Description
Condition
LIKE NEW: This book is in excellent, like-new condition. It was printed on acid-free paper.
Product Details
This text belongs to Springer’s Undergraduate Texts in Mathematics series.
Continued from the back cover: “The material is accessible to an undergraduate student with calculus, linear algebra, and some topology as prerequisites. The many figures, exercises with detailed hints, and tests with answers make this book particularly suitable for anyone studying the subject independently.”
Chapters
- Differentiable Manifolds
- The Tangent Space
- Differential Forms
- The Concept of Orientation
- Integration on Manifolds
- Manifolds-with-Boundary
- The Intuitive Meaning of Stokes’s Theorem
- The Wedge Product and the Definition of the Cartan Derivative
- Stokes’s Theorem
- Classical Vector Analysis
- De Rham Cohomology
- Differential Forms on Riemannian Manifolds
- Calculations in Coordinates
- Answers to the Test Questions
The book concludes with Bibliography and Index.