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Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem
by
Simon Singh
xn + yn = zn, where n represents 3, 4, 5, ...no solution
"I have discovered a truly marvelous demonstration of this proposition which this margin is too narrow to contain."
With these words, the seventeenth-century French mathematician Pierre de Fermat threw down the gauntlet to future generations.What came to be known as Fermat's Last Theorem looked simple; proving it, howe ...more
"I have discovered a truly marvelous demonstration of this proposition which this margin is too narrow to contain."
With these words, the seventeenth-century French mathematician Pierre de Fermat threw down the gauntlet to future generations.What came to be known as Fermat's Last Theorem looked simple; proving it, howe ...more
Paperback, 315 pages
Published
September 8th 1998
by Anchor
(first published 1997)
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1-30
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3,000)
Oct 07, 2014
David
rated it
5 of 5 stars
Recommended to David by:
Krishna
Shelves:
history,
mathematics
Simon Singh has the ability to present a story about a mathematics problem, and tell it like a detective story. He makes the subject exciting, even though the outcome is well known. Singh intersperses history with discussions about the mathematics, and makes it quite understandable.
Singh starts with the roots of the famous Fermat's Last Theorem, by recounting the stories and mathematics of Pythagoras, Euclid, and Euler. Other, less well-known mathematicians are also given credit, for example So ...more
Singh starts with the roots of the famous Fermat's Last Theorem, by recounting the stories and mathematics of Pythagoras, Euclid, and Euler. Other, less well-known mathematicians are also given credit, for example So ...more
“সমকোণী ত্রিভুজের অতিভুজের ওপর অঙ্কিত বর্গক্ষেত্রের ক্ষেত্রফল অপর দুই বাহুর ওপর অঙ্কিত বর্গক্ষেত্রদ্বয়ের ক্ষেত্রফলের সমষ্টির সমান”-বাংলা মধ্যম শিক্ষা ব্যবস্থার ছাত্র-ছাত্রীরা বিজ্ঞান, ব্যবসা, মানবিক ইত্যাদি ‘শ্রেণীগত পার্থক্য’ভেদে সকলেই নবম শ্রেণীতে ‘পীথাগোরাসের উপপাদ্য’ নামে পরিচিত উপপাদ্য-২৩ পড়ে এসেছেন।
চিত্রের সমকোণী ত্রিভুজের (অর্থাৎ যে ত্রিভুজের একটি বাহু অপর বাহুর সাথে ৯০ ডিগ্রী কোণে অবস্থিত) অতিভুজ c, লম্ব a এবং ভূমি b। পীথাগোরাসের উপপাদ্য অনুসারে a^2 + b^2 = c^2। a, b এবং c এর কিছু মান বস ...more
চিত্রের সমকোণী ত্রিভুজের (অর্থাৎ যে ত্রিভুজের একটি বাহু অপর বাহুর সাথে ৯০ ডিগ্রী কোণে অবস্থিত) অতিভুজ c, লম্ব a এবং ভূমি b। পীথাগোরাসের উপপাদ্য অনুসারে a^2 + b^2 = c^2। a, b এবং c এর কিছু মান বস ...more
What a fun book this was (thanks, Trevor, for the recommendation)! There are many reasons I think I like (good) nonfiction -- a sense of direct relevance, gravitas, frequent insights into the workings of the universe (and people), but mostly for knowledge narcs -- high levels of information density served up into an intriguing package by someone else who has undertaken the heavy lifting (research, organization, thinking). So, here in Singh's work I get a solid lay understanding not only of the p
...more
Dec 03, 2011
Riku Sayuj
rated it
4 of 5 stars
·
review of another edition
Recommended to Riku by:
Japesh Jayadevan
Simon converts what could have been a dry chronicle of proofs into an ode full of excitement, inspiration and intrigue worthy of a gothic love affair. Full review to follow.
This is the kind of book that we non mathematical minds can easily digest and love. It gives you an epic scope of the number of minds that it takes to build new ideas. I doubt if Fermat had actually solved this theorem correctly, but this is impossible to prove. Fermat's theorem however was not impossible to prove! It was solved! Thanks to the efforts of many men (and women!) over many lifetimes and one final man who had the determination and persistence to finish the unthinkable. This book has
...more
Nov 04, 2012
Milica Chotra
rated it
3 of 5 stars
·
review of another edition
Recommended to Milica by:
Mladen
Vodeći nas kroz istoriju matematike i teorije brojeva, Singh pripoveda uzbudljivu priču o problemu koji je mučio matematičare od 17. veka, pa sve do oktobra 1994. godine, kada je Andrew Wiles konačno kompletirao svoj dokaz pretpostavke koju je formulisao Pierre de Fermat 1637. godine.
