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

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 defi...

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Bibliografiske detaljer
Hovedforfatter: Gadea, Pedro Martínez, 19..-
Andre forfattere: Muñoz Masqué, Jaime, 19..- (Directeur de la publication), Mykytyuk, Ihor V. (Directeur de la publication)
Format: Livre numérique
Sprog:Anglais
Udgivet: Dordrecht : Springer Netherlands 2013.
Udgivelse:2nd ed. 2013.
Serier:Problem Books in Mathematics
Online adgang:Accès sur la plateforme de l'éditeur
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Kommentar: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Analysis and algebra on differentiable manifolds, a workbook for students and teachers, Pedro M. Gadea, Jaime Muñoz Masqué, Ihor V. Mykytyuk, 2nd edition, 2013, London [etc.], Springer, 1 vol. (XXV-617 p.), Problem books in mathematics, 978-94-007-5951-0
• Analysis and Algebra on Differentiable Manifolds, Texte imprimé, 9789400759534
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245 1 0 |a Analysis and Algebra on Differentiable Manifolds :  |b A Workbook for Students and Teachers   |c by Pedro M. Gadea, Jaime Muñoz Masqué, Ihor V. Mykytyuk. 
250 |a 2nd ed. 2013. 
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505 1 |a Differentiable manifolds Tensor Fields and Differential Forms Integration on Manifolds Lie Groups Fibre Bundles Riemannian Geometry Some Formulas and Tables 
520 |a 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 bibliographyAudienceThis 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 
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