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Encyclopedia Of Mathematical Physics St Z
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Book Synopsis Encyclopedia of Mathematical Physics by : Jean-Pierre Françoise
Download or read book Encyclopedia of Mathematical Physics written by Jean-Pierre Françoise and published by Academic Press. This book was released on 2006 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 originating from work in mathematical physics by providing them with focused high quality background information. Editorial Board: Jean-Pierre Françoise, Université Pierre et Marie Curie, Paris, France Gregory L. Naber, Drexel University, Philadelphia, PA, USA Tsou Sheung Tsun, University of Oxford, UK Also available online via ScienceDirect (2006) - featuring extensive browsing, searching, and internal cross-referencing between articles in the work, plus dynamic linking to journal articles and abstract databases, making navigation flexible and easy.
Book Synopsis CRC Concise Encyclopedia of Mathematics by : Eric W. Weisstein
Download or read book CRC Concise Encyclopedia of Mathematics written by Eric W. Weisstein and published by CRC Press. This book was released on 2002-12-12 with total page 3253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
Book Synopsis Soliton Equations and Their Algebro-Geometric Solutions: Volume 2, (1+1)-Dimensional Discrete Models by : Fritz Gesztesy
Download or read book Soliton Equations and Their Algebro-Geometric Solutions: Volume 2, (1+1)-Dimensional Discrete Models written by Fritz Gesztesy and published by Cambridge University Press. This book was released on 2008-09-04 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a partner to Volume 1: Dimensional Continuous Models, this monograph provides a self-contained introduction to algebro-geometric solutions of completely integrable, nonlinear, partial differential-difference equations, also known as soliton equations. The systems studied in this volume include the Toda lattice hierarchy, the Kac-van Moerbeke hierarchy, and the Ablowitz-Ladik hierarchy. An extensive treatment of the class of algebro-geometric solutions in the stationary as well as time-dependent contexts is provided. The theory presented includes trace formulas, algebro-geometric initial value problems, Baker-Akhiezer functions, and theta function representations of all relevant quantities involved. The book uses basic techniques from the theory of difference equations and spectral analysis, some elements of algebraic geometry and especially, the theory of compact Riemann surfaces. The presentation is constructive and rigorous, with ample background material provided in various appendices. Detailed notes for each chapter, together with an exhaustive bibliography, enhance understanding of the main results.
Book Synopsis Arithmetic and Geometry Around Quantization by : Özgür Ceyhan
Download or read book Arithmetic and Geometry Around Quantization written by Özgür Ceyhan and published by Springer Science & Business Media. This book was released on 2010-01-12 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises both research and survey articles originating from the conference on Arithmetic and Geometry around Quantization held in Istanbul in 2006. A wide range of topics related to quantization are covered, thus aiming to give a glimpse of a broad subject in very different perspectives.
Book Synopsis Lie Groups, Physics, and Geometry by : Robert Gilmore
Download or read book Lie Groups, Physics, and Geometry written by Robert Gilmore and published by Cambridge University Press. This book was released on 2008-01-17 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text. The relation between Lie group theory and algorithms for solving ordinary differential equations is presented and shown to be analogous to the relation between Galois groups and algorithms for solving polynomial equations. Other chapters are devoted to differential geometry, relativity, electrodynamics, and the hydrogen atom. Problems are given at the end of each chapter so readers can monitor their understanding of the materials. This is a fascinating introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering, as well as researchers in these fields.
Book Synopsis Random Matrix Theory by : Percy Deift
Download or read book Random Matrix Theory written by Percy Deift and published by American Mathematical Soc.. This book was released on 2009-01-01 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book features a unified derivation of the mathematical theory of the three classical types of invariant random matrix ensembles-orthogonal, unitary, and symplectic. The authors follow the approach of Tracy and Widom, but the exposition here contains a substantial amount of additional material, in particular, facts from functional analysis and the theory of Pfaffians. The main result in the book is a proof of universality for orthogonal and symplectic ensembles corresponding to generalized Gaussian type weights following the authors' prior work. New, quantitative error estimates are derived." --Book Jacket.
