{"id":1866,"date":"2009-11-16T16:02:26","date_gmt":"2009-11-16T15:02:26","guid":{"rendered":"http:\/\/www.walkingrandomly.com\/?p=1866"},"modified":"2009-11-16T16:02:26","modified_gmt":"2009-11-16T15:02:26","slug":"book-review-perfect-rigor","status":"publish","type":"post","link":"https:\/\/walkingrandomly.com\/?p=1866","title":{"rendered":"Book review: Perfect Rigor"},"content":{"rendered":"

Within every field of human endeavor there is a collection of Holy Grail-like accomplishments; achievements so great that the attainment of any one of them would instantly guarantee a place in the history books. In Physics, for example, there is the discovery of the Higgs boson<\/a> or room temperature superconductivity<\/a>; Medicine has the cure for cancer and how to control the ageing process whereas Astronomy has dark matter and the discovery of extra-solar planets that are capable of supporting life.<\/p>\n

Of course, mathematics is no exception and its Holy Grail set of exploits include problems such as the proof of the Riemann hypothesis<\/a>, the Goldbach conjecture<\/a> and the Collatz Problem<\/a>.\u00a0 In the year 2000, The Clay Mathematics Institute<\/a> chose seven of what it considered to be the most important unsolved problems in mathematics and offered $1 million for the solution of any one of them.\u00a0 These problems have since been referred to as The Millenium Prize Problems<\/a> and many mathematicians thought that it would take several decades before even one was solved.<\/p>\n

Just three years later, Grigori Perelman<\/a> solved the first of them –\u00a0 The Poincar\u00e9 conjecture<\/strong><\/a>.\u00a0 Stated over 100 years ago (in 1904 to be exact) by Henri Poincar\u00e9, the conjecture says that ‘Every simply connected closed three-manifold is homeomorphic to the three-sphere’.\u00a0 If, like me, you struggle to understand what that actually means then an alternative statement provided by Wolfram Alpha<\/a> might help – ‘The three-sphere is the only type of bounded three-dimensional space possible that contains no holes.’\u00a0 99 years later, after generations of mathematicians tried and failed to prove this statement, Perelman published a proof on the Internet that has since been verified as correct by several teams of mathematicians.\u00a0 For this work he was awarded the Field’s Medal, one of the highest awards in mathematics, which he refused.\u00a0 According to Wolfram Alpha, Perelman also refused the $1 million from the Clay Institute but, as far as I know at least, he has not yet been offered it (can anyone shed light on this matter?).<\/p>\n

Yep, Girgori Perelman is clearly rather different from most of us.\u00a0 Not only is he obviously one of the most gifted mathematicians in the world but he also sees awards such as the Field’s Medal very differently from many of us (after all, would YOU refuse such an award – I know I wouldn’t!).\u00a0 So, what kind of a man is he?\u00a0 How did he become so good at mathematics and why did he turn down such prestigious prizes?<\/p>\n

\"Perfect<\/a><\/p>\n

In her book, Perfect Rigor<\/a>, Masha Gessen attempts to answer these questions and more besides by writing a biography of Perelman.\u00a0 Starting before he was even born, Gessen tells Perelman’s story in the words of those who know him best – his friends, colleagues and competitors.\u00a0 Unfortunately, we never get to hear from the man himself because he cut off all communications with journalists before Gessen started researching the book.\u00a0 Despite this handicap, I think that she has done an admirable job and by the end of it I have a feeling that I understand Perelman and his motives a little better than before.<\/p>\n

This is not a book about mathematics, it is a book about people who DO mathematics and gives an insight into the pressures, joys and politics that surround the subject along with what it was like to be a Jewish mathematician in Soviet-era Russia.\u00a0 What’s more, it is absolutely fascinating and I devoured it in just a few commutes to and from work.\u00a0 With hardly an equation in sight, you don’t need pencil and paper to follow the story (unlike many of the books I read on mathematics), all you need is a few hours and somewhere to relax.<\/p>\n

The only problem I have with this book is that by the end of it I didn’t feel like I knew much more about the Poincar\u00e9 conjecture itself despite getting to know its conqueror a whole lot more.\u00a0 Since I didn’t know much (Oh Ok…anything) about it to start with this is a bit of a shame.\u00a0 Near the end of writing this review, I took a look at what reviewers on Amazon.com thought of it and it seems that some of them are also disappointed at the mathematical content of the book and they come from a position of some authority on the subject.\u00a0 The best I can say is that if you want to learn about the Poincar\u00e9 conjecture then this probably isn’t the book for you.<\/p>\n

If, on the other hand, you want to learn more about the human being who slayed one of the most difficult mathematical problems of the millennium then I recommend this book wholeheartedly.<\/p>\n","protected":false},"excerpt":{"rendered":"

Within every field of human endeavor there is a collection of Holy Grail-like accomplishments; achievements so great that the attainment of any one of them would instantly guarantee a place in the history books. In Physics, for example, there is the discovery of the Higgs boson or room temperature superconductivity; Medicine has the cure for […]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[38,6],"tags":[],"class_list":["post-1866","post","type-post","status-publish","format-standard","hentry","category-books","category-general-math"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3swhs-u6","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/1866","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1866"}],"version-history":[{"count":10,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/1866\/revisions"}],"predecessor-version":[{"id":1876,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/1866\/revisions\/1876"}],"wp:attachment":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1866"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1866"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1866"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}