This first course in differential geometry presents the fundamentals of the metric differential geometry of curves and surfaces in a...

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This outstanding guide supplies important mathematical tools for diverse engineering applications, offering engineers the basic concepts and terminology of m......

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This text employs vector methods to explore the classical theory of curves and surfaces. Topics include basic theory of tensor...

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An introductory textbook on the differential geometry of curves and surfaces in 3-dimensional Euclidean space, presented in its simplest, most...

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This text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of groups of motions in...

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Excellent brief introduction presents fundamental theory of curves and surfaces and applies them to a number of examples. Topics include...

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Suitable for advanced undergraduates and graduate students of mathematics as well as for physicists, this unique monograph and self-contained treatment...

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Classic monograph offers a brief account of the invariant theory connected with a single quadratic differential form. Includes historical overview;...

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Introductory text for advanced undergraduates and graduate students presents systematic study of the topological structure of smooth manifolds, starting with...

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Newly updated accessible study covers parametric and non-parametric surfaces, isothermal parameters, Bernstein’s theorem, much more, including such rec......

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A coherent, well-organized look at the basis of quantum statistics’ computational methods, the determination of the mean values of occupation...

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Covers principal fiber bundles and connections; curvature; particle fields, Lagrangians, and gauge invariance; inhomogeneous field equations; free Dirac elec......

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This influential work defines the concept of surface curvature and presents the important theorem stating that the "Gauss curvature" is...

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Topics in Differential Geometry is a collection of papers related to the work of Evan Tom Davies in differential geometry....

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Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector...

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A comprehensive approach to qualitative problems in intrinsic differential geometry, this text examines Desarguesian spaces, perpendiculars and parallels, co......

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Written by physicists for physics students, this text assumes no detailed background in topology or geometry. Topics include differential forms,...

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This text examines fundamental and general existence theorems, along with uniqueness theorems and Picard iterants, and applies them to properties...

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Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction...

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Concepts from Tensor Analysis and Differential Geometry discusses coordinate manifolds, scalars, vectors, and tensors. The book explains some interesting formal...

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