Mathematical Physics 2000
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Mathematical Physics 2000
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Author : A. S. Fokas
language : en
Publisher: World Scientific Publishing Company
Release Date : 2000-01-01
Mathematical Physics 2000 written by A. S. Fokas and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-01 with Mathematics categories.
Mathematical physics has made enormous strides over the past few decades, with the emergence of many new disciplines and with revolutionary advances in old disciplines. One of the especially interesting features is the link between developments in mathematical physics and in pure mathematics. Many of the exciting advances in mathematics owe their origin to mathematical physics -- superstring theory, for example, has led to remarkable progress in geometry -- while very pure mathematics, such as number theory, has found unexpected applications. The beginning of a new millennium is an appropriate time to survey the present state of the field and look forward to likely advances in the future. In this book, leading experts give personal views on their subjects and on the wider field of mathematical physics. The topics covered range widely over the whole field, from quantum field theory to turbulence, from the classical three-body problem to non-equilibrium statistical mechanics.
Physics And Combinatorics 2000
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Author : Anatol N. Kirillov
language : en
Publisher: World Scientific
Release Date : 2001
Physics And Combinatorics 2000 written by Anatol N. Kirillov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
The Nagoya 2000 International Workshop gathered together a group of scientists actively working in combinatorics, representation theory, special functions, number theory and mathematical physics, to acquaint the participants with some basic results in their fields and to discuss existing and possible interactions between the mentioned subjects. This volume constitutes the proceedings of the workshop. Contents: Vanishing Theorems and Character Formulas for the Hilbert Scheme of Points in the Plane (M Haiman); Exclusion Statistics and Chiral Partition Function (K Hikami); On the Spectrum of Dehn Twists in Quantum Teichmller Theory (R Kashaev); Introduction to Tropical Combinatorics (A Kirillov); Transition on Grothendieck Polynomials (A Lascoux); Generalized HAlder''s Theorem for Multiple Gamma Function (M Nishizawa); Quantum Calogero-Moser Models: Complete Integrability for All the Root Systems (R Sasaki); Simplification of Thermodynamic BetheOCoAnsatz Equations (M Takahashi); and other papers. Readership: Researchers and graduates in mathematical physics and combinatorics & graph theory."
Mathematical Physics 2000
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Author : A Fokas
language : en
Publisher: World Scientific
Release Date : 2000-05-05
Mathematical Physics 2000 written by A Fokas and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-05-05 with Science categories.
Mathematical physics has made enormous strides over the past few decades, with the emergence of many new disciplines and with revolutionary advances in old disciplines. One of the especially interesting features is the link between developments in mathematical physics and in pure mathematics. Many of the exciting advances in mathematics owe their origin to mathematical physics — superstring theory, for example, has led to remarkable progress in geometry — while very pure mathematics, such as number theory, has found unexpected applications. The beginning of a new millennium is an appropriate time to survey the present state of the field and look forward to likely advances in the future. In this book, leading experts give personal views on their subjects and on the wider field of mathematical physics. The topics covered range widely over the whole field, from quantum field theory to turbulence, from the classical three-body problem to non-equilibrium statistical mechanics. Contents: Modern Mathematical Physics: What It Should Be (L D Faddeev)New Applications of the Chiral Anomaly (J Fröhlich & B Pedrini)Fluctuations and Entropy Driven Space–Time Intermittency in Navier–Stokes Fluids (G Gallavotti)Superstrings and the Unification of the Physical Forces (M B Green)Questions in Quantum Physics: A Personal View (R Haag)What Good are Quantum Field Theory Infinities? (R Jackiw)Constructive Quantum Field Theory (A Jaffe)Fourier's Law: A Challenge to Theorists (F Bonetto et al.)The “Corpuscular” Structure of the Spectra of Operators Describing Large Systems (R A Minlos)Vortex- and Magneto-Dynamics — A Topological Perspective (H K Moffatt)Gauge Theory: The Gentle Revolution (L O'Raifeartaigh)Random Matrices as Paradigm (L Pastur)Wavefunction Collapse as a Real Gravitational Effect (R Penrose)Schrödinger Operators in the Twenty-First Century (B Simon)The Classical Three-Body Problem — Where is Abstract Mathematics, Physical Intuition, Computational Physics Most Powerful? (H A Posch & W Thirring)Infinite Particle Systems and Their Scaling Limits (S R S Varadhan)Supersymmetry: A Personal View (B Zumino) Readership: Mathematicians and physicists. Keywords:London (GB);Proceedings;Congress;Mathematical Physics
Learning And Teaching Mathematics Using Simulations
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Author : Dieter Röss
language : en
Publisher: Walter de Gruyter
Release Date : 2011-11-14
Learning And Teaching Mathematics Using Simulations written by Dieter Röss and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-14 with Mathematics categories.
