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Differential Geometry
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.
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Yes, you can access Differential Geometry by Erwin Kreyszig in PDF and/or ePUB format, as well as other popular books in Mathematics & Education General. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- 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