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Norbert A'Campo Topological, Differential and Conformal (Paperback) (UK IMPORT)

Description: Further DetailsTitle: Topological, Differential and Conformal Geometry of SurfacesCondition: NewEAN: 9783030890315ISBN: 9783030890315Edition: 1st ed. 2021Publisher: Springer Nature Switzerland AGFormat: PaperbackRelease Date: 10/28/2021Description: This book provides an introduction to the main geometric structures that are carried by compact surfaces, with an emphasis on the classical theory of Riemann surfaces. It first covers the prerequisites, including the basics of differential forms, the Poincaré Lemma, the Morse Lemma, the classification of compact connected oriented surfaces, Stokes’ Theorem, fixed point theorems and rigidity theorems. There is also a novel presentation of planar hyperbolic geometry. Moving on to more advanced concepts, it covers topics such as Riemannian metrics, the isometric torsion-free connection on vector fields, the Ansatz of Koszul, the Gauss–Bonnet Theorem, and integrability. These concepts are then used for the study of Riemann surfaces. One of the focal points is the Uniformization Theorem for compact surfaces, an elementary proof of which is given via a property of the energy functional. Among numerous other results, there is also a proof of Chow’s Theorem on compact holomorphic submanifolds in complex projective spaces. Based on lecture courses given by the author, the book will be accessible to undergraduates and graduates interested in the analytic theory of Riemann surfaces.Language: EnglishCountry/Region of Manufacture: CHItem Height: 235mmItem Length: 155mmAuthor: Norbert A'CampoGenre: Science Nature & MathBook Series: UniversitextRelease Year: 2021 Missing Information?Please contact us if any details are missing and where possible we will add the information to our listing.

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Book Title: Topological, Differential and Conformal Geometry of Surfaces

Title: Topological, Differential and Conformal Geometry of Surfaces

EAN: 9783030890315

ISBN: 9783030890315

Edition: 1st ed. 2021

Release Date: 10/28/2021

Release Year: 2021

Country/Region of Manufacture: CH

Item Height: 235mm

Genre: Science Nature & Math

Number of Pages: X, 284 Pages

Language: English

Publication Name: Topological, Differential and Conformal Geometry of Surfaces

Publisher: Springer International Publishing A&G

Subject: Geometry / Differential, Topology, Geometry / Algebraic

Publication Year: 2021

Type: Textbook

Item Weight: 16.1 Oz

Item Length: 9.3 in

Subject Area: Mathematics

Author: Norbert A'campo

Item Width: 6.1 in

Series: Universitext Ser.

Format: Trade Paperback

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