Differential Geometry

Erwin Kreyszig

Published by University of Toronto Press 1959

Differential Geometry

Erwin Kreyszig

In the series Heritage

https://doi.org/10.3138/9781487589455

Overview
Contents

About this book

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. The material is presented in a simple and understandable but rigorous manner, accompanied by many examples which illustrate the ideas, methods, and results.

Author / Editor information

Kreyszig Erwin :

Erwin Kreyszig (1922-2008) was a professor of mathematics at Carleton University. After retirement from Carleton he was given the title of Distinguished Research Professor and continued to play an active role in the Department, maintaining his office and continuing his research.

Topics

Frontmatter Publicly Available Download PDF	i
PREFACE Publicly Available Download PDF	vii
CONTENTS Publicly Available Download PDF	xi
CHAPTER I. PRELIMINARIES Requires Authentication Unlicensed Licensed Download PDF	1
CHAPTER II. THEORY OF CURVES Requires Authentication Unlicensed Licensed Download PDF	17
CHAPTER III. CONCEPT OF A SURFACE. FIRST FUNDAMENTAL FORM. FOUNDATIONS OF TENSOR CALCULUS Requires Authentication Unlicensed Licensed Download PDF	72
CHAPTER IV. SECOND FUNDAMENTAL FORM. GAUSSIAN AND MEAN CURVATURE OF A SURFACE Requires Authentication Unlicensed Licensed Download PDF	118
CHAPTER V. GEODESIC CURVATURE AND GEODESICS Requires Authentication Unlicensed Licensed Download PDF	154
CHAPTER VI. MAPPINGS Requires Authentication Unlicensed Licensed Download PDF	175
CHAPTER VII. ABSOLUTE DIFFERENTIATION AND PARALLEL DISPLACEMENT Requires Authentication Unlicensed Licensed Download PDF	219
CHAPTER VIII. SPECIAL SURFACES Requires Authentication Unlicensed Licensed Download PDF	243
SUPPLEMENTARY PROBLEMS Requires Authentication Unlicensed Licensed Download PDF	301
ANSWERS TO PROBLEMS Requires Authentication Unlicensed Licensed Download PDF	320
ANSWERS TO ODD-NUMBERED SUPPLEMENTARY PROBLEMS Requires Authentication Unlicensed Licensed Download PDF	347
COLLECTION OF FORMULAE Requires Authentication Unlicensed Licensed Download PDF	353
BIBLIOGRAPHY Requires Authentication Unlicensed Licensed Download PDF	368
INDEX Requires Authentication Unlicensed Licensed Download PDF	373

Language: English
Publisher: University of Toronto Press
Copyright year: 1959
Audience: College/higher education;Professional and scholarly;
Pages
- Main content: 394

eBook

Published: December 15, 1959
ISBN: 9781487589455