Smooth Manifolds

• Main Author: Sinha, Rajnikant (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New Delhi : Springer India : Imprint: Springer, 2014.
• Subjects: Mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Differential geometry.; Gravitation.; Differential Geometry.; Classical and Quantum Gravitation, Relativity Theory.; Global Analysis and Analysis on Manifolds.

This book offers an introduction to the theory of smooth manifolds, helping students to familiarize themselves with the tools they will need for mathematical research on smooth manifolds and differential geometry. The book primarily focuses on topics concerning differential manifolds, tangent spaces...

Table of Contents:

• Chapter 1. Differentiable Manifolds
• Chapter 2. Tangent Spaces
• Chapter 3. Multivariable Differential Calculus
• Chapter 4. Topological Properties of Smooth Manifolds
• Chapter 5. Immersions, Submersions, and Embeddings
• Chapter 6. Sard’s Theorem
• Chapter 7. Whitney Embedding Theorem
• Bibliography.