Mathematics course with 60 Java-based interactive mathematic simulations by the author Comprehensive and systematically organized collection of 2,000 Java-based physics simulations All simulations are runnable, and can be accessed both on- and offline Visualization of mathematic relationships Facilitates an experiment-based understanding of problems, including suggestions for your own mathematical experiments Calculation procedures can be adjusted in a variety of ways Introduction to simulation techniques with the EJS (Easy Java Simulation) tool Visual interface for simple and transparent modeling and programming Building block library for programming one's own simulations Quick access to simulations from links embedded in the digital text Mathematics is the language of physics and technology. Yet in the age of computers, mathematic skill is not based on mastery of arithmetic. Rather, it depends on understanding relationships in time and space, and expressing them with precise and clear formulas. In this regard, one cannot rely on the rote memorization of rules and formulas - insight and intuitive understanding are crucial. But how can this understanding be achieved in higher mathematics, which depends on abstract concepts such as complex numbers, real and complex infinite series, infinitesimal calculus, 2, 3, and 4 dimensional functions, conformal maps, vectors, and linear and nonlinear ordinary and partial differential equations? The author takes a highly practical approach to facilitating the insight essential for true learning in mathematics. Students can work directly with the simulation programs, can visualize relationships, and creatively interact with the calculation procedures. Proceeding in textbook fashion, the work makes use of a broad palette of multimedia tools, and features numerous interactive calculation programs for mathematical experimentation. Students merely have to select one of the many predefined examples and set the relevant parameters - and in a flash the results are graphically displayed in 2 or 3 dimensions. In addition, the specific functions used can be changed or even newly formulated according to user preferences. For example, a procedure developed for a fourth degree power function for the numerical calculation of zero points can be adapted for use with another function. Each simulation is accompanied by a detailed description, instructions for use, and numerous suggestions for experimentation. The mathematical simulations are based on the Easy Java Simulation (EJS) programming tool. All of the files developed with EJS are completely open and transparent. The user can even draw on the examples as building blocks for the development his or her own calculation procedures. The appendix contains a short introduction to EJS. The work is enriched by a comprehensive collection of cosmological simulations as well as models from the Open Source Physics project, organized by subject area. Intended as a systematic collection of methods and materials for upper-secondary school teachers and as a course for students of physics and mathematics, the work facilitates hands-on and experiment-driven learning in higher mathematics. The print version contains the electronic text and simulations for offline use. For questions concerning download or online access to the simulations, please contact [email protected].
Proceedings Of The Conference Foundations Of Probability And Physics
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Author : A. Khrennikov
language : en
Publisher: World Scientific
Release Date : 2001
Proceedings Of The Conference Foundations Of Probability And Physics written by A. Khrennikov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.
In this volume, leading experts in experimental as well as theoretical physics (both classical and quantum) and probability theory give their views on many intriguing (and still mysterious) problems regarding the probabilistic foundations of physics. The problems discussed during the conference include EinsteinOCoPodolskyOCoRosen paradox, Bell's inequality, realism, nonlocality, role of Kolmogorov model of probability theory in quantum physics, von Mises frequency theory, quantum information, computation, OC quantum effectsOCO in classical physics. Contents: Locality and Bell's Inequality (L Accardi & M Regoli); Refutation of Bell's Theorem (G Adenier); Forcing Discretization and Determination in Quantum History Theories (B Coecke); Some Remarks on Hardy Functions Associated with Dirichlet Series (W Ehm); Ensemble Probabilistic Equilibrium and Non-Equilibrium Thermodynamics without the Thermodynamic Limit (D H E Gross); An Approach to Quantum Probability (S Gudder); Innovation Approach to Stochastic Processes and Quantum Dynamics (T Hida); Origin of Quantum Probabilities (A Khrennikov); OC ComplementarityOCO or Schizophrenia: Is Probability in Quantum Mechanics Information or Onta? (A F Kracklauer); A Probabilistic Inequality for the KochenOCoSpecker Paradox (J-A Larsson); Quantum Stochastics. The New Approach to the Description of Quantum Measurements (E Loubenets); Is Random Event a Core Question? Some Remarks and a Proposal (P Rocchi); Quantum Cryptography in Space and Bell's Theorem (I Volovich); and other papers. Readership: Graduate students and researchers in quantum physics, mathematical physics, theoretical physics, stochastic processes, and probability & statistics."
