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An Introduction To Methods Of Complex Analysis And Geometry For Classical Mechanics And Non Linear Waves
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Book Synopsis An Introduction to Methods of Complex Analysis and Geometry for Classical Mechanics and Non-linear Waves by : Daniel Benest
Download or read book An Introduction to Methods of Complex Analysis and Geometry for Classical Mechanics and Non-linear Waves written by Daniel Benest and published by Atlantica Séguier Frontières. This book was released on 1994 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Mathematica GuideBook for Programming by : Michael Trott
Download or read book The Mathematica GuideBook for Programming written by Michael Trott and published by Springer. This book was released on 2013-12-21 with total page 1060 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive, detailed reference provides readers with both a working knowledge of Mathematica in general and a detailed knowledge of the key aspects needed to create the fastest, shortest, and most elegant implementations possible. It gives users a deeper understanding of Mathematica by instructive implementations, explanations, and examples from a range of disciplines at varying levels of complexity. The three volumes -- Programming, Graphics, and Mathematics, total 3,000 pages and contain more than 15,000 Mathematica inputs, over 1,500 graphics, 4,000+ references, and more than 500 exercises. This first volume begins with the structure of Mathematica expressions, the syntax of Mathematica, its programming, graphic, numeric and symbolic capabilities. It then covers the hierarchical construction of objects out of symbolic expressions, the definition of functions, the recognition of patterns and their efficient application, program flows and program structuring, and the manipulation of lists. An indispensible resource for students, researchers and professionals in mathematics, the sciences, and engineering.
Book Synopsis The Kowalevski Property by : Vadim B. Kuznetsov
Download or read book The Kowalevski Property written by Vadim B. Kuznetsov and published by American Mathematical Soc.. This book was released on with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of survey articles on several topics related to the general notion of integrability. It stems from a workshop on ''Mathematical Methods of Regular Dynamics'' dedicated to Sophie Kowalevski. Leading experts introduce corresponding areas in depth. The book provides a broad overview of research, from the pioneering work of the nineteenth century to the developments of the 1970s through the present. The book begins with two historical papers by R. L. Cooke onKowalevski's life and work. Following are 15 research surveys on integrability issues in differential and algebraic geometry, classical complex analysis, discrete mathematics, spinning tops, Painleve equations, global analysis on manifolds, special functions, etc. It concludes with Kowalevski's famouspaper published in Acta Mathematica in 1889, ''Sur le probleme de la rotation d'un corps solide autour d'un point fixe''. The book is suitable for graduate students in pure and applied mathematics, the general mathematical audience studying integrability, and research mathematicians interested in differential and algebraic geometry, analysis, and special functions.
Download or read book Journal of Physics A written by and published by . This book was released on 1997 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on fundamental mathematical and computational methods underpinning physics. Relevant to statistical physics, chaotic and complex systems, classical and quantum mechanics, classical and quantum integrable systems and classical and quantum field theory.
Download or read book Journal of Physics written by and published by . This book was released on 1994 with total page 946 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Physics: Theory And Experiment : Nature, Structure And Properties Of Nonlinear Phenomena - Proceedings Of The First Conference by : Eleonora Alfinito
Download or read book Nonlinear Physics: Theory And Experiment : Nature, Structure And Properties Of Nonlinear Phenomena - Proceedings Of The First Conference written by Eleonora Alfinito and published by World Scientific. This book was released on 1996-06-20 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the proceedings of the Workshop 'Nonlinear Physics. Theory and Experiment' held in Gallipoli (Lecce, Italy) from June 29 to July 7, 1995.The purpose of the Workshop was to bring together scientists whose common interest is the nature, structure and properties of nonlinear phenomena in various areas of physics and applied mathematics.The purpose of the Workshop was to bring together scientists whose common interest is the nature, structure and properties of nonlinear phenomena in various areas of physics and applied mathematics.In fact, topics covered at the Workshop run from nonlinear optics to molecular dynamics, plasma waves, hydrodynamics, quantum electronics and solid state, and from inverse scattering transform methods to dynamical systems including integrability, hamiltonian structures, geometrical aspects, turbulence and chaos.
Book Synopsis Nonlinear PDE's, Dynamics and Continuum Physics by : J. L. Bona
Download or read book Nonlinear PDE's, Dynamics and Continuum Physics written by J. L. Bona and published by American Mathematical Soc.. This book was released on 2000 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the refereed proceedings of the conference on Nonlinear Partial Differential Equations, Dynamics and Continuum Physics which was held at Mount Holyoke College in Massachusetts, from July 19th to July 23rd, 1998. Models examined derive from a wide range of applications, including elasticity, thermoviscoelasticity, granular media, fluid dynamics, gas dynamics and conservation laws. Mathematical topics include existence theory and stability/instability of traveling waves, asymptotic behavior of solutions to nonlinear wave equations, effects of dissipation, mechanisms of blow-up, well-posedness and regularity, and fractal solutions. The text will be of interest to graduate students and researchers working in nonlinear partial differential equations and applied mathematics.
