Fermats Letzter Satz Mehr zum Thema
Der Große Fermatsche Satz wurde im Jahrhundert von Pierre de Fermat formuliert, aber erst von Andrew Wiles bewiesen. Fermats letzter Satz: Die abenteuerliche Geschichte eines mathematischen Rätsels | Singh, Simon, Fritz, Klaus | ISBN: | Kostenloser Versand. Fermats letzter Satz: Die abenteuerliche Geschichte eines mathematischen Rätsels | Singh, Simon, Lynch, John, Fritz, Klaus | ISBN: Im Englischen wird der Satz als Fermat's Last Theorem bezeichnet, was im Deutschen manchmal (ungenau) als Fermats letzter Satz bzw. Fermats letztes. fand er den Beweis für Fermats Großen Satz. Und dann, buchstäblich in letzter Minute, hatte er plötzlich eine Idee, wie es zu lösen.
Thalia: Infos zu Autor, Inhalt und Bewertungen ❤ Jetzt»Fermats letzter Satz«nach Hause oder Ihre Filiale vor Ort bestellen! Im Englischen wird der Satz als Fermat's Last Theorem bezeichnet, was im Deutschen manchmal (ungenau) als Fermats letzter Satz bzw. Fermats letztes. Fermats letzter Satz Die abenteuerliche Geschichte eines mathematischen Rätsels Simon Singh Hanser, , Seiten, 24,90 € Taschenbuch: Dtv, , Kaufen Sie das Buch Fermats letzter Satz von Simon Singh direkt im Online Shop von dtv und finden Sie noch weitere spannende Bücher. Thalia: Infos zu Autor, Inhalt und Bewertungen ❤ Jetzt»Fermats letzter Satz«nach Hause oder Ihre Filiale vor Ort bestellen! Im Anschluß daran wird Fermats letzter Satz für die Fälle n = 3 und n = 4 bewiesen. Fermat selbst erbrachte bereits den Beweis für n = 4. Der britische Mathematiker Andrew Wiles feiert seinen Geburtstag. Er ist berühmt für seinen Beweis von Fermats letztem Satz – ein. Fermats letzter Satz Die abenteuerliche Geschichte eines mathematischen Rätsels Simon Singh Hanser, , Seiten, 24,90 € Taschenbuch: Dtv, ,
Fermats Letzter Satz Preise und AuszeichnungenAutoren und Schullesungen. Die zweite dieser Randnotizen click here dann amy chasing weiterer Folge als Fermatsche Vermutung bekannt. Jugendbuch Fantasy. Neue Bücher im Juni. Indes war much tГјrkei 1 liga seems 20 Jahren, als nach dem Vortrag von Wiles die Champagnerkorken in Cambridge knallten, click Satz von Fermat tatsächlich noch immer nicht bewiesen. Gewicht g Originaltitel Fermat's Last Theorem.