Physics 2000 And Calculus 2000
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Author : Elisha R. Huggins
language : en
Publisher:
Release Date : 2001-10-01
Physics 2000 And Calculus 2000 written by Elisha R. Huggins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10-01 with categories.
Mathematical Methods For Scientists And Engineers
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Author : Donald Allan McQuarrie
language : en
Publisher: University Science Books
Release Date : 2003
Mathematical Methods For Scientists And Engineers written by Donald Allan McQuarrie and has been published by University Science Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
"Intended for upper-level undergraduate and graduate courses in chemistry, physics, math and engineering, this book will also become a must-have for the personal library of all advanced students in the physical sciences. Comprised of more than 2000 problems and 700 worked examples that detail every single step, this text is exceptionally well adapted for self study as well as for course use."--From publisher description.
Ill Posed And Non Classical Problems Of Mathematical Physics And Analysis
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Author : Mikhail M. Lavrent'ev
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-07-24
Ill Posed And Non Classical Problems Of Mathematical Physics And Analysis written by Mikhail M. Lavrent'ev and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-24 with Mathematics categories.
These proceedings of the international Conference "Ill-Posed and Non-Classical Problems of Mathematical Physics and Analysis", held at the Samarkand State University, Uzbekistan in September 2000 bring together fundamental research articles in the major areas of the numerated fields of analysis and mathematical physics. The book covers the following topics: theory of ill-posed problems inverse problems for differential equations boundary value problems for equations of mixed type integral geometry mathematical modelling and numerical methods in natural sciences
Integrable Systems Topology And Physics
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Author : Martin A. Guest
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Integrable Systems Topology And Physics written by Martin A. Guest and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Ideas and techniques from the theory of integrable systems are playing an increasingly important role in geometry. Thanks to the development of tools from Lie theory, algebraic geometry, symplectic geometry, and topology, classical problems are investigated more systematically. New problems are also arising in mathematical physics. A major international conference was held at the University of Tokyo in July 2000. It brought together scientists in all of the areas influenced by integrable systems. This book is the second of three collections of expository and research articles. This volume focuses on topology and physics. The role of zero curvature equations outside of the traditional context of differential geometry has been recognized relatively recently, but it has been an extraordinarily productive one, and most of the articles in this volume make some reference to it. Symplectic geometry, Floer homology, twistor theory, quantum cohomology, and the structure of special equations of mathematical physics, such as the Toda field equations--all of these areas have gained from the integrable systems point of view and contributed to it. Many of the articles in this volume are written by prominent researchers and will serve as introductions to the topics. It is intended for graduate students and researchers interested in integrable systems and their relations to differential geometry, topology, algebraic geometry, and physics. The first volume from this conference also available from the AMS is Differential Geometry and Integrable Systems, Volume 308 CONM/308 in the Contemporary Mathematics series. The forthcoming third volume will be published by the Mathematical Society of Japan and will be available outside of Japan from the AMS in the Advanced Studies in Pure Mathematics series.
Special Functions In Physics With Matlab
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Author : Wolfgang Schweizer
language : en
Publisher: Springer Nature
Release Date : 2021-03-25
Special Functions In Physics With Matlab written by Wolfgang Schweizer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-25 with Science categories.
This handbook focuses on special functions in physics in the real and complex domain. It covers more than 170 different functions with additional numerical hints for efficient computation, which are useful to anyone who needs to program with other programming languages as well. The book comes with MATLAB-based programs for each of these functions and a detailed html-based documentation. Some of the explained functions are: Gamma and Beta functions; Legendre functions, which are linked to quantum mechanics and electrodynamics; Bessel functions; hypergeometric functions, which play an important role in mathematical physics; orthogonal polynomials, which are largely used in computational physics; and Riemann zeta functions, which play an important role, e.g., in quantum chaos or string theory. The book’s primary audience are scientists, professionals working in research areas of industries, and advanced students in physics, applied mathematics, and engineering.