"e:" The Story of a Number Paperback – Feb 8 2009
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Until about 1975, logarithms were every scientist's best friend. They were the basis of the slide rule that was the totemic wand of the trade, listed in huge books consulted in every library. Then hand-held calculators arrived, and within a few years slide rules were museum pieces.
But e remains, the center of the natural logarithmic function and of calculus. Eli Maor's book is the only more or less popular account of the history of this universal constant. Maor gives human faces to fundamental mathematics, as in his fantasia of a meeting between Johann Bernoulli and J.S. Bach. e: The Story of a Number would be an excellent choice for a high school or college student of trigonometry or calculus. --Mary Ellen Curtin --This text refers to an alternate Paperback edition.
From Library Journal
Everyone whose mathematical education has gone beyond elementary school is familiar with the number known as pi. Far fewer have been introduced to e, a number that is of equal importance in theoretical mathematics. Maor (mathematics, Northeastern Illinois Univ.) tries to fill this gap with this excellent book. He traces the history of mathematics from the 16th century to the present through the intriguing properties of this number. Maor says that his book is aimed at the reader with a "modest" mathematical background. Be warned that his definition of modest may not be yours. The text introduces and discusses logarithms, limits, calculus, differential equations, and even the theory of functions of complex variables. Not easy stuff! Nevertheless, the writing is clear and the material fascinating. Highly recommended.
- Harold D. Shane, Baruch Coll., CUNY
Copyright 1994 Reed Business Information, Inc. --This text refers to the Hardcover edition.
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Top Customer Reviews
In the appendices, the proof of the constant angle between the radius and tangent for the logarithmic spiral is solved using complex numbers and conformal mapping. This is elegant in its simplicity but may be far from intuitive for many. An alternative method is to use rectangular coordinates with y = exp(a.theta)sin(theta), and x = exp(a.theta)cos(theta), and then expressing the tangent at a point on the curve with the derivative (dy/dtheta)/(dx/dtheta) and calling it tan(phi). The radius has angle theta, so we have tan(theta). Then we use the well-known identity for tan(phi - theta). Its a bit more lengthy but its also more intuitive to my way of thinking.
I found also, that the rectangular coordinate approach to the spiral length being equal to the tangential line segment from the tangent point to the vertical axis is a good alternative to the proof given in the appendices. It takes a bit more manipulation but is more intuitive for us with rectangular coordinate thinking. Its amazing how all the mess factors out when this approach is used.
Overall, I would highly recommend this book for those who would like to learn both the history, the significance, and the remarkable applications that spun out of this most important number we nowadays call "e". Many kudos to the author for stimulating my mind and making me aware of both the historical and the theoretical aspects of "e" that I never knew before. Well done!
I had always been wondering how people calculated logarithms initially and how logarithm was originated. Well, the story explained to me from the very beginning. Each chapter it tells me something interesting and beautiful that I did not know before. While most textbooks rarely spare the ink to tell the reader how and where some of the most important math ideas and formulas had come along, this book tells me in a gentle and lucid way. I consider this book to be a good friend and I suspect that perhaps even advanced learners may find it a enjoyable read as well. Well, I also think it will be very nice if calculus professors use this book as one of their references.
Most recent customer reviews
Some of the historical stuff is interesting but in Kindle format, the formatting of the formulae varies between text and images which makes it really tricky to decipher some of the... Read morePublished 14 months ago by R. A. Bruer
Not as good as the book the author is trying to emulate (Pi), but a good read nonetheless. Fascinating history, well written, easy to read, just enough math.Published on Aug. 7 2010 by Gord McKenna