The Strength of Nonstandard Analysis
1 edition
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Author
Contributions
- Imme van den Berg (Editor) - Contributor
- Vitor Neves (Editor) - Contributor
Publication
2007-04-24 - Springer
Language
English
Word Count
100,250 words, Guess
Page Count
401 pages
Physical Format
Hardcover
Identifiers
- Internet Archivestrengthnonstand00berg
- Internet Archivestrengthnonstand00berg_185
- Internet Archivestrengthnonstand00berg_851
- Internet Archivestrengthofnonsta0000berg
- ISBN-103211499040
and 6 more
- ISBN-139783211499047
- Goodreads6103623
- Library of Congress Control Number2006938803
- OCLC Control Number85843116
- Better World Books9783211499047
- Open LibraryOL9020409M
Classifications
- LCCQA1-939
Description
Nonstandard Analysis enhances mathematical reasoning by introducing new ways of expression and deduction. Distinguishing between standard and nonstandard mathematical objects, its inventor, the eminent mathematician Abraham Robinson, settled in 1961 the centuries-old problem of how to use infinitesimals correctly in analysis. Having also worked as an engineer, he saw not only that his method greatly simplified mathematically proving and teaching, but also served as a powerful tool in modelling, analyzing and solving problems in the applied sciences, among others by effective rescaling and by infinitesimal discretizations. This book reflects the progress made in the forty years since the appearance of Robinson’s revolutionary book Nonstandard Analysis: in the foundations of mathematics and logic, number theory, statistics and probability, in ordinary, partial and stochastic differential equations and in education. The contributions are clear and essentially self-contained.
Subjects
Topics
Other Editions
- The Strength of Nonstandard Analysis
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