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Who Is Fourier?: A Mathematical Adventure Paperback – April 1, 1995

by Transnational College of LEX (Author)

55 customer reviews

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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.

Who Is Fourier?: A Mathematical Adventure

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Editorial Reviews

About the Author

The Transnational College of LEX (TCL) in Tokyo, Japan, is a research institute run by the Hippo Family Club, an organization dedicated to the natural acquisition of multiple languages and to cultural exchange programs. At TCL the students study subjects related to the natural science of language and humanity. They approach mathematics, physics, biology, and other subjects from a viewpoint that transcends disciplines. The students are especially interested in investigating how humans acquire language and ways of developing a natural learning environment. TCL students gather information, research, and discover together. They are aided by Senior Fellows, experts in their fields who advise the students and who are invited to speak about topics of interest in their own research.

Product details

Paperback: 435 pages
Publisher: Language Research Foundation; First Printing edition (April 1, 1995)
Language: English
ISBN-10: 0964350408
ISBN-13: 978-0964350403
Product Dimensions: 11 x 8.5 x 1 inches
Shipping Weight: 2.4 pounds (View shipping rates and policies)
Average Customer Review: 55 customer reviews
Amazon Best Sellers Rank: #938,492 in Books (See Top 100 in Books)
- #654 in Books > Science & Math > Mathematics > Mathematical Analysis

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Top customer reviews

Excellent Self Learning Tool

ByDaniel Lyleon January 27, 2012

Format: PaperbackVerified Purchase

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.

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"Who is Fourier?" reviewed

ByVilla Adoquinoon February 17, 2012

Format: PaperbackVerified Purchase

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.

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Great handholding to learn Fourier Series math

ByAnnieon January 27, 2013

Format: PaperbackVerified Purchase

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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Very well written summary of Fourier analysis

ByA. J. Rosson October 2, 2009

Format: PaperbackVerified Purchase

I have read through most of the book. In general, this is an excellent introduction to the concept of Fourier analysis. It covers the basic concepts quite well. What I found quite interesting is that the authors of this book were able to take a relatively complicated idea and break it down and explain it in plain language, so that the reader developed an intuitive understanding of the concepts. The math in this book is a little heavy, and a familiarity with advanced algebra is necessary, and some background in calculus is helpful but not essntial because the authors do provide some background material in that area.

I used this book as a supplement to an engineering math course, and the explanations here were quite helpful to me in understanding the fundamental ideas.

My only complaint is that some of the cutesy stuff was a little distracting for me. When the authors stuck to straight language in explaining the material the book is at its best. Overall I highly recommend this book.

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Excellent intro to wave mechanics

ByBrianon February 6, 2010

Format: PaperbackVerified Purchase

I've taken many physics and engineering courses that use wave equations in one form or another. What they all lacked, however, was the overarching principles that tied wave equations in one discipline to wave equations in another. This book explains those connections and how one complicated wave equation can be broken down into its constituent parts. I highly recommend this book to those who love science but struggle with the math behind periodic systems.

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Most recent customer reviews

Interesting format. Requires more than one reading, but ...

Interesting format. Requires more than one reading, but so does any book of real depth.

Published 1 year ago by Gary A.

Excellent book.

I highly recommend it.

Published 1 year ago by Mimi

Book is fine. It presents a complex topic at an introductory ...

Book is fine. It presents a complex topic at an introductory level. It is a little odd that they do not discuss
computer programs that carry out the Fourier transform.

Published on July 25, 2015 by Chuck

A gentle, methodical introduction to this major tool of electrical engineering

I wish I had this book when I entered engineering school. In school the concept of Fourier and Laplace transforms were thrown at the student by a math teacher who really did not...Read more

Published on August 25, 2014 by Jean

It is a good idea to write a book for beginners with a soft start into fourier series. But this book is just boring. The book has 400 pages but 50-100 would be enough.Read more

Published on November 13, 2013 by Karl der Kleine

Great book for kids that dont think they can do higher math

this book is all about sound, and what sound waves are about. But it teaches math from simple algbra to intigral calculus.Read more

Published on April 8, 2013 by Ray E Broomall

execelente libro

me gusto el libro y recomiendo que lo compren, el vendedor fue muy amable y en todo momento se preocupo porque llegara bien.

Published on March 2, 2013 by jm

You should read it If you want to understand about Fourier analysis

The best book I have ever read, If you wish to understand difficult and hard to learn concept as Fourier analysis is then you should read this book.Read more

Published on March 14, 2012 by nemos

A Book for all Levels

This is an incredible book. The most amazing thing about this book is that it is so simple and yet it teaches the most complex concepts so that a child can understand.Read more

Published on January 2, 2012 by Warren Mack

Depends on the audience

This is the kind of book I would recommend to someone who had never done calculus.
For that it is remarkable and deals with fourier series and transforms in great detail,...Read more

Published on September 3, 2011 by M. Henri De Feraudy

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