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Guided by the premise that solving some of the world's most important mathematical problems will advance the field, this book offers a fascinating look at the seven unsolved Millennium Prize problems. This work takes the unprecedented approach of describing these important and difficult problems at the professional level. In announcing the seven problems and a US$7 million prize fund in 2000, the Clay Mathematics Institute emphasized that mathematics still constitutes an open frontier with important unsolved problems. The descriptions in this book serve the Institute's mission to "further the beauty, power and universality of mathematical thinking." Separate chapters are devoted to each of the seven problems: the Birch and Swinnerton-Dyer Conjecture, the Hodge Conjecture, the Navier-Stokes Equation, the P versus NP Problem, the Poincaré Conjecture, the Riemann Hypothesis, and Quantum Yang-Mills Theory. An essay by Jeremy Gray, a well-known expert in the history of mathematics, outlines the history of prize problems in mathematics and shows how some of mathematics' most important discoveries were first revealed in papers submitted for prizes. Numerous photographs of mathematicians who shaped mathematics as it is known today give the text a broad historical appeal. Anyone interested in mathematicians' continued efforts to solve important problems will be fascinated with this text, which places into context the historical dimension of important achievements. A co-publication of the AMS and the Clay Mathematics Institute (Cambridge, MA). ... Read more

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Chapters: Isaac Newton, Alan Turing, Bertrand Russell, Ada Lovelace, Charles Babbage, J. J. Thomson, Andrew Wiles, John Horton Conway, Paul Dirac, Edmond Halley, Roger Penrose, Freeman Dyson, Alfred North Whitehead, George Boole, Oliver Heaviside, Christopher Wren, G. H. Hardy, Ronald Fisher, Max Newman, Isaac Barrow, Edward Waring, Thomas Bayes, William Mccrea, Karl Pearson, John Edensor Littlewood, Thomas Bradwardine, Peter Barlow, Emery Molyneux, Edward Wright, Robert Hues, John Dee, John Couch Adams, Lewis Fry Richardson, John Wallis, William Penney, Baron Penney, George Peacock, George Green, Thomas Harriot, Baden Powell, I. J. Good, John Dawson, Thomas Blundeville, James Jurin, William Oughtred, William Whiston, Douglas Hartree, Ian Stewart, John Kingman, Maurice Kendall, Shahn Majid, Conway Berners-Lee, E. T. Whittaker, Roger Cotes, William Hopkins, James Hopwood Jeans, Timothy Gowers, John Gough, Geoffrey Ingram Taylor, David Cox, Dorothy Maud Wrinch, Alan Baker, Jonas Moore, John Nunn, Harold Jeffreys, Shaun Wylie, Sydney Chapman, William Leybourn, Edward Arthur Milne, George Walker, Alan M. Frieze, Henry Briggs, Ernest William Barnes, John Collins, Harold Scott Macdonald Coxeter, Daniel Pedoe, Richard of Wallingford, Leonard Digges, William Gascoigne, Joseph Proudman, John Holwell, Isaac Milner, William Crabtree, Thomas Lydiat, Peter Swinnerton-Dyer, George Darwin, John Hymers, G. Spencer-Brown, Harry Bateman, Charles Hutton, David Spiegelhalter, Edmund Wingate, James Dodson, Frank Adams, Richard V. Southwell, Nicholas Saunderson, Edward Brerewood, John Fletcher Moulton, Baron Moulton, Jonathan Mestel, Samuel Morland, James Cockle, Frank Kelly, Samuel Foster, Graham Nelson, Bill Parry, Robert Smith, Owen Saunders, Ronald Rivlin, Wendy Hall, Ben J. Green, George Barker Jeffery, Walter Warner, Eaton Hodgkinson, David George Kendall, Robert Leslie Ellis, Hertha Marks Ayrton, Ruth Lawrence, Bernard de Neumann, Tom Willm...More: http://booksllc.net/?id=14627 ... Read more

