The Method Of Equivalence And Its Applications
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The Method Of Equivalence And Its Applications
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Author : Robert B. Gardner
language : en
Publisher: SIAM
Release Date : 1989-01-01
The Method Of Equivalence And Its Applications written by Robert B. Gardner and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Mathematics categories.
The ideas of Elie Cartan are combined with the tools of Felix Klein and Sophus Lie to present in this book the only detailed treatment of the method of equivalence. An algorithmic description of this method, which finds invariants of geometric objects under infinite dimensional pseudo-groups, is presented for the first time. As part of the algorithm, Gardner introduces several major new techniques. In particular, the use of Cartan's idea of principal components that appears in his theory of Repere Mobile, and the use of Lie algebras instead of Lie groups, effectively a linear procedure, provide a tremendous simplification. One must, however, know how to convert from one to the other, and the author provides the Rosetta stone to accomplish this. In complex problems, it is essential to be able to identify natural blocks in group actions and not just individual elements, and prior to this publication, there was no reference to block matrix techniques. The Method of Equivalence and Its Applications details ten diverse applications including Lagrangian field theory, control theory, ordinary differential equations, and Riemannian and conformal geometry. This volume contains a series of lectures, the purpose of which was to describe the equivalence algorithm and to show, in particular, how it is applied to several pedagogical examples and to a problem in control theory called state estimation of plants under feedback. The lectures, and hence the book, focus on problems in real geometry.
Some Applications Of Cartan S Method Of Equivalence To The Geometric Study Of Ordinary And Partial Differential Equations
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Author : Mark Eric Fels
language : en
Publisher:
Release Date : 1993
Some Applications Of Cartan S Method Of Equivalence To The Geometric Study Of Ordinary And Partial Differential Equations written by Mark Eric Fels and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
"We also characterize invariantly under point transformations some equivalence classes of parabolic quasi-linear second order partial differential equations, and examine their point symmetry groups. We are able to make our characterizations by proving a reduction theorem for principal fibre bundles." --
Contributions To The Study Of The Equivalence Problem Of Lie Cartan And Its Applications To Partial And Ordinary Differential Equations
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Author : Niky Kamran
language : en
Publisher:
Release Date : 1989
Contributions To The Study Of The Equivalence Problem Of Lie Cartan And Its Applications To Partial And Ordinary Differential Equations written by Niky Kamran and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Differential equations categories.
Cartan S Equivalence Method And An Application To Second Order Evolution Equations
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Author : Roberto T. Murrillo
language : en
Publisher:
Release Date : 1994
Cartan S Equivalence Method And An Application To Second Order Evolution Equations written by Roberto T. Murrillo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
The Cahn Hilliard Equation Recent Advances And Applications
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Author : Alain Miranville
language : en
Publisher: SIAM
Release Date : 2019-09-09
The Cahn Hilliard Equation Recent Advances And Applications written by Alain Miranville and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-09 with Mathematics categories.
This is the first book to present a detailed discussion of both classical and recent results on the popular Cahn–Hilliard equation and some of its variants. The focus is on mathematical analysis of Cahn–Hilliard models, with an emphasis on thermodynamically relevant logarithmic nonlinear terms, for which several questions are still open. Initially proposed in view of applications to materials science, the Cahn–Hilliard equation is now applied in many other areas, including image processing, biology, ecology, astronomy, and chemistry. In particular, the author addresses applications to image inpainting and tumor growth. Many chapters include open problems and directions for future research. The Cahn-Hilliard Equation: Recent Advances and Applications is intended for graduate students and researchers in applied mathematics, especially those interested in phase separation models and their generalizations and applications to other fields. Materials scientists also will find this text of interest.
Physical Properties Mathematics And Its Application English Version
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Author : Chen Shuxuan
language : en
Publisher: Dorrance Publishing
Release Date : 2020-04-17
Physical Properties Mathematics And Its Application English Version written by Chen Shuxuan and has been published by Dorrance Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-17 with Education categories.
Physical Properties Mathematics and its Application(English Version) By: Chen Shuxuan Chen Shuxuan（陈叔瑄) was born on March 30, 1936 in Fuzhou, Fujian Province. He graduated from the Department of Physics at Xiamen University. He has been engaged in teaching and scientific research for many years in colleges and universities. He has taught courses such as electrician principle, electronic circuit, pulse circuit, digital logic, computer composition principle, computer application, assembly language programming, and so on. Based on many years of teaching experience, he compiled the IBM Microcomputer System and Assembly Language Programming guide which was published by Xiamen University Press in March 1990. In addition to teaching, he has made great efforts to develop the application of scientific theory and technology, participated in the development of many electronic circuits and computer applications projects, and published many research papers and works. Among them, "MM-1000 Friction Testing Machine Microcomputer System" software and hardware development, passed provincial technical appraisal in December 1987.The system plays an important role in the research of wet friction and wear testing technology and it has won the third prize of the Ministry of Electricity. Before retirement, he was an associate professor in the Department of Computer Science, Xiamen University.
Problems Of Life And Mind The Method Of Science And Its Application To Metaphysics The Rules Of Philosophising Psychological Principles The Limitations Of Knowledge
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Author : George Henry Lewes
language : en
Publisher:
Release Date : 1874
Problems Of Life And Mind The Method Of Science And Its Application To Metaphysics The Rules Of Philosophising Psychological Principles The Limitations Of Knowledge written by George Henry Lewes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1874 with Knowledge, Theory of categories.
The Method Of Science And Its Application To Metaphysics The Rules Of Philosophising Psychological Principles The Limitations Of Knowledge
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Author : George Henry Lewes
language : en
Publisher:
Release Date : 1874
The Method Of Science And Its Application To Metaphysics The Rules Of Philosophising Psychological Principles The Limitations Of Knowledge written by George Henry Lewes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1874 with Knowledge, Theory of categories.
The Jackknife The Bootstrap And Other Resampling Plans
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Author : Bradley Efron
language : en
Publisher: SIAM
Release Date : 1982-01-31
The Jackknife The Bootstrap And Other Resampling Plans written by Bradley Efron and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-01-31 with Computers categories.
This monograph connects the jackknife, the bootstrap, and many other related ideas into a unified exposition.
A Practical Guide To Data Structures And Algorithms Using Java
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Author : Sally. A Goldman
language : en
Publisher: CRC Press
Release Date : 2007-08-23
A Practical Guide To Data Structures And Algorithms Using Java written by Sally. A Goldman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-23 with Computers categories.
Although traditional texts present isolated algorithms and data structures, they do not provide a unifying structure and offer little guidance on how to appropriately select among them. Furthermore, these texts furnish little, if any, source code and leave many of the more difficult aspects of the implementation as exercises. A fresh alternative to