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<図書>
Functional differential geometry

責任表示 Gerald Jay Sussman and Jack Wisdom with Will Farr
データ種別 図書
出版者 Cambridge, Mass. : MIT Press
出版年 c2013
本文言語 英語
大きさ xx, 228 p. ; 24 cm
概要 Physics is naturally expressed in mathematical language. Students new to the subject must simultaneously learn an idiomatic mathematical language and the content that is expressed in that language. It...is as if they were asked to read Les Misérables while struggling with French grammar. This book offers an innovative way to learn the differential geometry needed as a foundation for a deep understanding of general relativity or quantum field theory as taught at the college level. The approach taken by the authors (and used in their classes at MIT for many years) differs from the conventional one in several ways, including an avoidance of the use of traditional index notation for tensors in favor of a semantically richer language of vector fields and differential forms. But the single biggest difference is the authors' integration of computer programming into their explanations. By programming a computer to interpret a formula, the student soon learns whether or not a formula is correct. Students are led to improve their program, and as a result improve their understanding. Book jacket.続きを見る

所蔵情報


理系図3F 数理独自 033212013004233 SUSS/20/3 2013

書誌詳細

一般注記 Includes bibliographical references (p. [217]-218) and index
著者標目 *Sussman, Gerald Jay
Wisdom, Jack
Farr, Will
件 名 LCSH:Geometry, Differential
LCSH:Functional differential equations
LCSH:Mathematical physics
分 類 LCC:QC20.7.D52
DC23:516.3/6
書誌ID 1001514530
ISBN 9780262019347
NCID BB13302273
巻冊次 ISBN:9780262019347
登録日 2013.09.04
更新日 2013.09.04

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