# krainaksiazek structures on differentiable manifolds and its submanifolds 20124271

- znaleziono 3 produkty w 2 sklepach

### Structures On Differentiable Manifolds And Its Submanifolds

**Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>Geometry**

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Sklep: Gigant.pl

### Structures On Differentiable Manifolds and Its Submanifolds LAP Lambert Academic Publishing

**Książki / Literatura obcojęzyczna**

Differential geometry is a wide domain of modern mathematics, whose significance is increasing at present. The theory of structures on manifolds is very interesting topic of modern differential geometry. The differential geometric aspects of submanifolds of manifolds with certain structures are vast and very fruitful fields for Riemannian geometry. The book is intended to serve the researchers and post graduate students at various Universities who are interested in the field of differential geometry. "Structures On Differentiable Manifolds and Its Submanifolds" discusses the theory of various structures on differentiable manifolds and its submanifolds.The global treatment of coordinate free method is followed to derive the results. The lucid presentation of the contents will certainly serve the purpose for which it is meant.

Sklep: Libristo.pl

### Introduction to Smooth Manifolds Springer

**Książki / Literatura obcojęzyczna**

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.

Sklep: Libristo.pl

Sklepy zlokalizowane w miastach: Warszawa, Kraków, Łódź, Wrocław, Poznań, Gdańsk, Szczecin, Bydgoszcz, Lublin, Katowice

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