David M. Bressoud
Second Year Calculus: from Celestial Mechanics to Special Relativity
- ISBN 13:
- 9780387976068
- author:
- David M. Bressoud
- format:
- Paperback
- publisher:
- Springer-Verlag New York Inc.
- language:
- English
- Publication Year:
- 2001
- Pages:
- 404
- Genre:
- Mathematics Textbook
- Condition:
- New
- Availability:
- Item usually sent within 5 working days
Description
Second Year Calculus: From Celestial Mechanics to Special Relativity explores the development of multi-variable and vector calculus, focusing on the historical physical problems that led to the creation of these concepts.
The book takes the reader on a journey from the mechanized view of the world in Isaac Newton's Mathematical Principles of Natural Philosophy to the dawn of a new era in Albert Einstein's Special Theory of Relativity.
Through the use of differential forms, students learn to compute orbits and rocket trajectories, model flows and force fields, and derive the laws of electricity and magnetism, gaining a deeper understanding of the interaction between physics and mathematics.