An introduction to differentiable manifolds and Riemannian geometry by William M. Boothby

Cover of: An introduction to differentiable manifolds and Riemannian geometry | William M. Boothby

Published by Academic Press in Amsterdam, New York .

Written in English

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Subjects:

  • Differentiable manifolds.,
  • Riemannian manifolds.

Edition Notes

Includes bibliographical references (p. 403-409) and index.

Book details

StatementWilliam M. Boothby.
Classifications
LC ClassificationsQA614.3 .B66 2003
The Physical Object
Paginationxiv, 419 p. :
Number of Pages419
ID Numbers
Open LibraryOL3959365M
ISBN 100121160513
LC Control Number2001097950

Download An introduction to differentiable manifolds and Riemannian geometry

The second edition of An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised has sold over 6, copies since publication in and this revision will make it even more is the only book available that is approachable by "beginners" in this subject.

It has become an essential introduction to the subject for mathematics students, engineers, physicists, Cited by: An Introduction to Differentiable Manifolds and Riemannian Geometry Paperback – January 1, by Boothby William M. (Author) out of 5 stars 5 ratings/5(5). An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised William M.

Boothby, William Munger Boothby Limited preview - An Introduction to Differentiable Manifolds and Riemannian Geometry, Volume At the time, I had several manifold theory books. An Introduction to Differentiable Manifolds and Riemannian Geometry, Boothby 2.

A Comprehensive Introduction to Differential Geometry, Spivak 3. Foundations of Differentiable Manifolds and Lie Groups, Warner Among the three, I chose Boothby/5. An introduction to differentiable manifolds and Riemannian geometry William M. Boothby The second edition of this text has sold over 6, copies since publication in and this revision will make it even more useful.

This textbook is designed for a one or two semester graduate course on Riemannian geometry for students who are familiar with topological and differentiable manifolds. The second edition has been adapted, expanded, and aptly retitled from Lee’s earlier book, Riemannian Manifolds: An Introduction.

The second edition of An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised has sold over 6, copies since publication in and this revision will make it even more is the only book available that is approachable by "beginners" in this subject.

It has become an essential introduction to the subject for mathematics students, engineers, physicists, Reviews: 6. Buy An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised: Volume (Pure and Applied Mathematics) 2 by Boothby, William M., Boothby, William M.

(ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible s: 6. This book is based on a one-semester course taught since at Instituto Superior Técnico (Lisbon) to mathematics, physics and engineering students.

Its aim is to provide a quick introduction to differential geometry, including differential forms, followed by the main ideas of Riemannian geometry. 6 1. DIFFERENTIABLE MANIFOLDS Remark (1) The only compact connected 1-dimensional topological manifold is the circle S1 (see [Mil97]).

(2) The connected sum of two topological manifolds M and N is the topological manifold M#N obtained by deleting an open set homeomorphic to a ball on each manifold and gluing the boundaries. The second edition of An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised has sold over 6, copies since publication in and this revision will make it even more is the only book available that is approachable by beginners in this subject.

It has become an essential introduction to the subject for mathematics students, engineers,/5. This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie theory.

It presupposes little background: the reader is only expected to master basic differential calculus, and a little point-set by: 3. The second edition of An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised has sold over 6, copies since publication in and this revision will make it even more useful.

This is the only book available that is approachable by "beginners" in this subject. An Introduction to Riemannian Geometry with Applications to Mechanics and Relativity. This book covers the following topics: Differentiable Manifolds, Differential Forms, Riemannian Manifolds, Curvature, Geometric Mechanics, Relativity.

Author(s): Leonor Godinho and Jose Natario. Riemannian geometry. An introduction to differentiable manifolds and (Pure and applied mathematics, a series of monographs Bibliography: p. Includes index. Differentiable manifolds. Riemannian mani- and textbooks ; no. folds. Title. Series. QA3.P8 [QA] 5 16l ISBN An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised (Volume ) (Pure and Applied Mathematics (Volume )) by Boothby, William M.

and a great selection of related books, art and collectibles available now at   Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature.

