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 56page collection of formulae is included which can be useful as an aidememoire, 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.
About Pedro M. Gadea
Professor Pedro M. Gadea taught at the Universities of Santiago de Compostela and Valladolid, Spain. He is now a scientific researcher at the Instituto de Fisica Fundamental, CSIC, Madrid, Spain. He has published more than sixty research papers on several topics of differential geometry, algebraic topology and automatic speech recognition. He has also been advisor of four PhD theses. His current interests are in differential geometry, and specifically in Riemannian, Kahler, quaternionKahler and Spin(9) manifolds and structures, and their applications to supergravity. Outside of mathematics, his chief interests are history and minerals. Professor J Munoz Masque taught at the University of Salamanca, Spain. He is currently a scientific researcher at the Instituto de Seguridad de la Informacion (ISI), CSIC, Madrid, Spain. He has written more than one hundred research articles on calculus of variations, Riemannian geometry, differential invariants, gauge theories, and public key cryptography, and he is currently studying on these topics. Outside of mathematics, his chief interests is Spanish poetry. Professor Ihor Mykytyuk teaches at the Pedagogical University of Cracow, Poland. He is Head of Department at the Pidstryhach Institute of Applied Problems of Mechanics and Mathematics, NASU, L'viv, Ukraine. He has published more than thirty research papers on several topics of differential geometry, Lie groups theory and integrable dynamical systems. He is a coauthor of two monographs on these topics. His current interests are in differential geometry and Lie groups theory, and specifically in Riemannian, Kahler, hyperKahler and Spin(9) structures possessing rich groups of symmetries. Outside of mathematics, his main interests are history and bicycle travels.Details Book
Author  :  Pedro M. Gadea 
Publisher  :  Springer 
Data Published  :  29 January 2015 
ISBN  :  9400793308 
EAN  :  9789400793309 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  618 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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