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Titlebook: Applications of Lie Groups to Differential Equations; Peter J. Olver Textbook 1993Latest edition Springer-Verlag New York, Inc. 1993 CON_D

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期刊全稱Applications of Lie Groups to Differential Equations
影響因子2023Peter J. Olver
視頻videohttp://file.papertrans.cn/160/159483/159483.mp4
學科分類Graduate Texts in Mathematics
圖書封面Titlebook: Applications of Lie Groups to Differential Equations;  Peter J. Olver Textbook 1993Latest edition Springer-Verlag New York, Inc. 1993 CON_D
影響因子Symmetry methods have long been recognized to be of great importance for the study of the differential equations. This book provides a solid introduction to those applications of Lie groups to differential equations which have proved to be useful in practice. The computational methods are presented so that graduate students and researchers can readily learn to use them. Following an exposition of the applications, the book develops the underlying theory. Many of the topics are presented in a novel way, with an emphasis on explicit examples and computations. Further examples, as well as new theoretical developments, appear in the exercises at the end of each chapter.
Pindex Textbook 1993Latest edition
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書目名稱Applications of Lie Groups to Differential Equations影響因子(影響力)




書目名稱Applications of Lie Groups to Differential Equations影響因子(影響力)學科排名




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Die Begriffe ?Linie“ und ?Fl?che“s of conservation of energy, conservation of momentum and so on, plays an important role in the analysis of basic properties of the solutions. In 1918, Emmy Noether proved the remarkable result that for systems arising from a variational principle, every conservation law of the system comes from a c
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Die Begriffe ?Linie“ und ?Fl?che“ing motion of rigid bodies, celestial mechanics, quantization theory and so on. More recently, Hamiltonian methods have become increasingly important in the study of the equations of continuum mechanics, including fluids, plasmas and elastic media. In this book, we are concerned with just one aspect
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Nichtlineare DifferentialgleichungenConsequently, smooth solutions will satisfy the Euler-Lagrange equations for the relevant functional and one can employ the group-theoretic methods in the Lagrangian framework discussed in Chapters 4 and 5. However, when presented with the full dynamical problem, one encounters systems of evolution
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978-0-387-95000-6Springer-Verlag New York, Inc. 1993
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