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Product details:
- Edition number 2
- Publisher Dover Publications Inc.
- Date of Publication 27 July 2012
- ISBN 9780486488202
- Binding Paperback
- No. of pages352 pages
- Size 216x137 mm
- Weight 363 g
- Language English 0
Categories
Short description:
Classic undergraduate text acquaints students with fundamental concepts and methods of mathematics. Topics include axiomatic method, set theory, infinite sets, groups, intuitionism, formal systems, mathematical logic, and much more. 1965 second edition.
MoreLong description:
This classic undergraduate text acquaints students with the fundamental concepts and methods of mathematics. In addition to introducing many historical figures from the 18th through the mid-20th centuries, it examines the axiomatic method, set theory, infinite sets, groups, intuitionism, formal systems, mathematical logic, and other topics. 1965 second edition.
This classic undergraduate text acquaints students with the fundamental concepts and methods of mathematics. In addition to introducing many historical figures from the 18th through the mid-20th centuries, it examines the axiomatic method, set theory, infinite sets, groups, intuitionism, formal systems, mathematical logic, and other topics. 1965 second edition.
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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