Birth of a Theorem: A Mathematical Adventure
Birth of a Theorem: A Mathematical Adventure book cover

Birth of a Theorem: A Mathematical Adventure

Price
$16.62
Format
Hardcover
Pages
272
Publisher
Farrar, Straus and Giroux
Publication Date
ISBN-13
978-0865477674
Dimensions
5.8 x 0.97 x 8.54 inches
Weight
12.8 ounces

Description

Winner of the French-American Foundation Translation Prize in Nonfiction “Riveting! A gem.” ―Nassim Nicholas Taleb, author of The Black Swan “Villani has written probably the most unlikely unputdownable thriller of the decade.” ―Richard Morrison, The Times “Combining poetry, music, and formidable sleuthing, the charismatic Cédric Villani skilfully unfolds the complex yet wondrous world of mathematics. Birth of a Theorem inspires and entertains!” ―Patti Smith “[ Birth of a Theorem ] is less about math than about mathematicians―how they live, how they work, and how they talk to one another.” ― Thomas Lin, The New Yorker “ Birth of a Theorem is a remarkable book and I urge everyone to buy it.” ―Alexander Masters, The Spectator “A fine book from a brilliant man.” ―Ron Liddle, Sunday Times “[Villani] is widely regarded as one of the most talented mathematicians of his generation . . . Ultimately, this is a story about the limits of what can be achieved. And in that respect it has everything: partnership, courage, doubt and anxiety, elation and despair. Villani’s path to success was not always easy, and he writes vividly of his setbacks and obstacles, detailing the inner monologue of self-doubt that we all experience, regardless of our ability.” ― Hannah Fry, The Guardian “ Birth of a Theorem succeeds in giving us a glimpse . . . of what it feels like to be Cédric Villani.” ―Evelyn Lamb, Scientific American Blog Network “[Provides] a view of the math community not often seen by the general public . . . Villani's book eloquently humanizes mathematicians and is inexplicably fascinating even for the layperson.” ― Publishers Weekly “Cédric Villani's Birth of a Theorem is like no other book about math: an unfiltered view into the daily life, and the soul, of a great mathematician, as he approaches and finally conquers a major result.” ―Jordan Ellenberg , author of How Not to Be Wrong: The Power of Mathematical Thinking “[Villani] could plainly do for mathematics what Brian Cox has done for physics . . . [ Birth of a Theorem ] is one of the most peculiar and entertaining science books you will ever read . . . He realises that what seems too obvious to him-the beauty of maths-is baffling to almost everybody else, and he wants to break down the barrier this creates, not by condescendingly trying to be normal, but by being Cédric Villani. As maths is, as I say, the language that can make or break us, this is an urgent task that only Villani and only this book are addressing.” ― Bryan Appleyard, Sunday Times “Villani’s flair for storytelling, drawing on fables, metaphors and anecdotes, ensures that [ Birth of a Theorem ] is never boring.” ― Stephen Muirhead, Chalkdust “ Birth of a Theorem should not be read as a book about mathematics or a mathematician. It is a book about life and a man whose zest for life is insatiable. Read it if you enjoy knowing that when approached in the right spirit by someone of sufficient energy and talent, life can be beautiful.” ―Daniel W. Stroock, Notices of the American Mathematical Society “Compellingly readable . . . I am not aware of any other account that so lucidly describes the desolation felt by mathematicians when a solution simply refuses to be found . . . But as Birth of a Theorem shows, the exhilaration when a breakthrough occurs is beyond compare.” ― Noel-Ann Bradshaw, Times Higher Education “A refreshing alternative to most pop-maths books . . . Villani pours you inside his mind and swirls you around, leaving you with nothing to hold on to and breathlessly wondering what you'll encounter next.” ― Jacob Aron, New Scientist Cédric Villani is the director of the Institut Henri Poincaré in Paris and a professor of mathematics at the Université de Lyon. His work on partial differential equations and various topics in mathematical physics has been honored by a number of awards, including the Fermat Prize and the Henri Poincaré Prize. He received the Fields Medal in 2010 for results concerning Landau damping and the Boltzmann equation.