Book Synopsis Analysis And Mathematical Physics by : Shaun Bullett
Download or read book Analysis And Mathematical Physics written by Shaun Bullett and published by World Scientific. This book was released on 2016-12-22 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a concise reference book on analysis and mathematical physics, leading readers from a foundation to advanced level understanding of the topic. This is the perfect text for graduate or PhD mathematical-science students looking for support in topics such as distributions, Fourier transforms and microlocal analysis, C* Algebras, value distribution of meromorphic functions, noncommutative differential geometry, differential geometry and mathematical physics, mathematical problems of general relativity, and special functions of mathematical physics.Analysis and Mathematical Physics is the sixth volume of the LTCC Advanced Mathematics Series. This series is the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Edited by the three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines while also covering specialized key areas.
Book Synopsis Oxford Users' Guide to Mathematics by : Eberhard Zeidler
Download or read book Oxford Users' Guide to Mathematics written by Eberhard Zeidler and published by Oxford University Press. This book was released on 2004-08-19 with total page 1309 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Oxford Users' Guide to Mathematics is one of the leading handbooks on mathematics available. It presents a comprehensive modern picture of mathematics and emphasises the relations between the different branches of mathematics, and the applications of mathematics in engineering and the natural sciences. The Oxford User's Guide covers a broad spectrum of mathematics starting with the basic material and progressing on to more advanced topics that have come to the fore in the last few decades. The book is organised into mathematical sub-disciplines including analysis, algebra, geometry, foundations of mathematics, calculus of variations and optimisation, theory of probability and mathematical statistics, numerical mathematics and scientific computing, and history of mathematics. The book is supplemented by numerous tables on infinite series, special functions, integrals, integral transformations, mathematical statistics, and fundamental constants in physics. It also includes a comprehensive bibliography of key contemporary literature as well as an extensive glossary and index. The wealth of material, reaching across all levels and numerous sub-disciplines, makes The Oxford User's Guide to Mathematics an invaluable reference source for students of engineering, mathematics, computer science, and the natural sciences, as well as teachers, practitioners, and researchers in industry and academia.
Book Synopsis Mathematics of Complexity and Dynamical Systems by : Robert A. Meyers
Download or read book Mathematics of Complexity and Dynamical Systems written by Robert A. Meyers and published by Springer Science & Business Media. This book was released on 2011-10-05 with total page 1885 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.
Book Synopsis Algebraic Bethe Ansatz And Correlation Functions: An Advanced Course by : Nikita Slavnov
Download or read book Algebraic Bethe Ansatz And Correlation Functions: An Advanced Course written by Nikita Slavnov and published by World Scientific. This book was released on 2022-05-12 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is unlikely that today there is a specialist in theoretical physics who has not heard anything about the algebraic Bethe ansatz. Over the past few years, this method has been actively used in quantum statistical physics models, condensed matter physics, gauge field theories, and string theory.This book presents the state-of-the-art research in the field of algebraic Bethe ansatz. Along with the results that have already become classic, the book also contains the results obtained in recent years. The reader will get acquainted with the solution of the spectral problem and more complex problems that are solved using this method. Various methods for calculating scalar products and form factors are described in detail. Special attention is paid to applying the algebraic Bethe ansatz to the calculation of the correlation functions of quantum integrable models. The book also elaborates on multiple integral representations for correlation functions and examples of calculating the long-distance asymptotics of correlations.This text is intended for advanced undergraduate and postgraduate students, and specialists interested in the mathematical methods of studying physical systems that allow them to obtain exact results.
Book Synopsis Encyclopedia of Ukraine by : Danylo Husar Struk
Download or read book Encyclopedia of Ukraine written by Danylo Husar Struk and published by University of Toronto Press. This book was released on 1993-12-15 with total page 2449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over thirty years in the making, the most comprehensive work in English on Ukraine is now complete: its history, people, geography, economy, and cultural heritage, both in Ukraine and in the diaspora.
Book Synopsis Contemporary Aspects Of Complex Analysis, Differential Geometry And Mathematical Physics - Procs Of The 7th Int'l Workshop On Complex Structures And Vector Fields by : Stancho Dimiev
Download or read book Contemporary Aspects Of Complex Analysis, Differential Geometry And Mathematical Physics - Procs Of The 7th Int'l Workshop On Complex Structures And Vector Fields written by Stancho Dimiev and published by World Scientific. This book was released on 2005-07-04 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the cutting-edge contributions to the Seventh International Workshop on Complex Structures and Vector Fields, which was organized as a continuation of the high successful preceding workshops on similar research.The volume includes works treating ambitious topics in differential geometry, mathematical physics and technology such as Bézier curves in space forms, potential and catastrophy of a soap film, computer-assisted studies of logistic maps, and robotics.
