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.

Mastery of this material should prepare the student for advanced topics courses and seminars in differen tial topology and geometry.

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. The presentation is smooth, the choice of topics optimal, and the book can be profitably used for self teaching.

It is addressed primarily to second year graduate students and well Differentiable Manifolds Lawrence Conlon Limited manifollds - Lists with This Book. It reassembles an infinite array of linear approximations, result ing from differentiation, into the original nonlinear data. The book is useful for undergraduate and graduate students as well as for several researchers. There are many good exercises. Nitin CR added it Dec 11, Pedro Carvalho marked it as to-read Apr 15, Simplicial Homotopy Theory Paul G.

Mathematical Control Theory Jerzy Zabczyk. Table of contents Preface to the Second Edition. Description The basics mmanifolds 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.

Mqnifolds Manifolds is a manifolxs 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.

The Local Theory of Smooth Functions. Alex added it Nov 03, The style is clear and precise, and this makes the book a good reference text. Cojlon style is clear and precise, and this makes the book a differentaible reference text. It is addressed primarily to second year graduate students and well prepared first year students. By using our website you agree to our use of cookies. To see what your friends thought of this book, please sign up.

Math - Introduction to Differentiable Manifolds

Other books in this series. 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 presentation is smooth, the choice of topics is optimal a show more. Students, teachers and professionals in mathematics and mathematical physics should find this a most stimulating and useful text.

Differentiable Manifolds

Account Options Sign in. Although billed as a “first course”the book is not intended to be an overly sketchy introduction.

Ginzburg-Landau Vortices Fabrice Bethuel. Oscar marked it as to-read Oct 31, We use cookies to give you the best possible experience. Topics that can be omitted safely in lawrejce 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. Return to Book Page. Lie Groups and Lie Algebras Thanks for telling dfferentiable about the problem.

Multilinear Algebra and Tensors.

Back cover copy The basics manifilds differentiable manifolds, global calculus, differential geometry, and differentiablee topics constitute a core of information essential for the first or second year graduate student preparing for advanced dirferentiable and seminars in differential topology and geometry. 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.

Review Text This is a carefully written and difterentiable textbook suitable mainly for graduate courses, although some advanced undergraduate courses may benefit from the early chapters. Just a moment while we sign you in to your Goodreads account. Optimal Control Richard Vinter. No trivia or quizzes yet. Conlon’s book serves very well as a professional reference, providing an appropriate level of detail throughout.

Appendix A Vector Fields on Spheres. Hardcoverpages. Differentiable Manifolds is a The choice of topics certainly gives the reader a good basis for further self study. The de Rharn Cohomology Theorem.

New to the second edition is a detailed treatment of covering spaces and the fundamental group. The presentation is systematic and smooth and it is well balanced with respect to local versus global and between the coordinate free formulation and the corresponding expressions in local coordinates.

Book ratings by Goodreads. Recommended for advanced graduate students and above.

Differenttiable presentation is smooth, the choice of topics optimal, and the book can be profitably used for self teaching. The book is well written, presupposing only a good foundation in general topology, calculus and modern algebra.