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Book Probability and Related Topics in Physical Sciences

Download or read book Probability and Related Topics in Physical Sciences written by Mark Kac and published by American Mathematical Soc.. This book was released on 1959-12-31 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nothing provided

Book Probability and Related Topics in Physical Sciences

Download or read book Probability and Related Topics in Physical Sciences written by Mark Kac and published by . This book was released on 1976 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Probability and related topics in physical science  by M  Kac

Download or read book Probability and related topics in physical science by M Kac written by and published by . This book was released on 1999 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Probability and Related Topics in Physical Sciences

Download or read book Probability and Related Topics in Physical Sciences written by Mark Kac and published by . This book was released on 1957 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Non autonomous Kato Classes And Feynman kac Propagators

Download or read book Non autonomous Kato Classes And Feynman kac Propagators written by Archil Gulisashvili and published by World Scientific. This book was released on 2006-07-14 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to propagator theory. Propagators, or evolution families, are two-parameter analogues of semigroups of operators. Propagators are encountered in analysis, mathematical physics, partial differential equations, and probability theory. They are often used as mathematical models of systems evolving in a changing environment. A unifying theme of the book is the theory of Feynman-Kac propagators associated with time-dependent measures from non-autonomous Kato classes. In applications, a Feynman-Kac propagator describes the evolution of a physical system in the presence of time-dependent absorption and excitation. The book is suitable as an advanced textbook for graduate courses.

Book The Princeton Companion to Applied Mathematics

Download or read book The Princeton Companion to Applied Mathematics written by Nicholas J. Higham and published by Princeton University Press. This book was released on 2015-09-15 with total page 1031 pages. Available in PDF, EPUB and Kindle. Book excerpt: The must-have compendium on applied mathematics This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index

Book Levy Processes  Integral Equations  Statistical Physics  Connections and Interactions

Download or read book Levy Processes Integral Equations Statistical Physics Connections and Interactions written by Lev A. Sakhnovich and published by Springer Science & Business Media. This book was released on 2012-07-18 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a number of famous works, M. Kac showed that various methods of probability theory can be fruitfully applied to important problems of analysis. The interconnection between probability and analysis also plays a central role in the present book. However, our approach is mainly based on the application of analysis methods (the method of operator identities, integral equations theory, dual systems, integrable equations) to probability theory (Levy processes, M. Kac's problems, the principle of imperceptibility of the boundary, signal theory). The essential part of the book is dedicated to problems of statistical physics (classical and quantum cases). We consider the corresponding statistical problems (Gibbs-type formulas, non-extensive statistical mechanics, Boltzmann equation) from the game point of view (the game between energy and entropy). One chapter is dedicated to the construction of special examples instead of existence theorems (D. Larson's theorem, Ringrose's hypothesis, the Kadison-Singer and Gohberg-Krein questions). We also investigate the Bezoutiant operator. In this context, we do not make the assumption that the Bezoutiant operator is normally solvable, allowing us to investigate the special classes of the entire functions.

Book Thinking in Problems

    Book Details:
  • Author : Alexander A. Roytvarf
  • Publisher : Springer Science & Business Media
  • Release : 2013-01-04
  • ISBN : 0817684069
  • Pages : 434 pages

Download or read book Thinking in Problems written by Alexander A. Roytvarf and published by Springer Science & Business Media. This book was released on 2013-01-04 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise, self-contained textbook gives an in-depth look at problem-solving from a mathematician’s point-of-view. Each chapter builds off the previous one, while introducing a variety of methods that could be used when approaching any given problem. Creative thinking is the key to solving mathematical problems, and this book outlines the tools necessary to improve the reader’s technique. The text is divided into twelve chapters, each providing corresponding hints, explanations, and finalization of solutions for the problems in the given chapter. For the reader’s convenience, each exercise is marked with the required background level. This book implements a variety of strategies that can be used to solve mathematical problems in fields such as analysis, calculus, linear and multilinear algebra and combinatorics. It includes applications to mathematical physics, geometry, and other branches of mathematics. Also provided within the text are real-life problems in engineering and technology. Thinking in Problems is intended for advanced undergraduate and graduate students in the classroom or as a self-study guide. Prerequisites include linear algebra and analysis.

