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Five Equations that Changed the World: The Power and Poetry of Mathematics

3.9 out of 5 stars 51 customer reviews
ISBN-13: 978-0786881871
ISBN-10: 0786881879
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Product Details

  • Paperback: 288 pages
  • Publisher: Hachette Books (August 29, 1996)
  • Language: English
  • ISBN-10: 0786881879
  • ISBN-13: 978-0786881871
  • Product Dimensions: 6.1 x 0.8 x 9.2 inches
  • Shipping Weight: 10.4 ounces (View shipping rates and policies)
  • Average Customer Review: 3.9 out of 5 stars  See all reviews (51 customer reviews)
  • Amazon Best Sellers Rank: #672,020 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

57 of 60 people found the following review helpful By V. N. Dvornychenko on February 15, 2002
Format: Paperback
You might characterize this book along the lines of "an opera book for people who think they don't like opera." The author, Dr. Michael Guillen, sets himself the formidable task of instilling into non-mathematicians an appreciation of the beauty and glory of mathematical equations. His approach is to take five historical figures, give a brief biography of each, select an equation best encapsulating their accomplishments, and explain this equation's relevance for contemporary society. The figures selected are Isaac Newton, Daniel Bernoulli, Michael Faraday, Rudolph Clausius, and Albert Einstein.
Is his format a good choice? Yes, perhaps among the best. Are the historical figures good choices? Yes again; but here one might quibble a bit: all the figures selected are male physicists who lived during the approximately 300-year time-span, 1640-1950. Were there no important equations prior to this? What about the Pythagorean theorem? Euclid's proof of the infinity of primes? Archimedes's formula for pi? The delFerro-Tartaglia-Cardano equations for the cubic? What about women?
Is his approach successful? Generally speaking, yes. It is not clear what readership Guillen has in mind. At first I though it might be your typical Scientific American reader. But the biographies tend toward a Horatio-Alger style, suggesting a younger audience.
Dr. Guillen's unique talent is his understanding of the relationship between religion and science. Although he treats the subject only briefly, I have never seen a better exposition in readily accessible material. As Guillen points out, this relationship has not always been favorable to religion. A comparison with the proverbial ingrate camel comes to mind: having inveigled its nose into the tent, the camel proceeds to evict the original tenants.
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32 of 32 people found the following review helpful By Michael R. Chernick on February 15, 2008
Format: Hardcover
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.
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61 of 67 people found the following review helpful By Joel M. Kauffman on March 13, 2003
Format: Hardcover
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.
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Five Equations that Changed the World: The Power and Poetry of Mathematics
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