Ovaj "princ svih amatera", koji je radio izolovan od matematičke zajednice, uživao je u rešavanju problema, ali nije se trudio da ponudi potpunija objašnjenja, često izazivajući kolege da ih dokažu i pokažu da su do ...more
Ovaj "princ svih amatera", koji je radio izolovan od matematičke zajednice, uživao je u rešavanju problema, ali nije se trudio da ponudi potpunija objašnjenja, često izazivajući kolege da ih dokažu i pokažu da su do ...more
A fantastically entertaining and educational book about the quest to solve the oldest math problem: Fermat's Last Theorem. The intrigue, mystery, and drama surrounding the famous theorem without a proof (but that Fermat had said he had a proof for, just not enough space to write it in the margins) is exciting enough. All the math greats who have attempted to solve it but come up a little short, or a lot short.
But it's much more than that, since the final proof of Fermat's Theorem involves so man ...more
But it's much more than that, since the final proof of Fermat's Theorem involves so man ...more
If you buy the latest Jilly Cooper instead of this you WILL go to hell!
This one languished on my bookshelf for the best part of a year as I was too scared to pick it up & start it. What held me back is what will probably put a lot of other potential readers off trying it - the boring old "I'm no good at maths" argument. Although my maths education is probably little above average (a good O Level and a terrible A Level, after which I rallied somewhat to obtain a reasonable HNC maths module) i ...more
This one languished on my bookshelf for the best part of a year as I was too scared to pick it up & start it. What held me back is what will probably put a lot of other potential readers off trying it - the boring old "I'm no good at maths" argument. Although my maths education is probably little above average (a good O Level and a terrible A Level, after which I rallied somewhat to obtain a reasonable HNC maths module) i ...more
This book is as interesting as a detective story while being about quite advanced mathematics - as such it is quite a book showing the remarkable skill of its writer to explain complex ideas in ways that are always readable and enjoyable.
A mathematician finds a simple proof to what seems like a deceptively simple problem of mathematics - that pythagoras's theorem only works if the terms are squared, and not if they are any other power up to infinity. Sounds dull. Except that the mathematician jo ...more
A mathematician finds a simple proof to what seems like a deceptively simple problem of mathematics - that pythagoras's theorem only works if the terms are squared, and not if they are any other power up to infinity. Sounds dull. Except that the mathematician jo ...more
I guess the author does a reasonable job. But when I reached the end, I still didn't feel I understood at all how the proof worked. Probably that's just because it's so bloody hard. I got a lot more though out of Prime Obsession, Derbyshire's book on the Riemann Hypothesis, where the author opens up the box and shows you some of the actual math...
"My butter, garcon, is writ large in!"
a diner was heard to be chargin'.
"I HAD to write there,"
exclaimed waiter Pierre,
"I couldn't find room in the margarine."
Ever since I recently stumbled upon the documentary called 'The Proof' I've become extremely interested (almost obsessed) in Wiles's proof of Fermat's last Theorem and have been searching for a good book that would provide me with a real, mathematical explanation of it (mainly the connection between modular forms and elliptic curves), becau ...more
a diner was heard to be chargin'.
"I HAD to write there,"
exclaimed waiter Pierre,
"I couldn't find room in the margarine."
Ever since I recently stumbled upon the documentary called 'The Proof' I've become extremely interested (almost obsessed) in Wiles's proof of Fermat's last Theorem and have been searching for a good book that would provide me with a real, mathematical explanation of it (mainly the connection between modular forms and elliptic curves), becau ...more
http://iandbooks.wordpress.com
In a way this book “Fermat’s Last Theorem” is a fantasy come true. To be able to read about complex Mathematics in a story book style is something that was possible only in this book by Simon Singh. Before I picked up this book I had no idea about Fermat’s last theorem or its significance. I just read the summary on the back page and felt like picking up the book and once I started reading it, there was no stopping it, though I did skipped over complex mathematical ...more
In a way this book “Fermat’s Last Theorem” is a fantasy come true. To be able to read about complex Mathematics in a story book style is something that was possible only in this book by Simon Singh. Before I picked up this book I had no idea about Fermat’s last theorem or its significance. I just read the summary on the back page and felt like picking up the book and once I started reading it, there was no stopping it, though I did skipped over complex mathematical ...more
Math was one of my favorite subjects in school. I loved learning algebra and I enjoyed calculus in high school and college. I also take pleasure in doing logic puzzles now and then. But I can't imagine myself doing it for a living, filling my brain with numbers day in and day out.
So it's fascinating for me to read about people throughout history who did do this, who devoted their lives in search of mathematical truths. The author explains clearly why figuring out absolute mathematical proof is i ...more
So it's fascinating for me to read about people throughout history who did do this, who devoted their lives in search of mathematical truths. The author explains clearly why figuring out absolute mathematical proof is i ...more
Absolutely fantastic.
