Hesiod’s Anvil赫西奥德之砧
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作者： Andrew J. Simoson著
出 版 社：
出版时间： 2007-5-1字数：版次： 1页数： 344印刷时间： 2007/05/01开本： 16开印次： 1纸张： 胶版纸I S B N ： 9780883853368包装： 精装编辑推荐
作者简介：
Andrew J. Simoson earned a Ph.D. in mathematics under Leonard Asimow at the University of Wyoming in 1979, working on extensions of separating theorems in functional analysis. Since then, he has been chairman of the mathematics department at King College in Bristol, Tennessee, and has authored over thirty papers in various mathematical journals, seven of them being joint research with undergraduates. He has twice been a Fulbright professor, at the University of Botswana , 1990-91, and at the University of Dar es Salaam in Tanzania, 1997-98.
内容简介
This book is about how poets, philosophers, storytellers, and scientists have described motion, beginning with Hesiod, a contemporary of Homer, who imagined that the expanse of heaven and the depth of hell was the distance that an anvil falls in nine days. This book is aimed at students who have finished a year-long course in calculus, but it can be used as a supplemental text in calculus II, vector calculus, linear algebra, differential equations, and modeling. It blends with equal voice romantic whimsy and derived equations, and anyone interested in mathematics will find new and surprising ideas about motion and the people who thought about it. Some of the things readers will learn is that Dante's implicit model of the earth implies a black hole at its core; that Edmond Halley championed a hollow earth; and that Da Vinci knew that the acceleration due to the earth's gravity was a constant. There are chapters modeling Jules Verne's and H. G. Wells' imaginative flights to the moon and back, the former novelist using a great cannon and the latter using a gravity-shielding material. The book analyses Edgar Alan Poe's descending pendulum; H. G. Wells' submersible falling and rising in the Marianas Trench; a train rolling along a tunnel through a rotating earth; and a pebble falling down a hole without resistance. It compares trajectories of balls thrown on the Little Prince's asteroid and on Arthur C. Clarke's rotating space station, and it solves an old problem that was perhaps inspired by one of the seven wonders of the ancient world. The penultimate chapter is a story, based upon the Mayans, that loosely ties together the ideas about falling and spinning motion discussed in the book. Nearly all the chapters have exercises, some straightforward and some open ended.
目录
Introduction
preamble i I Hesiod's Muses
preamble ii II The Gravity of Hades
preamble iii III Ballistics
preamble iv IV Heavenly Motion
preamble v V Pendulum Variations
preamble vi VI Retrieving H. G. Wells from the Ocean Floor
preamble vii VII Sliding along a Chord through a Rotating Earth.
preamble viii VIII Falling through a Rotating Earth
preamble ix IX Shadow Lands
preamble x X The Trochoid Family
preamble xi XI Retrieving H. G. Wells from the Moon
preamble xii XII Playing Ball in a Space Station
preamble xiii XIII The Rotating Beacon
preamble xiv XIV The Long Count
preamble xv XV Hesiod's Anvil
Appendix Cast of Characters
Comments on Selected Exercises
References
About the Author
Index