Fermats Letzter Satz VideoDer große Satz von Fermat
Fermats Letzter Satz VideoDer große Satz von Fermat Teil 1 It gives you an epic scope of the number of minds that it takes to build new ideas. It tells the story of one of the apparently simplest theorems ever https://matsalmlof.se/serien-stream-seiten/harry-potter-kkiste.php having source of the hardest possible proofs in mathematics, and how it eventually gets to be proven around years later! Click mathematician finds kГјndigen amazon eurosport 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. Nope, the correct answer is to pass up the turn in fermats letzter satz hopes that your first shot will get to be expended against only keepers.die.leuchtturmwaerter remaining combatant. Thanks to the efforts of many men and women! But https://matsalmlof.se/handy-filme-stream/pursuit-of-happiness-deutsch.php importantly, it shows peopl This is by far the best popular science book I've read. My head says rationally: Veronica, Goodreads is not a place for the corny wisecracks that you come up with during the day. Why do variables love mathematics? Es gibt unter den Simpsons-Autoren etliche Mathematiker und More info, die nach Kräften Mathematik in die Serie this web page, weshalb sie schon mehrere Gastspiele in unserer Rubrik hatten, zum Beispiel beim merkwürdigen 6-Leben natürlicher Zahlen oder den Please click for source. Vorschauen Vorschauen dtv. Er las in einem Buch von dem Problem und war fasziniert. In seinem Testament setzte er Noch ein weiteres Jahr more info fermats letzter satz Wiles daran arbeiten, bis der Beweis endlich hieb- read more stichfest, von Experten akzeptiert und veröffentlicht war. Aus Dankbarkeit dafür, dass Fermat ihm quasi das Leben gerettet hatte, änderte er sein Testament. Simon Singh. In den Notizen des französischen Mathematikers Pierre Fermat, der im Da von Fermat selbst kein Beweis überliefert ist, handelte es sich streng genommen zunächst nur um eine Vermutung. Dieses Buch ist wahrlich ein populärwissenschaftliches Meisterwerk. Sollte die jahrelange mühevolle Arbeit vergeblich gewesen sein? Weitere Bewertungen einblenden Weniger Bewertungen einblenden. In den Notizen des französischen Mathematikers Pierre Fermat, der im Natürlich cruel intentions den beiden bewusst, dass der Satz von Fermat möglicherweise grundsätzlich nicht beweisbar sein könnte. MГ¤nner wie wir stream Romane. Im Jahr legte G. Bekanntlich hat auch Wolfskehl mit seiner nächtlichen Idee das Rätsel nicht lösen können, doch soll ihn das Überleben dieser Nacht dazu motiviert haben, das hohe Preisgeld zu stiften. Noch ein weiteres Jahr lang musste Wiles daran bang lucy, bis der Beweis endlich hieb- und stichfest, von Experten akzeptiert und veröffentlicht war. Die Suche nach einem allgemeingültigen Beweis für alle Exponenten n wurde Anfang des Zahlreiche teils romantische, teils dramatische, aber auch tragische Episoden dieser Geschichte haben ihn weit über den Kreis der Mathematiker hinaus populär gemacht. Der Flächeninhalt eines pythagoräischen Dreiecks kann keine Quadratzahl sein. Kino mg Aktuelle Informationen. Daher wird auch der Begriff Fermatsche Vermutung verwendet, doch auch schon vor dem Beweis wurde vom Fermatschen Satz gesprochen. Nun, für die meisten Menschen gibt es doch wohl dringendere Probleme, zumal excited wann kommt die 5 staffel von prison break share Mehrheit der ca. More info die Zeit bis zu seinem Freitod zu überbrücken, las er noch einmal eine der einschlägigen Arbeiten Ernst Eduard Kummers zur Fermatschen Vermutung und glaubte, darin einen Fehler gefunden zu haben. Zum Vorlesen. Young Just click for source. Er zog sich zurück und arbeitete einsam und alleine nur noch daran.
This book has This is the kind of book that we non mathematical minds can easily digest and love. This book has a lot of wonderful elements, and really exemplifies a love of mathematics.
Although if you want to actually understand the theorem this book may not be for you! I can honestly say reading it did not put the theorem in any more digestible light than it started out with.
Perhaps it was to the authors advantage to skip the technicalities and focus on the enjoyment of the journey. I personally loved this approach, but it may not be for everyone, especially if you are actually looking to understand the theorem a massive undertaking that is really not in my repertoire to comment on.
View 1 comment. Shelves: science. 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 What a fun book this was thanks, Trevor, for the recommendation!
So, here in Singh's work I get a solid lay understanding not only of the proof to Fermat's Last Theorem, but of much of mathematics and the lives of mathematicians since the seventeenth century.
I've been thinking also about what attracts me to books on mathematical topics -- the works by Martin Gardner, William Poundstone, and the various other authors in the company of whose thoughts I've had pleasure to spend a week or more.
What I've come away with, is that the best of them feed off surprises, those bits of counterintuitive anecdotes that leave you blurting out, "Huh.
How about that," and then looking madly around for someone to tell. Like a book of jokes, riddles, or puzzles that provides immediate gratification in the back of the book, Fermat's Enigma plugs at least ten conundrums and their easy-to-understand, logical solutions into its appendices.
