Download Who Is Fourier?: A Mathematical Adventure, by Transnational College of LEX
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Who Is Fourier?: A Mathematical Adventure, by Transnational College of LEX
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In Who is Fourier? A Mathematical Adventure, the student authors take the reader along on their adventure of discovery of Fourier's wave analysis, creating a work that gradually moves from basics to the more complicated mathematics of trigonometry, exponentiation, differentiation, and integration. This is done in a way that is not only easy to understand, but is actually fun!
Professors and engineers, with high school and college students following closely, comprise the largest percentage of our readers. It is a must-have for anyone interested in music, mathematics, physics, engineering, or complex science.
Dr. Yoichiro Nambu, 2008 Nobel Prize Winner in Physics, served as a senior adviser to the English version of Who is Fourier? A Mathematical Adventure.
- Sales Rank: #460911 in Books
- Brand: Brand: Language Research Foundation
- Published on: 1995-04-01
- Original language: English
- Number of items: 1
- Dimensions: .97" h x 8.51" w x 11.01" l, 2.40 pounds
- Binding: Paperback
- 435 pages
- Used Book in Good Condition
Most helpful customer reviews
1 of 1 people found the following review helpful.
Excellent Self Learning Tool
By Daniel Lyle
I learned Fourier Analysis in college including Digit Signal Processing and fortunately some general principles of the science stuck in my mind -- e.g. the idea that you could replicate the audio qualities of a concert hall by recording the impulse response (the audio response to a sudden impulse noise like a gunshot) and then using the principle of Convolution to consider any wave as a sum of impulses and therefore get that wave to sound like it was being played in that same concert hall by superposing and summing all the impulse responses to these sampled impulses of the wave in question.
However even the best of professors often assume basic prerequisite knowledge underpinning the courses they instruct. If there are any gaps in knowledge by the learning student, then they will struggle to take more and more on faith, when all they might need is a simple review of some of the basics, i.e. the gaps in their knowledge that makes the more complex principles of Fourier Analysis make sense.
Twenty years after college I ran across this book and found it very refreshing. It presents the knowledge in such a way that you know you're truly learning it because you can imagine yourself teaching someone else the same principles. It's not like college where you understand 80% of the course but 20% is just "monkey see, monkey do and monkey pass tests", perhaps even getting "A"'s but just out of sheer willpower and short term memorization, only to forget much of the course that didn't make any sense after it's all done.
The only parts of this book that I found irrelevent were the number crunching, paper cutting and pasting exercises, but I could see how these could be valuable for the young high-school student who is not as familiar with calculus and trigonometry and needs the manual exercises of crunching the numbers and entering them into tables in order to appreciate their relevance.
0 of 0 people found the following review helpful.
"Who is Fourier?" reviewed
By Villa Adoquino
The book is corny, weird, cartoony, and amateurish. That, believe it or not, is the book's strengths. Most books of this sort are dry; they do not have anything in them to help the imagination along. Those who read math books are prone to mental blocks. To unjam these mental blocks, one has to look at the subject through a different point of view. Points of view don't get any more different than this book, and I was able to unjam a few of my mental blocks on this one. The authors show that they are more aware than most other sctibes that entertainment is often an essential component of educating.
Now for some gratuitously picky criticism: This book is entitled "Who is Fourier?". I would like to know a few historical things about the man so I can tell him apart from the Economist of the same name or the Egyptologist. [Hey, wait a minute. . . He was that Egyptologist!]. What about his personal life? Maybe one of his love letters to Sophie Germain would spice up the book.
Seriously, lights turned on when I read this book. The early chapters showed how to use filters. The middle chapters are review that connect e, i, pi, and trigonometric functions together in preparation for the final chapters on the Fast Fourier Transform. The last 2 chapters on the FFT were the hardest, and I shall have to reread them. I am giving this 5 stars because it does teach a difficult subject in a most insightful and entertaining way. Nevertheless, I'd like to see what improvements are made in the Second Edition.
0 of 0 people found the following review helpful.
Great handholding to learn Fourier Series math
By Annie
I really enjoyed this book - it helped me learn some math I should have mastered 40 years ago. I needed to understand the Fourier series fundamentals so I could do some further studies on deriving a power spectrum (understand it instead of letting software kick out answers).
Pluses:
- Walks you through the reasoning and mechanics of the math
- Starts slowly with a couple of example problems which are explored in complete detail
- Gets you involved in doing the math hands on. There is no fallback to letting an advanced calculator or Excel spreadsheet do the work for you.
- By the end of the book you are working in the complex number format (i + j for the EE types).
Minuses:
- There are occasions where the lessons take a bit of a leap in understanding and you have to backtrack and figure out what's going on.
- Pages are filled with lots of side notes and doodles that are a bit of a distraction. But it does show that youngsters developed most of this stuff.
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