The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose. This book provides an introduction to Riemannian geometry, the geometry of curved spaces, for use in a graduate course.

Requiring only an understanding of differentiable manifolds, the author covers the introductory ideas of Riemannian geometry followed by a selection of more specialized topics.

Also featured are Notes and Exercises for each chapter, to develop and enrich the reader's. This book is a standard reference on the subject of differential manifolds and Riemannian geometry in many somewhat more applied fields, such as mine (control theory).

Having used it as a reference for many years, I finally decided to read it cover to cover/5(6). From the book reviews: “The aim of the textbook is twofold.

First, it is a concise and self-contained quick introduction to the basics of differential geometry, including differential forms, followed by the main ideas of Riemannian geometry. texts All Books All Texts latest This Just In Smithsonian Libraries FEDLINK An introduction to differentiable manifolds and Riemannian geometry An introduction to differentiable manifolds and Riemannian geometry by Boothby, William M.

(William Munger), Publication date Pages: This book provides an introduction to Riemannian geometry, the geometry of curved spaces, for use in a graduate course. Requiring only an understanding of differentiable manifolds, the author covers the introductory ideas of Riemannian geometry followed by a selection of more specialized topics.

Serves as an introduction to the subject of Differentiable Manifolds and Riemannian Geometry for mathematics students, engineers, physicists, and economists who need to.

Riemann’s revolutionary ideas generalised the geometry of surfaces which had earlier been initiated by Gauss. Later this lead to an exact de nition of the modern concept of an abstract Riemannian manifold.

The development of the 20th century has turned Riemannian ge-ometry into one of the most important parts of modern mathematics.

John "Jack" M. Lee is a professor of mathematics at the University of Washington. Professor Lee is the author of three highly acclaimed Springer graduate textbooks: Introduction to Smooth Manifolds, (GTM ) Introduction to Topological Manifolds (GTM ), and Riemannian Manifolds (GTM ).Lee's research interests include differential geometry, the Yamabe problem, /5(4).

Other alternative maybe Boothby - "Introduction to Differentiable Manifolds and Riemannian Geometry" since it also builds everything up starting from multivariable analysis. If you prefer a transition from differential curves and surfaces focusing on riemannian geometry you have Kühnel - "Differential Geometry: Curves, Surfaces, Manifolds".

Introduction to Differentiable Manifolds Second Edition With 12 Illustrations. SergeLang The book gives an introduction to the basicconcepts whichare usedin showed me how one can recover sprays and geodesics on a Riemannian manifold by making direct use of the canonical 2-form and the metric.

This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie theory.

It presupposes little background: the reader is only expected to master basic differential calculus, and a little point-set topology. Get this from a library. An introduction to differentiable manifolds and Riemannian geometry. [William M Boothby] -- This book is intended to lead the student from a reasonable mastery of advanced multivariable calculus and a rudimentary knowledge of general topology and linear algebra to.

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Chandini Pattanain marked it as to-read It has become an essential introduction to the subject for mathematics students, engineer The second edition of An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised has sold over 6, copies since publication in and this revision will make it even.

This is the third version of a book on differential manifolds. The first version appeared inand was written at the very beginning of a period of great expansion of the subject. At the time, I found no satisfactory book for the foundations of the subject, for multiple reasons.

I expanded the book inand I expand it still further today/5(2). The text covers the basics of multilinear algebra, differentiation and integration on manifolds, Lie groups and Lie algebras, homotopy and de Rham cohomology, homology, vector bundles, Riemannian and pseudo-Riemannian geometry, and degree theory.

An Introduction to Differentiable Manifolds and Riemannian Geometry - Ebook written by William M. Boothby. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read An Introduction to Differentiable Manifolds and Riemannian Geometry.

: An Introduction to Differentiable Manifolds and Riemannian Geometry (Pure and Applied Mathematics, Volume ) () by Boothby, William M. and a great selection of similar New, Used and Collectible Books available now at great prices/5(13). Get this from a library. An introduction to differentiable manifolds and Riemannian geometry.

[William M Boothby] -- The second edition of this text has sold over 6, copies since publication in and this revision will make it even more useful.

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