Book Synopsis Complex Quantum Systems by : Heinz Karl Heinrich Siedentop
Download or read book Complex Quantum Systems written by Heinz Karl Heinrich Siedentop and published by World Scientific. This book was released on 2013 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on lectures given during the program Complex Quantum Systems held at the National University of Singapore's Institute for Mathematical Sciences from 17 February to 27 March 2010. It guides the reader through two introductory expositions on large Coulomb systems to five of the most important developments in the field: derivation of mean field equations, derivation of effective Hamiltonians, alternative high precision methods in quantum chemistry, modern many body methods originating from quantum information, and OCo the most complex OCo semirelativistic quantum electrodynamics.These introductions are written by leaders in their fields; amongst them are Volker Bach, Rafael Benguria, Thomas Chen, and Jan Philip Solovej. Together, they fill a gap between current textbooks and the vast modern literature on complex quantum systems.
Book Synopsis Many-body Approaches at Different Scales by : G.G.N Angilella
Download or read book Many-body Approaches at Different Scales written by G.G.N Angilella and published by Springer. This book was released on 2018-03-24 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of invited research and review contributions on recent advances in (mainly) theoretical condensed matter physics, theoretical chemistry, and theoretical physics. The volume celebrates the 90th birthday of N.H. March (Emeritus Professor, Oxford University, UK), a prominent figure in all of these fields. Given the broad range of interests in the research activity of Professor March, who collaborated with a number of eminent scientists in physics and chemistry, the volume embraces quite diverse topics in physics and chemistry, at various dimensions and energy scales. One thread connecting all these topics is correlation in aggregated states of matter, ranging from nuclear physics to molecules, clusters, disordered condensed phases such as the liquid state, and solid state physics, and the various phase transitions, both structural and electronic, occurring therein. A final chapter leaps to an even larger scale of matter aggregation, namely the universe and gravitation. A further no less important common thread is methodological, with the application of theoretical physics and chemistry, particularly density functional theory and statistical field theory, to both nuclear and condensed matter.
Book Synopsis A Mathematical Introduction to Conformal Field Theory by : Martin Schottenloher
Download or read book A Mathematical Introduction to Conformal Field Theory written by Martin Schottenloher and published by Springer. This book was released on 2008-09-11 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of this book gives a self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. The second part surveys some more advanced topics of conformal field theory.
Book Synopsis Recent Research in Polynomials by : Faruk Özger
Download or read book Recent Research in Polynomials written by Faruk Özger and published by BoD – Books on Demand. This book was released on 2023-07-12 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polynomials are incredibly useful mathematical tools that have a wide array of applications. This book provides a comprehensive overview of polynomials and recent developments in the field. It includes ten chapters that address such topics as polynomials-based cyclic coding, Hermite polynomials, Routh polynomials, fitting parametric polynomials with control point coefficients, the thermoelastic wave model, and much more.
Book Synopsis Algebra, Geometry and Mathematical Physics by : Abdenacer Makhlouf
Download or read book Algebra, Geometry and Mathematical Physics written by Abdenacer Makhlouf and published by Springer. This book was released on 2014-06-17 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects the proceedings of the Algebra, Geometry and Mathematical Physics Conference, held at the University of Haute Alsace, France, October 2011. Organized in the four areas of algebra, geometry, dynamical symmetries and conservation laws and mathematical physics and applications, the book covers deformation theory and quantization; Hom-algebras and n-ary algebraic structures; Hopf algebra, integrable systems and related math structures; jet theory and Weil bundles; Lie theory and applications; non-commutative and Lie algebra and more. The papers explore the interplay between research in contemporary mathematics and physics concerned with generalizations of the main structures of Lie theory aimed at quantization and discrete and non-commutative extensions of differential calculus and geometry, non-associative structures, actions of groups and semi-groups, non-commutative dynamics, non-commutative geometry and applications in physics and beyond. The book benefits a broad audience of researchers and advanced students.
