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Author: Farkhad G. Aliev Publisher: CRC Press ISBN: 1000908488 Category : Science Languages : en Pages : 538
Book Description
This book presents mathematical tools to solve partial differential equations, typical of physical problems. It explains in a detailed manner the process of solving the problems that typically arise in the context of physics. Although there are a large number of textbooks on this topic, few go so deep into the topic. One of the original and unique features of this book is emphasis on the mathematical formulation of the problems, as well as the analysis of several alternative ways to solve them. Importantly, the book provides a graphical analysis of the results when appropriate. It describes a wide scope of the problems, with detailed solutions and the methods involved, ranging from cases in one to three dimensions, from Cartesian to polar, cylindrical, and spherical coordinates and includes properties and applications of the Fourier transform to solve partial differential equations.
Author: Farkhad G. Aliev Publisher: CRC Press ISBN: 1000908488 Category : Science Languages : en Pages : 538
Book Description
This book presents mathematical tools to solve partial differential equations, typical of physical problems. It explains in a detailed manner the process of solving the problems that typically arise in the context of physics. Although there are a large number of textbooks on this topic, few go so deep into the topic. One of the original and unique features of this book is emphasis on the mathematical formulation of the problems, as well as the analysis of several alternative ways to solve them. Importantly, the book provides a graphical analysis of the results when appropriate. It describes a wide scope of the problems, with detailed solutions and the methods involved, ranging from cases in one to three dimensions, from Cartesian to polar, cylindrical, and spherical coordinates and includes properties and applications of the Fourier transform to solve partial differential equations.
Author: Sara Benito Pascual Publisher: Lulu.com ISBN: 1291166300 Category : Education Languages : es Pages : 70
Book Description
Libro que refleja la evolución histórica conjunta que han llevado a cabo el análisis y la física; una rama de las matemáticas y una ciencia aparentemente muy diferenciadas. El trabajo cooperativo de físicos y matemáticos han permitido el desarrollo de nuevas tecnologías consideradas en la actualidad casi imprescindibles.
Author: Félix Salazar Bloise Publisher: Springer ISBN: 3662483688 Category : Science Languages : en Pages : 813
Book Description
This book presents the fundamental concepts of electromagnetism through problems with a brief theoretical introduction at the beginning of each chapter. The present book has a strong didactic character. It explains all the mathematical steps and the theoretical concepts connected with the development of the problem. It guides the reader to understand the employed procedures to learn to solve the exercises independently. The exercises are structured in a similar way: The chapters begin with easy problems increasing progressively in the level of difficulty. This book is written for students of physics and engineering in the framework of the new European Plans of Study for Bachelor and Master and also for tutors and lecturers.
Author: P.A. Clarkson Publisher: Springer Science & Business Media ISBN: 940112082X Category : Science Languages : en Pages : 466
Book Description
In the study of integrable systems, two different approaches in particular have attracted considerable attention during the past twenty years. (1) The inverse scattering transform (IST), using complex function theory, which has been employed to solve many physically significant equations, the `soliton' equations. (2) Twistor theory, using differential geometry, which has been used to solve the self-dual Yang--Mills (SDYM) equations, a four-dimensional system having important applications in mathematical physics. Both soliton and the SDYM equations have rich algebraic structures which have been extensively studied. Recently, it has been conjectured that, in some sense, all soliton equations arise as special cases of the SDYM equations; subsequently many have been discovered as either exact or asymptotic reductions of the SDYM equations. Consequently what seems to be emerging is that a natural, physically significant system such as the SDYM equations provides the basis for a unifying framework underlying this class of integrable systems, i.e. `soliton' systems. This book contains several articles on the reduction of the SDYM equations to soliton equations and the relationship between the IST and twistor methods. The majority of nonlinear evolution equations are nonintegrable, and so asymptotic, numerical perturbation and reduction techniques are often used to study such equations. This book also contains articles on perturbed soliton equations. Painlevé analysis of partial differential equations, studies of the Painlevé equations and symmetry reductions of nonlinear partial differential equations. (ABSTRACT) In the study of integrable systems, two different approaches in particular have attracted considerable attention during the past twenty years; the inverse scattering transform (IST), for `soliton' equations and twistor theory, for the self-dual Yang--Mills (SDYM) equations. This book contains several articles on the reduction of the SDYM equations to soliton equations and the relationship between the IST and twistor methods. Additionally, it contains articles on perturbed soliton equations, Painlevé analysis of partial differential equations, studies of the Painlevé equations and symmetry reductions of nonlinear partial differential equations.
