Models of Peano Arithmetic (Oxford Logic Guides)

5 valoración promedio
( 1 valoraciones por Goodreads )
 
9780198532132: Models of Peano Arithmetic (Oxford Logic Guides)
Ver todas las copias de esta edición ISBN.
 
 

Book by Kaye Richard

"Sinopsis" puede pertenecer a otra edición de este libro.

Críticas:

'"Models of Peano arithmetic" is a book that should have been written many years ago ... the subject has never had a standard introductory text ... For many technical reasons potential authors have found the task of writing such a text rather difficult, leaving this interesting area of research without the presentation it deserves. Kaye's book fills this gap in literature remarkably well. The presentation will certainly satisfy all who ever wondered what such a formula looks like.'R. Kossak, Zentralblatt für Mathematik und ihre Grenzgebiete Mathematics Abstracts

'It is carefully written and therefore recommended to anyone who wants to learn about this theorem.'A. Di Bucchianico, MWG, No. 4, April 1993

'Kaye's book has many obvious virtues. It covers a great number of topics which are of the utmost importance for metamathematics of PA. Thus, the book is an advanced monograph which offers a unified treatment of various aspects of the first-order PA ... the author has succeeded in producing a text which can also serve as a graduate textbook of metatheory of PA; the book is clearly written and contains several well-motivated exercises.'Jan Wole'nski, Jagiellonian University, Poland

'Its well-written presentaiton is aimed at a general (mathematical)audience.'P. Schmitt, Monatshefte fur Mathematik

Reseña del editor:

Nonstandard models of arithmetic are of interest to mathematicians through the presence of infinite (or nonstandard) integers and the various properties they inherit from the finite integers. Since their introduction in the 1930s (by Skolem and Gödel ), they have come to play an important role in model theory, and in combinatorics through independence results such as the Paris-Harrington theorem. This book is an introduction to these developments, and stresses the interplay between the first-order theory, recursion-theoretic aspects, and the structural properties of these models.

Prerequisites have been kept to a minimum. A basic grounding in elementary model theory and a familiarity with the notions of recursive, primitive recursive, and r.e. sets will be sufficient. Consequently, the book should be suitable for postgraduate students coming to the subject for the first time and a variety of exercises of varying degrees of difficulty will help to further the reader's understanding.

Beginning with Gödel's incompleteness theorem, the book covers the prime models, cofinal extensions, end extensions, Gaifman's construction of a definable type, Tennenbaum's theorem, Friedman's theorem and subsequent work on indicators, and culminates in a chapter on recursive saturation and resplendency.

"Sobre este título" puede pertenecer a otra edición de este libro.

Los mejores resultados en AbeBooks

1.

Kaye, Richard
Publicado por Oxford Univ Pr on Demand (1991)
ISBN 10: 019853213X ISBN 13: 9780198532132
Nuevo Cantidad disponible: 1
Librería
Paperbackshop-US
(Wood Dale, IL, Estados Unidos de America)
Valoración
[?]

Descripción Oxford Univ Pr on Demand, 1991. HRD. Condición: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. del artículo: VU-9780198532132

Más información sobre este vendedor | Contactar al vendedor

Comprar nuevo
EUR 140,80
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 3,26
A Estados Unidos de America
Destinos, gastos y plazos de envío

2.

Richard Kaye
ISBN 10: 019853213X ISBN 13: 9780198532132
Nuevo Cantidad disponible: 1
Librería
BennettBooksLtd
(San Diego, CA, Estados Unidos de America)
Valoración
[?]

Descripción Condición: New. New. Nº de ref. del artículo: S-019853213X

Más información sobre este vendedor | Contactar al vendedor

Comprar nuevo
EUR 169,78
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 4,05
A Estados Unidos de America
Destinos, gastos y plazos de envío

3.

Richard Kaye
Publicado por Oxford University Press, United Kingdom (1991)
ISBN 10: 019853213X ISBN 13: 9780198532132
Nuevo Tapa dura Cantidad disponible: 1
Librería
Book Depository hard to find
(London, Reino Unido)
Valoración
[?]