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Les achats comprennent une adhésion à l'essai gratuite au club de livres de l'éditeur, dans lequel vous pouvez choisir parmi plus d'un million d'ouvrages, sans frais. Le livre consiste d'articles Wikipedia sur : Andrew Wiles, Paul Dirac, Alan Turing, John Maynard Keynes, Oliver Heaviside, Roger Penrose, George Boole, Bertrand Russell, Lewis Carroll, Lewis Fry Richardson, Charles Babbage, Robert Grossetête, Alfred North Whitehead, Auguste de Morgan, Joannes de Sacrobosco, Jacob Bronowski, Ada Lovelace, Thomas Bradwardine, Stephen Wolfram, George Darwin, Erik Christopher Zeeman, Godfrey Harold Hardy, John Wallis, Henry Briggs, Thomas Heath, William Kingdon Clifford, Donald Davies, Brook Taylor, Irving John Good, Edmund Gunter, John Horton Conway, Karl Pearson, James Jeans, George Green, James Ivory, Samuel Hunter Christie, William Wallace, Charles Hutton, Peter Barlow, William Oughtred, Ian Stewart, James Joseph Sylvester, Edward Wright, Benjamin Robins, David Trotman, Edmund Taylor Whittaker, William Jones, Michael Atiyah, John Couch Adams, Frank Ramsey, Percy John Heawood, William Brouncker, Edward Arthur Milne, Ronald Aylmer Fisher, Kenneth Binmore, Simon Donaldson, Robert Woodhouse, Thomas Bayes, Augustus Edward Hough Love, George Garfield Hall, Georg Kreisel, Keith Moffatt, Thomas Hornsby, Horace Lamb, William Whewell, Roger Cotes, Temple Chevallier, Arthur Cayley, Edward Waring, John M. Ball, Peter Swinnerton-Dyer, J. H. C. Whitehead, John Pell, Egon Sharpe Pearson, Samuel Vince, Klaus Roth, Sydney Chapman, Chandra Wickramasinghe, Jonathan Mestel, Arthur Geoffrey Walker, John Machin, Nicholas Saunderson, Thomas Wright, Dorothy Maud Wrinch, Alan Baker, John Landen, John Craig, Marcus Du Sautoy, William Henry Young, Grace Chisholm Young, John Collins, John Colson, Max Newman, Henry Dudeney, John Venn, William George Horner, Isaac Milner, Michael James Lighthill, William Spottiswoode, Benjamin Gompertz, Reuben Goodstein, Thoma...http://booksllc.net/?l=fr ... Read more

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Chapters: James D. Watson, Andrew Wiles, Sabine Baring-Gould, David Attenborough, Rupert Sheldrake, Thomas Pelham-Holles, 1st Duke of Newcastle, Charles Cornwallis, 1st Marquess Cornwallis, Richard Williamson, Cecil Sharp, China Miéville, Kwame Anthony Appiah, Paul Mellon, Matthew Parris, Thomas Townshend, 1st Viscount Sydney, William Denis Browne, David Jeaffreson, Henry Pering Pellew Crease, John Rutter, Ernest de Silva, List of Clare College People, Peter Ackroyd, Oscar Kempthorne, Geoffrey Crowther, Baron Crowther, William Allen, Sue Lenier, Robin Cooke, Baron Cooke of Thorndon, Cathcart Wight-Boycott, Geoffrey Robinson, Meredith Belbin, Peter Lilley, Geoffrey Hutchinson, Baron Ilford, Nicholas Shackleton, Clifford Dupont, Peter J. Landin, Randy Lerner, Prince Tomislav of Yugoslavia, Geoffrey de Freitas, David Howarth, I. H. N. Evans, Christopher Smout, Granville Coghlan, Samuel Clapham, Roger Norrington, Richard Wainwright, Richard Stilgoe, Cuthbert Burnup, Tim Hunt, John Waldron, Philip Jenkins, Theodore Fraser, Richard Taylor, James Riddell, William Wotherspoon, Osbert Mackie, Amiya Charan Banerjee, Ruth Holton, Frederic Alderson, Ernest Gowers, Robert Key, Christian Coulson, J. Rendel Harris, Andrew Amos, Michael Wills, Tom Mcgown, Edward Bullard, James Gowans, Knox Cunningham, Robert Manuel Cook, Tim Loughton, Paul Wilson, Baron Wilson of High Wray, Stanley Boulter, John Bridger, Phil Williams, Desmond Ackner, Baron Ackner, Walter Weston, John Hervey, 1st Earl of Bristol, D. J. Finney, Tony Church, David Cannadine, Kenneth Stoddart, Gerald Duckworth, Charles Paulet, 13th Marquess of Winchester, Sir Leonard Ropner, 1st Baronet, Vernon White, Robert Orledge, Peter Henry Emerson, John Murray Prain, John Berridge, Max Bemrose, John Nissen, Charles Sanford Terry, J. H. Parry, John de Courcy Ling, Elin Manahan Thomas, Arnold Alexander Hall, Owen Seaman, Stuart Murphy, Hector Munro Macdonald, Charles Brodrick, Sir James Gra...More: http://booksllc.net/?id=78468 ... Read more

