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Author: Simone Gutt
Publisher: Cambridge University Press
Published: 2005-06-21
Total Pages: 380
ISBN-13: 9780521615051
DOWNLOAD EBOOK →An accessible introduction to Poisson geometry suitable for graduate students.
Author: Giuseppe Dito
Publisher: American Mathematical Soc.
Published: 2008
Total Pages: 330
ISBN-13: 0821844237
DOWNLOAD EBOOK →This volume is a collection of articles by speakers at the Poisson 2006 conference. The program for Poisson 2006 was an overlap of topics that included deformation quantization, generalized complex structures, differentiable stacks, normal forms, and group-valued moment maps and reduction.
Author: Marc Aristide Rieffel
Publisher: American Mathematical Soc.
Published: 1993
Total Pages: 110
ISBN-13: 0821825755
DOWNLOAD EBOOK →This work describes a general construction of a deformation quantization for any Poisson bracket on a manifold which comes from an action of R ]d on that manifold. These deformation quantizations are strict, in the sense that the deformed product of any two functions is again a function and that there are corresponding involutions and operator norms. Many of the techniques involved are adapted from the theory of pseudo-differential operators. The construction is shown to have many favorable properties. A number of specific examples are described, ranging from basic ones such as quantum disks, quantum tori, and quantum spheres, to aspects of quantum groups.
Author: Christopher D. Hacon
Publisher: Cambridge University Press
Published: 2015-01-15
Total Pages: 451
ISBN-13: 110764755X
DOWNLOAD EBOOK →A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.
Author: Jens Bölte
Publisher: Cambridge University Press
Published: 2012
Total Pages: 285
ISBN-13: 1107610494
DOWNLOAD EBOOK →Leading experts introduce this classical subject with exciting new applications in theoretical physics.
Author: Felix Finster
Publisher: Birkhäuser
Published: 2016-02-24
Total Pages: 517
ISBN-13: 331926902X
DOWNLOAD EBOOK →Quantum physics has been highly successful for more than 90 years. Nevertheless, a rigorous construction of interacting quantum field theory is still missing. Moreover, it is still unclear how to combine quantum physics and general relativity in a unified physical theory. Attacking these challenging problems of contemporary physics requires highly advanced mathematical methods as well as radically new physical concepts. This book presents different physical ideas and mathematical approaches in this direction. It contains a carefully selected cross-section of lectures which took place in autumn 2014 at the sixth conference ``Quantum Mathematical Physics - A Bridge between Mathematics and Physics'' in Regensburg, Germany. In the tradition of the other proceedings covering this series of conferences, a special feature of this book is the exposition of a wide variety of approaches, with the intention to facilitate a comparison. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area.
Author: Artur Czumaj
Publisher: Cambridge University Press
Published: 2015-07-02
Total Pages: 333
ISBN-13: 1107462509
DOWNLOAD EBOOK →This book contains surveys of recent important developments in combinatorics covering a wide range of areas in the field.
Author: Zoran Stanić
Publisher: Cambridge University Press
Published: 2015-07-23
Total Pages: 311
ISBN-13: 1107545978
DOWNLOAD EBOOK →This book explores the inequalities for eigenvalues of the six matrices associated with graphs. Includes the main results and selected applications.
Author: J. C. Meyer
Publisher: Cambridge University Press
Published: 2015-10-22
Total Pages: 177
ISBN-13: 1316301079
DOWNLOAD EBOOK →Reaction-diffusion theory is a topic which has developed rapidly over the last thirty years, particularly with regards to applications in chemistry and life sciences. Of particular importance is the analysis of semi-linear parabolic PDEs. This monograph provides a general approach to the study of semi-linear parabolic equations when the nonlinearity, while failing to be Lipschitz continuous, is Hölder and/or upper Lipschitz continuous, a scenario that is not well studied, despite occurring often in models. The text presents new existence, uniqueness and continuous dependence results, leading to global and uniformly global well-posedness results (in the sense of Hadamard). Extensions of classical maximum/minimum principles, comparison theorems and derivative (Schauder-type) estimates are developed and employed. Detailed specific applications are presented in the later stages of the monograph. Requiring only a solid background in real analysis, this book is suitable for researchers in all areas of study involving semi-linear parabolic PDEs.
Author: James Lepowsky
Publisher: Cambridge University Press
Published: 2010-06-03
Total Pages: 415
ISBN-13: 0521106648
DOWNLOAD EBOOK →This volume examines the impact of the 'Monstrous Moonshine' paper on mathematics and theoretical physics.
