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Titlebook: Symmetry in Mechanics; A Gentle, Modern Int Stephanie Frank Singer Textbook 2004 Stephanie Frank Singer 2004 Lie group.Lie groups.algebra.c

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发表于 2025-3-21 18:06:32 | 显示全部楼层 |阅读模式
书目名称Symmetry in Mechanics
副标题A Gentle, Modern Int
编辑Stephanie Frank Singer
视频video
图书封面Titlebook: Symmetry in Mechanics; A Gentle, Modern Int Stephanie Frank Singer Textbook 2004 Stephanie Frank Singer 2004 Lie group.Lie groups.algebra.c
描述"And what is the use," thought Alice, "of a book without pictures or conversations in it?" -Lewis Carroll This book is written for modem undergraduate students - not the ideal stu­ dents that mathematics professors wish for (and who occasionally grace our campuses), but the students like many the author has taught: talented but ap­ preciating review and reinforcement of past course work; willing to work hard, but demanding context and motivation for the mathematics they are learning. To suit this audience, the author eschews density of topics and efficiency of presentation in favor of a gentler tone, a coherent story, digressions on mathe­ maticians, physicists and their notations, simple examples worked out in detail, and reinforcement of the basics. Dense and efficient texts play a crucial role in the education of budding (and budded) mathematicians and physicists. This book does not presume to improve on the classics in that genre. Rather, it aims to provide those classics with a large new generation of appreciative readers. This text introduces some basic constructs of modern symplectic geometry in the context of an old celestial mechanics problem, the two-body problem. We pres
出版日期Textbook 2004
关键词Lie group; Lie groups; algebra; classical mechanics; differential geometry; ksa; linear algebra; manifold; s
版次1
doihttps://doi.org/10.1007/978-1-4612-0189-2
isbn_softcover978-0-8176-4145-0
isbn_ebook978-1-4612-0189-2
copyrightStephanie Frank Singer 2004
The information of publication is updating

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https://doi.org/10.1007/978-1-4612-0189-2Lie group; Lie groups; algebra; classical mechanics; differential geometry; ksa; linear algebra; manifold; s
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Preliminaries,Throughout the text the symbol “:=” indicates a defining equality. For example, to define the symbol R. we write
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Bridge to Differential Geometry,Except for a few exercises (marked “optional”), later chapters do not depend crucially on the contents of this chapter. The reader should feel free to skip directly to Chapter 4.
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Symmetries are Lie Group Actions,Every student of physics knows how important symmetries are. Calculations are easier and more enlightening in coordinates that recognize the symmetry of the underlying problem. For instance, calculating the volume of a cylinder is possible in spherical or Cartesian coordinates, but it is much easier in cylindrical coordinates.
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ce validation of computationally predicted miRNAs in citrus, apple, and other fruit crops. Our ongoing research indicates that miR-RACE is also very useful to verify the sequences of putative miRNAs obtained by deep sequencing of small RNA libraries. The protocol of miR-RACE is rapid and can be comp
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