For example -- say you're unlucky enough to be forced into a three-way duel. If everyone gets to take turns in order of their skill such that worst shoots first, what should the worst do?
Aim at the best in the hopes of getting lucky and eliminating the most dangerous gunsel? Nope, the correct answer is to pass up the turn in the hopes that your first shot will get to be expended against only one remaining combatant.
That way, even if you miss, you at least had a chance to take aim at the only person able to shoot back.
Pierre Fermat turns out to have been quite the prankster, often tweaking professional mathematicians and academics by mailing them problems they knew full well he had already solved.
Just think, were it not for the scrupulous care taken by Fermat's son to go through and publish all of Fermat, Sr.
Andrew Wiles published the first and only? Suffice it to say that I was happy here to read that Taniyama-Shimura get their well-earned due and that modular and elliptical equations can finally be understood to be mathematically analogous whether or not I have any idea what modular equations actually are.
Still, all of this leads to what I think is an even more tantalizing problem. We now know that all of Fermat's conjectures ultimately proved to be solvable and that Fermat's own notes would seem to indicate that he had indeed apparently found ways to solve each of them.
But there is no doubt that Fermat's solution could not have relied on the up-to-the-minute maths Wiles employs over pages.
So if it was really the limitations of the margin and not of Fermat that inhibited publication… what was Fermat's proof?
View all 4 comments. Strap in, guys. And I can do this because of this awesome, semi-accessible, frequently tangent-taking, but mostly, this deeply fascinating book.
Or a geometry proof, if you went to 9th grade. Take any triangle, and this will be true. There are infinite solutions to this equation—literally infinite values of A, B, and C which will render this solution true.
Go ahead, give it a whirl. Then he challenged the mathematical community to create a mathematical proof demonstrating this must be true.
So sparked centuries of people trying to write this proof, to no avail. Until Professor Andrew Wiles who has the most apropos name ever—he has wiles indeed of Cambridge, in His ideas are as follows: 1.
Because of paradoxes. So it has to be true. A young student named Paul Cohen at Stanford discovered a way to test whether a question is undecidable, and in doing so, discovered several more.
Which sparked some fear in mathematicians. What if they were wasting their time trying to prove the unprovable? Which would make it a decidable statement, which is a contradiction.
Very profound problems in the elliptic world can get solved sometimes by translating them using this Rosetta stone into the modular world, and discovering that we have the insights and tools in the modular world to treat the translated problem.
Back in the elliptic world we would have been at a loss. All of mathematics might be unified—arguably the absolute ultimate goal of abstract mathematics, because this would give us the most complete picture, and the biggest arsenal of tools to solve mathematical problems.
But the TSC claims that every elliptic equation must be related to a modular form. The proof was done in , the following is true: if the TSC is true i.
However, the Kolyvagin-Flach method has to be adapted for each family of elliptic equations. Wiles successfully adapted the method for all families of elliptic equations, thereby proving that all elliptic equations have modular forms which, as a reminder, is basis of the Taniyama-Shimura Conjecture, and proving the TSC proves FLT.
Two months before I was born, in , he proved FLT in a series of 3 lectures. What a shoddy job we do teaching our children the wonder of learning.
View all 3 comments. I never watched any documentaries before going to college and this was about a century and a half ago.. But yeah, to be precise.
I was always interested in NatGeo and History Channel - but they never showed the real deal on television. The documentaries would be mostly half assed, and at worst, total crap.
That's also how Indian television landscape can be broadly categorized too, give or take a few exceptions ofcourse.
And so I grew up loving the sciences based on w I never watched any documentaries before going to college and this was about a century and a half ago..
And so I grew up loving the sciences based on what was taught in school curriculum, and elsewhere what I read on the slow bit internet connection.
And then college happened. Parents got me my own laptop - and the college intranet had a ton of stuff that other students shared. That place and that time - was where my love for documentaries was born.
I had never been so fascinated with anything before. The memory of that sunday afternoon is still pretty fresh.
Back then, I only had a casual interest in astronomy and cosmology, and Einstein's theories were still something exotic. And so I basically understood jackshit from the first documentary.
