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Logical Number Theory I - Craig Smorynski
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Craig Smorynski:

Logical Number Theory I - Paperback

1991, ISBN: 3540522360

[EAN: 9783540522362], Neubuch, [PU: Springer Berlin Heidelberg Apr 1991], LOGIK; PHILOSOPHIE / ZAHLENTHEORIE; MATHEMATICALLOGIC; NUMBERTHEORY; PROOF; DIOPHANTINEEQUATIONS; DIOPHANTISCHEGL… More...

NEW BOOK. Shipping costs:Versandkostenfrei. (EUR 0.00) BuchWeltWeit Inh. Ludwig Meier e.K., Bergisch Gladbach, Germany [57449362] [Rating: 5 (von 5)]
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Logical Number Theory I : An Introduction by C. Smorynski - C. Smorynski
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C. Smorynski:

Logical Number Theory I : An Introduction by C. Smorynski - used book

ISBN: 9783540522362

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 undergra… More...

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Logical Number Theory I
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Logical Number Theory I - new book

ISBN: 9783540522362

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 undergra… More...

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Logical Number Theory I An Introduction Softcover reprint of the original 1st ed. 1991 - Smorynski, Craig
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Smorynski, Craig:
Logical Number Theory I An Introduction Softcover reprint of the original 1st ed. 1991 - Paperback

1991, ISBN: 9783540522362

Softcover reprint of the original 1st ed. 1991 Gepflegter, sauberer Zustand. 797939/2 Versandkostenfreie Lieferung computability theory,number theory,Recursion Theory,proof,Diophantine eq… More...

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Logical Number Theory I An Introduction - Smorynski, Craig
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Smorynski, Craig:
Logical Number Theory I An Introduction - Paperback

1991, ISBN: 9783540522362

[PU: Springer Berlin], Gepflegter, sauberer Zustand. 797939/2, DE, [SC: 0.00], gebraucht; sehr gut, gewerbliches Angebot, Softcover reprint of the original 1st ed. 1991, Banküberweisung, … More...

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Details of the book
Logical Number Theory I
Author:
Title:
ISBN:

9783540522362


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.

Details of the book - Logical Number Theory I


EAN (ISBN-13): 9783540522362
ISBN (ISBN-10): 3540522360
Hardcover
Paperback
Publishing year: 1991
Publisher: Springer Berlin
Weight: 0,713 kg
Language: Englisch

Book in our database since 2007-03-21T08:16:23-04:00 (New York)
Detail page last modified on 2024-03-29T18:33:04-04:00 (New York)
ISBN/EAN: 9783540522362

ISBN - alternate spelling:
3-540-52236-0, 978-3-540-52236-2
Alternate spelling and related search-keywords:
Book author: smorynski craig
Book title: logical number theory, introduction theory numbers

Information from Publisher

Author: Craig Smorynski
Title: Universitext; Logical Number Theory I - An Introduction
Publisher: Springer; Springer Berlin
405 Pages
Publishing year: 1991-04-25
Berlin; Heidelberg; DE
Language: English
85,59 € (DE)
87,99 € (AT)
94,50 CHF (CH)
Available
X, 405 p. 2 illus.

BC; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Zahlentheorie; Verstehen; Diophantine equations; Diophantische Gleichung; Incompleteness; Recursion Theory; Rekursionstheorie; Undecidability; Unentscheidbarkeit; Unvollständigkeit; computability theory; mathematical logic; number theory; proof; Number Theory; Mathematical Logic and Foundations; Mathematik: Logik; Mathematische Grundlagen; EA

I. Arithmetic Encoding.- 1. Polynomials.- 2. Sums of Powers.- 3. The Cantor Pairing function.- 4. The Fueter-Pólya Theorem, I.- *5. The Fueter-Pólya Theorem, II.- 6. The Chinese Remainder Theorem.- 7. The ?-Function and Other Encoding Schemes.- 8. Primitive Recursion.- *9. Ackermann Functions.- 10. Arithmetic Relations.- 11. Computability.- 12. Elementary Recursion Theory.- 13. The Arithmetic Hierarchy.- 14. Reading List.- II. Diophantine Encoding.- 1. Diophantine Equations; Some Background.- 2. Initial Results; The Davis-Putnam-Robinson Theorem.- 3. The Pell Equation, I.- 4. The Pell Equation, II.- 5. The Diophantine Nature of R.E. Relations.- 6. Applications.- 7. Forms.- *8. Binomial Coëfficients.- *9. A Direct Proof of the Davis-Putnam-Robinson Theorem.- *10. The 3-Variable Exponential Diophantine Result.- 11. Reading List.- III. Weak Formal Theories of Arithmetic.- 1. Ignorabimus?.- 2. Formal Language and Logic.- 3. The Completeness Theorem.- 4. Presburger-Skolem Arithmetic; The Theory of Addition.- *5. Skolem Arithmetic; The Theory of Multiplication.- 6. Theories with + and ?; Incompleteness and Undecidability.- 7. Semi-Repiesentability of Functions.- 8. Further Undecidability Results.- 9. Reading List.- Index of Names.- Index of Subjects.

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