Differential forms eat tangent vectors, spit out numbers and do this in an alternating multilinear fashion. These properties make differential forms an essential tool for doing calculus on manifolds and thus of great interest to mathematicians and physicists. This book is aimed at the general reader who is interested in tackling a relaxed but wide-ranging introduction to this fascinating subject. The only prerequisite is a reasonable foundation in advanced, school-level mathematics. The text includes numerous worked problems. Topics covered include:

An introduction to basic concepts.
How differential forms eat tangent vectors and spit out numbers.
Manipulating differential forms, including the wedge product, differentiation and integration.
How differential forms provide an alternative means of understanding three-dimensional vector calculus.
The generalised Stoke's theorem, which applies to manifolds of any dimension.
Maxwell's equations in the language of differential forms.
Using differential forms to prove three nice topological theorems, including the famous hairy ball theorem.

By the author of A Most Incomprehensible Thing: Notes Towards a Very Gentle Introduction to the Mathematics of Relativity (ISBN 9780957389465) and Movement of the Spheres: Basic Astronomical Calculations Explained With 29 Spreadsheets (ISBN 9780957389489).

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

Anbieterinformationen

BooksRun helps to save money on textbooks. We are committed to providing each customer with the highest standard of customer service. Please pay close attention to the description of the book and its condition you are ordering. If you have any questions or issues, please make sure to contact us first so we could resolve them. All orders are shipped on the same or the next business day. It usually takes 1 to 5 business days to receive your item if you choose expedited shipping. All orders submitted are eligible for a return within 30 days after the delivery. Thanks for shopping with us!

Zur Homepage des Verk�ufers