TITLE: A GEOMETRIC APPROACH TO DIFFERENTIAL FORMS, 2ND
EDITION
PUBLISHER: SPRINGER LANGUAGE: ENGLISH
LINK: http://is.gd/mM6ROn RELEASE TYPE: RETAIL
FORMAT: PDF RELEASE DATE: 2015.01.13
ISBN: 9780817683047 STORE DATE: 2012
SAVED.MONEY: 33 EURO DISKCOUNT: 01 x 05MB
AUTHOR: BACHMAN, DAVID
BOOK
"[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