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Nonstandard analysis

✍ Scribed by Jaap Ponstein

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English
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147
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Library
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πŸ“œ SIMILAR VOLUMES

Nonstandard Analysis
πŸ“ Nonstandard Analysis
✍ Martin Andreas VΓ€th πŸ“‚ Library πŸ“… 2006 πŸ› BirkhΓ€user Basel 🌐 English

This book presents an introduction into Robinson's nonstandard analysis. Nonstandard analysis is the application of model theory in analysis. However, the reader is not expected to have any background in model theory; instead, some background in analysis, topology, or functional analysis would be us

Nonstandard Analysis
πŸ“ Nonstandard Analysis
✍ Alain M. Robert πŸ“‚ Library πŸ“… 1988 🌐 English

Nonstandard analysis represents a fundamental change of perspective in mathematics (and sciences), comparable to the introduction of Cantor's set theory in the nineteenth century. This book is a short, readable introduction to the subject, based on the axiomatic or IST approach. The first part gives

Nonstandard Analysis
πŸ“ Nonstandard Analysis
✍ Martin VΓ€th πŸ“‚ Library πŸ“… 2007 πŸ› BirkhΓ€user Verlag 🌐 English

This book presents an introduction into Robinson's nonstandard analysis. Nonstandard analysis is the application of model theory in analysis. However, the reader is not expected to have any background in model theory; instead, some background in analysis, topology, or functional analysis would be

Nonstandard Analysis
πŸ“ Nonstandard Analysis
✍ Alain Robert πŸ“‚ Library πŸ“… 1988 πŸ› John Wiley & Sons Inc 🌐 English

Infinitesimals have been hotly debated since the invention of calculus 300 years ago. This accessible treatment of nonstandard analysis (NSA) presents an elementary, yet rigorous account of the theory of infinitesimals and derives some known mathematical results in a nonclassical way. Provides recen

Nonstandard Analysis
πŸ“ Nonstandard Analysis
✍ Alain Robert πŸ“‚ Library πŸ“… 1988 πŸ› John Wiley & Sons Ltd. 🌐 English

Infinitesimals have been hotly debated since the invention of calculus 300 years ago. This accessible treatment of nonstandard analysis (NSA) presents an elementary, yet rigorous account of the theory of infinitesimals and derives some known mathematical results in a nonclassical way. Provides recen

Nonstandard Analysis
πŸ“ Nonstandard Analysis
✍ Martin Andreas VΓ€th πŸ“‚ Library πŸ“… 2007 πŸ› Birkhauser 🌐 English

This book introduces Robinson's nonstandard analysis, an application of model theory in analysis. Unlike some texts, it does not attempt to teach elementary calculus on the basis of nonstandard analysis, but points to some applications in more advanced analysis. The contents proceed from a discussio