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Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers
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Catalogue Information
Field name
Details
Dewey Class
516.36
Title
Analysis and Algebra on Differentiable Manifolds ([Ebook]) : 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
Links to Related Works
Subject References:
Differentiable manifolds
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Differential Geometry
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Global differential geometry
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Mathematics
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Authors:
author
.
Gadea, P. M. (Pedro Martínez)
.
Muñoz Masqué, Jaime
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Mykytyuk, Ihor V.
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Corporate Authors:
SpringerLink (Online service)
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Series:
Problem books in mathematics
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Classification:
516.36
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516.36 (DDC 23)
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