Non-standard Analysis (Studies in Logic & Mathematics) - Hardcover

Robinson, Abraham

Hardcover

ISBN 10: 072042237X ISBN 13: 9780720422375

Publisher: Elsevier Science Publishing Co Inc.,U.S., 1970

Synopsis

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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Review

Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and application of non-standard analysis which grew out of Robinson's attempt to resolve the contradictions posed by infinitesimals within calculus. (L'Enseignement Mathématique )

Edition details

• Publisher: Elsevier Science Publishing Co Inc.,U.S.
• Publication date: 1970
• Language: English
• ISBN 10: 072042237X
• ISBN 13: 9780720422375
• Binding: Hardcover
• Number of pages: 305