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This digital document is an article from Science and Its Times, brought to you by Gale®, a part of Cengage Learning, a world leader in e-research and educational publishing for libraries, schools and businesses.The length of the article is 853 words.The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase.You can view it with any web browser.The histories of science, technology, and mathematics merge with the study of humanities and social science in this interdisciplinary reference work. Essays on people, theories, discoveries, and concepts are combined with overviews, bibliographies of primary documents, and chronological elements to offer students a fascinating way to understand the impact of science on the course of human history and how science affects everyday life. Entries represent people and developments throughout the world, from about 2000 B.C. through the end of the twentieth century. ... Read more

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Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Andrew Wiles, James Hilton, J. G. Ballard, Malcolm Lowry, Michael Rennie, Christopher Hitchens, Peter Hitchens, Eric A. Havelock, Donald Winnicott, Jamie Murray, the Leys School, Georgie Stoop, Martin Bell, J. Arthur Rank, 1st Baron Rank, George Tupou V, J. J. C. Smart, ʻahoʻeitu ʻunuakiʻotonga Tukuʻaho, Christopher Smout, Hamad Ibn Isa Al Khalifah, Henry Hallett Dale, James Hope Moulton, Richard Taylor, Tinsley Lindley, Donald Bailey, Alex Goode, Alastair Burnet, Edwin Mayfield, Peter Oliver, Baron Oliver of Aylmerton, David Skinner, Eric Whelpton, Freddie Brown, Neville Robinson, Joseph Wellington Hunkin, John James Oddy, Simon Keynes, Ginnosuke Tanaka, John Clapham. Source: Wikipedia. Free updates online. Not illustrated. Excerpt: Christopher Eric Hitchens (born April 13, 1949) is an English-American author and journalist. His books, essays, and journalistic career have spanned more than four decades, making him a public intellectual, and a staple of talk shows and lecture circuits. He has been a columnist and literary critic at The Atlantic, Vanity Fair, Slate, World Affairs, The Nation, Free Inquiry, and a variety of other media outlets. As a political observer, polemicist and self-defined radical with an astute historical knowledge, Hitchens rose to prominence as a fixture of the left-wing publications of both his native United Kingdom and United States. Hitchens's departure from the established political left began in 1989 after what he called the "tepid reaction" of the European left following Ayatollah Khomeini's issue of a fatw calling for the murder of Salman Rushdie. The September 11, 2001 attacks strengthened his embrace of an interventionist foreign policy, and his vociferous criticism of what he called "fascism with an Islamic face." Hitchens's adoption of interven...More: http://booksllc.net/?id=228998 ... Read more