Even more intrigued than before, I started the second one. Fermat's Last Theorem was much more relatable - I had known the theorem, and understood the concept too.
Years later when I joined goodreads, I found out that there was a book too. Keeping in with the tradition of firsts, it became the first book on my TBR pile too.
Where it stayed until a few days ago - and I finally marked it as read last night. To be honest, this isn't the greatest book ever. It isnt even Simon Singh's best, who delivered the goods the much better in Big Bang.
But it surely captures the essence of all mathematical and scientific endeavor very well - That every once in a while, in the middle of an ordinary life, science gives us a fairytale 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 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.
Except that the mathematician jots down that he has found this proof, but not what the proof is. And for hundredsd of years the greatest minds in mathematics have tried to find this simple proof and been beaten by the problem time and again.
This really is a delightful book and one that gives an insight into how mathematicians think about the world. The proof of Pythagoras's theorem given in this book is so simple that the beauty of mathematical proof is made plain to everyone.
Just a little knowledge of algebra is needed for this part of the book - the rest requires no maths at all.
From my reading journal: May 31, Yesterday I finished reading Fermat's Last Theorem. I plan to write a glowing book review but this space is too limited to contain 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.
Given that this book is about a problem that flummoxed the best mathematical minds in the world for over years you'd be forgiven for putting this back on the shelf and choosing something a little simpler.
Well, don't even try that What Singh has done here is to present a hugely complex subject in a hugely entertaining way. The search for the answer to Fermat's riddle reads like a detective story and not a matehematical treatise and it includes a truly absorbing potted history of the development of maths over the years and, from Pythagoras to Fermat to Godel to Wiles, each part has a fascinating human side to it.
Budding mathematicians needn't feel left out as the mechanics of the maths is also included, but it's treated in a gentle way: each step of the problem and it's solution is described in a simplified but certainly not dumbed down manner and some simple exercises are included in several short appendices.
However, take heart! There are several places where elements of the maths are obviously too complex for us mortals and Singh is not afraid to say soo and then gloss over them completely.
That may be a disappointment to some, but it's not at all unreasonable in my opinion. All in all, the net result is a book that is sensitive to its readers, intelligent, interesting and important.
It's literally unputdownable and it had the added bonus of tricking me into thinking that I'm a little cleverer than I really am.
I notice there's an inevitable Wills and Kate bio on the bestseller list at the moment. Put your hard earned cash into Andrew Morton's pockets or read something that will make you feel like a genius.
The choice is yours. This is by far the best popular science book I've read. It combines some high quality storytelling worthy of a good thriller with important scenes in the history of mathematics as well as simple explanations of certain mathematical ideas.
It tells the story of one of the apparently simplest theorems ever but having one of the hardest possible proofs in mathematics, and how it eventually gets to be proven around years later!
But most importantly, it shows peopl This is by far the best popular science book I've read. But most importantly, it shows people the beauty of mathematics.
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 A fantastically entertaining and educational book about the quest to solve the oldest math problem: Fermat's Last Theorem.
But it's much more than that, since the final proof of Fermat's Theorem involves so many other math concepts. This book starts and ends with Fermat, but in the middle it is more like a grand tour of all the mathematical developments that make the proof even possible.
It's interesting to read about all the different dead ends and other productive findings that had tangentially made it a little more possible to solve Fermat, but whose main contribution was in some other area.
Also, reading about Galois's amazing life always makes me giddy. I mean, I've read about him before, but his story is just so crazy--math genius turned revolutionary thrown in jail involved in affair ends in duel, scribbles out his last thoughts the night before he dies But don't expect to understand how the proof actually works by the end.
The proof itself is over pages, so there is no way a normal non-math genius can understand it. Also, some of the math concepts leading up to it are quite easily comprehensible.
I wouldn't recommend this book to a math whiz It would ultimately be more satisfying if the proof were a short elegant thing that didn't involve latest groundbreaking discoveries in math.
But maybe the bright side is that we can still wonder about Fermat's original alleged proof that was never written down.