Book Synopsis The Painlevé Handbook by : Robert M. Conte
Download or read book The Painlevé Handbook written by Robert M. Conte and published by Springer Science & Business Media. This book was released on 2008-11-23 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear differential or difference equations are encountered not only in mathematics, but also in many areas of physics (evolution equations, propagation of a signal in an optical fiber), chemistry (reaction-diffusion systems), and biology (competition of species). This book introduces the reader to methods allowing one to build explicit solutions to these equations. A prerequisite task is to investigate whether the chances of success are high or low, and this can be achieved without any a priori knowledge of the solutions, with a powerful algorithm presented in detail called the Painlevé test. If the equation under study passes the Painlevé test, the equation is presumed integrable. If on the contrary the test fails, the system is nonintegrable or even chaotic, but it may still be possible to find solutions. The examples chosen to illustrate these methods are mostly taken from physics. These include on the integrable side the nonlinear Schrödinger equation (continuous and discrete), the Korteweg-de Vries equation, the Hénon-Heiles Hamiltonians, on the nonintegrable side the complex Ginzburg-Landau equation (encountered in optical fibers, turbulence, etc), the Kuramoto-Sivashinsky equation (phase turbulence), the Kolmogorov-Petrovski-Piskunov equation (KPP, a reaction-diffusion model), the Lorenz model of atmospheric circulation and the Bianchi IX cosmological model. Written at a graduate level, the book contains tutorial text as well as detailed examples and the state of the art on some current research.
Book Synopsis Teoreticheskai︠a︡ i matematicheskai︠a︡ fizika by :
Download or read book Teoreticheskai︠a︡ i matematicheskai︠a︡ fizika written by and published by . This book was released on 1994 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Journal of Nonlinear Mathematical Physics Vol. 14 by :
Download or read book Journal of Nonlinear Mathematical Physics Vol. 14 written by and published by atlantis press. This book was released on with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Surveys in Applied Mathematics by : Mark I. Freidlin
Download or read book Surveys in Applied Mathematics written by Mark I. Freidlin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 2 offers three in-depth articles covering significant areas in applied mathematics research. Chapters feature numerous illustrations, extensive background material and technical details, and abundant examples. The authors analyze nonlinear front propagation for a large class of semilinear partial differential equations using probabilistic methods; examine wave localization phenomena in one-dimensional random media; and offer an extensive introduction to certain model equations for nonlinear wave phenomena.
Book Synopsis The Painlevé Handbook by : Robert Conte
Download or read book The Painlevé Handbook written by Robert Conte and published by Springer Nature. This book was released on 2020-11-07 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, now in its second edition, introduces the singularity analysis of differential and difference equations via the Painlevé test and shows how Painlevé analysis provides a powerful algorithmic approach to building explicit solutions to nonlinear ordinary and partial differential equations. It is illustrated with integrable equations such as the nonlinear Schrödinger equation, the Korteweg-de Vries equation, Hénon-Heiles type Hamiltonians, and numerous physically relevant examples such as the Kuramoto-Sivashinsky equation, the Kolmogorov-Petrovski-Piskunov equation, and mainly the cubic and quintic Ginzburg-Landau equations. Extensively revised, updated, and expanded, this new edition includes: recent insights from Nevanlinna theory and analysis on both the cubic and quintic Ginzburg-Landau equations; a close look at physical problems involving the sixth Painlevé function; and an overview of new results since the book’s original publication with special focus on finite difference equations. The book features tutorials, appendices, and comprehensive references, and will appeal to graduate students and researchers in both mathematics and the physical sciences.
Book Synopsis Journal of Nonlinear Mathematical Physics by :
Download or read book Journal of Nonlinear Mathematical Physics written by and published by atlantis press. This book was released on with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physics Letters written by and published by . This book was released on 1996 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: General physics, atomic physics, molecular physics, and solid state physics.
Author :Yvette Kosmann-Schwarzbach Publisher :Springer Science & Business Media ISBN 13 :9783540206309 Total Pages :358 pages Book Rating :4.2/5 (63 download)
Book Synopsis Integrability of Nonlinear Systems by : Yvette Kosmann-Schwarzbach
Download or read book Integrability of Nonlinear Systems written by Yvette Kosmann-Schwarzbach and published by Springer Science & Business Media. This book was released on 2004-02-17 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lectures that comprise this volume constitute a comprehensive survey of the many and various aspects of integrable dynamical systems. The present edition is a streamlined, revised and updated version of a 1997 set of notes that was published as Lecture Notes in Physics, Volume 495. This volume will be complemented by a companion book dedicated to discrete integrable systems. Both volumes address primarily graduate students and nonspecialist researchers but will also benefit lecturers looking for suitable material for advanced courses and researchers interested in specific topics.
Download or read book Proceedings written by and published by . This book was released on 1996 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Chaos and Diffusion in Hamiltonian Systems by :
Download or read book Chaos and Diffusion in Hamiltonian Systems written by and published by Atlantica Séguier Frontières. This book was released on 1995 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