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Chapters: Andrew Wiles, Saul Kripke, Willard Van Orman Quine, John Rawls, Mauricio Kagel, György Ligeti, Dana Scott, Thomas Nagel, Giuseppe Penone, Michael Dummett, Kronos Quartet, Anne Sofie Von Otter, Claes Oldenburg, Herzog ... Read more

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Chapters: Andrew Wiles, C. A. R. Hoare, Alec Jeffreys, Roger Bannister, Adam Hart-Davis, Mark Thompson, Ian Kershaw, Martin Gilbert, Anthony James Leggett, Crown Prince Naruhito, Rick Trainor, Peter Tapsell, Howard Stringer, Rick Levin, Kenneth Dover, Rex Richards, Patrick Wright, Baron Wright of Richmond, Jeremy Isaacs, John Burnett, Baron Burnett, John Boardman, Anatole Abragam, J. C. Holt, Michael Palliser, Christopher Ball, Robert Wilson. Source: Wikipedia. Pages: 127. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Sir Ian Kershaw (born 29 April 1943, Oldham, Lancashire, England) is a British historian of 20th-century Germany whose work has chiefly focused on the period of the Third Reich. He is noted for his monumental biography of Adolf Hitler, which has been called "soberly objective." He was the leading disciple of the late West German historian Martin Broszat, and (until his retirement) professor at the University of Sheffield. Kershaw has called Broszat an "inspirational mentor" who did much to shape his understanding of National Socialist Germany. Kershaw served as historical adviser on numerous BBC documentaries, notably The Nazis: A Warning From History and War of the Century. He taught a module entitled 'Germans against Hitler'. His wife Dame Betty Kershaw was a Dean at Sheffield. Kershaw was born into a working-class, Catholic family in Oldham and was educated at the local grammar school During his youth, he became fascinated with the early modern and medieval periods when England was Catholic. Educated at St Bede's College, Manchester, the University of Liverpool (BA) and Merton College, Oxford (D.Phil), Kershaw was originally trained as a medievalist but turned to the study of modern German social history in the 1970s. At first, Kershaw was mainly concerned with the econ...More: http://booksllc.net/?id=1170708 ... Read more

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Les achats comprennent une adhésion à l'essai gratuite au club de livres de l'éditeur, dans lequel vous pouvez choisir parmi plus d'un million d'ouvrages, sans frais. Le livre consiste d'articles Wikipedia sur : Alfred Hitchcock, Andrew Wiles, Tim Berners-Lee, Steven Spielberg, Charlie Chaplin, Maurice Druon, Frank Whittle, Wesley Clark, Pelham Grenville Wodehouse, Frank Macfarlane Burnet, Elie Wiesel, Mstislav Rostropovitch, Henry Rider Haggard, Michael Balcon, Carlos Ghosn, Georg Solti, Marcus Oliphant, Mario Praz, Donald Tsang, Francis Chichester, Arthur Rubinstein, Sebastian Coe, Yehudi Menuhin, Sidney Poitier, William Henry Bragg, 'abbâs Effendi, Murray Perahia, Edmund Hillary, Tom Davis, Kamisese Mara, Frank Messervy, Arthur Rostron, Bernard Haitink, Edgar Sengier, Eugene Ormandy, Paddy Ashdown, Bernard Freyberg, Edward Spears, Eduardo Paolozzi, Alan Lloyd Hodgkin, Brian Horrocks, Karim Aga Khan Iv, Ninian Stephen, Adrian Carton de Wiart, Lewis Mumford, John Holmes, James Wolfensohn, Lindsay Owen-Jones, Mutesa Ii, John Pople, Sandy Glen, Frederick Banting, William Deane, Taufa'ahau Tupou Iv, Ralf Gustav Dahrendorf, Richard Gale, Peter de La Billière, Seretse Khama, Guy Green, Eric Willis, Anthony Leggett, Charles Royds, Bertram Ramsay, Edgeworth David, Peter Blake, John Compton, James Darcy Freeman, Louis Bonvin, Henry Thornton, Alfred Brendel, Ronald Scobie, Horace Darwin, Harold Spencer Jones, John Lavarack, Richard Scott, Li Ka-Shing, Edward R. Murrow, Percy Hobart, Henry Braddon, James Mancham, Noel Beresford-Peirse, William Orpen, John Crocker, Julius Chan, Dean Rusk, Tomasi Puapua, Bill Deedes, Oswald Nigel Cecil, Ira C. Eaker, Adetokunbo Ademola, Anand Panyarachun, Donald Dunstan, John Lennard-Jones, Roy Mckenzie, Lewis Heath, Terry Wogan, Henri Deterding, Lou Gerstner, Roger Hollis, Paul Dukes, Guy Standing, Cyril Deverell, Fabian Malbon. Non illustré. Mises à jour gratuites en ligne. Extrait : Sir Alfred Hitchcock,...http://booksllc.net/?l=fr ... Read more

