Henri Poincar Was One Of The Greatest Mathematicians Of The Late Nineteenth And Early Twentieth Century He Revolutionized The Field Of Topology, Which Studies Properties Of Geometric Configurations That Are Unchanged By Stretching Or Twisting The Poincar Conjecture Lies At The Heart Of Modern Geometry And Topology, And Even Pertains To The Possible Shape Of The Universe The Conjecture States That There Is Only One Shape Possible For A Finite Universe In Which Every Loop Can Be Contracted To A Single Point.Poincar S Conjecture Is One Of The Seven Millennium Problems That Bring A One Million Dollar Award For A Solution Grigory Perelman, A Russian Mathematician, Has Offered A Proof That Is Likely To Win The Fields Medal, The Mathematical Equivalent Of A Nobel Prize, In August 2006 He Also Will Almost Certainly Share A Clay Institute Millennium Award.In Telling The Vibrant Story Of The Poincar Conjecture, Donal O Shea Makes Accessible To General Readers For The First Time The Meaning Of The Conjecture, And Brings Alive The Field Of Mathematics And The Achievements Of Generations Of Mathematicians Whose Work Have Led To Perelman S Proof Of This Famous Conjecture.

My meeting with this book fell considerably short of love at first sight Not saw it on sale yesterday at a Melbourne bookstore and asked if I thought it might be interesting I picked it up, glanced at the less than brilliant cover and leafed through it for a minute or two the writing seemed lackluster and the first anecdote I found was one I d seen before I was about to put it back when I reconsidered It cost 10 and was evidently an easy read I d always wondered what the deal was with the My meeting with this book fell considerably short of love at first sight Not saw it on sale yesterday at a Melbourne bookstore and asked if I thought it might be interesting I picked it up, glanced at the less than brilliant cover and leafed through it for a minute or two the writing seemed lackluster and the first anecdote I found was one I d seen before I was about to put it back when I reconsidered It cost 10 and was evidently an easy read I d always wondered what the deal was with the mysterious Poincar conjecture Why not find out Well, I couldn t havewrong this is a truly excellent book The bare bones of the story are easy to summarize The Poincar conjecture, formulated in 1900 by Henri Poincar , states cryptically that every s...

So the shape of the universe It s a giant ball, right Especially when you think of its beginning in a big bang But that brings up the awkward question of what s outside the ball Space universe is not infinite It s believed to be finite, but without a boundary It becomes easier to understand this if you consider two dimensional beings living in a spherical the two dimensional surface of a ball universe Their universe is finite, but has no boundaries There are no edges, and if they s So the shape of the universe It s a giant ball, right Especially when you think of its beginning in a big bang But that brings up the awkward question of what s outside the ball Space universe is not infinite It s believed to be finite, but without a boundary It becomes easier to understand this if you consider two dimensional being...

There was some explanation earlier in the book, but later explanation was poor I came away with little understanding of how the Poincare conjecture was solved The book was a disappointment, but did provide a reference t...

Why is this book notwidely read It s at least as good as books like Fermat s Last Theorem, with farmathematical content If any layman wants a glimpse into the world of top level mathematics, I cannot recommend a better book.

I ve been interested in the Millennium problems since I first read about them several years ago It was exciting to read about the first one to be solved I never took topology in college, though, so I have to admit that ...

This book was in the mathematics section in the library and I was expecting somethingmathematics focused Hence I was disappointed by the history lesson this book turned out to be Except for the initial confusion, it was a nice read.

As a recent grad student in mathematics I found this book incredibly interesting It made me want to go on and get my Ph.D in manifold theory.

Henri Poincar enuncio una congettura E possibile che il gruppo fondamentale di una varieta sia l identita , ma che la varieta in questione non sia omeomorfa alla sfera tridimensionale A chi non ha studiato matematica, tante delle parole presenti nella congettura di Poincar siamo a cavallo tra il 1800 e il 1900, non dicono niente Ma sfido chiunque a non rintracciare in esse un qualche fascino.Questa congettura e legata ad una domanda che, se possibile, e ancora piu affascinante q Henri Poincar enuncio una congettura E possibile che il gruppo fondamentale di una varieta sia l identita , ma che la varieta in questione non sia omeomorfa alla sfera tridimensionale A chi non ha studiato matematica, tante delle parole presenti nella congettura di Poincar siamo a cavallo tra il 1800 e il 1900, non dicono niente Ma sfido chiunque a non rintracciare in esse un qualche fascino.Questa congettura e legata ad una domand...

This was a decent book, but a bit of a hard read.Firstly, the book introduces many concepts by name, with some short descriptions, and then goes on to discuss them in some qualitative detail how one concept leads to another how concepts fail to connect For me, at least, this was difficult to follow Granted, in order to truly understand what is being discussed, you would need to understand the mathematics perhaps this is just an insurmountable problem in trying to translate high level and di This was a decent book, but a bi...

This book was about as painful as reading the book of Genesis its pages mostly comprise a chronological list of mathematicians and so and so s work begot so and so s thesis interspersed with definitions sans explanation or example a group, a ring, etc The highlights were the only occasional example of geometry in mathematical physics or when the author found time to elaborate a littleon an interesting property of a certain metric or surface structure In fact, the best part of This book was about as painful as reading the book of Genesis its pages mostly comprise a chronological list of mathematicians and so and so s work begot so and so s thesis interspersed with definitions sans explanation or example a group, a ring, etc The highlights were the only occasional example of geometry in mathematical physics or when the author found time to elaborate a littleon an interesting property of a certain metric or surface structure In fact, the best part of the book is t...