In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called `Nonstandard analysis''. `Nonstandard'' here refers to the nature of new fields of num… Meer...
In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called `Nonstandard analysis''. `Nonstandard'' here refers to the nature of new fields of numbers as defined by nonstandard models of the first-order theory of the reals. This system of numbers was closely related to the ring of Schmieden and Laugwitz, developed independently a few years earlier. During the last thirty years the use of nonstandard models in mathematics has taken its rightful place among the various methods employed by mathematicians. The contributions in this volume have been selected to present a panoramic view of the various directions in which nonstandard analysis is advancing, thus serving as a source of inspiration for future research. Papers have been grouped in sections dealing with analysis, topology and topological groups; probability theory; and mathematical physics. This volume can be used as a complementary text to courses in nonstandard analysis, and will be of interest to graduate students and researchers in both pure and applied mathematics and physics. | Advances in Analysis Probability and Mathematical Physics by Sergio Albeverio Paperback | Indigo Chapters Books > Science & Nature > Math & Physics > Mathematics P10117, Sergio Albeverio<
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In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called `Nonstandard analysis''. `Nonstandard'' here refers to the nature of new fields of num… Meer...
In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called `Nonstandard analysis''. `Nonstandard'' here refers to the nature of new fields of numbers as defined by nonstandard models of the first-order theory of the reals. This system of numbers was closely related to the ring of Schmieden and Laugwitz, developed independently a few years earlier.During the last thirty years the use of nonstandard models in mathematics has taken its rightful place among the various methods employed by mathematicians. The contributions in this volume have been selected to present a panoramic view of the various directions in which nonstandard analysis is advancing, thus serving as a source of inspiration for future research.Papers have been grouped in sections dealing with analysis, topology and topological groups; probability theory; and mathematical physics.This volume can be used as a complementary text to courses in nonstandard analysis, and will be of interest to graduate students and researchers in both pure and applied mathematics and physics. Books > Science & Nature > Math & Physics > Mathematics List_Books<
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Albeverio, Sergio (Herausgeber); Wolff, Manfred P. H. (Herausgeber); Luxemburg, Wilhelm A. J. (Herausgeber): Advances in Analysis, Probability and Mathematical Physics Contributions of Nonstandard Analysis - pocketboek
Albeverio, Sergio (Herausgeber); Luxemburg, Wilhelm A. J. (Herausgeber); Wolff, Manfred P. H. (Herausgeber): Advances in Analysis, Probability and Mathematical Physics Contributions of Nonstandard Analysis - pocketboek
Advances in Analysis Probability and Mathematical Physics ab 170.99 € als Taschenbuch: Contributions of Nonstandard Analysis. Softcover reprint of hardcover 1st ed. 1995. Aus dem Bereich:… Meer...
Advances in Analysis Probability and Mathematical Physics ab 170.99 € als Taschenbuch: Contributions of Nonstandard Analysis. Softcover reprint of hardcover 1st ed. 1995. Aus dem Bereich: Bücher, Taschenbücher, Naturwissenschaft, Springer Netherlands<
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In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called `Nonstandard analysis''. `Nonstandard'' here refers to the nature of new fields of num… Meer...
In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called `Nonstandard analysis''. `Nonstandard'' here refers to the nature of new fields of numbers as defined by nonstandard models of the first-order theory of the reals. This system of numbers was closely related to the ring of Schmieden and Laugwitz, developed independently a few years earlier. During the last thirty years the use of nonstandard models in mathematics has taken its rightful place among the various methods employed by mathematicians. The contributions in this volume have been selected to present a panoramic view of the various directions in which nonstandard analysis is advancing, thus serving as a source of inspiration for future research. Papers have been grouped in sections dealing with analysis, topology and topological groups; probability theory; and mathematical physics. This volume can be used as a complementary text to courses in nonstandard analysis, and will be of interest to graduate students and researchers in both pure and applied mathematics and physics. | Advances in Analysis Probability and Mathematical Physics by Sergio Albeverio Paperback | Indigo Chapters Books > Science & Nature > Math & Physics > Mathematics P10117, Sergio Albeverio<
new in stock. Verzendingskosten:zzgl. Versandkosten., exclusief verzendingskosten
In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called `Nonstandard analysis''. `Nonstandard'' here refers to the nature of new fields of num… Meer...
