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From Pythagoras to Einstein

by K. O. Friedrichs (Author)
4.5 out of 5 stars 2 customer reviews
ISBN-13: 978-0883856161
ISBN-10: 0883856166
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Product Details

  • Paperback: 88 pages
  • Publisher: Mathematical Assn of Amer (June 1975)
  • Language: English
  • ISBN-10: 0883856166
  • ISBN-13: 978-0883856161
  • Product Dimensions: 0.5 x 6.2 x 9 inches
  • Shipping Weight: 2.4 ounces (View shipping rates and policies)
  • Average Customer Review: 4.5 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #2,699,390 in Books (See Top 100 in Books)

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17 of 17 people found the following review helpful
The Pythagorean theorem as a unifying theme
By Charles Ashbacher HALL OF FAMETOP 500 REVIEWERVINE VOICE on April 22, 2001
Format: Paperback
The mathematical theorem with the greatest name recognition is the Pythagorean theorem. Originating as an empirical fact used in land surveying, it is easy to prove and the number of distinct proofs is rather large. People from many walks of life have devised a proof, one of which was even the president of the United States (Garfield). The Pythagorean theorem is the unifying theme of the topics in this book. Considered as a special case of more general operations, it is the base for the explanation of some advanced physics and mathematics.
Vector analysis is a direct extension of the measuring of distance, in that direction is included. The basic operations on vectors involves the use of triangles, and the notion of perpendicular is based on the Pythagorean theorem. Since a vector can also denote velocity, it is an easy generalization to include the kinetic energy of motion. Finally, by adding in the potential energy of position and rest mass, the end result is a description of the special theory of relativity. Each step follows as a logical consequence of the previous, giving a unique and understandable derivation of the most famous equation of all e = m(c^2).
With the exception of the last chapters, where some of the transformations are mathematically more difficult, basic high school algebra is all that is needed to understand the material. Even then, a concerted effort will lead to understanding. This is an approach that can be used for several purposes, the foremost of which is to demonstrate how basic, empirical mathematics was the starting point for the development of explanations of the most complex phenomena.
I found this thematic approach to be a very successful one. This is a book that could be used as a supplement in high school and college physics courses. It would also work well as a demonstration of how applied mathematics led to a theorem which eventually led back to more applied mathematics.
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0 of 2 people found the following review helpful
An inspiring work
By Carol Elkins on May 11, 2014
Format: Paperback Verified Purchase
Since I am neither a scientist nor a mathematician, I can't follow all the arguments here presented. However, I believe in the premise- that Pythagoras was somehow able to grasp truths which could guide thinking, but not be proven until along came Einstein. This is not the kind of progress that considers the present superior to the past. It is the kind of progress which has the humility to see how amazing the past was. Between Pythagoras and Einstein there were millions of false ideas, yet, as Hamlet says, "Sit still my soul, foul deeds will rise, though all the world conceal from men's eyes."
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