Mathematics Books Geometry BooksDifferential Geometry Books

Geometry and linear algebra

Geometry and linear algebra

Geometry and linear algebra

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Classical Differential Geometry Peter Petersen

Classical Differential Geometry Peter Petersen

This book explains the following topics: General Curve Theory, Planar Curves, Space Curves, Basic Surface Theory, Curvature of Surfaces, Surface Theory, Geodesics and Metric Geometry, Riemannian Geometry, Special Coordinate Representations.

s256 Pages
Differential Geometry by Rui Loja Fernandes

Differential Geometry by Rui Loja Fernandes

This note covers the following topics: Manifolds as subsets of Euclidean space, Abstract Manifolds, Tangent Space and the Differential, Embeddings and Whitney’s Theorem, The de Rham Theorem, Lie Theory, Differential Forms, Fiber Bundles.

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An Introduction to Differential Geometry through Computation

An Introduction to Differential Geometry through Computation

This note explains the following topics: Linear Transformations, Tangent Vectors, The push-forward and the Jacobian, Differential One-forms and Metric Tensors, The Pullback and Isometries, Hypersurfaces, Flows, Invariants and the Straightening Lemma, The Lie Bracket and Killing Vectors, Hypersurfaces, Group actions and Multi-parameter Groups, Connections and Curvature.

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Differential Geometry Of Three Dimensions

Differential Geometry Of Three Dimensions

This book describes the fundamentals of metric differential geometry of curves and surfaces.

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Lecture Notes on Differential Geometry

Lecture Notes on Differential Geometry

This is a useful note for Differential Geometry. This note covers Curves, Surfaces and Manifolds

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Notes on Differential Geometry and Lie Groups

Notes on Differential Geometry and Lie Groups

This note covers the following topics: Matrix Exponential; Some Matrix Lie Groups, Manifolds and Lie Groups, The Lorentz Groups, Vector Fields, Integral Curves, Flows, Partitions of Unity, Orientability, Covering Maps, The Log-Euclidean Framework, Spherical Harmonics, Statistics on Riemannian Manifolds, Distributions and the Frobenius Theorem, The Laplace-Beltrami Operator and Harmonic Forms, Bundles, Metrics on Bundles, Homogeneous Spaces, Cli ord Algebras, Cli ord Groups, Pin and Spin and Tensor Algebras.

s744 Pages
Lecture Notes in Differential Geometry (PS)

Lecture Notes in Differential Geometry (PS)

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Natural Operations in Differential Geometry

Natural Operations in Differential Geometry

This book is a monographical work on natural bundles and natural operators in differential geometry and this book tries to be a rather comprehensive textbook on all basic structures from the theory of jets which appear in different branches of differential geometry.

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Natural operations in differential geometry

Natural operations in differential geometry

This book covers the following topics: Manifolds And Lie Groups, Differential Forms, Bundles And Connections, Jets And Natural Bundles, Finite Order Theorems, Methods For Finding Natural Operators, Product Preserving Functors, Prolongation Of Vector Fields And Connections, General Theory Of Lie Derivatives.

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Differential Geometry A First Course in Curves and Surfaces

Differential Geometry A First Course in Curves and Surfaces

This note covers the following topics: Curves, Surfaces: Local Theory, Holonomy and the Gauss-Bonnet Theorem, Hyperbolic Geometry, Surface Theory with Differential Forms, Calculus of Variations and Surfaces of Constant Mean Curvature.

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Differential Geometry and Physics

Differential Geometry and Physics

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Course of differential geometry

Course of differential geometry

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Complex Analytic and Differential Geometry

Complex Analytic and Differential Geometry

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Topics in Differential Geometry

Topics in Differential Geometry

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Introduction               to Differential Forms

Introduction to Differential Forms

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Complex               Manifolds and Hermitian Differential Geometry

Complex Manifolds and Hermitian Differential Geometry

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