{"product_id":"functional-differential-geometry-paperback","title":"Functional Differential Geometry - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eGerald Jay Sussman\u003c\/b\u003e (Author), \u003cb\u003eJack Wisdom\u003c\/b\u003e (Author), \u003cb\u003eWill Farr\u003c\/b\u003e (With)\u003c\/p\u003e\u003cp\u003e\u003cb\u003eAn explanation of the mathematics needed as a foundation for a deep understanding of general relativity or quantum field theory.\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003ePhysics 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 \u003ci\u003eLes Misérables\u003c\/i\u003e 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. \u003cp\u003e\u003c\/p\u003eThe 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 emphasis on the development of the covariant derivative and 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 biggest single 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.\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003eGerald Jay Sussman is Panasonic Professor of Electrical Engineering at MIT. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eJack Wisdom is Professor of Planetary Science at MIT.\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 248\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.53 x 9 x 6 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e May 27, 2025\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":47337165848825,"sku":"9780262052894","price":99.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/2782\/3097\/files\/gqoqUbC3JW9780262052894.webp?v=1769675298","url":"https:\/\/bookscloud.io\/products\/functional-differential-geometry-paperback","provider":"BooksCloud Book Dropshipping","version":"1.0","type":"link"}