"Et moi, ..., si j'avait su comment en revenir, je One service mathematics bas rendered the human race. It bas put common sense back n'y serais point all~.' where it belongs, on the topmost shelf next to lu1esVeme the dusty canister labelled 'discarded nonsense'~ Eric T. Bell 1be series is divergent; therefore we may be able to do something with it O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and nonlineari- ties abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sci- ences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One ser- vice topology has rendered mathematical physics ...'; 'One service logic has rendered computer science ...'; 'One service category theory has rendered mathematics ...'. All arguably true. And all statements obtainable this way form part of the raison d 'etre of this series.
Reihe
Auflage
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Research
Illustrationen
Maße
Höhe: 241 mm
Breite: 160 mm
Dicke: 25 mm
Gewicht
ISBN-13
978-0-7923-1922-1 (9780792319221)
DOI
10.1007/978-94-011-2817-9
Schweitzer Klassifikation
Random walk processes and their various applications.- Duality of the Burkholder-Davis-Gundy inequality and the generalized Fefferman-Garsia inequality II.- Martingale Hardy spaces with continuous time.- Construction of optimal Hankel approximations in the guise of stochastic processes.- Lévy's random domains on the plain.- On the infinite divisibility of polynomials in infinitely divisible random variables.- Random sample sizes: limit theorems and characterizations.- Aging solutions of certain renewal type equations.- Extensions of some univariate Bonferroni-type inequalities to multivariate setting.- Univariate and multivariate Bonferroni-type inequalities: methods for proof and questions of optimality.- Sharp Bonferroni-type inequalities in explicit forms.- Analytical representation of limit distributions for a class of random symmetric polynomials.- Tail behavior in Wicksell's corpuscle problem.- Universal contractive projections and a.e. convergence.- Pointwise Bahadur-Kiefer-type theorems (I).- Laws of small numbers: some applications to conditional curve estimation.- Design of statistical lifetime models by functional equations.- Another approach to the ergodic distribution in the M/G/ 1 system.- A new method in probabilistic number theory.- Distribution of Q-additive functions.- Number systems and fractal geometry.- On sequences of solid type.- Author Index.
