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牛津大学同时还给我们列出了如下阅读书单。有些是技术性书籍,旨在缩小A-level和大学数学之间的差距,帮助你在夏季填补这些差距;还有一些旨在普及数学思想、某个专题或定理的历史,或者是伟大数学家的传记,这些可以让你了解数学是如何被发现的,以及大学将会涉及到哪些专题。
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 G?del, Escher, Bach: an Eternal Golden Braid (1979)
K?rner, 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 G?del (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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