LAWRENCE CONLON DIFFERENTIABLE MANIFOLDS PDF

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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Home Contact Us Help Free delivery worldwide. Description 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.

Differentiable Manifolds is a text designed to cover this material in a careful and sufficiently detailed cknlon, presupposing only a good foundation in general topology, calculus, and modern algebra. This second edition contains a significant amount of new material, which, in addition to classroom use, will make it a useful reference text.

Differentiable Manifolds by Lawrence Conlon

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. The Best Books of Check out the top books of the year on our page Best Books of Product details Format Paperback pages Dimensions x x Illustrations note XIV, p.

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Other books in this series. Differentiable Manifolds Lawrence Conlon. A Probability Path Sidney I. Indiscrete Thoughts Gian-Carlo Rota. Notes on Introductory Combinatorics Georg Polya. Theory of Function Spaces Hans Triebel. Mathematical Control Theory Jerzy Zabczyk. Linear Algebraic Groups Tonny A. Bernhard Riemann Detleff Laugwitz.

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Linear Programming Howard Karloff. Simplicial Homotopy Theory Paul G. Optimal Control Richard Vinter. 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.

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 themes of linearization, re integration, and global versus local calculus are emphasized throughout. 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.

New to the second edition is a detailed treatment of covering spaces and the fundamental group. Students, teachers and professionals in mathematics and mathematical physics should find this a most stimulating and useful text.

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.

Within this area, the book is unusually comprehensive The style is clear and precise, and this makes the book a good reference text. There are lawrencf good exercises. The presentation is smooth, the choice of topics optimal, and the book can be profitably used for self teaching.

Table of contents Preface to the Second Edition. Construction of the Universal Covering. The de Rham Cohomology Theorem. 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. This book is very suitable for students wishing to learn the subject, and interested teachers can find well-chosen and nicely presented materials for their courses.

Overall, this edition contains more examples, exercises, and figures throughout the chapters. The book is well written, presupposing only a good foundation in general topology, calculus and modern algebra. Mathematicians already familiar ddifferentiable the earlier differentiablf have spoken very favourably about the contents and the lucidity of the exposition.

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In summary, this is an excellent and important book, carefully written and well produced. It will be a valuable aid to graduate and PhD students, lecturers, and-as a reference work-to research mathematicians. 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 choice of topics differentiavle gives the reader a good basis for further self study. The book contains many interesting examples and exercises. 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.

The book is useful for undergraduate and graduate students as well differentialbe for several researchers. The presentation is smooth, the choice of topics is optimal a show more.

Differentiable Manifolds

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

Conlon’s book serves very well as a professional reference, providing an appropriate level of detail throughout. Recommended for advanced graduate students and above. Book ratings by Goodreads. Goodreads is the world’s largest site for readers with over 50 million reviews.

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