The descriptions of all the maths and discoveries in this book are nothing short of joyful, and I felt so excited to be reading all of it. The book explains and shows why math is so amazing, how it is a divine language that describes something (i.e., number properties and their relationships) that exists outside of the physical world, how mathematicians are then often more in search of a truth in the real sense of the word than in search of a practical application or an expl ...more
The descriptions of all the maths and discoveries in this book are nothing short of joyful, and I felt so excited to be reading all of it. The book explains and shows why math is so amazing, how it is a divine language that describes something (i.e., number properties and their relationships) that exists outside of the physical world, how mathematicians are then often more in search of a truth in the real sense of the word than in search of a practical application or an expl ...more
Fermat's Enigma is the first nonfiction book I have read in a while, and it exceeded my initially non-optimistic expectations in several ways. This book discusses Fermat's Last Theorem, one of the most famous mathematical problems ever known to man. x^2+y^2=z^2 is a very familiar problem, appears frequently in mathematics, including in the Pythagorean Theorem for the relationship of Side Lengths of Right triangles. x^3+y^3=z^3 is a very similar problem, except for the fact that there are no real
...more
What an incredibly inspiring book!! My husband gifted this book to me in 2008, with a note "We'll let our dreams guide us forever". Though his note kept beckoning me to read the book, the book's rather heavy title kept me away from picking it up (even though my favorite subject in high-school was Math). Now that I've read the book, I realize how misguided my apprehension was.
Simon Singh weaves such a wonderful tale of intrigue, passion, gossip, heartbreak, and persistence that surrounded the pr ...more
Simon Singh weaves such a wonderful tale of intrigue, passion, gossip, heartbreak, and persistence that surrounded the pr ...more
Reading this book I caught a glimpse of the rarefied atmosphere of mathematicians and their processes of discovery. I don't do mathematics and haven't studied anything beyond the bare minimum required for a Bachelor's degree, but I find something wonderful about the pursuits of people like Andrew Wiles and the number theorists who spend years of their lives working on a set of problems. Wiles's obsessive mindset and solitary quest reminded of Ron Carlson's short story "Towel Season" and I wonder
...more
Lectura en 2012
Este año tomé nuevamente el libro del Enigma de Fermat, símplemente porque me gustó bastante
Las matemáticas fueron una de esas cosas con las que siempre tuve un romance eterno. Leyendo nuevamente pude recordar esos episodios en clases en que el maestro en turno llegó un día y anotó este mismo teorema en la pizarra. Nos dejó toda la clase tratando de solucionarlo y obviamente al final nos informó que el mismo no estaba resuelto (o al menos eso recuerdo, porque en ese año ya debería ...more
Este año tomé nuevamente el libro del Enigma de Fermat, símplemente porque me gustó bastante
Las matemáticas fueron una de esas cosas con las que siempre tuve un romance eterno. Leyendo nuevamente pude recordar esos episodios en clases en que el maestro en turno llegó un día y anotó este mismo teorema en la pizarra. Nos dejó toda la clase tratando de solucionarlo y obviamente al final nos informó que el mismo no estaba resuelto (o al menos eso recuerdo, porque en ese año ya debería ...more
This book is about the history of mathematicians trying to find a proof for Fermat's theorem, formulated 350 years ago. Pierre de Fermat, the great French mathematician, postulates that
x^n + y^n = z^n
has no non-zero integer solutions for x, y and z when n > 2. Fermat also wrote that he has discovered a truly remarkable proof which his notebook margin was too small to contain.
That set the mathematical community to find the 'elegant' proof that Fermat talked about. After almost 150 years, th ...more
x^n + y^n = z^n
has no non-zero integer solutions for x, y and z when n > 2. Fermat also wrote that he has discovered a truly remarkable proof which his notebook margin was too small to contain.
That set the mathematical community to find the 'elegant' proof that Fermat talked about. After almost 150 years, th ...more
Jun 18, 2014
Vivi Vocat
rated it
3 of 5 stars
·
review of another edition
Shelves:
philosophy-science-guide
The book is a quick read. There is just enough information in it for a layman to know sufficiently about the Fermat's Last Theorem and its proof to be able to boast at a coffee table discussion with friends. And that's all.
