Gerard Walschap
Multivariable Calculus and Differential Geometry (De Gruyter Textbook)
- ISBN 13:
- 9783110369496
- author:
- Gerard Walschap
- format:
- Paperback
- publisher:
- De Gruyter
- language:
- English
- Publication Year:
- 2015
- Pages:
- 355
- Dimensions:
- 23.9 x 17 x 2.3 cm
- Genre:
- Science & Nature, Mathematics, Education
- Condition:
- New
- Availability:
- Item usually sent within 10 working days
Description
This introduction to differential geometry covers the essential material from multivariable calculus, linear algebra, and basic analysis. It provides an intuitive approach that makes it accessible to students of mathematics and physics with minimal prerequisites.
The focus is on manifolds in Euclidean space, exploring how their metric properties are inherited from the underlying space. Topics include curvature and its impact on space shape, as well as the generalization of the fundamental theorem of calculus known as Stokes' theorem.