Introduction to the Foundations of Mathematics: Second Edition - Brossura

Wilder, Raymond L.

Brossura

ISBN 10: 0486488209 ISBN 13: 9780486488202

Casa editrice: Dover Pubns, 2012

Riassunto

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.

Su questo libro

L'autore

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.

Contenuti

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

Dettagli dell?edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2012
• ISBN 10: 0486488209
• ISBN 13: 9780486488202
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero edizione: 2
• Numero di pagine: 327