书目名称 | Second Year Calculus |
副标题 | From Celestial Mecha |
编辑 | David M. Bressoud |
视频video | http://file.papertrans.cn/864/863166/863166.mp4 |
丛书名称 | Undergraduate Texts in Mathematics |
图书封面 |  |
描述 | .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 carries 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. |
出版日期 | Textbook 1991 |
关键词 | calculus; differential calculus; integral; integration |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4612-0959-1 |
isbn_softcover | 978-0-387-97606-8 |
isbn_ebook | 978-1-4612-0959-1Series ISSN 0172-6056 Series E-ISSN 2197-5604 |
issn_series | 0172-6056 |
copyright | Springer Science+Business Media New York 1991 |