Author: Young S. Kim Publisher: Springer ISBN: 3540479015 Category : Science Languages : en Pages : 457
Book Description
The concept of phase space plays a decisive role in the study of the transition from classical to quantum physics. This is particularly the case in areas such as nonlinear dynamics and chaos, geometric quantization and the study of the various semi-classical theories, which are the setting of the present volume. Much of the content is devoted to the study of the Wigner distribution. This volume gives the first complete survey of the progress made by both mathematicians and physicists. It will serve as an excellent reference for further research.
Author: E Verdaguer Publisher: World Scientific ISBN: 9814611492 Category : Cargese, France Languages : en Pages : 446
Book Description
This volume reviews some recent developments and new perspectives in classical and Quantum Gravity. The topics treated at a graduate level range from some new and old problems in General Relativity, algebraic computing, gravitational wave astronomy to some more speculative subjects as the early Universe, Quantum Gravity and Quantum Cosmology.
Author: Antonio L. Zichichi Publisher: Springer Science & Business Media ISBN: 1468410652 Category : Science Languages : en Pages : 739
Book Description
In August 1979 a group of 94 physicists from 60 laboratories in 21 countries met in Erice to attend the 17th Course of the International School of Subnuclear Physics. The countries represented at the School were: Argentina, Australia, Austria, Belgium, Canada, Federal Republic of Germany, France, Hungary, India, Italy, Japan, Korea, the Netherlands, Nor way, Poland, Rumania, Spain, Sweden, the United Kingdom, the United States of America, and Yugoslavia. The School was sponsored by the Italian Ministry of Public Education (MPI), the Italian Ministry of Scientific and Techno logical Research (MRST) , the Sicilian Regional Government, and the Weizman Institute of Science. In the theoretical sessions, as expected, Sidney Coleman's (liN) lectures provided a new masterpiece in his Erice series. Andre Martin lectured on the theory of new particles, R.L. Jaffe on the Bag Hodel and Francis E. Low on quark status at low energy. In the more specialized section we were able to reflect on the problem of asymptotic changes in gauge theory, troubles experienced with instantons and finally on the fate of false vacua, thanks to A. Patrascioiu, R. Petronzio, and H. Kleinert. A quite exceptional event this year was the special QCD session wId_ch I leave the reader to enjoy without further introduction.
Author: Boris A. Kupershmidt Publisher: World Scientific ISBN: 9789810203160 Category : Mathematics Languages : en Pages : 402
Book Description
Some of the most active practitioners in the field of integrable systems have been asked to describe what they think of as the problems and results which seem to be most interesting and important now and are likely to influence future directions. The papers in this collection, representing their authors' responses, offer a broad panorama of the subject as it enters the 1990's.
Author: Maria Paula Martins Serra de Oliveira Publisher: Imprensa da Universidade de Coimbra / Coimbra University Press ISBN: 9726629705 Category : Languages : en Pages : 312
Book Description
Instrumentos Matemáticos complexos permitiram realizar com sucesso tarefas tão distintas como a programação de um voo a Marte, a previsão de resultados eleitorais, a explicação do funcionamento de alguns mecanismos do sistema nervoso, ou a abordagem crítica de obras de arte e de textos literários. Da Ciência à Sociedade, dos grandes avanços técnicos à solidez de uma argumentação lógica, a Matemática constrói Teias de uma imensa flexibilidade resultante do carácter universal da sua linguagem. Neste livro personalidades de diferentes universos dão o seu testemunho sobre a forma como usam as Teias Matemáticas para tecer a sua própria visão do mundo.
Author: Farkhad G. Aliev
Author: Farkhad G. Aliev
Author: Sara Benito Pascual
Author: Félix Salazar Bloise
Author: P.A. Clarkson
Author: Young S. Kim
Author: E Verdaguer
Author: Antonio L. Zichichi
Author: Boris A. Kupershmidt
Author: Maria Paula Martins Serra de Oliveira
Author: 国立国会図書館(Japan)