Klik op een omslag om naar Google Boeken te gaan.
Bezig met laden... Introduction to Smooth Manifoldsdoor John M. Lee
Geen Bezig met laden...
Meld je aan bij LibraryThing om erachter te komen of je dit boek goed zult vinden. Op dit moment geen Discussie gesprekken over dit boek. geen besprekingen | voeg een bespreking toe
Onderdeel van de uitgeversreeks(en)
Verwijzingen naar dit werk in externe bronnen. Wikipedia in het Engels (15)This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research—smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more. The approach is as concrete as possible, with pictures and intuitive discussions of how one should think geometrically about the abstract concepts, while making full use of the powerful tools that modern mathematics has to offer. This second edition has been extensively revised and clarified, and the topics have been substantially rearranged. The book now introduces the two most important analytic tools, the rank theorem and the fundamental theorem on flows, much earlier so that they can be used throughout the book. A few new topics have been added, notably Sard’s theorem and transversality, a proof that infinitesimal Lie group actions generate global group actions, a more thorough study of first-order partial differential equations, a brief treatment of degree theory for smooth maps between compact manifolds, and an introduction to contact structures. Prerequisites include a solid acquaintance with general topology, the fundamental group, and covering spaces, as well as basic undergraduate linear algebra and real analysis. Geen bibliotheekbeschrijvingen gevonden. |
Actuele discussiesGeenPopulaire omslagen
Google Books — Bezig met laden... GenresDewey Decimale Classificatie (DDC)514.3Natural sciences and mathematics Mathematics Topology Topology of SpaceLC-classificatieWaarderingGemiddelde:
Ben jij dit?Word een LibraryThing Auteur. |
By all accounts, this and Dr. Lee's other two books on manifolds are exceptionally well-written. But my copies arrived from Amazon this week, and, unfortunately, Amazon and Springer have decided to replace the crisp offset-printing of earlier printings by lower quality digitally-printed versions, probably as a cost-cutting measure.
If you care about how books look, I'd suggest trying Amazon marketplace or small retailers elsewhere to increase your odds of getting a superior copy from an earlier printing. ( )