Course: MIT OPEN COURSEWARE

  1. Introduction to Arithmetic Geometry

  2. Introduction to Topology

  3. Seminar in Topology

  4. Differential Geometry

  5. Seminar in Geometry

  6. Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra

  7. Numerical Methods for Partial Differential Equations

  8. Geometry of Manifolds

  9. Topics in Geometry: Mirror Symmetry

  10. Topics in Geometry: Dirac Geometry

  11. The Polynomial Method

  12. Engineering Math: Differential Equations and Linear Algebra

Ebooks:

– What are the best differential geometry textbooks?

Web:

Lecture:

Math Differential Geometry

Math 352 Bard College

Math 561 – The Differential Geometry of Curves and Surfaces

Professor Jean Gallier 

  1. Computational Manifolds and Applications
  2. Advanced Geometric Methods in Computer Science
  3. Basic of Algebra, Topology, and Differential Calculus.pdf
  4. Algebraic Geometry
  5. Introduction to Discrete Probability
  6. All books http://www.cis.upenn.edu/~jean/gbooks/home.html

Professor C. K. Fong

Prof. Alan Macdonald

Overview of Geometric Algebra in Physics

Math.stackexchange.com

In general:

Tensor Analysis and Manifolds:

Differential Forms:

Others:

  • An Introduction to Differential Geometry T J Willmore
  • A comprehensive introduction to differential geometry Michael Spivak
  • Applied Differential Geometry a Modern Introduction Tijana T Ivancevic
  • A Course in Differential Geometry Thierry Aubin
  • Differential Geometry and Statistics MK Murray
  • A course in differential geometry and Lie groups S Kumaresan
  • Applicable Differential Geometry M Crampin
  • Differential Geometry Robert Geroch
  • Elementary Differential Geometry AN Pressley
  • Topics in Differential Geometry Peter W Michor
  • Fundamentals of Differential Geometry Serge Lang
  • Methods of Differential Geometry in Analytical Mechanics M de León
  • Differential Geometry and Its Applications John Oprea
  • Functional Differential Geometry Gerald Jay Sussman
  • Applied Differential Geometry William L Burke
  • Affine Differential Geometry Katsumi Nomizu
  • Geometry of Differential Forms Shigeyuki Morita
  • Differential and Riemannian Geometry Detlef Laugwitz
  • Manifolds and Differential Geometry Jeffrey Marc Lee
  • PDF Differential Geometry Gauge Theories and Gravity M Göckeler

Amazon:

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