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Purchase includes free access to book updates online and a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Andrew Wiles, T. S. Eliot, William of Ockham, C. A. R. Hoare, Frederick Soddy, Alec Jeffreys, Edmund Clerihew Bentley, Adam Hart-Davis, Airey Neave, Thomas Bradwardine, Kris Kristofferson, Max Beerbohm, John Kemp, Richard Steele, John Earle, John de Stratford, Mark Thompson, Mandell Creighton, Ian Kershaw, Reginald Maudling, John Jewel, Lord Randolph Churchill, Charles Geoffrey Vickers, Leonard Cheshire, Anthony James Leggett, Stuart Hall, Denis Macshane, Brian Butterworth, Alister Mcgrath, Hugh Greene, Sheridan Morley, Wilder Penfield, Arthur Mutambara, Crown Prince Naruhito, Sir Walter Clarges, 1st Baronet, Mark Bevir, Nikolaas Tinbergen, George Mallaby, Henry Neville, Stephen Potter, St. John Emile Clavering Hankin, Ed Vaizey, Gregory Dix, Rick Trainor, Peter Tapsell, Henry Mayr-Harting, Henry Northcote, 1st Baron Northcote, John Selwyn Gilbert, Edward Lucie-Smith, Reynolds Price, Edwin Stephen Goodrich, Eardley Norton, John Hill, Howard Stringer, George Hammond, Keith Douglas, Edward Brydges Willyams, John Wilfred Stanier, Lord Henry Seymour-Conway, Conrad Russell, 5th Earl Russell, Roger Lancelyn Green, Anthony Holden, Fred Paterson, George Howson, Timothy Barnes, Spenser Wilkinson, Jeremy Commons, Frank Bough, Francis Mason, Alan Sked, Jeremy Black, Oliver Ford Davies, Coningsby Dawson, Charles Richard Vaughan, Mark Haddon, Robert Byron, Thomas Fowler, Patrick Wright, Baron Wright of Richmond, Michael Coulson, Edward Backhouse Eastwick, Howard Davies, Mikko Kaasalainen, John Parkhurst, John Boileau, Pablo Eisenberg, Bruce Mitchell, Christopher Davenport, John Davenport, Lennox Berkeley, Jeremy Isaacs, Aubrey Manning, Colin Bundy, Michael A. Jackson, Douglas Lepan, Ben Summerskill, Walter Warner, Colin Sleeman, Hector Hetherington, Terence O'brien, Richard Smyth, Verrier El... ... Read more