Features & Highlights

  • In 2010, French mathematician Cédric Villani received the Fields Medal, the most coveted prize in mathematics, in recognition of a proof which he devised with his close collaborator Clément Mouhot to explain one of the most surprising theories in classical physics.
  • Birth of a
  • Theorem
  • is Villani's own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career.But you don't have to understand nonlinear Landau damping to love
  • Birth of a
  • Theorem
  • . It doesn't simplify or overexplain; rather, it invites readers into collaboration. Villani's diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You're privy to the dining-hall conversations at the world's greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker's whole life that propels discovery―and with
  • Birth of a
  • Theorem
  • , Cédric Villani welcomes you into his.

Customer Reviews

Rating Breakdown

★★★★★
30%
(106)
★★★★
25%
(88)
★★★
15%
(53)
★★
7%
(25)
23%
(81)

Most Helpful Reviews

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A gem: how to go from the abstract to the abstract in a playful way. There is no book like it.

This book takes us through the formulation of the theorems in "On Landau damping" by Clément Mouhot and Cédric Villani. Villani is playful in real life, his research is playful, and the book is playful.

This is a gem for a singular reason. One sees exactly how Villani (or a pure mathematician) goes from abstract to abstract without ever exiting the world of pure and symbolic mathematics, even though the subject concerns a very concrete real-world topic. I kept waiting for him to use simulations or even plots to see how the equations worked. But he did not ... he and Mouhot had recourse to outside help (a student or an assistant) for the graphs and he camly noted that they "looked" great. Later in the book he relied on others to do the numerical work... as an afterthought. Most physicists, quants, and applied mathematicians would have played with a computer to get the intuition; Villani just worked with mathematical objects, abstract mathematical objects, and very abstract at that. And this is a big deal for the subject because it belongs to a certain class of problems that do not have analytic solutions, usually requiring numerical approaches.

Landau damping is about something many people are indirectly familiar with. Some history: Fokker–Planck equation, itself the Kolmogorov forward equation, is used commonly as the law of motion of particles (hence diffusions in finance). We quants use it in the main partial stochastic differential equation. In plasma physics it is related to the Boltzman equation, which, by using mean-interraction in place of every interration (mean-field), leads to the Vlasov equation. Landau damping is (sort of) about how things don't blow up because of some exponential decay. Proving it outside the linear version remained elusive. Villani and Mouhot set to prove it. They eventually do.
One note. I read it in the English translation (because I was in a hurry to get the book), but noticed an oddity that may confuse the reader. "Calcul" in French does not mean "calculation" (in the sense of numerical calculation) but "derivation", so the reader might be confused about calculations thinking they were numerical when Villani stayed at the abstract/symbolic level.

I would have read the book in one sitting. It grips you like a detective novel.

PS- Some UK BS operator, the type of journalist with an attempt at some PhD in something related to physics who thinks he knows it all and is the representative of the general public trashed the book in the Spectator. Ignore him: the fellow is clueless. Look at reviews by PRACTICING quants and mathematicians. I do not think there is another book like this one.
96 people found this helpful
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Not as interesting as expected

I am interested in this Field Medalist winner after watching his TED talks which are very interesting, humorous and clear. However, I am not sure if I enjoyed his book the same way.

There are too many unexplained equations which are basically like clippings from mathematical papers. Don't get me wrong. I like equations and mathematics and my math background isn't too weak but those equations and theories are not meant to be understood in the way it is listed out. I really want him either spending more time on explaining his work and make the book a bit thicker or just give keeping the ideas conceptual in words (which I think he can do it).

I think if you skip what you don't understand and what you feel boring, this is quite fun and smooth to read the journey of how he got the his theorem done.

Maybe the original French version would be better but I don't speak French.
23 people found this helpful
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Amazing book. I would definitely recommend it to any ...

