Non-standard Analysis

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  • Non-standard Analysis Book Detail

  • Author : Abraham Robinson
  • Release Date : 2016-08-11
  • Publisher : Princeton University Press
  • Genre : Mathematics
  • Pages : 315
  • ISBN 13 : 1400884225
  • File Size : 49,49 MB

Non-standard Analysis by Abraham Robinson PDF Summary

Book Description: Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and applications of non-standard analysis by the mathematician who founded the subject. Non-standard analysis grew out of Robinson's attempt to resolve the contradictions posed by infinitesimals within calculus. He introduced this new subject in a seminar at Princeton in 1960, and it remains as controversial today as it was then. This paperback reprint of the 1974 revised edition is indispensable reading for anyone interested in non-standard analysis. It treats in rich detail many areas of application, including topology, functions of a real variable, functions of a complex variable, and normed linear spaces, together with problems of boundary layer flow of viscous fluids and rederivations of Saint-Venant's hypothesis concerning the distribution of stresses in an elastic body.

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Non-standard Analysis

Non-standard Analysis

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Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and applications of non-standard analysis by the mat

Lectures on the Hyperreals

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An introduction to nonstandard analysis based on a course given by the author. It is suitable for beginning graduates or upper undergraduates, or for self-study

Nonstandard Analysis

Nonstandard Analysis

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This concise text is based on the axiomatic internal set theory approach. Theoretical topics include idealization, standardization, and transfer, real numbers a

Nonstandard Analysis and Its Applications

Nonstandard Analysis and Its Applications

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This textbook is an introduction to non-standard analysis and to its many applications. Non standard analysis (NSA) is a subject of great research interest both