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Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers

Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers
Catalogue Information
Field name Details
Dewey Class 516.36
Title Analysis and Algebra on Differentiable Manifolds (EB) : A Workbook for Students and Teachers / by Pedro M. Gadea, Jaime Muñoz Masqué,, Ihor V. Mykytyuk.
Author Gadea, P. M. (Pedro Martínez)
Added Personal Name Muñoz Masqué, Jaime
Mykytyuk, Ihor V.
Other name(s) SpringerLink (Online service)
Edition statement 2nd ed. 2013.
Publication Dordrecht : Springer Netherlands
, 2013.
Physical Details XXV, 617 pages, 68 illus., 38 illus. in color. : online resource.
Series Problem books in mathematics 0941-3502
ISBN 9789400759527
Summary Note 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: â¢Â 76 new problems â¢Â a section devoted to a generalization of Gaussâ Lemma â¢Â a short novel section dealing with some properties of the energy of Hopf vector fields â¢Â an expanded collection of formulae and tables â¢Â 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.:
Contents note Differentiable manifolds -- Tensor Fields and Differential Forms -- Integration on Manifolds -- Lie Groups -- Fibre Bundles -- Riemannian Geometry -- Some Formulas and Tables.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-94-007-5952-7
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