Communications du Séminaire mathématique de l'université de Lund PDF Download
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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 188
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 188
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 380
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Book Description
Author: Béla Bollobás
Publisher: Cambridge University Press
ISBN: 1139936662
Category : Mathematics
Languages : en
Pages : 392
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Book Description
Can a Christian escape from a lion? How quickly can a rumour spread? Can you fool an airline into accepting oversize baggage? Recreational mathematics is full of frivolous questions where the mathematician's art can be brought to bear. But play often has a purpose. In mathematics, it can sharpen skills, provide amusement, or simply surprise, and books of problems have been the stock-in-trade of mathematicians for centuries. This collection is designed to be sipped from, rather than consumed in one sitting. The questions range in difficulty: the most challenging offer a glimpse of deep results that engage mathematicians today; even the easiest prompt readers to think about mathematics. All come with solutions, many with hints, and most with illustrations. Whether you are an expert, or a beginner or an amateur mathematician, this book will delight for a lifetime.
Author: Bazhanov Vladimir V
Publisher: World Scientific
ISBN: 9814548731
Category :
Languages : en
Pages : 472
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Book Description
This proceedings volume aims to expose graduate students to the basic ideas of field theory and statistical mechanics and to give them an understanding and appreciation of current topical research.
Author: Salomon Bochner
Publisher: American Mathematical Soc.
ISBN: 9780821870549
Category : Mathematics
Languages : en
Pages : 476
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Book Description
Collected papers of Salomon Bochner, American mathematician, known for work in mathematical analysis, probability theory and differential geometry.
Author: Claude Itzykson
Publisher: Cambridge University Press
ISBN: 9780521408059
Category : Science
Languages : en
Pages : 440
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Book Description
Volume 1: From Brownian Motion to Renormalization and Lattice Gauge Theory. Volume 2: Strong Coupling, Monte Carlo Methods, Conformal Field Theory, and Random Systems. This two-volume work provides a comprehensive and timely survey of the application of the methods of quantum field theory to statistical physics, a very active and fruitful area of modern research. The first volume provides a pedagogical introduction to the subject, discussing Brownian motion, its anticommutative counterpart in the guise of Onsager's solution to the two-dimensional Ising model, the mean field or Landau approximation, scaling ideas exemplified by the Kosterlitz-Thouless theory for the XY transition, the continuous renormalization group applied to the standard phi-to the fourth theory (the simplest typical case) and lattice gauge theory as a pathway to the understanding of quark confinement in quantum chromodynamics. The second volume covers more diverse topics, including strong coupling expansions and their analysis, Monte Carlo simulations, two-dimensional conformal field theory, and simple disordered systems. The book concludes with a chapter on random geometry and the Polyakov model of random surfaces which illustrates the relations between string theory and statistical physics. The two volumes that make up this work will be useful to theoretical physicists and applied mathematicians who are interested in the exciting developments which have resulted from the synthesis of field theory and statistical physics.
Author: The Lai Pham
Publisher: Springer
ISBN: 3540357645
Category : Mathematics
Languages : fr
Pages : 226
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Book Description
Author: Lunds universitet. Matematiska seminariet
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 320
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Book Description
Author: A K Gupta
Publisher: CRC Press
ISBN: 1351433008
Category : Mathematics
Languages : en
Pages : 382
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Book Description
Useful in physics, economics, psychology, and other fields, random matrices play an important role in the study of multivariate statistical methods. Until now, however, most of the material on random matrices could only be found scattered in various statistical journals. Matrix Variate Distributions gathers and systematically presents most of the recent developments in continuous matrix variate distribution theory and includes new results. After a review of the essential background material, the authors investigate the range of matrix variate distributions, including: matrix variate normal distribution Wishart distribution Matrix variate t-distribution Matrix variate beta distribution F-distribution Matrix variate Dirichlet distribution Matrix quadratic forms With its inclusion of new results, Matrix Variate Distributions promises to stimulate further research and help advance the field of multivariate statistical analysis.
Author: Carolyne M Van Vliet
Publisher: World Scientific Publishing Company
ISBN: 9813101628
Category : Science
Languages : en
Pages : 987
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Book Description
This book encompasses our current understanding of the ensemble approach to many-body physics, phase transitions and other thermal phenomena, as well as the quantum foundations of linear response theory, kinetic equations and stochastic processes. It is destined to be a standard text for graduate students, but it will also serve the specialist-researcher in this fascinating field; some more elementary topics have been included in order to make the book self-contained.The historical methods of J Willard Gibbs and Ludwig Boltzmann, applied to the quantum description rather than phase space, are featured. The tools for computations in the microcanonical, canonical and grand-canonical ensembles are carefully developed and then applied to a variety of classical and standard quantum situations. After the language of second quantization has been introduced, strongly interacting systems, such as quantum liquids, superfluids and superconductivity, are treated in detail. For the connoisseur, there is a section on diagrammatic methods and applications.In the second part dealing with non-equilibrium processes, the emphasis is on the quantum foundations of Markovian behaviour and irreversibility via the Pauli-Van Hove master equation. Justifiable linear response expressions and the quantum-Boltzmann approach are discussed and applied to various condensed matter problems. From this basis the Onsager-Casimir relations are derived, together with the mesoscopic master equation, the Langevin equation and the Fokker-Planck truncation procedure. Brownian motion and modern stochastic problems such as fluctuations in optical signals and radiation fields briefly make the round.
