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# The Poincare Conjecture

by
Donal O'Shea

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 univers...more

Kindle Edition

Published
(first published 2007)

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## Community Reviews

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May 07, 2013
Marco Dal Pozzo
rated it
5 of 5 stars
·
review of another edition

Shelves:
scienza,
matematica

Henri Poincaré 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 Poincaré - 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...more

A chi non ha studiato matematica, tante delle parole presenti nella congettura di Poincaré - 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...more

Feb 15, 2010
Chris
rated it
2 of 5 stars
·
review of another edition

Recommends it for:
People who love math but have the patience to listen to someone poorly explain topology

Shelves:
2010-books

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 little more on an interesting property of a certain metric or surface structure.

In fact, the best part of...more

In fact, the best part of...more

Takes some imagination and thinking to get ones mind around the concepts discussed but all in all an awesome book. One of my favorite when it comes to popular science.

Its kind of like a "history of topology", "story of a frustrating problem and the journey to its solution" and discussion between you and the author about what topology really is about all wrapped into one book.

Sep 19, 2008
Richard
rated it
5 of 5 stars
·
review of another edition

Recommends it for:
Nerds, history buffs, math geeks

Shelves:
mathamatics

I originally purchased this book to learn more about Gregory Perelman and the fields medal he turned down, but over the course of the book you get such a detailed explanation of the history of math, that I spent just as much time in wikipedia as I did reading this book. Fantastic read, for every type of math fan out there, of every level of proficiency.

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...more

Aug 15, 2007
Sean
rated it
5 of 5 stars
·
review of another edition

Recommends it for:
anyone who has ever asked me what "mathematical research" is

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.

Oct 18, 2010
Andrew Thibodeau
rated it
4 of 5 stars
·
review of another edition

Shelves:
mathematics

The universe is a infinite topologically bounded three dimensional manifold. Did I say that right?

Really digging this book!

Mit sowas und noch viiiel komplizierter befasst sich heute die Mathematik und unterstützt dabei die Physik und die Astronomie.

Ne...more

I was also left wanting to know more about Perelman himself. As apparently most other people do, Donal O'Shea makes Perelman's reclusive personality part of the story, and this is wher...more

Il libro è abbastanza divulgativo, ma ci vogliono nozioni di topologia per comprendere appieno di che cosa si stia parlando.

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