Second Year Calculus From Celestial Mechanics to Special Relativity

ISBN-10: 038797606X
ISBN-13: 9780387976068
Edition: 1991 (Reprint)
List price: $74.95 Buy it from $25.08
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Description: 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  More...

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Book details

List price: $74.95
Copyright year: 1991
Publisher: Springer
Publication date: 3/30/2001
Binding: Paperback
Pages: 404
Size: 6.25" wide x 9.50" long x 0.75" tall
Weight: 1.232
Language: English

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.

F=ma
Vector Algebra
Celestial Mathematics
Differential Forms
Line Integrals, Multiple Integrals
Linear Transformations
Differential Calculus
Integration by Pullback
Techniques of Differential Calculus
The Fundamental Theorem
E=mc^2

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