Foundations of mathematics
questions of analysis, geometry & algorithmics
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Word Count
25,000 words, Guess
Page Count
100 pages
Identifiers
- Open LibraryOL1740310M
- ISBN-103540564225
- OCLC Control Number27266641
- OCLC Control Numberfoundationsofmat0000enge
- Library of Congress Control Number92046107
and 2 more
- Goodreads3569780
- LibraryThing3333708
Classifications
- DDC510/.1
- LCCQA9.8 .E5413 1993
Description
This book is concerned with those foundational questions in elementary algebra, calculus and geometry, that are almost always left unanswered in undergraduate courses in these subjects. Among the topics considered are non-standard analysis, the relationship between classical geometric theorems (such as those of Pascal and Desargues) and field axioms, questions of decidability, and combinatorial logic. An attractive feature is the case given to the historical context in which foundational questions have arisen, and to the early attempts made to resolve them. From the ZENTRALBLATT review of the German edition: "It isone of those rare books which give you freedom and fantasy to reconsider themost common concepts of mathematics...The book explains carefully, using motivating examples and sometimes quite original proofs, the developmentof crucial ideas in important branches of mathematics. It is a pleasure to read it."
Subjects
Other Editions
- Foundations of mathematics: questions of analysis, geometry & algorithmics
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