Synopses & Reviews
Differential forms are a powerful computational tool used in advanced mathematics. Until this text, multivariable calculus was taught mostly using the outdated notions of vector fields and related matters. Theuse of differential forms unifies the subject and makes it more understandable, so students learning the subject from this book should emerge with a better conceptual understanding of it.
* Treats vector calculus using differential forms
* Presents a very concrete introduction to differential forms
* Develops Stokess theorem in an easily understandable way
* Gives well-supported, carefully stated, and thoroughly explained definitions and theorems.
* Provides glimpses of further topics to entice the interested student
Synopsis
Differential forms are a powerful mathematical technique to help students, researchers, and engineers solve problems in geometry and analysis, and their applications. They both unify and simplify results in concrete settings, and allow them to be clearly and effectively generalized to more abstract settings. Differential Forms has gained high recognition in the mathematical and scientific community as a powerful computational tool in solving research problems and simplifying very abstract problems. Differential Forms, 2nd Edition, is a solid resource for students and professionals needing a general understanding of the mathematical theory and to be able to apply that theory into practice.
- Provides a solid theoretical basis of how to develop and apply differential forms to real research problems
- Includes computational methods to enable the reader to effectively use differential forms
- Introduces theoretical concepts in an accessible manner