Undergraduate Texts in Mathematics: Vector Analysis (Hardback)

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

1. Differentiable Manifolds
2. The Tangent Space
3. Differential Forms
4. The Concept of Orientation
5. Integration on Manifolds
6. Manifolds-with-Boundary
7. The Intuitive Meaning of Stokes's Theorem
8. The Wedge Product and the Definition of the Cartan Derivative
9. Stokes's Theorem
10. Classical Vector Analysis
11. De Rham Cohomology
12. Differential Forms on Riemannian Manifolds
13. Calculations in Coordinates
14. Answers to the Test Questions

The book concludes with Bibliography and Index.