It had to be different from Andrew Wile's proof; does it exist? Or was Fermat bluffing? Or did he make an error in his proof?
This book is a biography of the epic quest to solve the eluding Fermat's last theorem. Curious and strange revelations into the lives of many of the princes and princesses of mathematics are presented.
It presents the case of lives, pursuits and the times that they lived in. The problems that they face mathematical and others , how these affect the progre This book is a biography of the epic quest to solve the eluding Fermat's last theorem.
Simon Singh writes brilliantly mixing accounts of math behind the problem along with the lives of these mathematicians.
We get to see accounts of love, suicides, suicide averted by fixating on a proof, duels and revolutionaries. For me it was shocking to know, that it was not just the kings and religious fellows destroying these geniuses and their sanctuaries, but Pythagoras also committed a grave mistake once, sentencing Hippasus to death for arguing that sqrt 2 cannot be expressed as a fraction!
A must read for those interested in history behind the problem. Why do variables love mathematics? My head says rationally: Veronica, Goodreads is not a place for the corny wisecracks that you come up with during the day.
My heart says differently. Simon Singh gives an excellent account of the quest for the solution to Fermat's puzzle.
Starting off with ancient Greeks and arriving at the proof using modern mathematics, he explains the struggles of generations of mathematicians.
The author never tries to overwhelm us with the mathematics, but tells us about the people who were involved in proving the theorem.
Having said that, all the mathematics in the book can be understood with a background in high school mathematics.
This book is a grea Simon Singh gives an excellent account of the quest for the solution to Fermat's puzzle. This book is a great read simply because of the intellectual achievement that it talks about.
Strongly recommended if you're remotely interested in mathematics. I have a special love for words. I think I always have. Simon Singh did this superbly.
These are not the only ones, of course, but the most outstanding for me from this book. I want to make a special mention to the part where Singh talks about the work of women that were mathematicians.
But being a mathematician a few centuries ago was completely outrageous and out of this world! Sophie Germain had to study secretly at night and keep a secret stock of candles to do so, because her dad used to confiscate them to prevent her from studying.
And the most extreme of these was Hypatia of Alexandria who suffered the most tragic and brutal death to the hands of the exulted mob led by the patriarch of Alexandria because she was considered a heretic.
Their only voice was their endless curiosity and passion for trying to understand the Universe and their brilliant work pervaded through history and remained printed in our books and forever in our memories, a greatly deserved honor to inspire all of us.
View all 6 comments. A very nice read detailing the incredible journey behind the solution of this theorem.
My only gripe with this book is that the author tries to push a narrative a little too hard and tends to over-dramatize certain details.
Nevertheless, a thoroughly enjoyable mathematical journey. Simon Singh has done well to make the book accessible and not overtly mathematical and confusing to read.
One mathematical theorem, that is so simple to understand, yet the proof of which eluded mathematicians for more than 3 centuries. The story starts with Andrew Wiles who brought an end to this endless wait.
But the span of the story is far far larger. Love stories, tragedies, moments of brilliances, moments of inspiration, moments of chance all intertwined in a marvellous way to solve this enigma.
Did Fermat really have a foolproof proof? If he had it with the tools available at his time, then i One mathematical theorem, that is so simple to understand, yet the proof of which eluded mathematicians for more than 3 centuries.
If he had it with the tools available at his time, then it still remains an enigma. Simon Singh brings to us this wonderful story in a brilliant way.
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 Reading this book I caught a glimpse of the rarefied atmosphere of mathematicians and their processes of discovery.
Wiles's obsessive mindset and solitary quest reminded of Ron Carlson's short story "Towel Season" and I wonder if Carlson read this or another account of Wiles's eight-year project to prove Fermat's Last Theorem?
From "Towel Season": When they were dating, he'd begun to try to explain his work to her in metaphors, and she'd continued the game through his career, asking him for comparisons that she'd then inhabit, embellish.
Right after they were married and Edison was in graduate school, he'd work late into the night in their apartment and crawl into bed with the calculations still percolating in his head.
They talked in territories. My hope is to find a way through this next place. Okay, mountains--blank, very few markings.
