Introduction to Geometry and Topology

Автор: Werner Ballmann, Walker Stern

Език:

Корици: С меки корици

Издател: Birkhauser Verlag AG

Наличност: Външен склад

Изпращаме след 5-8 дни

51.72 € 101.16 лв

The book provides an introduction to topology, differential topology, and differential geometry. It...

Информация за книгата

Автор

Werner Ballmann, Walker Stern

Език

Английски език

Корици

Книга - С меки корици

Издадена

2018

страници

169

EAN

9783034809825

ISBN

3034809824

Enbook ID

19251040

Издател

Birkhauser Verlag AG

Теглоt

294

Размери

154 x 232 x 11

Пълно описание

The book provides an introduction to topology, differential topology, and differential geometry. It is based on manuscripts that have been tested in different lecture cycles. The first chapter provides basic concepts and results from the theory of theorems. An exception to this is the Jordanian curvature, which is proved for polygons and a first idea of what kind of deeper topological problems are. In the second chapter, manifolds and groups are introduced and illustrated by a series of examples. Tangential and vector bundles, differentials, vector fields and Liesche brackets of vector fields are also discussed. This discussion is further deepened in the third chapter, in which de Rham's cohomology and the oriented integral are introduced, and the Brouwer's fixed point theorem, the Jordan-Brouwer's decomposition theorem, and the integral formula of Stokes. The final fourth chapter is devoted to the fundamentals of differential geometry. Along the development lines, which have traversed the geometry of the curves and submanifolds in Euclidean spaces, the connections and curvatures, the central concepts of differential geometry, are discussed. The Gaussian equations, the version of theorema egregium of Gauss for submanifolds of arbitrary dimension and codimension, form the climax. The book is mainly aimed at mathematics and physics students in the second and third year of studies and is suitable as a template for one- or two-semester lectures.

Може също да ви хареса

Клиенти, които купиха тази книга, купиха също

Най-често търсени

Categories

Authors

Publishers

Продукти

Продукти

Най-често търсени

Categories

Authors

Publishers

Продукти

Продукти

Introduction to Geometry and Topology

Информация за книгата

Пълно описание

Може също да ви хареса

Клиенти, които купиха тази книга, купиха също