Differential Geometry: A Geometric Introduction

Author(s) David W. Henderson

Books by Independent Authors, none: 242pp. (2013). DOI: 10.3792/euclid/9781429799843

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Books By Independent Authors

242 pp.

Published: 2013

First available in Project Euclid: 12 May 2014

Digital Object Identifier: 10.3792/euclid/9781429799843

ISBN: 9781429799843

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Front Pages and Photographs

David W. Henderson

Books By Independent Authors, - (2013). https://doi.org/10.3792/euclid/9781429799843-1 Open Access

Contents

David W. Henderson

Books By Independent Authors, v-ix (2013). Open Access

Preface

David W. Henderson

Books By Independent Authors, xi-xiii (2013). https://doi.org/10.3792/euclid/9781429799843-3 Open Access

How to Use Self Study Edition

David W. Henderson

Books By Independent Authors, xiv-xiv (2013). https://doi.org/10.3792/euclid/9781429799843-4 Open Access

Chapter 1. Surfaces and Straightness

David W. Henderson

Books By Independent Authors, 1-24 (2013). https://doi.org/10.3792/euclid/9781429799843-5 Open Access

Chapter 2. Extrinsic Curves

David W. Henderson

Books By Independent Authors, 25-39 (2013). https://doi.org/10.3792/euclid/9781429799843-6 Open Access

Chapter 3. Extrinsic Descriptions of Intrinsic Curvature

David W. Henderson

Books By Independent Authors, 41-48 (2013). https://doi.org/10.3792/euclid/9781429799843-7 Open Access

Chapter 4. Tangent Space, Metric, and Directional Derivative

David W. Henderson

Books By Independent Authors, 49-70 (2013). https://doi.org/10.3792/euclid/9781429799843-8 Open Access

Chapter 5. Area, Parallel Transport and Intrinsic Curvature

David W. Henderson

Books By Independent Authors, 71-82 (2013). https://doi.org/10.3792/euclid/9781429799843-9 Open Access

Chapter 6. Gaussian Curvature Extrinsically Defined

David W. Henderson

Books By Independent Authors, 83-92 (2013). https://doi.org/10.3792/euclid/9781429799843-10 Open Access

Chapter 7. Applications of Gaussian Curvature

David W. Henderson

Books By Independent Authors, 93-103 (2013). https://doi.org/10.3792/euclid/9781429799843-11 Open Access

Chapter 8. Intrinsic Local Descriptions and Manifolds

David W. Henderson

Books By Independent Authors, 105-119 (2013). https://doi.org/10.3792/euclid/9781429799843-12 Open Access

Appendix A. Linear Algebra from a Geometric Point of View

David W. Henderson

Books By Independent Authors, 121-138 (2013). https://doi.org/10.3792/euclid/9781429799843-13 Open Access

Appendix B. Analysis from a Geometric Point of View

David W. Henderson

Books By Independent Authors, 139-140 (2013). https://doi.org/10.3792/euclid/9781429799843-14 Open Access

Appendix C. Computer Scripts

David W. Henderson

Books By Independent Authors, 141-156 (2013). https://doi.org/10.3792/euclid/9781429799843-15 Open Access

Annotated Bibliography

David W. Henderson

Books By Independent Authors, 157-172 (2013). https://doi.org/10.3792/euclid/9781429799843-16 Open Access

Notation Index

David W. Henderson

Books By Independent Authors, 173-173 (2013). https://doi.org/10.3792/euclid/9781429799843-17 Open Access

Subject Index

David W. Henderson

Books By Independent Authors, 175-178 (2013). https://doi.org/10.3792/euclid/9781429799843-18 Open Access

Solutions for Chapter 1

David W. Henderson

Books By Independent Authors, 179-190 (2013). https://doi.org/10.3792/euclid/9781429799843-19 Open Access

Solutions for Chapter 2

David W. Henderson

Books By Independent Authors, 191-198 (2013). https://doi.org/10.3792/euclid/9781429799843-20 Open Access

Solutions for Chapter 3

David W. Henderson

Books By Independent Authors, 199-202 (2013). https://doi.org/10.3792/euclid/9781429799843-21 Open Access

Solutions for Chapter 4

David W. Henderson

Books By Independent Authors, 203-210 (2013). https://doi.org/10.3792/euclid/9781429799843-22 Open Access

Solutions for Chapter 5

David W. Henderson

Books By Independent Authors, 211-218 (2013). https://doi.org/10.3792/euclid/9781429799843-23 Open Access

Solutions for Chapter 6

David W. Henderson

Books By Independent Authors, 219-225 (2013). https://doi.org/10.3792/euclid/9781429799843-24 Open Access

Solutions for Chapter 7

David W. Henderson

Books By Independent Authors, 227-233 (2013). https://doi.org/10.3792/euclid/9781429799843-25 Open Access

Solutions for Chapter 8

David W. Henderson

Books By Independent Authors, 235-242 (2013). https://doi.org/10.3792/euclid/9781429799843-26 Open Access

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