Differential Geometry /

Differential Geometry / / Erwin Kreyszig.

This book is intended to meet the need for a text introducing advanced students in mathematics, physics, and engineering to the field of differential geometry. It is self-contained, requiring only a knowledge of the calculus. The material is presented in a simple and understandable but rigorous mann...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter University of Toronto Press eBook-Package Archive 1933-1999
VerfasserIn:
Kreyszig, Erwin,
Place / Publishing House:Toronto : : University of Toronto Press, , [2019]
©1959
Year of Publication:2019
Language:English
Series:Heritage
Online Access:
Physical Description:1 online resource (394 p.)
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Table of Contents:
  • Frontmatter
  • PREFACE
  • CONTENTS
  • CHAPTER I. PRELIMINARIES
  • CHAPTER II. THEORY OF CURVES
  • CHAPTER III. CONCEPT OF A SURFACE. FIRST FUNDAMENTAL FORM. FOUNDATIONS OF TENSOR CALCULUS
  • CHAPTER IV. SECOND FUNDAMENTAL FORM. GAUSSIAN AND MEAN CURVATURE OF A SURFACE
  • CHAPTER V. GEODESIC CURVATURE AND GEODESICS
  • CHAPTER VI. MAPPINGS
  • CHAPTER VII. ABSOLUTE DIFFERENTIATION AND PARALLEL DISPLACEMENT
  • CHAPTER VIII. SPECIAL SURFACES
  • SUPPLEMENTARY PROBLEMS
  • ANSWERS TO PROBLEMS
  • ANSWERS TO ODD-NUMBERED SUPPLEMENTARY PROBLEMS
  • COLLECTION OF FORMULAE
  • BIBLIOGRAPHY
  • INDEX

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