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 themes of linearization, re integration, and global versus local calculus are emphasized throughout.
Table of contents Preface to the Second Edition. The presentation is smooth, the choice of topics optimal, and the book can be profitably used for self teaching.
Students, teachers and professionals in mathematics and mathematical differentiahle should find this a most stimulating and useful text.
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 choice of topics certainly gives the reader a good basis for further self study. Alex added it Nov 03, Overall, this edition contains more examples, exercises, and figures throughout the chapters.
Conlon’s book serves very well as a professional reference, providing an appropriate level of detail throughout.
The process of solving differential equations i. The book is useful for undergraduate and graduate students as well as for several researchers. Visit our Beautiful Books page and find lovely books for kids, photography lovers and more.
Home Contact Us Help Free delivery worldwide. Dfiferentiable second edition contains a significant amount of new material, which, in addition to classroom use, will make it a useful reference text. The de Rharn Cohomology Theorem.
Back cover copy 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. Ginzburg-Landau Vortices Fabrice Bethuel. Product details Format Paperback pages Dimensions x x 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.
Selected pages Page 4. Oscar marked it as to-read Oct 31, Preview — Differentiable Manifolds by Lawrence Conlon. Differentiable Manifolds is a text designed to cover this material in a careful and sufficiently detaile 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.
Appendix A Vector Fields on Spheres. This second edition contains a significant amount of new material, which, in addition to classroom use, will make it a useful reference text. Bijan rated it liked it Apr 13, My library Help Advanced Book Search. Other books in this series. New to the second edition is a detailed treatment of covering spaces and the fundamental group.
Account Options Sign in. It reassembles an infinite array of linear approximations, result ing from differentiation, into the original nonlinear data. Mark Gomer rated it really liked it Feb 02, Differentiable Manifolds is a text designed to cover this material in a careful and sufficiently detailed manner, presupposing only a good foundation manifoldx general topology, calculus, and modern algebra.
Mathematicians already familiar with the earlier edition have spoken very favourably about the contents and the lucidity of the exposition. Notes on Introductory Combinatorics Georg Polya.
Illustrations note XIV, p. 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. Lie Groups and Lie Algebras Recommended for advanced graduate students and above. 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.
Differentiable Manifolds by Lawrence Conlon
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. Book ratings by Goodreads. The Local Theory of Smooth Functions. To ask other readers questions about Differentiable Manifoldsplease sign up.
Differentiable Manifolds – Lawrence Conlon – Google Books
Want to Read saving…. Goodreads is the world’s largest site for readers with over 50 million reviews. It is addressed primarily to second year graduate students and well Other editions mannifolds View all Differentiable Manifolds: Goodreads helps you keep track of books you want to read. Return to Book Page. Presupposed is a good grounding in general topology and modern algebra, especially linear algebra and the analogous theory of modules over a commutative, unitary ring.