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- Local Warehouse Mathematics- Set Theory

Sets, Logic and Categories (Springer Undergraduate Mathematics Series)

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Synopses & Reviews

Publisher Comments:

Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Gödel's Theorem, and the Skolem Paradox. But they are also rich mathematical theories in their own right, contributing techniques and results to working mathematicians such as the Compactness Theorem and module categories. The book is aimed at those who know some mathematics and want to know more about its building blocks. Set theory is first treated naively an axiomatic treatment is given after the basics of first-order logic have been introduced. The discussion is su pported by a wide range of exercises. The final chapter touches on philosophical issues. The book is supported by a World Wibe Web site containing a variety of supplementary material.

Synopsis:

Sets, the toolbox for making mathematical models, logic, which tests conclusions, and category theory, the study of functions which preserve some structure on a set together provide the basis for computational science. This self-study guide to all three theories contains many examples.

Table of Contents

Naive Set Theory.- Ordinal Numbers.- Logic.- First-order Logic.- Model theory.- Axiomatic set theory categories.- References.

Product Details

ISBN:
9781852330569
Author:
Cameron, Peter J.
Publisher:
Springer
Author:
Cameron, P. J.
Location:
London ;
Subject:
Logic
Subject:
Logic, symbolic and mathematical
Subject:
Set Theory
Subject:
Categories (mathematics)
Subject:
Categories
Subject:
Mathematical Logic and Foundations
Subject:
Category Theory, Homological Algebra
Subject:
K-theory
Subject:
Mathematics : Set Theory
Subject:
Mathematics
Subject:
B
Subject:
mathematics and statistics
Subject:
Algebra
Copyright:
Edition Number:
1
Edition Description:
1999
Series:
Springer Undergraduate Mathematics Series
Publication Date:
March 1999
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
192
Dimensions:
235 x 178 mm 343 gr

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Related Subjects

Science and Mathematics » Mathematics » Foundations and Logic
Science and Mathematics » Mathematics » Logic and Philosophy
Science and Mathematics » Mathematics » Set Theory

Sets, Logic and Categories (Springer Undergraduate Mathematics Series) New Trade Paper
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Product details 192 pages Springer-Verlag - English 9781852330569 Reviews:
"Synopsis" by , Sets, the toolbox for making mathematical models, logic, which tests conclusions, and category theory, the study of functions which preserve some structure on a set together provide the basis for computational science. This self-study guide to all three theories contains many examples.
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