A Geometric Approach to Differential Forms
AbeBooks Member Since 1996
AbeBooks Member Since 1996
About this Item
Title: A Geometric Approach to Differential Forms
About this title
This text presents differential forms from a geometric perspective accessible at the undergraduate level. It begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. The subject is approached with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually. Each new concept is presented with a natural picture that students can easily grasp. Algebraic properties then follow. The book contains excellent motivation, numerous illustrations and solutions to selected problems.From the Back Cover:
"[The author's] idea is to use geometric intuition to alleviate some of the algebraic difficulties...The emphasis is on understanding rather than on detailed derivations and proofs. This is definitely the right approach in a course at this level." ―MAA Reviews (Review of First Edition)
"The book certainly has its merits and is very nicely illustrated ... . It should be noted that the material, which has been tested already in the classroom, aims at three potential course tracks: a course in multivariable calculus, a course in vector calculus and a course for more advanced undergraduates (and beginning graduates)." ―Mathematical Reviews (Review of First Edition)
The modern subject of differential forms subsumes classical vector calculus. This text presents differential forms from a geometric perspective accessible at the advanced undergraduate level. The author approaches the subject with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually.
Each new concept is presented with a natural picture that students can easily grasp; algebraic properties then follow. This facilitates the development of differential forms without assuming a background in linear algebra. Throughout the text, emphasis is placed on applications in 3 dimensions, but all definitions are given so as to be easily generalized to higher dimensions.
The second edition includes a completely new chapter on differential geometry, as well as other new sections, new exercises and new examples. Additional solutions to selected exercises have also been included. The work is suitable for use as the primary textbook for a sophomore-level class in vector calculus, as well as for more upper-level courses in differential topology and differential geometry.
"About this title" may belong to another edition of this title.
For assistance with billing questions, please refer to our help page in abebooks. If you cannot find the answers you are seeking or have questions about your order you can contact us by emailing firstname.lastname@example.org. Responses to emails will be provided as soon as possible. For further information - (250) 361-4447
Shipping prices are based on books weighing 2.2 LB, or 1 KG. Canadian and U.S. orders sent with Automated Package Tracking and delivery confirmation, where available. If your book order is heavy or oversized, we may contact you regarding any extra shipping costs. Thank you! - Russell Books
accepted by seller