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Second Year Calculus : From Celestial Mechanics To Special Relativity (91 Edition)

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Publisher Comments:

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.

Table of Contents

* 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

Product Details

ISBN:
9780387976068
Author:
Bressoud, David M.
Publisher:
Springer
Subject:
Calculus
Subject:
Mathematical Analysis
Subject:
Analysis
Subject:
Mathematics-Analysis General
Copyright:
Edition Description:
1991. Corr. 4th
Series:
Undergraduate Texts in Mathematics / Readings in Mathematics
Publication Date:
19910808
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
404
Dimensions:
235 x 155 mm 1250 gr

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Related Subjects

Reference » Science Reference » Technology
Science and Mathematics » Materials Science » General
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Physics

Second Year Calculus : From Celestial Mechanics To Special Relativity (91 Edition) Used Trade Paper
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Product details 404 pages Springer-Verlag,c1991. - English 9780387976068 Reviews:
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