Differential Geometry Manifolds | Quddus Khan - PHI
Print Book ISBN : 9788120346505
Pages : 256
Binding : Paperback
Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood. Differential geometry is concerned with the precise mathematical formulation of some of these questions, while trying to answer them using calculus techniques. The geometry of differentiable manifolds with structures is one of the most important branches of modern differential geometry.
This well-written book discusses the theory of differential and Riemannian manifolds to help students understand the basic structures and consequent developments. While introducing concepts such as bundles, exterior algebra and calculus, Lie group and its algebra and calculus, Riemannian geometry, submanifolds and hypersurfaces, almost complex manifolds, etc., enough care has been taken to provide necessary details which enable the reader to grasp them easily. The material of this book has been successfully tried in classroom teaching.
The book is designed for the postgraduate students of Mathematics. It will also be useful to the researchers working in the field of differential geometry and its applications to general theory of relativity and cosmology, and other applied areas.
Provides basic concepts in an easy-to-understand style.
Presents the subject in a natural way.
Follows a coordinate-free approach.
Includes a large number of solved examples and illuminating illustrations.
Gives notes and remarks at appropriate places.
2. DIFFERENTIABLE MANIFOLDS
3. DIFFERENTIAL FORMS, BUNDLES, LIE GROUPS AND LIE ALGEBRAS
4. RIEMANNIAN MANIFOLDS
5. SUBMANIFOLDS AND HYPERSURFACES
6. ALMOST COMPLEX MANIFOLDS
ABOUT THE AUTHOR
QUDDUS KHAN, PhD, is Senior Assistant Professor in the Department of Mathematics, Shibil National Postgraduate College, Azamgarh (UP). He has been teaching undergraduate and postgraduate classes for the last eight years. Earlier, he worked as a Young Scientist in the Department of Mathematics, Faculty of Natural Sciences, Jamia Millia Islamia (JMI), New Delhi and also as a Guest Lecturer in the Department of Applied Sciences, Faculty of Engineering, JMI, New Delhi. Dr. Khan has to his credit 14 research papers on Differentiable Manifolds published in various national and international journals, and has coauthored several books.