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Les achats comprennent une adhésion à l'essai gratuite au club de livres de l'éditeur, dans lequel vous pouvez choisir parmi plus d'un million d'ouvrages, sans frais. Le livre consiste d'articles Wikipedia sur : Andrew Wiles, René Thom, Bertrand Russell, Emmy Noether, David Hilbert, Richard Von Mises, Henri-Léon Lebesgue, Norbert Wiener, Hermann Weyl, Vito Volterra, Henri Cartan, Jacob Bronowski, Paul Erdős, André Weil, Eric Temple Bell, Heinrich Tietze, Wilhelm Blaschke, Andreï Kolmogorov, Mary Cartwright, Godfrey Harold Hardy, Dennis Sullivan, Stefan Banach, Noam Elkies, Douglas Hartree, Alexander Ostrowski, Thomas Muir, Hans Rademacher, Jean Dieudonné, Maurice René Fréchet, Wilhelm Wirtinger, James Cooley, David Ruelle, Tullio Levi-Civita, Fabrice Bellard, Richard Courant, Bartel Leendert Van Der Waerden, Edmund Taylor Whittaker, Pierre Fatou, Robert Langlands, Nicolas Muskhelichvili, Frank Ramsey, H.s.m. Coxeter, Herbert Federer, Kenneth Binmore, Simon Donaldson, Alberto Calderon, George Garfield Hall, Miklós Laczkovich, Andrew Russell Forsyth, Niels Erik Nörlund, Roger Apéry, Nathan Jacobson, Tadeusz Banachiewicz, Ernest Esclangon, John M. Ball, Sergueï Sobolev, John Adrian Bondy, Yutaka Taniyama, John Edensor Littlewood, William Burnside, Arthur T. Benjamin, Joseph Henry Maclagan Wedderburn, Pavel Urysohn, Alan Baker, Albert Millet, Helmut Hasse, William Henry Young, Kurt Mahler, Emil Artin, Masayoshi Nagata, Raymond Paley, Philippa Fawcett, Dusa Mcduff, Paul Seymour, William Timothy Gowers, Gorō Shimura, Richard V. Southwell, George Udny Yule, Ben Joseph Green, Herbert James Godwin, Daniel Pedoe. Non illustré. Mises à jour gratuites en ligne. Extrait : Amalie Emmy Noether (23 mars 1882 - 14 avril 1935) était une mathématicienne allemande connue pour ses contributions révolutionnaires en algèbre abstraite et physique théorique. Décrite par Albert Einstein et d'autres comme la femme la plus importante de l'Histoire des mat...http://booksllc.net/?l=fr ... Read more

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Les achats comprennent une adhésion à l'essai gratuite au club de livres de l'éditeur, dans lequel vous pouvez choisir parmi plus d'un million d'ouvrages, sans frais. Le livre consiste d'articles Wikipedia sur : Andrew Wiles, Rupert Sheldrake, Siegfried Sassoon, William Whiston, Ralph Cudworth, James Dewey Watson, Anthony Appiah, William Whitehead, Peter Ackroyd, John Berryman, Gerald Duckworth, Nicholas John Shackleton, David Attenborough, Tim Hunt, Christian Coulson, Roger Norrington, Jonathan Spence, Andrew Manze, Hector Munro Chadwick. Non illustré. Mises à jour gratuites en ligne. Extrait : Rupert Sheldrake (né le 28 juin 1942) est un docteur en biologie (biologiste) et un auteur anglais. Il a développé le concept de , qui utilise la notion ancienne de (dont l'existence avait été suggérée, dans les années 1920, par Hans Spemann, Alexander Gurwitsch et Paul Weiss ). Ses recherches incluent des thèmes comme le développement et le comportement chez les animaux et les végétaux, la télépathie, les perceptions extra-sensorielles et la métaphysique. Sheldrake né et élevé à Newark-on-Trent dans le Nottinghamshire reçoit son éducation secondaire au Workshop College puis étudie la biochimie au Clare College à Cambridge, et obtient son diplôme avec d'excellents résultats. Il fait partie du programme Frank Knox à Harvard où il étudie la philosophie et l'histoire. Il retourne ensuite à Cambridge où il obtient un doctorat en biochimie et fait partie du Clare College. Il devient chercheur à la Société Royale (Royal Society) de Londres puis, part à Hyderabad en Inde où il exerce en tant que Physiologiste Principal pour les Végétaux à l'Institut International de recherche sur les cultures des zone tropicales semi-arides (International Crops Research Institute for the Semi-Arid Tropics). Il vit dans l'ashram de Bede Griffiths pendant un an et demi. En tant que biochimiste, Sheldrake fait des recherches sur le rôle de l'Auxine, une hormone...http://booksllc.net/?l=fr ... Read more

