A First in Curves and Surfaces Course in PDF

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  • CURVES
    • Examples, Arclength Parametrization
    • Local Theory: Frenet Frame
    • Some Global Results
  • SURFACES: LOCAL THEORY 
    • Parametrized Surfaces and the First Fundamental Form 
    • The Gauss Map and the Second Fundamental Form 
    • The Codazzi and Gauss Equations and the Fundamental Theorem of Surface Theory
    • Covariant Differentiation, Parallel Translation, and Geodesics
  • SURFACES: FURTHER TOPICS 
    • Holonomy and the Gauss-Bonnet Theorem
    • An Introduction to Hyperbolic Geometry 
    • Surface Theory with Differential Forms
    • Calculus of Variations and Surfaces of Constant Mean Curvature
  • Appendix. REVIEW OF LINEAR ALGEBRA AND CALCULUS 
    • Linear Algebra Review
    • Calculus Review
    • Differential Equations
Description : Download A First Course in Curves and Surfaces course, PDF book by Theodore Shifrin University of Georgia.
Level : Intermediate
Created : March 30, 2016
Size : 1.64 MB
File type : pdf
Pages : 128
Author : Theodore Shifrin University of Georgia
Downloads : 363

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