In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called `Nonstandard analysis''. `Nonstandard'' here refers to the nature of new fields of numbers as defined by nonstandard models of the first-order theory of the reals. This system of numbers was closely related to the ring of Schmieden and Laugwitz, developed independently a few years earlier.During the last thirty years the use of nonstandard models in mathematics has taken its rightful place among the various methods employed by mathematicians. The contributions in this volume have been selected to present a panoramic view of the various directions in which nonstandard analysis is advancing, thus serving as a source of inspiration for future research.Papers have been grouped in sections dealing with analysis, topology and topological groups; probability theory; and mathematical physics.This volume can be used as a complementary text to courses in nonstandard analysis, and will be of interest to graduate students and researchers in both pure and applied mathematics and physics. Books > Science & Nature > Math & Physics > Mathematics List_Books<
new in stock. Verzendingskosten:zzgl. Versandkosten., exclusief verzendingskosten
Albeverio, Sergio (Herausgeber); Wolff, Manfred P. H. (Herausgeber); Luxemburg, Wilhelm A. J. (Herausgeber): Advances in Analysis, Probability and Mathematical Physics Contributions of Nonstandard Analysis - pocketboek
Albeverio, Sergio (Herausgeber); Luxemburg, Wilhelm A. J. (Herausgeber); Wolff, Manfred P. H. (Herausgeber): Advances in Analysis, Probability and Mathematical Physics Contributions of Nonstandard Analysis - pocketboek
Advances in Analysis Probability and Mathematical Physics ab 170.99 € als Taschenbuch: Contributions of Nonstandard Analysis. Softcover reprint of hardcover 1st ed. 1995. Aus dem Bereich:… Meer...
Advances in Analysis Probability and Mathematical Physics ab 170.99 € als Taschenbuch: Contributions of Nonstandard Analysis. Softcover reprint of hardcover 1st ed. 1995. Aus dem Bereich: Bücher, Taschenbücher, Naturwissenschaft, Springer Netherlands<
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In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called `Nonstandard analysis'. `Nonstandard' here refers to the nature of new fields of numbers as defined by nonstandard models of the first-order theory of the reals. This system of numbers was closely related to the ring of Schmieden and Laugwitz, developed independently a few years earlier. During the last thirty years the use of nonstandard models in mathematics has taken its rightful place among the various methods employed by mathematicians. The contributions in this volume have been selected to present a panoramic view of the various directions in which nonstandard analysis is advancing, thus serving as a source of inspiration for future research. Papers have been grouped in sections dealing with analysis, topology and topological groups; probability theory; and mathematical physics. This volume can be used as a complementary text to courses in nonstandard analysis, and will be of interest to graduate students and researchers in both pure and applied mathematics and physics.
Gedetalleerde informatie over het boek. - Advances in Analysis Probability and Mathematical Physics by Sergio Albeverio Paperback | Indigo Chapters
EAN (ISBN-13): 9789048144815 ISBN (ISBN-10): 9048144817 Gebonden uitgave pocket book Verschijningsjaar: 2010 Uitgever: Sergio Albeverio 264 Bladzijden Gewicht: 0,404 kg Taal: eng/Englisch
Boek bevindt zich in het datenbestand sinds 2010-08-11T09:48:49+02:00 (Amsterdam) Detailpagina laatst gewijzigd op 2024-01-09T21:39:38+01:00 (Amsterdam) ISBN/EAN: 9789048144815
ISBN - alternatieve schrijfwijzen: 90-481-4481-7, 978-90-481-4481-5 alternatieve schrijfwijzen en verwante zoekwoorden: Auteur van het boek: wilhelm wolff, luxemburg, manfred wilhelm, sergio albeverio, laugwitz, schmieden Titel van het boek: mathematical physics, probability analysis, nonstandard analysis and its applications, probability course
Gegevens van de uitgever
Auteur: Sergio Albeverio; Wilhelm A.J. Luxemburg; Manfred P.H. Wolff Titel: Mathematics and Its Applications; Advances in Analysis, Probability and Mathematical Physics - Contributions of Nonstandard Analysis Uitgeverij: Springer; Springer Netherland 252 Bladzijden Verschijningsjaar: 2010-12-05 Dordrecht; NL Gedrukt / Gemaakt in Taal: Engels 160,49 € (DE) 164,99 € (AT) 177,00 CHF (CH) POD X, 252 p.
BC; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Probability theory; Variance; calculus; differential equation; mathematical physics; Analysis; Statistics; Theoretical, Mathematical and Computational Physics; Geometry; Wahrscheinlichkeitsrechnung und Statistik; Mathematische Physik; Geometrie; BB; EA
Table of Content.- I: Analysis.- Singular traces and nonstandard analysis.- Navier-Stokes equations.- Hyperfinite approximations of commutative topological groups.- A note on the myope topology.- Nonlinear theories of generalized functions.- A nonstandard approach to the Pettis integral.- A counterexample to the spectral mapping theorem revisited from a nonstandard point of view.- Nonstandard polynominals in several variables.- An existence result for a class of partial differential equations with smooth coefficients.- On the generation of topology by external equivalence relations.- Nonstandard hulls of Lebesgue-Bochner spaces.- II: Probability Theory.- A nonstandard approach to diffusions on manifolds and nonstandard heat kernels.- A nonstandard approach to the Malliavin Calculus.- Ergodic transformations in AST.- Nonstandard characterization for a general invariance principle.- Andersons’s Brownian motion and the infinite dimensional Ornstein-Uhlenbeck process.- Two applications of NSA in the theory of stochastic dynamical systems.- Nonstandard methods and the space of experiments.- III: Mathematical Physics.- Infinite range forces and strong L1-asymptotics for the space-homogeneous Boltzmann equation.- A nonstandard analysis approach to the theory of quantum meanfield systems.
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