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Five Equations that Changed World : The Power and Poetry of Mathematics by Michael Guillen. Hyperion Books,1995
- Sales Rank: #1593301 in Books
- Published on: 1995-01-01
- Binding: Paperback
Most helpful customer reviews
33 of 33 people found the following review helpful.
masterfully presented
By Michael R. Chernick
Michael Guillen has chosen five famous mathematician to describe. The theme for discussing the particular person is that he discovered an equation that changed the world. Each deals with a result in Physics. One could argue that others could be added to the list but there is no question that these are certainly all contenders for the top five. Guillen is a science editor for ABC and is a professor of physics and methematics. This combination makes him well suited to choose the equations and to describe the results and the men behind them to a layman. The five equations and their authors are 1) F=GxMxm/d^2 Newton and the Law of Universal Gravitation, 2) P+rhox 1/2 nu^2 =CONSTANT, Daniel Bernoulli and the Law of Hydrodynamic Pressure, 3)DelXE=-dB/dt, Michael Faraday and the law of electromagnetic induction, 4) Delta S universe > 0, Rudoph Clausius and the second law of thermodynamics and 5) E=mxC^2, Einstein and the special theory of relativity. I am sure we all expected 1 and 5 and depending on your knowledge of physics, the others may or may not be a bit of a surprise. Guillen spends a lot of pages describing the nature of the equation, the character of the inventor and the impact of the results on society (sometimes centuries later). Newton's laws were instrumental in developing guidance and tracking systems for artificial satellites, space shuttles and other objects launched into space in the 20th Century. Our landing on the moon would not have been possible without Newton's laws. This makes for interesting reading for anyone interested in mathematics or science. A good book for teenagers to read to develop motivation to study math and science and to aspire for a career as a scientist.
65 of 71 people found the following review helpful.
Engaging, Optimistic and Sloppy
By Joel M. Kauffman
Delightfully written, easy to follow, Guillen describes the personal situations and scientific context of Newton's Law of Gravitation, Bernoulli's Law of Hydrodynamic Pressure, Faraday's Law of Electromagnetic Induction, Clausius's Second Law of Thermodynamics, and Einstein's Theory of Special Relativity (the equivalence of mass and energy).
As is the recent custom outside of textbooks, Guillen has given an exceptional amount of personal detail, letting us be amazed once more about how much these five scientists achieved despite personal situations that varied from ordinary to awful. Furthermore, the resistance from other scientists of their times is still surprising to some of us, while the resistance of the Catholic Church is not.
Guillen's efforts to provide clear explanations for the discoveries mostly succeed, least well for Clausius's Second Law of Thermodynamics, in my opinion. Many clever similes are used. A better explanation of the inverted delta in Clerk-Maxwell's equation on Faraday's Law of Electromagnetic Induction is needed. Guillen defines it as "the amount of" (p158), while "the rate of change" might be better. The math does not go beyond high school algebra, with that one exception, so the mathematically challenged such as this reviewer need not fear.
What is very disappointing is the number of errors:
1. On p27 globes are said to 2-dimensional, when they are actually 3-dimensional; circles are 2-dimensional.
2. On p36 et seq planetary motion around the sun is said to follow oval paths, when the paths are actually elliptical. These are different shapes.
3. On p137 the Leyden jar was said to be the forerunner of the modern battery. In fact is was the ancestor of the modern capacitor.
4. On p139 Volta's piles were said to provide more current the higher the pile, meaning the more plates). In fact, more plates gave more voltage, not more current. The two terms are not interchangeable. The piles were said to be the ancestor of today's storage batteries, while, in fact, they were the precursor of today's "dry" cells, which are not rechargeable.
5. On p158 the general term "electricity" was used instead of the proper term "voltage" (E).
6. On p162 a perpetual motion machine seems to be described inadvertently by the supposed possibility of using an electric motor to spin a dynamo that, in turn, powers the motor. This is not possible, of course.
7. On p163 the term "current" is used instead of "voltage"; these have never been interchangeable. The current is the number of electrons passing a certain point per second, while voltage is the unit of electrical pressure.
8. On p163 the term "heat" is used instead of "temperature". Thermometers measure temperature; calorimeters measure heat.
9. On p187 there seems to be total confusion between heat capacity and conduction. The apple filling in a pie is mostly water which has high heat capacity and good conduction, so it is easy to be burned on hot filling. The crust is mostly carbohydrate with air pockets, almost a foam, and the combination of low heat content at a given temperature and poor conduction makes it harder to be burned by the hot crust.
10. On p246 the speed of light was said to be constant. This should have been qualified from the start as being in a vacuum, as was done from p248 et seq.
11. The gross structure of the atom was worked out by Ernest Rutherford et al. in 1911 by bombarding gold foil with a beam of alpha particles from radium, not in the 1930s with "atom smashers" (particle accelerators), p258.
12. Einstein's 1921 Nobel Prize in Physics was for his discovery of the photoelectric effect, not for quantum mechanics (p259), which Einstein never even accepted!
Other Amazon.com reviewers found other mistakes as well.
1 of 1 people found the following review helpful.
If you love math and literature read this!
By George McKeever
This guy knows how to write!
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