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＜電子ブック＞
Analysis and Algebra on Differentiable Manifolds : A Workbook for Students and Teachers / by Pedro M. Gadea, Jaime Muñoz Masqué, Ihor V. Mykytyuk
(Problem Books in Mathematics. ISSN:21978506)

版	2nd ed. 2013.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	2013
大きさ	XXVI, 618 p : online resource
著者標目	*Gadea, Pedro M author Muñoz Masqué, Jaime author Mykytyuk, Ihor V author SpringerLink (Online service)
件　名	LCSH:Geometry, Differential FREE:Differential Geometry
一般注記	Differentiable manifolds -- Tensor Fields and Differential Forms -- Integration on Manifolds -- Lie Groups -- Fibre Bundles -- Riemannian Geometry -- Some Formulas and Tables This is the second edition of this best selling problem book for students, now containing over 400 completely solved exercises on differentiable manifolds, Lie theory, fibre bundles and Riemannian manifolds. The exercises go from elementary computations to rather sophisticated tools. Many of the definitions and theorems used throughout are explained in the first section of each chapter where they appear. A 56-page collection of formulae is included which can be useful as an aide-mémoire, even for teachers and researchers on those topics. In this 2nd edition: • 76 new problems • a section devoted to a generalization of Gauss’ Lemma • a short novel section dealing with some properties of the energy of Hopf vector fields • an expanded collection of formulae and tables • an extended bibliography Audience This book will be useful to advanced undergraduate and graduate students of mathematics, theoretical physics and some branches of engineering with a rudimentary knowledge of linear and multilinear algebra HTTP:URL=https://doi.org/10.1007/978-94-007-5952-7

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