عنوان

Introduction to smooth manifolds /

شابک

1441999817

شابک

1441999825

شابک

9781441999818

شابک

9781441999825

شابک اشتباه

1441999817

شابک اشتباه

9781441999818

شماره

b623606

عنوان اصلي

Introduction to smooth manifolds /

نام عام مواد

[Book]

نام نخستين پديدآور

John M. Lee.

وضعيت ويراست

2nd ed.

محل نشرو پخش و غیره

London :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

2012.

نام خاص و کميت اثر

1 online resource

عنوان فروست

Graduate texts in mathematics ;

مشخصه جلد

218

متن يادداشت

Includes bibliographical references and indexes.

متن يادداشت

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.

منبع سفارش / آدرس اشتراک

Springer

عنوان

Introduction to smooth manifolds.

شماره استاندارد بين المللي کتاب و موسيقي

9781441999818

موضوع مستند نشده

Manifolds (Mathematics)

موضوع مستند نشده

Mathematics.

موضوع مستند نشده

Manifolds (Mathematics)

موضوع مستند نشده

MAT012030

موضوع مستند نشده

PBMP

موضوع مستند نشده

PBMP

موضوع مستند نشده

QA

شماره

ويراست

شماره رده

شماره رده

مستند نام اشخاص تاييد نشده

Lee, John M.,1950-

تاريخ عمليات

20201221082716.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

کد کاربرگه

270410

تكميل شده

Y