Introduction to the Foundations of Mathematics: Second Edition

This classic undergraduate text by an eminent educator acquaints students with the fundamental concepts and methods of mathematics. In addition to introducing many noteworthy historical figures from the eighteenth through the mid-twentieth centuries, the book examines the axiomatic method, set theory, infinite sets, the linear continuum and the real number system, and groups. Additional topics include the Frege-Russell thesis, intuitionism, formal systems, mathematical logic, and the cultural setting of mathematics.
Students and teachers will find that this elegant treatment covers a vast amount of material in a single reasonably concise and readable volume. Each chapter concludes with a set of problems and a list of suggested readings. An extensive bibliography and helpful indexes conclude the text.
1000806423
Introduction to the Foundations of Mathematics: Second Edition

This classic undergraduate text by an eminent educator acquaints students with the fundamental concepts and methods of mathematics. In addition to introducing many noteworthy historical figures from the eighteenth through the mid-twentieth centuries, the book examines the axiomatic method, set theory, infinite sets, the linear continuum and the real number system, and groups. Additional topics include the Frege-Russell thesis, intuitionism, formal systems, mathematical logic, and the cultural setting of mathematics.
Students and teachers will find that this elegant treatment covers a vast amount of material in a single reasonably concise and readable volume. Each chapter concludes with a set of problems and a list of suggested readings. An extensive bibliography and helpful indexes conclude the text.
24.95 In Stock
Introduction to the Foundations of Mathematics: Second Edition

Introduction to the Foundations of Mathematics: Second Edition

by Raymond L. Wilder
Introduction to the Foundations of Mathematics: Second Edition

Introduction to the Foundations of Mathematics: Second Edition

by Raymond L. Wilder

Paperback(Second Edition)

$24.95 
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Overview


This classic undergraduate text by an eminent educator acquaints students with the fundamental concepts and methods of mathematics. In addition to introducing many noteworthy historical figures from the eighteenth through the mid-twentieth centuries, the book examines the axiomatic method, set theory, infinite sets, the linear continuum and the real number system, and groups. Additional topics include the Frege-Russell thesis, intuitionism, formal systems, mathematical logic, and the cultural setting of mathematics.
Students and teachers will find that this elegant treatment covers a vast amount of material in a single reasonably concise and readable volume. Each chapter concludes with a set of problems and a list of suggested readings. An extensive bibliography and helpful indexes conclude the text.

Product Details

ISBN-13: 9780486488202
Publisher: Dover Publications
Publication date: 06/13/2012
Series: Dover Books on Mathematics
Edition description: Second Edition
Pages: 350
Product dimensions: 5.30(w) x 8.40(h) x 0.80(d)

About the Author



Raymond L. Wilder (1896–1982) was Professor of Mathematics at the University of Michigan. After his 1967 retirement, he served as a research associate and lecturer at the University of California, Santa Barbara.

Table of Contents


Part One: Fundamental Concepts and Methods of Mathematics
I. The Axiomatic Method
II. Analysis of the Axiomatic Method
III Theory of Sets
III Theory of Sets
IV. Infinite Sets
V. Well-Ordered Sets; Ordinal Numbers
VI. The Linear Continuum and the Real Number System
VII. Groups and Their Significance for the Foundations
Part Two: Development of Various Viewpoints on Foundations
VIII. The Early Developments
IX. The Frege-Russell Thesis: Mathematics an Extension of Logic
X. Intuitionism
XI. Formal Systems; Mathematical Logic
XII. The Cultural Setting of Mathematics
Bibliography
Index of Symbols
Index of Topics and Technical Terms
Index of Names
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