Introduction to geometry and topology / Werner Ballmann.

Format:

Book

Author/Creator:

Ballmann, Werner, author.

Contributor:

Stern, Walker, translator.

Series:

Compact textbooks in mathematics 2296-4568

Compact textbooks in mathematics, 2296-4568

Standardized Title:

Einführung in die Geometrie und Topology. English

Language:

English

Subjects (All):

Geometry.

Topology.

Physical Description:

x, 169 pages : illustrations (some color) ; 24 cm

Place of Publication:

Cham, Switzerland : Birkhäuser, 2018.

Summary:

This book provides an introduction to topology, differential topology, and differential geometry. It is based on manuscripts refined through use in a variety of lecture courses. The first chapter covers elementary results and concepts from point-set topology. An exception is the Jordan Curve Theorem, which is proved for polygonal paths and is intended to give students a first glimpse into the nature of deeper topological problems.

Contents:

I. First Steps in the Topology

II. Manifolds

III. Differential Forms and Cohomology

IV. The Geometry of Submanifolds

A. Alternating Multilinear Forms

B. Cochain Complexes

Bibliography

Index.

Notes:

Includes bibliographical references (pages 163-164) and index.

Other Format:

Online version: Ballmann, Werner. Einführung in die Geometrie und Topology. English. Introduction to geometry and topology.

ISBN:

3034809824

9783034809825

OCLC:

1030913407

Publisher Number:

99996448002