Analysis on Manifolds : A Modern Approach to Mathematics and Physics/V.G.
Gupta. Jaipur, Oxford Book Company, 2008, xii, 270 p., ISBN
81-89473-43-3.
Analysis on Manifolds : A Modern Approach to Mathematics and Physics/V.G.
Gupta. Jaipur, Oxford Book Company, 2008, xii, 270 p., ISBN
81-89473-43-3.
Contents: Acknowledgements. Preface. 1. Introduction. 2. Submanifolds and manifolds. 3. Differentiable functions and morphisms of manifolds. 4. The Tangent space. 5. Tangent maps. 6. Product manifolds. 7. Vector bundles. 8. Tangent bundle. 9. Vector fields. 10. Differential forms. 11. Sprays. 12. Lie groups. 13. Lie algebras of lie groups. 14. Covariant differentiation. 15. Geodesics. Select bibliography. Index.
"This book analysis on manifolds covers the basis topics needed for the study of different branches of Mathematics and physics such as differential geometry, differential equations, and theoretical physics. It is intended that this book will provide a sound basic knowledge on the different modern topics of mathematical science. Students and scientists related to these disciplines will find it very useful in developing the sound base to tackle their problems." (jacket)