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About The Book

In this Second Volume of the five book set, the focus is on the foundations of geometry of curves and intrinsic geometry of surfaces, connections for tensor bundles and general fibre bundles.

Table of Contents

Chapter 1: Curves in the Plane and in Space

Chapter 2: What They Knew About Surfaces Before Gauss

Chapter 3: The Curvature of Surfaces in Space

Chapter 4: The Curvature of Higher Dimensional Manifolds

Chapter 5: The Absolute Differential Calculus (The Ricci Calculus); or, the Debauch of Indices

Chapter 6: The ∇ Operator

Chapter 7: The Repère Mobile (The Moving Frame)

Chapter 8: Connections in Principal Bundles

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