While a good portion of the story covers a wide span in history, much of the story is a limited biography of Andrew Wiles, the mathematician responsible for the poof of Fermat's Last Theorem. However, as with any retelling of historical events, Singh offers a subjective view t ...more
While a good portion of the story covers a wide span in history, much of the story is a limited biography of Andrew Wiles, the mathematician responsible for the poof of Fermat's Last Theorem. However, as with any retelling of historical events, Singh offers a subjective view t ...more
This is a fun read: a slice of mathematics history from Pythagoras to current day. Pierre de Fermat held 'amateur' status as a mathematician but is credited with advancing number theory among other things. As an amateur he rarely, if ever, submitted proofs of his work. Many of his contributions became known after his death when his son gathered his papers and published them. Among these works was a scribble made in the margin of a book in which he asserted that there is no integer solution for t
...more
A genuinely thrilling book about mathematics. I was actually holding my breath at the climax of the book. Singh makes the complicated and esoteric mathematics comprehensible (by and large) even for the dullest of laymen eg me. Gives a clear idea of why people can spend their lives fascinated by maths.
Simon Singh puts together a fascinating account of the 350 years of trials and tribulations of the mathematicians focused on proving or disproving Fermat's famous theorem. You don't need to be a math geek to understand what is going on, but if you remember any of your high school mathematics, particularly with respect to Pythagoras' Theorem, you might find it a little more gripping. If you don't, the appendices will bring you up to speed quickly; in fact, I recommend reading them before diving i
...more
Mar 29, 2008
Anna
rated it
4 of 5 stars
Recommends it for:
all who're interested in maths but not necessarily experts at it
Finished. I have to admit I got completely lost in the last fourth of the book, where he discussed the modular somethings (equations, perhaps). It still is s really great book though.
**re-reading**
After 'White Dog', I strongly felt the need for something neat. Re-reading this is like plunging into a cool ocean.
______original review: ______
After I had finished his Code Book, I picked this one up. I always loved maths in school...trying to find a patterns, solving the problems etc but I major in p ...more
**re-reading**
After 'White Dog', I strongly felt the need for something neat. Re-reading this is like plunging into a cool ocean.
______original review: ______
After I had finished his Code Book, I picked this one up. I always loved maths in school...trying to find a patterns, solving the problems etc but I major in p ...more
This review has been hidden because it contains spoilers. To view it,
click here.
A joyous adventure starting from when Fermat posited his conjecture (no whole number solutions in x,y,z for n > 2 for x^n + y^n = z^n) to its status as a theorem with proof by Andrew Wiles in the late 90s, and all the attempts to prove it in between. What I liked most about it is the historical development of number theory (in the context of proving the conjecture) with all the hits and misses, and the story of the mathematicians who strove mightily to close the case. Sadly, the major breakth
...more
Really (I can't believe I'm writing this) a fun book about mathematics and the history of math. Even though I didn't understand anything having to do with modular equations, it was written well enough that I could get the gist of what was going on. Cool, cool, stuff. Blew my mind a bit, which is always a good thing.
This is an excellent book about one of the most difficult problems in the history of Mathematics - prove that no three positive integers x, y and z can satisfy the equation xⁿ + yⁿ = zⁿ for a given positive integer n greater than two (I have discovered a very elegant proof myself, but there is not enough space in here :)). The book goes all the way back to Pythagoras and the ancient Greek mathematicians and arrives in the 90's of the twentieth century. A great journey in time, describing the gre
...more
Perfect numbers. Complete numbers. Irrational numbers. Friendly numbers. Imaginary numbers. Negative numbers.Method of infinite descent. Who knew math could describe the ways of the heart so well? I think that what I liked the most about this book is that I was actually able to understand a good sixty percent of it. With the other forty percent, I proceeded on faith. Come to think of it, those percentages hold true for the rest of my life. There are times when your best bet is to find a good mat
...more
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Mansfield Public ...: The"Fermat's Enigma" review by Erica Blum | 1 | 4 | Jul 13, 2014 04:32PM | |
Science and Natur...: March 2012 - Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem by Simon Singh | 2 | 33 | Mar 02, 2012 01:57AM |
Simon Lehna Singh, MBE (born 1 January 1964) is a British author who has specialised in writing about mathematical and scientific topics in an accessible manner. He is the maiden winner of the Lilavati Award.
His written works include Fermat's Last Theorem (in the United States titled Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem), The Code Book (about cryptogra ...more
More about Simon Singh...
His written works include Fermat's Last Theorem (in the United States titled Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem), The Code Book (about cryptogra ...more
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“What is the least number of weights that can be used on a set of scales to weigh any whole number of kilograms from 1 to 40?”
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“Pascal was even convinced that he could use his theories to justify a belief in God. He stated that ‘the excitement that a gambler feels when making a bet is equal to the amount he might win multiplied by the probability of winning it’. He then argued that the possible prize of eternal happiness has an infinite value and that the probability of entering heaven by leading a virtuous life, no matter how small, is certainly finite. Therefore, according to Pascal’s definition, religion was a game of infinite excitement and one worth playing, because multiplying an infinite prize by a finite probability results in infinity.”
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