Geometry of Surfaces

This text provides the student with the knowledge of a geometry of greater scope than the classical geometry taught today, which is no longer an adequate basis for mathematics or physics, both of which are becoming increasingly geometric.

Geometry of Surfaces

The geometry of surfaces is an ideal starting point for learning geometry, for, among other reasons, the theory of surfaces of constant curvature has maximal connectivity with the rest of mathematics. This text provides the student with the knowledge of a geometry of greater scope than the classical geometry taught today, which is no longer an adequate basis for mathematics or physics, both of which are becoming increasingly geometric. It includes exercises and informal discussions.

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Geometry of Surfaces
Language: en
Pages: 236
Authors: John Stillwell
Categories: Mathematics
Type: BOOK - Published: 1995-02-03 - Publisher: Springer Science & Business Media

The geometry of surfaces is an ideal starting point for learning geometry, for, among other reasons, the theory of surfaces of constant curvature has maximal connectivity with the rest of mathematics. This text provides the student with the knowledge of a geometry of greater scope than the classical geometry taught
Geometry of Surfaces
Language: en
Pages: 194
Authors: Birger Iversen
Categories: Curvature
Type: BOOK - Published: 1994 - Publisher:

Books about Geometry of Surfaces
Differential Geometry of Curves and Surfaces
Language: en
Pages: 528
Authors: Manfredo P. do Carmo
Categories: Mathematics
Type: BOOK - Published: 2016-12-14 - Publisher: Courier Dover Publications

One of the most widely used texts in its field, this volume's clear, well-written exposition is enhanced by many examples and exercises, some with hints and answers. 1976 edition.
Differential Geometry
Language: en
Pages: 380
Authors: Wolfgang Kühnel
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

Our first knowledge of differential geometry usually comes from the study of the curves and surfaces in I\!\!R^3 that arise in calculus. Here we learn about line and surface integrals, divergence and curl, and the various forms of Stokes' Theorem. If we are fortunate, we may encounter curvature and such
Painleve Equations in the Differential Geometry of Surfaces
Language: en
Pages: 120
Authors: Alexander I. Bobenko TU Berlin, Ulrich Eitner
Categories: Mathematics
Type: BOOK - Published: 2003-07-01 - Publisher: Springer

This book brings together two different branches of mathematics: the theory of Painlev and the theory of surfaces. Self-contained introductions to both these fields are presented. It is shown how some classical problems in surface theory can be solved using the modern theory of Painlev equations. In particular, an essential