Mostly surfaces

Author(s)

• Schwartz, Richard Evan

Bibliographic Information

Mostly surfaces

Richard Evan Schwartz

（Student mathematical library, v. 60）

American Mathematical Society, c2011

Note

Includes bibliographical references and index

Description and Table of Contents

Description

This book presents a number of topics related to surfaces, such as Euclidean, spherical and hyperbolic geometry, the fundamental group, universal covering surfaces, Riemannian manifolds, the Gauss-Bonnet Theorem, and the Riemann mapping theorem. The main idea is to get to some interesting mathematics without too much formality. The book also includes some material only tangentially related to surfaces, such as the Cauchy Rigidity Theorem, the Dehn Dissection Theorem, and the Banach-Tarski Theorem. The goal of the book is to present a tapestry of ideas from various areas of mathematics in a clear and rigourous yet informal and friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra, and some knowledge of complex analysis.

by "Nielsen BookData"

Details

• NCID: BB06114295
• ISBN:
  • 9780821853689
• LCCN: 2011005544
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Providence, R.I.
• Pages/Volumes: xiii, 314 p.
• Size: 22 cm
• Classification:
  • LCC : QA571
  • DC22 : 516.3/52
• Subject Headings:
  • LCSH : Hypersurfaces
  • LCSH : Riemann surfaces
  • LCSH : Surfaces, Algebraic
  • FREE : Algebraic geometry -- Computational aspects in algebraic geometry -- Surfaces, hypersurfaces. msc
  • FREE : Functions of a complex variable -- Riemann surfaces -- Compact Riemann surfaces and uniformization. msc
  • FREE : Several complex variables and analytic spaces -- Compact analytic spaces -- Compact surfaces. msc
  • FREE : Dynamical systems and ergodic theory -- Low-dimensional dynamical systems -- Homeomorphisms and diffeomorphisms of planes and surfaces. msc
  • FREE : Differential geometry -- Classical differential geometry -- Surfaces in Euclidean space. msc
  • FREE : Geometry -- Real and complex geometry -- Polyhedra and polytopes; regular figures, division of spaces. msc
  • FREE : Several complex variables and analytic spaces -- Complex manifolds -- Hyperbolic and Kobayashi hyperbolic manifolds. msc
• Parent Bibliography ID:
  • BA42504671