This text covers differentiable manifolds, global calculus, differential geometry, and related topics constituting a core of information for the first or second year. This book is based on the full year Ph.D. qualifying course on differentiable manifolds, global calculus, differential geometry, and related topics. The two main textbooks for this course are Differentiable Manifolds. A First Course by Lawrence Conlon, Birkhäuser Advanced Texts, Basler Lehrebücher.

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The choice of topics certainly gives the reader a good basis for further self study. The presentation is smooth, the choice of topics is optimal a show more.

The subject matter is differential topology and geometry, that is, the study of curves, surfaces and manifolds where the assumption of differentiability adds the tools of differentiable and integral calculus to those of topology.

The well understood methods of linear algebra are then applied to the resulting linear problem and, where possible, the results are reinterpreted in terms of the original nonlinear problem.

Visit our Beautiful Books page and find lovely books for kids, photography lovers and more. Although billed as a “first course”the book is lawtence intended to be an overly sketchy introduction. This book is based on the full year Ph.

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Back cover copy The basics of differentiable manifolds, laawrence calculus, differential geometry, and related topics constitute a core of information essential for the first or second year graduate student preparing lawrnece advanced courses and seminars in differential topology and geometry. This second edition contains a significant amount of new material, which, in addition to classroom use, will make it a useful reference text.

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Additional features include a treatment of the elements of multivariable calculus, formulated to adapt readily to the global context, an exploration of bundle theory, and a further optional development of Lie theory than is customary in textbooks at this level.

Other books in this series. Published April 1st by Birkhauser first published January 1st Mark Gomer rated it really liked it Feb 02, Paul marked it as to-read Feb 12, Topics that can be omitted safely in a first course are clearly marked, making this edition easier to use for such a course, as well as for private study by non-specialists.

Students, teachers and professionals in mathematics and mathematical physics should find this a most stimulating and useful text. To ask other readers questions about Differentiable Manifoldsplease sign up. The presentation is smooth, the choice of topics optimal, and the book can be profitably used for self teaching. Wikimedia Italia added it Dec 31, No trivia or quizzes yet. Selected pages Title Page. The Best Books of Topics that can be omitted safely in a first course are clearly marked, making this xifferentiable easier to use for such a course, as well as for private study by non-specialists wishing to survey the field.

Construction of the Universal Covering.

Differentiable Manifolds by Lawrence Conlon

In summary, this is an excellent and important book, carefully written and well dkfferentiable. It may serve as a basis for a two-semester graduate course for students of mathematics and as a reference book for graduate students of theoretical physics.

The process of solving differential equations i. By using our website you agree to our use of cookies.

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Review Text This is a carefully written and wide-ranging textbook suitable mainly for graduate courses, although some advanced undergraduate courses may benefit from the early chapters. Account Options Sign in. Simplicial Homotopy Theory Paul G. Differentiable Manifolds is a text designed to cover this material in a careful and sufficiently detailed manner, presupposing only a good foundation in general topology, calculus, and modern algebra.

The themes of linearization, re integration, and global versus local calculus are emphasized throughout. Topics that can be omitted safely in a first course are clearly marked, making this edition easier to use for such a course, as well as for private study by non-specialists wishing to survey the field.

The book is well written, presupposing only a good foundation in general topology, calculus and modern algebra.

Differentiable Manifolds

We use cookies to give you the best possible experience. The style is clear and precise, and this makes the book a good reference text. Within this area, the book is unusually comprehensive There are many good exercises. Bernhard Riemann Detleff Laugwitz.

diffeerentiable Ginzburg-Landau Vortices Fabrice Bethuel. Multilinear Algebra and Tensors. The Global Theory of Smooth Functions. The basics of differentiable manifolds, global calculus, differential geometry, and related topics constitute a core of information essential for the first or second year graduate student preparing for advanced courses and seminars in differential topology and geometry.