Amazing book. I would definitely recommend it to any undergraduate or graduate student interested in a life in pure mathematics. If it weren't for having to go to work the next day, I would have finished it in one sitting. If you're a mathematician, you won't want to put it down. I would have been able to relate to it more if it was coming from an algebraic geometer or category theorist, but in any case, I had enough of a background in functional analysis not to feel completely lost in the terminology (key here is terminology, there's no way I understood any of the actual mathematics).
15 people found this helpful
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A unique memoir

There is no book like this. This is a memoir by the author dealing with one specific piece of work he did, but he depicts this in a broad context of collaboration and communication and both pertinent and broad history of related mathematics. It really is a wonderful and interesting book. Let me also add after getting the book and looking at it quickly at first I then went to youtube to see some of his TED lectures. They are exciting and instructive in themselves. When mathematics is done at his level, we are obviously talking about very gifted people and in this case how they interact with their peers to move the mathematics further along. It is not a question of just being bright; it really is people born with a gift and then how they utilize it. No one here is lazy! How do they assume that enough progress has been made in a field to attack a key problem? He cites Andrew Wiles in the book, but in that recent famous case Wiles worked by himself for seven years in his attic office only showing one other person his work. It was not collaboration - just the opposite of what we see here. Of course Wiles ended up proving theorems in which Fermat's Last Theorem was a corollary, but like here he had to guess that he was ready to take that step.

To me the book is dynamic with energy, and it is a friendly book. He intersperses biographies, history, relationships, and seems to always develop a context. What always comes through to me is his strong collaboration with his young colleague Clement Mohout who is a gifted mathematician himself. They are not afraid of each other nor do they envy each other. It is like a father wanting to see his son do well, and it buoys up the both of them. Villani comes through in this book with so much character and class! He is forever talking to other people, visiting different places for seminars or conferences, and so inquisitive as to what others are doing.

Look at Chapter 29 where he talks about John Nash, one of his mathematical heroes This is such a well known and poignant story. Villani tracks back Nash's work which laid the foundation for some work that he did, and tells more of the Nash story which I also remember very well. He interleaves tales like this throughout the book always emphasizing relationships, symmetries, history, and context. He lays this out as important to his memoir and as a gift to us, the readers. Parenthetically, on Chapter 29 Sylvia Nasar, when she was still at the NY Times, wrote a long article, "The lost years of a Nobel laureate," which dealt with John Nash, who had just received the Nobel Prize in Economics, and his illness and long years ill in Princeton. It was so well received that she wrote her book. Here Villani is paying additional tribute to Nash.

If Richard Rogers had written a memoir with collaboration details of his work with Roger Hammerstein on South Pacific, and put in all the sweat and tears, then we would get some weak approximation to what this book is about.

I am so far out of it with respect to modern mathematics, I do not dare to suggest who the book would appeal to.
4 people found this helpful
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A Youthful Ambassador for Reality Mathematics

To win a Fields medal you must be under 40. With Villani there’s no doubt about this, as he exposes his youthful passions, ambitions, and frustrations, both cultural and mathematical, in the manner of a reality TV show or social media exchange. I learned about Japanese “manga” for the first time and many a singer from the younger generation.

The mathematical terminology, even pages of equations, are used to give the reader a flavor of what doing mathematics is like (like a poetical flourish), even if they don’t know much about it. Nevertheless, if you do know some functional analysis, like I do, it’s even better. I could follow much of the terminology and had fun deciphering some of the formulas here and there.

I found the stories about other mathematicians very interesting, also the brief biographical sketches and the well done drawings. Cedric has an artistic flair about him in person to, as I bought his book after hearing him speak in Seattle. He’s a great world ambassador for how mathematics is really done – all the false leads, errors and corrections, hunches, hard calculations, and occasional moments of inspiration arriving at seemingly random times. And without the collaboration with his former student Clement, the proof might never have succeeded, or would have taken far longer.

