Advanced Calculus - A Differential Forms Approach

This book is a high-level introduction to vector calculus based solidly on differential forms. Informal but sophisticated, it is geometrically and physically intuitive yet mathematically rigorous. It offers remarkably diverse applications, physical and mathematical, and provides a firm foundation for further studies.

List of contents

Summary of the Contents
1. Constant Forms
2. Integrals
3. Integration and Differentiation
4. Linear Algebra
5. Differential Calculus
6. Integral Calculus
7. Practical Methods of Solution
8. Applications
9. Further Study of Limits

Report

"This book can serve as a delightful guide to advanced calculus, giving firm foundations to further studies." Acta Sci. Math "An inviting, unusual, high-level introduction to vector calculus, based solidly on differential forms. Superb exposition: informal but sophisticated, down-to-earth but general, geometrically and physically intuitive but mathematically rigorous, entertaining but serious. Remarkably diverse applications, physical and mathematical." (The American Mathematical Monthly)

Product details

• Authors: Harold M Edwards, Harold M. Edwards
• Publisher: Springer, Basel
• Languages: English
• Product format: Hardback
• Released: 01.01.1960
• EAN: 9780817637071
• ISBN: 978-0-8176-3707-1
• No. of pages: 508
• Weight: 1062 g
• Illustrations: xv, 508 pp. 89 figs.
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis