Integrable Systems

Author: N.J. Hitchin
Publisher: Oxford Graduate Texts in Mathe
ISBN: 9780199676774
Release Date: 2013-03-14
Genre: Mathematics

Designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors, this book has its origins in a lecture series given by the internationally renowned authors. Written in an accessible, informal style, it fills a gap in the existing literature.

Algebraic Integrability Painlev Geometry and Lie Algebras

Author: Mark Adler
Publisher: Springer Science & Business Media
ISBN: 9783662056509
Release Date: 2013-03-14
Genre: Mathematics

This Ergebnisse volume is aimed at a wide readership of mathematicians and physicists, graduate students and professionals. The main thrust of the book is to show how algebraic geometry, Lie theory and Painlevé analysis can be used to explicitly solve integrable differential equations and construct the algebraic tori on which they linearize; at the same time, it is, for the student, a playing ground to applying algebraic geometry and Lie theory. The book is meant to be reasonably self-contained and presents numerous examples. The latter appear throughout the text to illustrate the ideas, and make up the core of the last part of the book. The first part of the book contains the basic tools from Lie groups, algebraic and differential geometry to understand the main topic.

Stochastic Analysis and Diffusion Processes

Author: Gopinath Kallianpur
Publisher: Oxford University Press
ISBN: 9780199657070
Release Date: 2014
Genre: Mathematics

Beginning with the concept of random processes and Brownian motion and building on the theory and research directions in a self-contained manner, this book provides an introduction to stochastic analysis for graduate students, researchers and applied scientists interested in stochastic processes and their applications.

Encyclopedia of mathematical physics

Author: Sheung Tsun Tsou
Publisher: Academic Pr
ISBN: 0125126603
Release Date: 2006-06-06
Genre: Science

The Encyclopedia of Mathematical Physics provides a complete resource for researchers, students and lecturers with an interest in mathematical physics. It enables readers to access basic information on topics peripheral to their own areas, to provide a repository of the core information in the area that can be used to refresh the researcher's own memory banks, and aid teachers in directing students to entries relevant to their course-work. The Encyclopedia does contain information that has been distilled, organised and presented as a complete reference tool to the user and a landmark to the body of knowledge that has accumulated in this domain. It also is a stimulus for new researchers working in mathematical physics or in areas using the methods originated from work in mathematical physics by providing them with focused high quality background information. * First comprehensive interdisciplinary coverage * Mathematical Physics explained to stimulate new developments and foster new applications of its methods to other fields * Written by an international group of experts * Contains several undergraduate-level introductory articles to facilitate acquisition of new expertise * Thematic index and extensive cross-referencing to provide easy access and quick search functionality * Also available online with active linking.

Books in Print

Author: R.R. Bowker Company
Publisher:
ISBN: UOM:39015054035236
Release Date: 2003-09
Genre: American literature

Books in print is the major source of information on books currently published and in print in the United States. The database provides the record of forthcoming books, books in-print, and books out-of-print.

D formations isomonodromiques et vari t s de Frobenius

Author: Claude Sabbah
Publisher: L'Editeur : EDP Sciences
ISBN: 2868835341
Release Date: 2002
Genre: Isomonodromic deformation method

La théorie des déformations isomonodromiques est une machine à produire des systèmes non linéaires d'équations différentielles ou aux dérivées partielles dans le domaine complexe et ce, à partir d'une équation ou d'un système d'équations linéaires d'une variable complexe. La notion de structure de Frobenius sur une variété, apparue d'abord dans la théorie des singularités, puis développée sous l'impulsion de motivations physiques, en est une belle application. Ce texte est issu de plusieurs cours dispensés dans le cadre de la formation doctorale des universités de Paris VI, Bordeaux I et Strasbourg ainsi que lors d'une école sur les variétés de Frobenius au CIRM (Luminy).

Forthcoming Books

Author: Rose Arny
Publisher:
ISBN: UOM:39015046858125
Release Date: 1999
Genre: American literature


Einf hrung in die Funktionalanalysis

Author: Reinhold Meise
Publisher: Springer-Verlag
ISBN: 9783322803108
Release Date: 2013-03-07
Genre: Mathematics

Dieses Buch wendet sich an Studenten der Mathematik und der Physik, welche über Grundkenntnisse in Analysis und linearer Algebra verfügen.

Bernhard Riemann 1826 1866

Author: Detlef Laugwitz
Publisher: Springer-Verlag
ISBN: 9783034889834
Release Date: 2013-03-11
Genre: Mathematics

Das Riemannsche Integral lernen schon die Schüler kennen, die Theorien der reellen und der komplexen Funktionen bauen auf wichtigen Begriffsbildungen und Sätzen Riemanns auf, die Riemannsche Geometrie ist für Einsteins Gravitationstheorie und ihre Erweiterungen unentbehrlich, und in der Zahlentheorie ist die berühmte Riemannsche Vermutung noch immer offen. Riemann und sein um fünf Jahre jüngerer Freund Richard Dedekind sahen sich als Schüler von Gauss und Dirichlet. Um die Mitte des 19. Jahrhunderts leiteten sie den Übergang zur "modernen Mathematik" ein, der eine in Analysis und Geometrie, der andere in der Algebra mit der Hinwendung zu Mengen und Strukturen. Dieses Buch ist der erste Versuch, Riemanns wissenschaftliches Werk unter einem einheitlichen Gesichtspunkt zusammenzufassend darzustellen. Riemann gilt als einer der Philosophen unter den Mathematikern. Er stellte das Denken in Begriffen neben die zuvor vorherrschende algorithmische Auffassung von der Mathematik, welche die Gegenstände der Untersuchung, in Formeln und Figuren, in Termumformungen und regelhaften Konstruktionen als die allein legitimen Methoden sah. David Hilbert hat als Riemanns Grundsatz herausgestellt, die Beweise nicht durch Rechnung, sondern lediglich durch Gedanken zu zwingen. Hermann Weyl sah als das Prinzip Riemanns in Mathematik und Physik, "die Welt als das erkenntnistheoretische Motiv..., die Welt aus ihrem Verhalten im un- endlich kleinen zu verstehen."

Regular Solids and Isolated Singularities

Author: Klaus Lamotke
Publisher: Vieweg+Teubner Verlag
ISBN: 352808958X
Release Date: 1986-01-01
Genre: Mathematics

The last book XIII of Euclid's Elements deals with the regular solids which therefore are sometimes considered as crown of classical geometry. More than two thousand years later around 1850 Schl~fli extended the classification of regular solids to four and more dimensions. A few decades later, thanks to the invention of group and invariant theory the old three dimensional regular solid were involved in the development of new mathematical ideas: F. Klein (Lectures on the Icosa hedron and the Resolution of Equations of Degree Five, 1884) emphasized the relation of the regular solids to the finite rotation groups. He introduced complex coordinates and by means of invariant theory associated polynomial equations with these groups. These equations in turn describe isolated singularities of complex surfaces. The structure of the singularities is investigated by methods of commutative algebra, algebraic and complex analytic geometry, differential and algebraic topology. A paper by DuVal from 1934 (see the References), in which resolutions play an important rele, marked an early stage of these investigations. Around 1970 Klein's polynomials were again related to new mathematical ideas: V. I. Arnold established a hierarchy of critical points of functions in several variables according to growing com plexity. In this hierarchy Kleinls polynomials describe the "simple" critical points.

Semimodular Lattices

Author:
Publisher: Springer-Verlag
ISBN: 9783663124788
Release Date: 2013-12-01
Genre: Technology & Engineering