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Les achats comprennent une adhésion à l'essai gratuite au club de livres de l'éditeur, dans lequel vous pouvez choisir parmi plus d'un million d'ouvrages, sans frais. Le livre consiste d'articles Wikipedia sur : Andrew Wiles, John Maynard Keynes, Douglas Adams, David Gilmour, Olivia Newton-John, Matthew Bellamy, Syd Barrett, Isobel Elsom, Edmund Nelson, Richard Attenborough, Jack Hobbs, George Paget Thomson, Ronald Searle, Douglas Hartree, William Whitehead, Simon Maccorkindale, Tom Robinson, Frank Ramsey, Ronald George Wreyford Norrish, Rebecca Mader, Simon Donaldson, Bob Klose, Nicholas Moore, Sylvan Ebanks-Blake, Christopher Cockerell, Jonathan Mestel, Michael Ramsey, Richard Cumberland, F. R. Leavis. Non illustré. Mises à jour gratuites en ligne. Extrait : John Maynard Keynes (5 juin 1883 - 21 avril 1946) est un économiste britannique de notoriété mondiale, reconnu comme le fondateur de la macroéconomie moderne, pour lequel les marchés ne s'équilibrent pas automatiquement ce qui justifie le recours à des politiques économiques conjoncturelles. Le keynésianisme, la nouvelle économie keynésienne, le néo-keynésianisme ou le post-keynésianisme plus interventionniste sont des concepts et des courants de pensée issus de l'œuvre de Keynes. Considéré comme l'un des plus influents théoriciens de l'économie du siècle, Keynes, en tant que conseiller officiel ou officieux de nombreux hommes politiques, fut l'un des acteurs principaux des accords de Bretton Woods. Il a aussi été un auteur à succès avec l'écriture d'un livre sur le traité de Versailles intitulé Les Conséquences économiques de la paix publié en 1919 et la rédaction d'articles pour les journaux. Sa première somme théorique fut le Traité sur la monnaie, mais son œuvre majeure est sans conteste la Théorie générale de l'emploi, de l'intérêt et de la monnaie (1936) , qui permit de combler un manque en fournissant notamment aux nouveaux libéraux anglais une théorie économique a...http://booksllc.net/?l=fr ... Read more

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An Introduction to the Theory of Numbers by G. H. Hardy and E. M. Wright is found on the reading list of virtually all elementary number theory courses and is widely regarded as the primary and classic text in elementary number theory. Developed under the guidance of D. R. Heath-Brown, this Sixth Edition of An Introduction to the Theory of Numbers has been extensively revised and updated to guide today's students through the key milestones and developments in number theory.

Updates include a chapter by J. H. Silverman on one of the most important developments in number theory - modular elliptic curves and their role in the proof of Fermat's Last Theorem -- a foreword by A. Wiles, and comprehensively updated end-of-chapter notes detailing the key developments in number theory. Suggestions for further reading are also included for the more avid reader.

The text retains the style and clarity of previous editions making it highly suitable for undergraduates in mathematics from the first year upwards as well as an essential reference for all number theorists. ... Read more

Customer Reviews (16)

There is no such thing as 'number theory'!
I'm not as impressed as the other reviewers here with this book, despite it's being in some sense a 'classic'.

I take it some people - I have no idea what proportion of the population - now and then are struck by properties of numbers. For example, if a number AB is added to BA, the result always divides by 11. If the difference is worked out, this is always a multiple of 9.(E.g. 75 minus 57 is 18, a multiple of 9). Or (e.g.) Any number cubed, less the number, will always divide by 6 and is also the product of three consecutive numbers.(e.g. 5 cubed is 125; less 5 gives 120, which is 4x5x6).This sort of thing is the basis of 'number theory'.

