes answers to many of them. Introduction to Mathematical Logic includes: propositional logic first-order logic first-order number theory and the incompleteness and undecidability theorems of Gödel, Rosser, Church, and Tarski axiomatic set theory theory of computability The study of mathematical logic, axiomatic set theory, and computability theory provides an understanding of the fundamental assumptions and proof techniques that form basis of mathematics. Logic and computability theory have also become indispensable tools in theoretical computer science, including artificial intelligence. Introduction to Mathematical Logic covers these topics in a clear, reader-friendly style that will be valued by anyone working in computer science as well as lecturers and researchers in mathematics, philosophy, and related fields.
Formal Number Theory And Computability
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Author : Alec Fisher
language : en
Publisher: Oxford University Press, USA
Release Date : 1982
Formal Number Theory And Computability written by Alec Fisher and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.