Second year calculus : from celestial mechanics to special relativity
Author(s)
Bibliographic Information
Second year calculus : from celestial mechanics to special relativity
（Undergraduate texts in mathematics）
Springer-Verlag, c1991
- : us
- : gw
Available at / 56 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: us515/B7552070402688
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Note
Bibliographical references: p. [365]-366
Includes index
Description and Table of Contents
- Volume
-
: us ISBN 9780387976068
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 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
- Volume
-
: gw ISBN 9783540976066
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 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.
by "Nielsen BookData"