Non-standard Analysis

Cover
Princeton University Press, 1974 - 293 Seiten
0 Rezensionen
Rezensionen werden nicht überprüft, Google sucht jedoch gezielt nach gefälschten Inhalten und entfernt diese

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.

 

Was andere dazu sagen - Rezension schreiben

Rezensionen werden nicht überprüft, Google sucht jedoch gezielt nach gefälschten Inhalten und entfernt diese

LibraryThing Review

Nutzerbericht  - chemacortes - LibraryThing

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 ... Vollständige Rezension lesen

LibraryThing Review

Nutzerbericht  - fpagan - LibraryThing

From the horse's mouth -- the discoverer of nonstandard analysis himself (1918-1974) wrote this rigorous exposition, noted for its difficult logic-theoretic starting point. Pretty impenetrable, but I ... Vollständige Rezension lesen

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

Andere Ausgaben - Alle anzeigen

Non-standard Analysis
Abraham Robinson
Eingeschränkte Leseprobe - 2016
Non-standard Analysis
Abraham Robinson
Auszug - 1974
Non-standard Analysis
Abraham Robinson
Auszug - 1974
Alle anzeigen »

Häufige Begriffe und Wortgruppen

Accordingly analytic applies arbitrary argument assumption belongs bounded Calculus called Cauchy choose circle classical closed compact completes conclude condition consider consistent constants contains continuous corresponding defined definition denoted derivatives determine Differential elements enlargement equation equivalent example exists expressed extended fact field finite follows function given Hence higher order holds implies includes individuals infinite natural number infinitely small infinitesimal integral internal internal set introduced language Leibniz limit linear mapping mathematical means measure method metric monad Moreover near-standard necessary normal notion obtain occur open sets operator particular polynomial positive positive number possesses PROOF proves quantities real numbers regarded relation respectively result S-continuous satisfied sense sentence sequence set of points shows space standard point statement structure subset sufficient Suppose symbols THEOREM theory topological true values variable zero

Verweise auf dieses Buch

Über den Autor (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

QR code for Non-standard Analysis
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
  
Zitat exportierenBiBTeX EndNote RefMan