Donal OShea [Download Read] The Poincaré Conjecture In Search of the Shape of the Universe



10 thoughts on “The Poincaré Conjecture In Search of the Shape of the Universe

  1. says:

    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

  2. says:

    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 uestion 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

  3. says:

    There was some explanation earlier in the book but later explanation was poor I came away with little understanding of how the Poincare conjec

  4. says:

    Why is this book not widely read? It's at least as good as books like Fermat's Last Theorem with far mathematical content If any layman wants a glimpse into the world of top level mathematics I cannot recommend a better book

  5. says:

    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

  6. says:

    This book was in the 'mathematics' section in the library and I was expecting something mathematics focused Hence I was di

  7. says:

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

  8. says:

    The fact is I would need infinitive sets of lifes to read all the books I want and another set of infinitive lifes to put into practice everything I read in all the books I would achieve to read in those other infinite sets of lifes certainly an infinite number of books And yet I would need an infinite memory to

  9. says:

    This was a decent book but a bit of a hard readFirstly the book introduces many concepts by name with some short descriptions and then goes on to discuss them in some ualitative 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

  10. says:

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Free read ✓ PDF, DOC, TXT, eBook or Kindle ePUB free ó Donal OShea

T 2006 He also will almost certainly share a Clay Institute millennium awardIn telling the vibrant story of The Poincaré 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 conjectu. The fact is I would need infinitive sets of lifes to read all the books I want and another set of infinitive lifes to put into practice everything I read in all the books I would achieve to read in those other infinite sets of lifes certainly an infinite number of books And yet I would need an infinite memory to recall all the things I learn from them and correct maybe all the infinite sets of mistakes I would make during my infinite learning If infinite books available I might not be able to start anew with the first book but having enough infinite time who knows Life would be infinite even if memory would notI finished this book with a feeling of satisfaction with the great pleasure of having touched albeit with the points of my fingers the fascinating world of topology and geometry and while I want to learn I get the feeling I will not have enough time in this life to grasp this incredible world it s been opened to me to understand all the nuancies not even the most simple ones It is a very sad moment to realise this life is simply much too short to discover all the beauty hidden behind the walls of ignoranceThis is a fascinating book casting the search for a solution for an unsurmountable until Perelman arrived of course and difficult extremely difficult problem for performing the task of solving an open uestion well rather a conjecture posed by Poincar one of the greatest mathematicians in history in the last page of his last work on topology analysis situs the Poincar s conjectureI knew little about topology and geometry before reading the book and after reading the book I want as a physicist I have the right to say I was ignorant before reading the book but I remain ignorant as well after the reading and this is uite disatisfyingSo many brilliant minds failed and then out of the blue well a blue which is not at all such looking at the brilliant background of the solver and his career one clear mind Perelman of course came from the cold Russia with modesty and right attitude a bold mind who after solving such Conjecture went back to his cave from where he came from to never show up after saying something similar to hey world look what I leave for the future of maths Just some notes for you to read By the way I got solved the Poincar s conjecture but please leave me alone I was just playing Sudoku Thank you very much I loved and read with great pleasure the way the author presented the very difficult concepts and math topics to later give a sucint explanation of what was solved by Perelman actually I loved to read the historical overview surrounding the lifes and circumstances the diffculties and disappointments the many great mathematicians suffere the context and the background human and mathematical until a Russian mathematician came to fill in the void If this is not a fascinating story then you really don t have a sense for beauty and the misterious ways you may need to arrive at itAt times reading was difficult Mathematical concepts are not easy to explain for the layman but the author achieves when necessary almost always to use the correct explanation find the correct example or comparison to use the right words a clear mind would need to use and an average mind would need to understand Enlightning and absolutely recommendable Reviving the Broken Marionette certainly share a Clay Institute millennium awardIn telling the vibrant story of The Poincaré Conjecture Donal O'Shea makes accessible to general readers for the first time the meaning of the Service Book ... of the Antiochian Orthodox Christian Archdiocese of North America 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 A Curse So Dark and Lonely (Cursebreakers, conjectu. The fact is I would need infinitive sets of lifes to read all the books I want and another set of infinitive lifes to put into practice everything I read in all the books I would achieve to read in those other infinite sets of lifes Look Again certainly an infinite number of books And yet I would need an infinite memory to recall all the things I learn from them and Alle vi børn i Bulderby. De første historier om alle vi børn i Bulderby correct maybe all the infinite sets of mistakes I would make during my infinite learning If infinite books available I might not be able to start anew with the first book but having enough infinite time who knows Life would be infinite even if memory would notI finished this book with a feeling of satisfaction with the great pleasure of having touched albeit with the points of my fingers the fascinating world of topology and geometry and while I want to learn I get the feeling I will not have enough time in this life to grasp this incredible world it s been opened to me to understand all the nuancies not even the most simple ones It is a very sad moment to realise this life is simply much too short to discover all the beauty hidden behind the walls of ignoranceThis is a fascinating book Il piacere nel Medioevo casting the search for a solution for an unsurmountable until Perelman arrived of Il disait qu'il m'aimait course and difficult extremely difficult problem for performing the task of solving an open uestion well rather a Drunk on the Moon conjecture posed by Poincar one of the greatest mathematicians in history in the last page of his last work on topology analysis situs the Poincar s Der ganze weg conjectureI knew little about topology and geometry before reading the book and after reading the book I want as a physicist I have the right to say I was ignorant before reading the book but I remain ignorant as well after the reading and this is uite disatisfyingSo many brilliant minds failed and then out of the blue well a blue which is not at all such looking at the brilliant background of the solver and his Rich Habits Poor Habits career one El Metal clear mind Perelman of The Ichneutae of Sophocles, with Notes and a Translation Into English, Preceded by Introductory Chapters Dealing with the Play, with Satyric Drama, an course Kana Pict-o-Graphix came from the Sienkiewicz. Żywot pisarza cold Russia with modesty and right attitude a bold mind who after solving such Conjecture went back to his TFS Ingenuity (The Terran Fleet Command Saga cave from where he Wybor idiomów angielskich came from to never show up after saying something similar to hey world look what I leave for the future of maths Just some notes for you to read By the way I got solved the Poincar s How Could She? conjecture but please leave me alone I was just playing Sudoku Thank you very much I loved and read with great pleasure the way the author presented the very difficult Words on Words concepts and math topics to later give a sucint explanation of what was solved by Perelman actually I loved to read the historical overview surrounding the lifes and Finding Magic (Downside Ghosts, circumstances the diffculties and disappointments the many great mathematicians suffere the Half My Blood (Dartmoor, context and the background human and mathematical until a Russian mathematician Ja - Ty - My came to fill in the void If this is not a fascinating story then you really don t have a sense for beauty and the misterious ways you may need to arrive at itAt times reading was difficult Mathematical Diamond Grill concepts are not easy to explain for the layman but the author achieves when necessary almost always to use the The Poisoned Honey Cake (Roman Mystery Scrolls, correct explanation find the Katyně correct example or Evolving Brains, Emerging Gods comparison to use the right words a How Much Wood Would a Woodchuck Chuck? clear mind would need to use and an average mind would need to understand Enlightning and absolutely recommendable