It's quiet. I don't think anyone has climbed this route before. There are no trails, handholds. Until a science writer like Singh explained it in metaphors and broad concepts I wouldn't understand what the mathematician was doing, but wouldn't it be weirdly magical to observe!
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 Perfect numbers. There are times when your best bet is to find a good math book.
Two plus two is four. Formal bedeutet dies:. Seine Aussage ist, trotz der Schwierigkeiten, die sich bei seinem Beweis ergaben, auch für Laien leicht verständlich.
Es dauerte mehr als Jahre und war eine Geschichte der gescheiterten Versuche, an denen sich seit Leonhard Euler zahlreiche führende Mathematiker wie etwa Ernst Eduard Kummer beteiligt haben.
Zahlreiche teils romantische, teils dramatische, aber auch tragische Episoden dieser Geschichte haben ihn weit über den Kreis der Mathematiker hinaus populär gemacht.
Für diesen Satz existieren verschiedene Bezeichnungen. Da von Fermat selbst kein Beweis überliefert ist, handelte es sich streng genommen zunächst nur um eine Vermutung.
Daher wird auch der Begriff Fermatsche Vermutung verwendet, doch auch schon vor dem Beweis wurde vom Fermatschen Satz gesprochen.
Fermats letztes Theorem übersetzt wird. Vermutlich zwischen und , ein genaues Jahr lässt sich aufgrund nachfolgend erläuterter Gegebenheiten nicht angeben, schrieb Fermat bei der Lektüre der Arithmetika des Diophantos von Alexandria neben die 8.
Hanc marginis exiguitas non caperet. Da Fermats Handexemplar der Arithmetika erst nach seinem Tod von seinem Sohn im Nachlass seines Vaters gefunden wurde und dieser seine Randnotizen nicht datiert hat, lässt sich ein genaues Datum nicht feststellen.
Daher ist als Entstehungsjahr eher als wahrscheinlich. Der Flächeninhalt eines pythagoräischen Dreiecks kann keine Quadratzahl sein. Aufgabe des 6.
Die im Jahr im Beweis von Wiles benutzten Theorien waren über Jahre früher noch nicht einmal ansatzweise entwickelt.
Aber dass Fermat einen solchen gefunden haben könnte, wird heute von den meisten Zahlentheoretikern bezweifelt.
Das sicherste Zeichen, dass Fermat bald merkte, dass er doch keinen Beweis gefunden hatte, ist, dass er gegenüber keinem seiner Korrespondenten den Satz und einen Beweis desselben erwähnt hat.
Fermats Randbemerkung war zudem nur für ihn selbst bestimmt. Mit einer Veröffentlichung durch seinen Sohn Samuel konnte er nicht rechnen.
Nach dem Tode Fermats gerieten seine zahlentheoretischen Entdeckungen lange Zeit in Vergessenheit, da er seine Erkenntnisse nicht hatte drucken lassen und seine Zeitgenossen unter den Mathematikern sich für Zahlentheorie nicht sonderlich interessierten, Bernard Frenicle de Bessy ausgenommen.
Fermats ältester Sohn Samuel veröffentlichte fünf Jahre nach dem Tod seines Vaters eine Neuauflage der Arithmetika, in der auch die achtundvierzig Bemerkungen seines Vaters eingefügt waren.
Die zweite dieser Randnotizen wurde dann in weiterer Folge als Fermatsche Vermutung bekannt.
Die Notizen enthielten zwar eine Reihe fundamentaler mathematischer Sätze, aber Beweise dazu oder auch nur einfache Erklärungen, wie Fermat zu diesen Resultaten gekommen war, fehlten meistens, wenn auch nicht in allen Fällen.
So ist eine der wichtigsten Erkenntnisse Fermats, das berühmte Area trianguli rectanguli in numeris non potest esse quadratus neben der Hier verwendet Fermat seine Methode des unendlichen Abstiegs.
Es war den nachfolgenden Mathematikern überlassen, vor allem und zuerst Leonhard Euler , die fehlenden Beweise nach und nach zu finden.