I’m glad Cedric is taking a leadership role in mathematics – heading up the Poincare’ Institute in France and becoming a public figure. He even hints at his interest in politics.
2 people found this helpful
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A mathematical chef who reveals what goes on in the kitchen

Cedric Villani’s story of how he and his former student and collaborator Clement Mouhot produced the work that earned Villani the Fields Medal is probably unique in mathematical circles. Certainly there have been memoirs and the like which reveal things about the mathematician author (an example is Gian-Carlo Rota’s “Indiscrete Thoughts”) but I cannot recall a book which sets out the actual process of “slaying the beast” in such a self-effacing way. Anyone who has watched Villani lecture can appreciate that he is actually a good communicator of ideas and his book simply reflects that. Villani is not the “it is easily seen that…” type of mathematician (usually a second rate one but there are some first rate ones who engage in this type of behaviour). In the vast majority of cases this is a put down since the thing is not easily seen at all and may require detailed and specialised knowledge to truly understand. In my experience this type of mathematician is probably either “on the spectrum” or terminally arrogant. Villani has done a huge social service by actually providing a living and breathing counterexample. I can attest to this since I have had a brief email exchange with him. He is the real deal and provides a role model for more people (especially women) to get passionate about maths.

Villani has not put a lot of mathematics in the book but there is some and it is best to go with the flow. If a reader has had a brush with partial differential equations as a student they will get the drift of the difficulty and enormity of the task he and Mouhot tackled. I had a triple-take at references to a norm with seven indices! The more mathematically credentialed reader can delve further and have a go at getting their minds around some of the estimates that are being made but the book is not about understanding that sort of detail.

Many students are put off early in their study of mathematics by proofs or explanations which pull rabbits out of hats. The student quite rightly wonders where on earth that came from. Well, it came usually as a result of going down several blind alleys (there may be the odd exception) but the essentially dishonest mathematical communicator makes it sound as though he or she immediately saw their way through the thickets using some artifice plucked from the cosmos. The beginner is immediately defeated before even starting. Villani shows that the real world is not like that and again this is an important revelation for those interested in mathematics. Such honesty is refreshing.

More professional mathematicians should read this book and reflect on the process. US mathematician Peter Casazza’s chapter in the book “I Mathematician” lays bare how some professional mathematicians act towards their colleagues (and some of it is pretty unedifying) so little wonder the public has a pretty weird idea of what mathematicians do and how they do it.

It is wonderful to have someone like Cedric Villani add a palate of exuberant colour to what many people probably perceive as a thoroughly colourless profession.
1 people found this helpful
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not particularly enlightening

My enjoyment of this book was much diminished by my recollection that other academic mathematicians have tried communicating to the layperson what the practice of mathematics is like with much more success. Before you invest too much time or money in this book, be sure to check out the alternatives.
1 people found this helpful
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A stream of consciousness attack.

This is the story of the email exchanges between two top-tier mathematicians as they write a 180 page long paper for submission to Acta Mathematica.

It goes well and the main author goes on to win the Fields Medal.

Along the way you get treated to pretty much everything that goes through the head of the author. His dreams, his favorite music, some fun and relevant poetry, his hatred of air conditioning, his utter disrespect for American bread and cheese and chiefly his worshipping of other mathematicians, many of whom are granted a short portrait, often accompanied by a literal one.

Does not help to know math, this is unspeakably difficult stuff. You could be a math professor, and unless your research is to do with Landau damping or the Boltzmann equation you will be no wiser than a high school dropout as to what the author is talking about.

It is however a massive, unadulterated stream of consciousness attack, and for that I totally loved it. Small confession here: I do hold a couple math degrees, and I'm inured to the fact that math professionals are totally self-centered. One more thing: I'm in awe of the fact that the guy seems to be the head of a normal, healthy family, puts the kids to bed, the works. That's highly nonstandard for a young mathematician at the leading edge of his field.

Oh, and the endorsement by Patti Smith on the cover is by the Patti Smith we all know and love; "because the night" gets mentioned around page 160 and the publisher probably thought it would be a bit of a coup if he could get her to say a nice word.

It was overall a fun read. Would probably have been even more fun in the original French
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Five Stars

I love this book! Professor Cedric Villani is wonderful!
1 people found this helpful
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The math will be over most readers head but those ...

The math will be over most readers head but those sections do not require reading. It is the interaction between Cedric and other mathematicians plus the freedom that his position gives him that are of real interest in this book.
1 people found this helpful