Kategoria BISAC: Mathematics >> Research

Widespread interest in Frege's general philosophical writings is, relatively speaking, a fairly recent phenomenon. But it is only very recently that his philosophy of mathematics has begun to attract the attention it now enjoys. This interest has been elicited by the discovery of the remarkable mathematical properties of Frege's contextual definition of number and of the unique character of his proposals for a theory of the real numbers.

This collection of essays addresses three main developments in recent work on Frege's philosophy of mathematics: the emerging interest in the...

Peter Winkler hat's wieder geschafft. Nach den enthusiastischen Reaktionen auf sein letztes Buch (auf Deutsch: Mathematische Ratsel fur Liebhaber), gelang es ihm erneut, eine wunderbare Sammlung von eleganten mathematischen Ratseln zusammenzutragen, um seine Leser einmal mehr herauszufordern und zu unterhalten.

Dieses Buch richtet sich an Liebhaber der Mathematik, Liebhaber von Ratseln und von anspruchsvollen intellektuellen Knobeleien. In erster Linie mochte es all jene ansprechen, fur die die Welt der Mathematik wohlgeordnet, logisch und anschaulich ist, und die gleichzeitig offen...

This monograph is an introduction to some special aspects of topology, functional analysis, and analysis for the advanced reader. It also wants to develop a degree theory for function triples which unifies and extends most known degree theories. The book aims to be self-contained and many chapters could even serve as a basis of a course on the covered topics. Only knowledge in basic calculus and of linear algebra is assumed.

Probabilistic approach and stochastic simulation become more and more popular in all branches of science and technology, especially in problems where the data are randomly fluctuating, or they are highly irregular in deterministic sense. As a rule, in such problems it is very difficult and expensive to carry out measurements to extract the desired data. As important examples the book mentions the turbulent flow simulation in atmosphere, and construction of flows through porous media. The temporal and spatial scales of the input parameters in this class of problems are varying enormously,...

This monographis a self-contained exposition of the definition and properties of functionsof bounded variation and their various generalizations; the analytical properties of nonlinear composition operators in spaces of such functions; applications to Fourier analysis, nonlinear integral equations, and boundary value problems. The book is written for non-specialists. Every chapter closes with a list of exercises and open problems.