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The Poincaré Conjecture In Search of the Shape of the Universe

Henri Poincaré 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 Poincaré conjecture lies at the heart of modern geometry and topology and even pertains to the possible shape of the universe The conjecture. 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 uestion 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 start off from one point and keep going in the same direction they ll come back to where they started Our universe is finite and without boundary in the same way If you get on a spaceship and keep going in the same direction eventually you ll be back in the same neighborhood This one is harder to imagine isn t it In the case of two dimensional people living on a sphere we can see how it can be finite but without boundary because we can see how the sphere bends in a third dimension But how is it for our three dimensional universe There s no fourth dimension to bend in Reading this book didn t make it any easier for me to really understand how the universe can be finite but without a boundary All I can do is uote the two dimensional analogy but I m still a three dimensional earthling But even assuming that the universe is finite and without boundary is it a three sphere To go back to the two sphere analogy just because Magellan sailed in the same direction and came back to where he started doesn t mean that the earth is a sphere It can also be doughnut shaped and the same would still happen No one really knows what the shape of the universe is There s a lot of evidence for it being flat whatever that means And the Poincare Conjecture It says that a finite no boundary space that is simply connected is a three sphere This uestion is obviously of great interest both to mathematicians and to the physicists studying the geometry of the universe We still don t know if the universe is simply connected or not A ball is simply connect but something like a doughnut is not simply connected Unlike Reimann s Hypothesis the Poincare Conjecture was finally proved after much heartbreak and agony by an eccentric Russian mathematician named Gregori Perelman who didn t even accept the award for it The book tells the story of the conjecture and the man who proved it Good pop science and math history A Passion for More century He revolutionized the field of topology which studies properties of geometric Kodak and the Lens of Nostalgia configurations that are unchanged by stretching or twisting The Poincaré Spojrzenie na sztukę conjecture lies at the heart of modern geometry and topology and even pertains to the possible shape of the universe The Nue conjecture. 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 uestion 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 The Clan (Play to Live 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 start off from one point and keep going in the same direction they ll A Fools Paradise come back to where they started Our universe is finite and without boundary in the same way If you get on a spaceship and keep going in the same direction eventually you ll be back in the same neighborhood This one is harder to imagine isn t it In the Lardżelka case of two dimensional people living on a sphere we Beauty Ravished can see how it Reviving the Broken Marionette can be finite but without boundary because we Service Book ... of the Antiochian Orthodox Christian Archdiocese of North America can see how the sphere bends in a third dimension But how is it for our three dimensional universe There s no fourth dimension to bend in Reading this book didn t make it any easier for me to really understand how the universe A Curse So Dark and Lonely (Cursebreakers, can be finite but without a boundary All I Look Again can do is uote the two dimensional analogy but I m still a three dimensional earthling But even assuming that the universe is finite and without boundary is it a three sphere To go back to the two sphere analogy just because Magellan sailed in the same direction and Alle vi børn i Bulderby. De første historier om alle vi børn i Bulderby came back to where he started doesn t mean that the earth is a sphere It Il piacere nel Medioevo can also be doughnut shaped and the same would still happen No one really knows what the shape of the universe is There s a lot of evidence for it being flat whatever that means And the Poincare Conjecture It says that a finite no boundary space that is simply Il disait qu'il m'aimait connected is a three sphere This uestion is obviously of great interest both to mathematicians and to the physicists studying the geometry of the universe We still don t know if the universe is simply Drunk on the Moon connected or not A ball is simply Der ganze weg connect but something like a doughnut is not simply Rich Habits Poor Habits connected Unlike Reimann s Hypothesis the Poincare Conjecture was finally proved after much heartbreak and agony by an eccentric Russian mathematician named Gregori Perelman who didn t even accept the award for it The book tells the story of the El Metal conjecture and the man who proved it Good pop science and math history

Free read ✓ PDF, DOC, TXT, eBook or Kindle ePUB free ó Donal OShea

States that there is only one shape possible for a finite universe in which every loop can be contracted to a single pointPoincaré'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 euivalent of a Nobel prize in Augus. This book was in the mathematics section in the library and I was expecting something mathematics 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