Non-standard Analysis

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Princeton University Press, 1974 - 293 Seiten

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.

 

Inhalt

GENERAL INTRODUCTION
1
TOOLS FROM LOGIC
6
DIFFERENTIAL AND INTEGRAL CALCULUS
49
GENERAL TOPOLOGY
89
FUNCTIONS OF A REAL VARIABLE
123
FUNCTIONS OF A COMPLEX VARIABLE
147
LINEAR SPACES
177
TOPOLOGICAL GROUPS AND LIE GROUPS
202
SELECTED TOPICS
230
CONCERNING THE HISTORY OF THE CALCULUS
260
Urheberrecht

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Autoren-Profil (1974)

Abraham Robinson (1918-1974) was born in Prussia and taught mathematics at universities in Canada, Israel, and the United States. At the time of his death he was Sterling Professor of Mathematics at Yale University.

Bibliografische Informationen

TitelNon-standard Analysis
Princeton landmarks in mathematics and physics
Princeton landmarks in mathematics
Princeton paperbacks
Autor/inAbraham Robinson
Ausgabeillustriert, überarbeitet
VerlagPrinceton University Press, 1974
ISBN0691044902, 9780691044903
Länge293 Seiten
  
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