Descripción Oxford University Press, United Kingdom, 1991. Hardback. Condición: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. Nonstandard models of arithmetic are of interest to mathematicians through the presence of infinite (or nonstandard) integers and the various properties they inherit from the finite integers. Since their introduction in the 1930s (by Skolem and Godel ), they have come to play an important role in model theory, and in combinatorics through independence results such as the Paris-Harrington theorem. This book is an introduction to these developments, and stresses the interplay between the first-order theory, recursion-theoretic aspects, and the structural properties of these models. Prerequisites have been kept to a minimum. A basic grounding in elementary model theory and a familiarity with the notions of recursive, primitive recursive, and r.e. sets will be sufficient. Consequently, the book should be suitable for postgraduate students coming to the subject for the first time and a variety of exercises of varying degrees of difficulty will help to further the reader s understanding. Beginning with Godel s incompleteness theorem, the book covers the prime models, cofinal extensions, end extensions, Gaifman s construction of a definable type, Tennenbaum s theorem, Friedman s theorem and subsequent work on indicators, and culminates in a chapter on recursive saturation and resplendency. Nº de ref. del artículo: BTE9780198532132

Más información sobre este vendedor | Contactar al vendedor

Comprar nuevo
EUR 180,11
Convertir moneda

Añadir al carrito

Gastos de envío: GRATIS
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

4.

Kaye, Richard
Publicado por Oxford University Press, USA (1991)
ISBN 10: 019853213X ISBN 13: 9780198532132
Nuevo Tapa dura Cantidad disponible: 1
Librería
Ergodebooks
(RICHMOND, TX, Estados Unidos de America)
Valoración
[?]

Descripción Oxford University Press, USA, 1991. Hardcover. Condición: New. Nº de ref. del artículo: DADAX019853213X

Más información sobre este vendedor | Contactar al vendedor

Comprar nuevo
EUR 185,53
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 4,08
A Estados Unidos de America
Destinos, gastos y plazos de envío

5.

Kaye, Richard
Publicado por Clarendon Press (1991)
ISBN 10: 019853213X ISBN 13: 9780198532132
Nuevo Tapa dura Cantidad disponible: 2
Librería
Murray Media
(North Miami Beach, FL, Estados Unidos de America)
Valoración
[?]

Descripción Clarendon Press, 1991. Hardcover. Condición: New. Never used!. Nº de ref. del artículo: P11019853213X

Más información sobre este vendedor | Contactar al vendedor

Comprar nuevo
EUR 200,27
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 1,63
A Estados Unidos de America
Destinos, gastos y plazos de envío

6.

Richard Kaye
Publicado por Clarendon Pr (1991)
ISBN 10: 019853213X ISBN 13: 9780198532132
Nuevo Tapa dura Cantidad disponible: 1
Librería
Revaluation Books
(Exeter, Reino Unido)
Valoración
[?]

Descripción Clarendon Pr, 1991. Hardcover. Condición: Brand New. 10.00x6.75x1.00 inches. In Stock. Nº de ref. del artículo: __019853213X

Más información sobre este vendedor | Contactar al vendedor

Comprar nuevo
EUR 195,92
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 6,80
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

7.

Richard Kaye
ISBN 10: 019853213X ISBN 13: 9780198532132
Nuevo Tapa dura Cantidad disponible: 1
Librería
AussieBookSeller
(SILVERWATER, NSW, Australia)
Valoración
[?]

Descripción 1991. Hardcover. Condición: New. Hardcover. Nonstandard models of arithmetic are of interest to mathematicians through the presence of infinite (or nonstandard) integers and the various properties they inherit from the .Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. 302 pages. 0.606. Nº de ref. del artículo: 9780198532132

Más información sobre este vendedor | Contactar al vendedor

Comprar nuevo
EUR 210,43
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 30,27
De Australia a Estados Unidos de America
Destinos, gastos y plazos de envío

8.

Richard Kaye
Publicado por Clarendon Pr (1991)
ISBN 10: 019853213X ISBN 13: 9780198532132
Nuevo Tapa dura Cantidad disponible: 1
Librería
Revaluation Books
(Exeter, Reino Unido)
Valoración
[?]

Descripción Clarendon Pr, 1991. Hardcover. Condición: Brand New. 10.00x6.75x1.00 inches. In Stock. Nº de ref. del artículo: zr019853213X

Más información sobre este vendedor | Contactar al vendedor

Comprar nuevo
EUR 237,77
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 6,80
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

9.

Kaye, Richard
Publicado por Clarendon Press
ISBN 10: 019853213X ISBN 13: 9780198532132
Nuevo Tapa dura Cantidad disponible: 1
Librería
Cloud 9 Books
(Wellington, FL, Estados Unidos de America)
Valoración
[?]

Descripción Clarendon Press. Hardcover. Condición: New. 019853213X New Condition. Nº de ref. del artículo: NEW7.1809011

Más información sobre este vendedor | Contactar al vendedor

Comprar nuevo
EUR 263,36
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 4,08
A Estados Unidos de America
Destinos, gastos y plazos de envío