By Stephanie Frank Singer

ISBN-10: 0817641459

ISBN-13: 9780817641450

ISBN-10: 3764341459

ISBN-13: 9783764341459

"And what's the use," inspiration Alice, "of a publication with no images or conversations in it?" -Lewis Carroll This booklet is written for modem undergraduate scholars - now not the precise stu dents that arithmetic professors want for (and who sometimes grace our campuses), however the scholars like many the writer has taught: gifted yet ap preciating evaluate and reinforcement of earlier direction paintings; keen to work flat out, yet difficult context and motivation for the maths they're studying. to fit this viewers, the writer eschews density of issues and potency of presentation in desire of a gentler tone, a coherent tale, digressions on mathe maticians, physicists and their notations, easy examples labored out intimately, and reinforcement of the fundamentals. Dense and effective texts play a very important position within the schooling of budding (and budded) mathematicians and physicists. This publication doesn't presume to enhance at the classics in that style. fairly, it goals to supply these classics with a wide new iteration of appreciative readers. this article introduces a few uncomplicated constructs of contemporary symplectic geometry within the context of an outdated celestial mechanics challenge, the two-body challenge. We current the derivation of Kepler's legislation of planetary movement from Newton's legislation of gravitation, first within the kind of an undergraduate physics direction, and x Preface however within the language of symplectic geometry. No past publicity to symplectic geometry is needed: we introduce and illustrate all valuable con structs.