The Strength of Nonstandard Analysis
Springer Wien (Verlag)
978-3-211-49904-7 (ISBN)
Foundations.- The strength of nonstandard analysis.- The virtue of simplicity.- Analysis of various practices of referring in classical or non standard mathematics.- Stratified analysis?.- ERNA at work.- The Sousa Pinto approach to nonstandard generalised functions.- Neutrices in more dimensions.- Number theory.- Nonstandard methods for additive and combinatorial number theory. A survey.- Nonstandard methods and the Erd?s-Turán conjecture.- Statistics, probability and measures.- Nonstandard likelihood ratio test in exponential families.- A finitary approach for the representation of the infinitesimal generator of a markovian semigroup.- On two recent applications of nonstandard analysis to the theory of financial markets.- Quantum Bernoulli experiments and quantum stochastic processes.- Applications of rich measure spaces formed from nonstandard models.- More on S-measures.- A Radon-Nikodým theorem for a vector-valued reference measure.- Differentiability of Loeb measures.- Differential systems and equations.- The power of Gâteaux differentiability.- Nonstandard Palais-Smale conditions.- Averaging for ordinary differential equations and functional differential equations.- Path-space measure for stochastic differential equation with a coefficient of polynomial growth.- Optimal control for Navier-Stokes equations.- Local-in-time existence of strong solutions of the n-dimensional Burgers equation via discretizations.- Infinitesimals and education.- Calculus with infinitesimals.- Pre-University Analysis.
Erscheint lt. Verlag | 27.12.2006 |
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Zusatzinfo | XX, 401 p. 16 illus. |
Verlagsort | Vienna |
Sprache | englisch |
Maße | 170 x 242 mm |
Gewicht | 930 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Schlagworte | Analysis • Calculus • differential equation • Differential Equations • Education • infinitesimals • likelihood • measure • measures • nonstandard analysis • Number Theory • ordinary differential equation • Partial differential equations • Probability • Problem Solving • ratio test • Statistics • Stochastic process • Stochastic Processes |
ISBN-10 | 3-211-49904-0 / 3211499040 |
ISBN-13 | 978-3-211-49904-7 / 9783211499047 |
Zustand | Neuware |
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