By Stephen T. Lovett
From the coauthor of Differential Geometry of Curves and Surfaces, this better half e-book provides the extension of differential geometry from curves and surfaces to manifolds in most cases. It presents a huge advent to the sphere of differentiable and Riemannian manifolds, tying jointly the classical and smooth formulations. the 3 appendices offer history details on element set topology, calculus of adaptations, and multilinear algebra—topics that will not were lined within the prerequisite classes of multivariable calculus and linear algebra.
Differential Geometry of Manifolds takes a pragmatic process, containing wide routines and targeting functions of differential geometry in physics, together with the Hamiltonian formula of dynamics (with a view towards symplectic manifolds), the tensorial formula of electromagnetism, a few string idea, and a few basic suggestions ordinarily relativity.
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