There are at least two problems with this book. Firstly, there is in fact not yet such a thing as 'number theory'. This book is a ragbag of techniques and things which have been identified and passed down by lecturers. But it is NOT a coherent 'theory' in any sense. Perhaps I might compare it with a book on 'chess theory'. Chess books have accounts of such things as opening gambits, sacrifices, end games - including some with extremely precise techniques needed for victory. And there are things like 'zwischenzug' and assorted events which are rare, but have some interest. But does this make up a body of 'theory'? I'd say not. Anyone looking to this book for insight into the Pythagorean mystery of number will in my view be more or less disappointed.

Now, what follows from this is my second point, which perhaps is to do with human psychology, or the capacity of the human brain. What is it that makes some people fix on a certain type of problem? For example, this book, like most or maybe all on number theory, starts with prime numbers - probably discovered as a result of packaging and division of actual objects. This of course had practical applications, such as the Babylonian 360 degrees, and our 12 inches, 14 pounds, 1760 yards, and so on. A collection of techniques (e.g. Eratosthenes' sieve), formulas, limits and other results has accumulated. Looking at Euclid's proof of the infinity of primes, his method was to multiply all the primes, and add 1. This function in effect is designed to use the properties of primes to generate a new prime. However Hardy and Wright don't attempt to generalise this process. Maybe Fermat's Last Theorem could be proved elegantly by inventing some ingenious function which combines the properties of addition, multiplication, and powers - repeated multiplication by the same number? What is it that makes some problems (so far) insoluble - and many of them are very trivial to state?

So we have here a collection of results, embodied in symbolism which is far enough from the actualities to (perhaps) look more impressive than it really is. Integration, for example, is basically simple enough, but the long s and the notation removes the reader from the real world...

And there's a related problem, which is that the connective material, explaining why the next bit is there and what it is supposed to illustrate, is completely missing. The result is like a tour of museum exhibits, where the tourist is expected to infer the significance of all the specimens. Or like a concert, where one sample piece of music is played after another, from which the auditor is presumably left to infer a theory of music. In fact, I've just decided to demote the book to two stars!

Easy read
This book provides a gentle presentation to many subfields of number theory: including analytic, algebraic, and elementary. It discusses generating functions in everyday language. The book's section on the zeta function is incredible. I would recommend this gem to anyone who taken calculus.

awesome book on number theory
I am an undergrad student in computer engineering. I bought this book after I looked at the table of contents and found some topics which I interested in. This is by far the best book on number theory I ever came across. It is very readable, fairly free of errors (the ones that are there are easy to spot and do not cause confusion). In comparison to another number theory book I read before. This one has the charm of making previously confusing concept clear. Different proofs are often given on major theorems. I do not really have a good way to describe it, but this book really "flows". The logic is clear and easy to follow. If I read this one to start with, it would save me a lot of time and I would have a much better understanding of the subject by now. I know, this review is totally uninformative, you have to see it for yourself to be sure, but I totally recommend this one.

The only downside is the price dropped by like 20$ since I bought it.

Number Theory
The book was an excellent accumulation
of Number Theoretic ideas. However, it
failed to produce applications or clearcut
examples of the theorems.

A Mathematical Classic Reviewed
Even though I have only read a small portion of this book, I can already tell that it deserves its "classic" label. I have been accumulating some mathematical classics, mostly purchased through Amazon, and this one certainly fits in with the rest. Like Euclid's Elements, it has a timeless appeal even as mathematics advances. And, judging by the table of contents, it goes well beyond a mere "introduction" to number theory, like H. S. M. Coxeter's "Introduction to Geometry." ... Read more

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This book an EXACT reproduction of the original book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone! ... Read more

Product Description
This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone! ... Read more