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

Pedro M. Gadea; J. Munoz Masqué

Softcover

ISBN 10: 904813563X ISBN 13: 9789048135639

Publisher: Springer, 2009

Synopsis

This book is a collection of 375 completely solved exercises on differentiable manifolds, Lie groups, fibre bundles, and Riemannian manifolds. The exercises go from elementary computations to rather sophisticated tools. It is the first book consisting of completely solved problems on differentiable manifolds, and therefore will be a complement to the books on theory. A 42-page formulary is included which will be useful as an aide-mémoire, especially for teachers and researchers on these topics. The book includes 50 figures. Audience: The book will be useful to advanced undergraduate and graduate students of mathematics, theoretical physics, and some branches of engineering.

About this title

From the Back Cover:

The present book is a collection of completely solved exercises on differentiable manifolds, lie groups, fibre bundles and Riemannian manifolds. The exercises go from elementary computations to rather sophisticated tools. It is the first book of completely solved problems on differentiable manifolds and therefore will be a compliment to the books on theory. A 42 page Formulary is included which can be useful as an aide-mémoire, even for teachers and researchers on those topics. Audience This book will be useful to advanced undergraduate and graduate students of mathematics, theoretical physics and some branches of engineering.

About the Author:

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 Física 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, Kähler, quaternion-Kähler and Spin(9) manifolds and structures, and their applications to supergravity. Outside of mathematics, his chief interests are history and minerals.

Professor J Muñoz Masqué taught at the University of Salamanca, Spain. He is currently a scientific researcher at the Instituto de Seguridad de la Información (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 co-author of two monographs on these topics. His current interests are in differential geometry and Lie groups theory, and specifically in Riemannian, Kähler, hyper-Kähler and Spin(9) structures possessing rich groups of symmetries. Outside of mathematics, his main interests are history and bicycle travels.

About this edition

• Publisher: Springer
• Publication date: 2009
• ISBN 10: 904813563X
• ISBN 13: 9789048135639
• Binding: Paperback
• Edition number: 1
• Number of pages: 453