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Contributions to Non-Standard Analysis (Studies in Logic and the Foundations of Mathematics 69)

Contributions to Non-Standard Analysis (Studies in Logic and the Foundations of Mathematics 69)

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Contributions to Non-Standard Analysis (Studies in Logic and the Foundations of Mathematics 69)

Contributions to Non-Standard Analysis (Studies in Logic and the Foundations of Mathematics 69) Summary:

 
By W.A.J. Luxemburg, Abraham Robinson
  • Publisher:   North-Holland
  • Number Of Pages:  289
  • Publication Date:   1972-01-01
  • ISBN-10 / ASIN:   0720420652
  • ISBN-13 / EAN:   9780720420654
Contents: Preface Algebraic Function Fields and Non-Standard Arithmetic 1-14
Abraham Robinson A Nonstandard Analysis Approach to Fourier Analysis 15-39
W.A.J. Luxemburg A Remark on the Cantor-Lebesgue Lemma 41-46
W.A.J. Luxemburg Uniform Continuity and Rates of Growth of Meromorphic Functions 47-64
K.D. Stroyan A Non-Standard Representation of Measurable Spaces, L∞, and L∞* 65-80
Petera. Loeb Ein Nicht-Standard-Beweis Füur Die Existenz Eines Starken Liftings in L∞[0, 1] 81-83
Bernd Eifrig On Some Concurrent Binary Relations Occurring in Analysis 85-100
W.A.J. Luxemburg Restricted Ultraproducts of Finite von Neumann Algebras 101-114
Gerhard Janssen Almost Perpendicular Vectors 115-121
Christianw. Puritz Functional Analysis — A Non-Standard Treatment with Semifields 123-170
Leslie Young Non-Standard Notes on the Hyperspace 171-177
I. Juhász Nonstandard-Komplettierung von Cauchy-Algebren 179-213
Manfred Wolff Skies, Constellations and Monads 215-243
Christianw. Puritz Additional Remarks on the Theory of Monads 245-259
K.D. Stroyan Ultrafilters and Ultraproducts in Non-Standard Analysis 261-279
Greg Cherlin, Joram Hirschfeld A Computer Oriented Version of ‘Non-Standard Analysis 281-289
Anton Jensen
 
 
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