000 02274nam a2200385 a 4500
001 00011680
003 WSP
007 cr cnu|||unuuu
008 201021s2020 si ob 001 0 eng
040 _a WSPC
_b eng
_c WSPC
010 _z 2020037906
020 _a9789811214820
_q(ebook)
020 _z9789811214813
_q(hbk.)
020 _z9789811215957
_q(pbk.)
050 0 4 _aQA649
_b.N53 2020
072 7 _aMAT
_x012010
_2bisacsh
072 7 _aMAT
_x012030
_2bisacsh
072 7 _aMAT
_x034000
_2bisacsh
082 0 4 _a516.362
_223
100 1 _aNicolaescu, Liviu I.
_921244
245 1 0 _aLectures on the geometry of manifolds
_h[electronic resource] /
_cby Liviu I. Nicolaescu.
250 _a3rd. ed.
260 _aSingapore :
_bWorld Scientific,
_c2020.
300 _a1 online resource (xviii, 682 p.)
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"--Publisher's website.
505 0 _aManifolds -- Natural constructions on manifolds -- Calculus on manifolds -- Riemannian geometry -- Elements of the calculus of variations -- The fundamental group and covering spaces -- Cohomology -- Characteristic classes -- Classical integral geometry -- Elliptic equations on manifolds -- Spectral geometry -- Dirac operators.
504 _aIncludes bibliographical references and index.
538 _aMode of access: World Wide Web.
538 _aSystem requirements: Adobe Acrobat Reader.
650 0 _aGeometry, Differential.
_921245
650 0 _aManifolds (Mathematics)
_910955
655 0 _aElectronic books.
_93294
856 4 0 _uhttps://www.worldscientific.com/worldscibooks/10.1142/11680#t=toc
_zAccess to full text is restricted to subscribers.
942 _cEBK
999 _c72794
_d72794