Résumé
Second Year Calculus: From Celestial Mechanics to Special
Relativity covers multi-variable and vector calculus,
emphasizing the historical physical problems which gave
rise to the concepts of calculus. The book guides us from
the birth of the mechanized view of the world in Isaac
Newton's Mathematical Principles of Natural Philosophy in
which mathematics becomes the ultimate tool for modelling
physical reality, to the dawn of a radically new and often
counter-intuitive age in Albert Einstein's Special Theory
of Relativity in which it is the mathematical model which
suggests new aspects of that reality. The development of
this process is discussed from the modern viewpoint of
differential forms. Using this concept, the student learns
to compute orbits and rocket trajectories, model flows and
force fields, and derive the laws of electricity and
magnetism. These exercises and observations of mathematical
symmetry enable the student to better understand the
interaction of physics and mathematics.
Contents
F=ma
- Vector Algebra
- Celestial Mechanics
- Differential Forms
- Line Integrals, Multiple Integrals
- Linear Transformations
- Differential Calculus
- Integration by Pullback
- Techniques of Differential Calculus
- The Fundamental Theorem of Calculus
- E=mc^2
- Appendices
- An Opportunity Missed
- Bibliography
- Clues and Solutions
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Springer |
| Auteur(s) | David M. Bressoud |
| Parution | 01/01/1991 |
| Nb. de pages | 386 |
| Format | 15,5 x 23,5 |
| Couverture | Broché |
| Poids | 565g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780387976068 |
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