Book Probability and related topics in physical sciences

Download or read book Probability and related topics in physical sciences written by and published by . This book was released on 1959 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Entropy

    Book Details:
  • Author : Andreas Greven
  • Publisher : Princeton University Press
  • Release : 2014-09-08
  • ISBN : 1400865220
  • Pages : 376 pages

Download or read book Entropy written by Andreas Greven and published by Princeton University Press. This book was released on 2014-09-08 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding.

Book Transport Phenomena and Kinetic Theory

Download or read book Transport Phenomena and Kinetic Theory written by Carlo Cercignani and published by Springer Science & Business Media. This book was released on 2007-12-03 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of kinetic equations related to gases, semiconductors, photons, traffic flow, and other systems has developed rapidly in recent years because of its role as a mathematical tool in areas such as engineering, meteorology, biology, chemistry, materials science, nanotechnology, and pharmacy. Written by leading specialists in their respective fields, this book presents an overview of recent developments in the field of mathematical kinetic theory with a focus on modeling complex systems, emphasizing both mathematical properties and their physical meaning. Transport Phenomena and Kinetic Theory is an excellent self-study reference for graduate students, researchers, and practitioners working in pure and applied mathematics, mathematical physics, and engineering. The work may be used in courses or seminars on selected topics in transport phenomena or applications of the Boltzmann equation.

Book Chance in Physics

    Book Details:
  • Author : J. Bricmont
  • Publisher : Springer
  • Release : 2008-01-11
  • ISBN : 3540449663
  • Pages : 277 pages

Download or read book Chance in Physics written by J. Bricmont and published by Springer. This book was released on 2008-01-11 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This selection of reviews and papers is intended to stimulate renewed reflection on the fundamental and practical aspects of probability in physics. While putting emphasis on conceptual aspects in the foundations of statistical and quantum mechanics, the book deals with the philosophy of probability in its interrelation with mathematics and physics in general. Addressing graduate students and researchers in physics and mathematics togehter with philosophers of science, the contributions avoid cumbersome technicalities in order to make the book worthwhile reading for nonspecialists and specialists alike.

Book More Sets  Graphs and Numbers

Download or read book More Sets Graphs and Numbers written by Ervin Gyori and published by Springer Science & Business Media. This book was released on 2010-10-02 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume honours the eminent mathematicians Vera Sos and Andras Hajnal. The book includes survey articles reviewing classical theorems, as well as new, state-of-the-art results. Also presented are cutting edge expository research papers with new theorems and proofs in the area of the classical Hungarian subjects, like extremal combinatorics, colorings, combinatorial number theory, etc. The open problems and the latest results in the papers are sure to inspire further research.

Book Random Process Analysis With R

Download or read book Random Process Analysis With R written by Marco Bittelli and published by Oxford University Press. This book was released on 2022-10-13 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random process analysis (RPA) is used as a mathematical model in physics, chemistry, biology, computer science, information theory, economics, environmental science, and many other disciplines. Over time, it has become more and more important for the provision of computer code and data sets. This book presents the key concepts, theory, and computer code written in R, helping readers with limited initial knowledge of random processes to become confident in their understanding and application of these principles in their own research. Consistent with modern trends in university education, the authors make readers active learners with hands-on computer experiments in R code directing them through RPA methods and helping them understand the underlying logic. Each subject is illustrated with real data collected in experiments performed by the authors or taken from key literature. As a result, the reader can promptly apply the analysis to their own data, making this book an invaluable resource for undergraduate and graduate students, as well as professionals, in physics, engineering, biophysical and environmental sciences, economics, and social sciences.