Top critical review
3 people found this helpful
Not one of the best books of Professor Nahin
on October 22, 2008
Well this time I don't agree with reviewers above in the sense that if we liked An Imaginary Tale, then this book would like us too.
Certainly I enjoyed a great deal An Imaginary Tale, but I hoped I would find much more in Dr Euler's Formula, as I was really very impressed the first time I met -in my second year of electrical engineering- the most beautiful equation in mathematics, as professor Nahin has pointed out, but I really was very dissapointed, that in this new book I did not find anything about the fact that Dr. Euler's Fabulous Formula is most remarkable because even with differentiation and integration the mathematical operations that represent change, Euler's Identity remains with the same form, except for being affected by the square root of minus one, i.e., by a process of rotation.
It is this remarkable property the one that permits
"to reduce steady-state sinusoidal problems to forms which are identical to those for resistive networks."
and that made that Charles Steinmetz was called
"the wizard who generated electricity from the square root of minus one"
when the great historical struggle between AC and DC current was solved by that famous paper of Steinmetz.
Yes, it was this remarkable property that made me think that Dr. Euler's Formula could cure not only many mathematical ills, but physical ones such as those of deducing both the pendulum formula and the Complex Schrodinger's wave equation, based in a complex metrics in which Euler's identity plays the fundamental role, an exercise that I did many years ago and put somewhere at LANL.
Of course, I highly recommend this book by professor Nahin, as you will find in it a real complement to Fourier series and Integrals and to the study of Dirac's impulse function in chapters 4 and 5 and an important application to electronics in chapter 6.