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Differential Geometryby Clifford Henry Taubes
OUP Oxford 2011; US$ 49.50Bundles, connections, metrics and curvature are the 'lingua franca' of modern differential geometry and theoretical physics. This book will supply a graduate student in mathematics or theoretical physics with the fundamentals of these objects. Many of the tools used in differential topology are introduced and the basic results about differentiable manifolds, smooth maps, differential forms, vector fields, Lie groups, and Grassmanians are all presented here. Other material covered includes the basic theorems about geodesics and Jacobi fields, the classification theorem for flat connections, the definition of characteristic classes, and also an introduction to complex and K--auml--;hler geometry.Differential Geometry uses many of the... more...
Simulating Hamiltonian Dynamicsby Benedict Leimkuhler; Sebastian Reich; M. J. Ablowitz; S. H. Davis; E. J. Hinch; A. Iserles; J. Ockendon; P. J. Olver
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MobileReference.com 2007; US$ 19.99Boost Your grades with this illustrated quick-study guide. You will use it from college to graduate school and beyond. FREE Geometry Background and Triangles chapters in the trial version. Clear and concise explanations. Difficult concepts are explained in simple terms. Illustrated with graphs and diagrams. Table of Contents. Geometry Background. Euclidean Geometry. Euclidean Space. Line. Line Segment. Incidence of planes and lines. Incidence Structure. Euclidean Distance. One-dimensional distance. Two-dimensional distance. Three-dimensional distance. Postulate. The Plane Areas of Mathematics. Translation. Translational Symmetry. Similarity. Triangles. Triangle. Types of triangles. Points, lines and circles associated with a triangle. Computing... more...
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Modular Invariant Theoryby H.E.A. Campbell; David L. Wehlau
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