0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Mathematical foundations

Buy Now

Metamathematics of First-Order Arithmetic (Paperback, Softcover reprint of the original 1st ed. 1993) Loot Price: R3,852
Discovery Miles 38 520
Metamathematics of First-Order Arithmetic (Paperback, Softcover reprint of the original 1st ed. 1993): Petr Hajek, Pavel Pudlak

Metamathematics of First-Order Arithmetic (Paperback, Softcover reprint of the original 1st ed. 1993)

Petr Hajek, Pavel Pudlak

Series: Perspectives in Mathematical Logic

 (sign in to rate)
Loot Price R3,852 Discovery Miles 38 520 | Repayment Terms: R361 pm x 12*

Bookmark and Share

Expected to ship within 10 - 15 working days

People have always been interested in numbers, in particular the natural numbers. Of course, we all have an intuitive notion of what these numbers are. In the late 19th century mathematicians, such as Grassmann, Frege and Dedekind, gave definitions for these familiar objects. Since then the development of axiomatic schemes for arithmetic have played a fundamental role in a logical understanding of mathematics. There has been a need for some time for a monograph on the metamathematics of first-order arithmetic. The aim of the book by Hajek and Pudlak is to cover some of the most important results in the study of a first order theory of the natural numbers, called Peano arithmetic and its fragments (subtheories). The field is quite active, but only a small part of the results has been covered in monographs. This book is divided into three parts. In Part A, the authors develop parts of mathematics and logic in various fragments. Part B is devoted to incompleteness. Part C studies systems that have the induction schema restricted to bounded formulas (Bounded Arithmetic). One highlight of this section is the relation of provability to computational complexity. The study of formal systems for arithmetic is a prerequisite for understanding results such as Godel's theorems. This book is intended for those who want to learn more about such systems and who want to follow current research in the field. The book contains a bibliography of approximately 1000 items."

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Perspectives in Mathematical Logic
Release date: March 1998
First published: March 1998
Authors: Petr Hajek • Pavel Pudlak
Dimensions: 235 x 155 x 28mm (L x W x T)
Format: Paperback
Pages: 460
Edition: Softcover reprint of the original 1st ed. 1993
ISBN-13: 978-3-540-63648-9
Categories: Books > Science & Mathematics > Mathematics > Mathematical foundations > General
Promotions
LSN: 3-540-63648-X
Barcode: 9783540636489

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Principia Mathematica
Russell Bertrand Russell Hardcover R1,316 Discovery Miles 13 160
Principia Mathematica
Russell Bertrand Russell Hardcover R1,358 Discovery Miles 13 580
Goedel's Disjunction - The scope and…
Leon Horsten, Philip Welch Hardcover R4,557 Discovery Miles 45 570
The Yablo Paradox - An Essay on…
Roy T. Cook Hardcover R2,867 Discovery Miles 28 670
Foundations without Foundationalism - A…
Stewart Shapiro Hardcover R5,547 Discovery Miles 55 470
Michael Atiyah Collected works - Volume…
Michael Atiyah Hardcover R11,222 Discovery Miles 112 220
Michael Atiyah Collected Works - Volume…
Michael Atiyah Hardcover R9,602 Discovery Miles 96 020
Primary Maths for Scotland Textbook 2A…
Craig Lowther, Antoinette Irwin, … Paperback R389 R328 Discovery Miles 3 280
bundle available
Primary Maths for Scotland Textbook 1C…
Craig Lowther, Antoinette Irwin, … Paperback R326 R276 Discovery Miles 2 760
bundle available
The Maths That Made Us - how numbers…
Michael Brooks Paperback R315 R281 Discovery Miles 2 810
Elements of Geometry Upon the Inductive…
James Hayward Paperback R498 Discovery Miles 4 980
bundle available
Elementary Lessons in Logic - Deductive…
William Stanley Jevons Paperback R610 Discovery Miles 6 100
bundle available

See more

Partners