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Lectures On The Geometry Of Manifolds [Paperback]

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Item Number 164771  
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Item description for Lectures On The Geometry Of Manifolds by Liviu I. Nicolaescu...

The goal of this book is to introduce the reader to some of the most frequently used techniques in modern global geometry. Suited to the beginning graduate student willing to specialize in this very challenging field, the necessary prerequisite is a good knowledge of several variables calculus, linear algebra and point-set topology.

The book s guiding philosophy is, in the words of Newton, that in learning the sciences examples are of more use than precepts . We support all the new concepts by examples and, whenever possible, we tried to present several facets of the same issue.

While we present most of the local aspects of classical differential geometry, the book has a global and analytical bias . We develop many algebraic-topological techniques in the special context of smooth manifolds such as Poincar duality, Thom isomorphism, intersection theory, characteristic classes and the Gauss Bonnet theorem.

We devoted quite a substantial part of the book to describing the analytic techniques which have played an increasingly important role during the past decades. Thus, the last part of the book discusses elliptic equations, including elliptic Lp and Hlder estimates, Fredholm theory, spectral theory, Hodge theory, and applications of these. The last chapter is an in-depth investigation of a very special, but fundamental class of elliptic operators, namely, the Dirac type operators.

The second edition has many new examples and exercises, and an entirely new chapter on classical integral geometry where we describe some mathematical gems which, undeservedly, seem to have disappeared from the contemporary mathematical limelight.

Promise Angels is dedicated to bringing you great books at great prices. Whether you read for entertainment, to learn, or for literacy - you will find what you want at!

Item Specifications...

Studio: World Scientific Publishing Company
Pages   589
Est. Packaging Dimensions:   Length: 1.25" Width: 6.5" Height: 9.75"
Weight:   2.3 lbs.
Binding  Softcover
Release Date   Sep 27, 2007
Publisher   World Scientific Publishing Company
ISBN  9812778624  
ISBN13  9789812778628  

Availability  100 units.
Availability accurate as of Oct 22, 2016 03:11.
Usually ships within one to two business days from La Vergne, TN.
Orders shipping to an address other than a confirmed Credit Card / Paypal Billing address may incur and additional processing delay.

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Product Categories

1Books > Special Features > New & Used Textbooks
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Algebraic Geometry
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Differential Geometry
4Books > Subjects > Science > General
5Books > Subjects > Science > Mathematics > General
6Books > Subjects > Science > Mathematics > Geometry & Topology > Algebraic Geometry
7Books > Subjects > Science > Mathematics > Geometry & Topology > Differential Geometry

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