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## Undergraduate Texts in Mathematics: Vector Analysis (Hardback)"Classical vector analysis deals with vector fields; the gradient, divergence, and curl operators; line, surface, and volume integrals; and the integral theorems of Gauss, Green, and Stokes. Modern vector analysis distills these into the Cartan calculus and a general form of Stokes's theorem. This essentially modern text carefully develops vector analysis on manifolds, reinterprets it from the classical viewpoint (and with the classical notation) for three-dimensional Euclidean space, and then goes on to introduce de Rham cohomology and Hodge theory." — From the back cover ## $27.95 |

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Please contact us if you've got questions about this product.## Condition

**LIKE NEW:** This book is in excellent, like-new condition. It was printed on acid-free paper.

## Description

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.

## Details

- SKU:
- 1857
- Subject:
- Mathematics
- Author:
- Jänich, Klaus
- Publisher:
- Springer
- Publish Date:
- 2001 (First Printing of the translation of the second German edition of 1993)
- Format:
- Hardback
- Weight (pounds):
- 1.43
- Dimensions (W”xL”xH”):
- 7.1″x9.5″x0.9″
- ISBN-13:
- 9780387986494
- ISBN-10:
- 0387986499
- Grade Level:
- College
- Series:
- Undergraduate Texts in Mathematics (UTM)

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