Introduction to Smooth Manifolds 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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John M. Lee 作者

Springer

譯者

2012-9-29 出版日期

750 頁數

USD 89.95 價格

Hardcover

Graduate Texts in Mathematics 叢書系列

9781441999818 圖書編碼

Introduction to Smooth Manifolds 在線電子書圖書標籤: 數學 Manifolds 微分幾何流形牛人推薦數學書籍 Topology 幾何經典

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發表於2024-05-16

Introduction to Smooth Manifolds 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Introduction to Smooth Manifolds 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Introduction to Smooth Manifolds 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

Introduction to Smooth Manifolds 在線電子書用戶評價

評分☆☆☆☆☆

For physics students who study GR, manifold, differential geometry，強推Sean Carrol 寫的書。寫的比數學的定義intrinsic非常多。簡單到根本不可能看不懂。https://douc.cc/4jbB7Y

評分☆☆☆☆☆

基本概念解釋得很清楚。和黎曼幾何或者黎曼麯麵搭配著看可能更好。

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很詳細適閤入門

評分☆☆☆☆☆

前16章，清晰完整

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很詳細適閤入門

Introduction to Smooth Manifolds 在線電子書著者簡介

Introduction to Smooth Manifolds 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Introduction to Smooth Manifolds 在線電子書圖書描述

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.

Introduction to Smooth Manifolds 在線電子書下載 mobi epub pdf txt 在線電子書下載

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