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University of Toronto Press
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Differential Geometry
Language:
English
Published/Copyright:
1959
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
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Frontmatter
i -
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PREFACE
vii -
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CONTENTS
xi -
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CHAPTER I. PRELIMINARIES
1 -
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CHAPTER II. THEORY OF CURVES
17 -
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CHAPTER III. CONCEPT OF A SURFACE. FIRST FUNDAMENTAL FORM. FOUNDATIONS OF TENSOR CALCULUS
72 -
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CHAPTER IV. SECOND FUNDAMENTAL FORM. GAUSSIAN AND MEAN CURVATURE OF A SURFACE
118 -
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CHAPTER V. GEODESIC CURVATURE AND GEODESICS
154 -
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CHAPTER VI. MAPPINGS
175 -
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CHAPTER VII. ABSOLUTE DIFFERENTIATION AND PARALLEL DISPLACEMENT
219 -
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CHAPTER VIII. SPECIAL SURFACES
243 -
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SUPPLEMENTARY PROBLEMS
301 -
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ANSWERS TO PROBLEMS
320 -
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ANSWERS TO ODD-NUMBERED SUPPLEMENTARY PROBLEMS
347 -
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COLLECTION OF FORMULAE
353 -
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BIBLIOGRAPHY
368 -
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INDEX
373
Publishing information
Pages and Images/Illustrations in book
eBook published on:
December 15, 1959
eBook ISBN:
9781487589455
Pages and Images/Illustrations in book
Main content:
394
This book is in the series
eBook ISBN:
9781487589455
Audience(s) for this book
College/higher education;Professional and scholarly;
