Second Year Calculus: From Celestial Mechanics to Special Relativity - Couverture souple

Bressoud, David M.

Couverture souple

ISBN 10 : 354097606X ISBN 13 : 9783540976066

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1991

Synopsis

"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 covers the ground 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 text shows the student how to compute orbits and rocket trajectories, model flows and force fields and how to derive the laws of electricity and magnetism. The exercises and observations of mathematical symmetry are designed to enable the student to better understand the interaction of physics and mathematics.

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 1991
• Langue: anglais
• ISBN 10: 354097606X
• ISBN 13: 9783540976066
• Reliure: Broché
• Nombre de pages: 397
• Coordonnées du fabricant: non disponible
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