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01948aam a2200373 i 4500 001 7059D1C07CB711EB8C51190E5AECA4DB 003 SILO 005 20210304010025 008 200819s2021 si a b 001 0 eng 010 $a 2020037906 020 $a 9811215952 020 $a 9789811215957 020 $a 9811214816 020 $a 9789811214813 035 $a (OCoLC)1192303368 040 $a DLC $b eng $e rda $c DLC $d OCLCO $d OCLCF $d YDX $d SILO 042 $a pcc 050 00 $a QA649 $b .N53 2021 082 00 $a 516.3/62 $2 23 100 1 $a Nicolaescu, Liviu I. $e author. 245 10 $a Lectures on the geometry of manifolds / $c Liviu I. Nicolaescu, University of Notre Dame, USA. 250 $a Third edition. 264 1 $a Singapore ; $b World Scientific Publishing Co. Pte. Ltd., $c [2021] 300 $a xviii, 682 pages : $b illustrations ; $c 25 cm 504 $a Includes bibliographical references and index. 520 $a "The goal of this book is to introduce the reader to some of the main techniques, ideas and concepts frequently used in modern geometry. It starts from scratch and it covers basic topics such as differential and integral calculus on manifolds, connections on vector bundles and their curvatures, basic Riemannian geometry, calculus of variations, DeRham cohomology, integral geometry (tube and Crofton formulas), characteristic classes, elliptic equations on manifolds and Dirac operators. The new edition contains a new chapter on spectral geometry presenting recent results which appear here for the first time in printed form"-- $c Provided by publisher. 650 0 $a Geometry, Differential. 650 0 $a Manifolds (Mathematics) 650 7 $a Geometry, Differential $2 fast $0 (OCoLC)fst00940919 650 7 $a Manifolds (Mathematics) $2 fast $0 (OCoLC)fst01007726 941 $a 1 952 $l USUX851 $d 20221203070800.0 956 $a http://locator.silo.lib.ia.us/search.cgi?index_0=id&term_0=7059D1C07CB711EB8C51190E5AECA4DB 994 $a 92 $b IWAInitiate Another SILO Locator Search