Lectures on Differential Geometry (1版)

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【簡介】 This book presents a concise introduction to differential geometry. It is aimed at advanced undergraduate students and first year graduate students who wish to have a basic solid knowledge of the subject, and it can serve as a starting point for more advanced reading. The book is organized into lectures, so it can easily be used as a textbook for a beginning graduate-level course in differential geometry. 【目錄】

Introduction to Differential Geometry with Tensor Applications

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Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts

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A First Course in Differential Geometry : Surfaces in Euclidean Space (1版)

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書名：A First Course in Differential Geometry: Surfaces in Euclidean Space 作者：Lyndon Woodward 出版社：Cambridge 出版日期：2019/00/00 ISBN：9781108441025 目錄 Table of Contents Preface 1. Curves in Rn 2. Surfaces in Rn 3. Tangent planes and the first fundamental form 4. Smooth maps 5. Measuring how surfaces curve 6. The Theorema Egregium 7. Geodesic curvature and geodesics 8. The Gauss–Bonnet theorem 9. Minimal and CMC surfaces 10. Hints or answers to some exercises Index.