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英国牛津大学数学专业推荐阅读书单

国外大学数学专业有什么推荐读物?牛津大学在其网站给出了数学专业的推荐阅读,能够帮助大家了解这个专业和数学的发展。

Bridging Material

Alcock, Lara How to Study for a Mathematics Degree (2012)

Allenby, Reg Numbers and Proofs (1997)

Earl, Richard Towards Higher Mathematics: A Companion (2017)

Houston, Kevin How to Think Like a Mathematician (2009)

Liebeck, Martin A Concise Introduction to Pure Mathematics (2000)

Popular Mathematics

Acheson, David 1089 and All That (2002), The Calculus Story (2017)

Bellos, Alex Alex’s Adventures in Numberland (2010)

Clegg, Brian A Brief History of Infinity (2003)

Courant, Robbins and Stewart What is Mathematics? (1996)

Devlin, Keith Mathematics: The New Golden Age (1998), The Millennium Problems (2004), The Unfinished Game (2008)

Dudley, Underwood Is Mathematics Inevitable? A Miscellany (2008)

Elwes, Richard MATHS 1001 (2010), Maths in 100 Key Breakthroughs (2013)

Gardiner, Martin The Colossal Book of Mathematics (2001)

Gowers, Tim Mathematics: A Very Short Introduction (2002)

Hofstadter, Douglas Gödel, Escher, Bach: an Eternal Golden Braid (1979)

Körner, T. W. The Pleasures of Counting (1996)

Neale, Vicky Closing the Gap: the quest to understand prime numbers (2017)

Odifreddi, Piergiorgio The Mathematical Century: The 30 Greatest Problems of the Last 100 Years (2004)

Piper, Fred & Murphy, Sean Cryptography: A Very Short Introduction (2002)

Polya, George How to Solve It (1945)

Sewell, Michael (ed.) Mathematics Masterclasses: Stretching the Imagination (1997)

Singh, Simon The Code Book (2000), Fermat’s Last Theorem (1998)

Stewart, Ian Letters to a Young Mathematician (2006), 17 Equations That Changed The World (2012)

History and Biography

Burton, David The History of Mathematics (2007)

Derbyshire, John Unknown Quantity – A Real and Imaginary History of Algebra (2006)

Goldstein, Rebecca Incompleteness – The Proof and Paradox of Kurt Gödel (2005)

Gray, Jeremy Hilbert’s Challenge (2000)

Hellman, Hal Great Feuds in Mathematics (2006)

Hodgkin, Luke A History of Mathematics – From Mesopotamia to Modernity (2005)

Hodges, Andrew Alan Turing: The Enigma (1992)

Stedall, Jacqueline The History of Mathematics: A Very Short Introduction (2012)

Pesic, Peter Abel’s Proof (2004)

Reid, Constance Julia: A Life in Mathematics (1996)

Stillwell, John Mathematics and Its History (2002)

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