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9780486488202

Introduction to the Foundations of Mathematics Second Edition

by
  • ISBN13:

    9780486488202

  • ISBN10:

    0486488209

  • Edition: 2nd
  • Format: Paperback
  • Copyright: 2012-06-13
  • Publisher: Dover Publications

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Summary

This classic undergraduate text elegantly acquaints students with the fundamental concepts and methods of mathematics. In addition to introducing many noteworthy historical figures from the 18th through the mid-20th centuries, it examines the axiomatic method, set theory, infinite sets, the linear continuum and the real number system, groups, intuitionism, formal systems, mathematical logic, and other topics.

Author Biography

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  
 

Supplemental Materials

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

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