Symmetry in Mechanics: A Gentle, Modern Introduction

Read * Symmetry in Mechanics: A Gentle, Modern Introduction PDF by ! Stephanie Frank Singer eBook or Kindle ePUB Online free. Symmetry in Mechanics: A Gentle, Modern Introduction Five Stars very needed book for specialists. A Customer said A welcome book. There are a number of books available on the geometric view of physics (Classical Mathematical Physics, by Thirring, The Geometry of Physics, by Frankel, and Foundations of Mechanics, by Abraham & Marsden). The size, level of sophistication and extensive background assumed by these books can be very. A nice introduction to modern methods according to LB. I think the previous review is a bit harsh, and that the book

Symmetry in Mechanics: A Gentle, Modern Introduction

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Rating : 4.98 (943 Votes)
Asin : 0817641459
Format Type : paperback
Number of Pages : 193 Pages
Publish Date : 2014-01-25
Language : English

DESCRIPTION:

This text introduces some basic constructs of modern symplectic geometry in the context of an old celestial mechanics problem, the two-body problem. Dense and efficient texts play a crucial role in the education of budding (and budded) mathematicians and physicists. 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. This book does not presume to improve on the classics in that genre. We present the derivation of Kepler's laws of planetary motion from Newton's laws of gravitation, first in the style of an undergraduate physics course, and x Preface then again in the language of symplectic geometry. "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

Singer uses this example from classical physics throughout the book as a vehicle for explaining the concepts of differential geometry and for illustrating their use. The author shows how fundamental concepts of symplectic geometry implicitly occur in mechanics the mathematical presentation is ingenious and subtle. Those educated in traditional mechanics will acquire from reading it knowledge of modern mathematics hidden beyond traditional concepts in the realm of celestial mechanics, and pure mathematicians will understand how their discipline enters into practical problems. These ideas and

Five Stars very needed book for specialists. A Customer said A welcome book. There are a number of books available on the "geometric" view of physics (Classical Mathematical Physics, by Thirring, The Geometry of Physics, by Frankel, and Foundations of Mechanics, by Abraham & Marsden). The size, level of sophistication and extensive background assumed by these books can be very. "A nice introduction to modern methods" according to LB. I think the previous review is a bit harsh, and that the book's intents are not what this reviewer expected. I don't think it was the author's intent to write a comprehensive treatise on the subject. The book simply aims at introducing undergraduate students to the use of symmetry in simplifying the a

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