注记
^ Jourdain
^ Eves
^ Peterson
^ 牛津英语词源词典
^ 牛津英语词典
^ 《周礼·地官司徒·保氏》:“保氏掌谏王恶而养国子以道。乃教之六艺:一曰五礼,二曰六乐,三曰五射,四曰五驭,五曰六书,六曰九数。”东汉的郑玄在他的《周礼注疏·地官司徒·保氏》中引郑司农(郑众)所言:“九数:方田、粟米、差分、少广、商功、均输、方程、赢不足、旁要,今有重差、夕桀、勾股也。”
^ Sevryuk
^ 不同数学符号的各别最早用途 (包含有更多的参考资料)
^ 参见无效证明来看什么要在正式的证明中出错的一些简单例子。四色定理的历史中则有个被亦其他数学家所接受的错误证明。
^ Waltershausen
^ 爱因斯坦,第28页。爱因斯坦对问题的解答叙述:”how can it be that mathematics, being after all a product of human thought which is independent of experience, is so admirably appropriate to the objects of reality?” 他亦关心数学在自然科学中不可想像的有效性.
^ 波普尔 1995, p. 56
^ Ziman
^ “菲尔兹奖毫无疑问地是现今数学最有名且最有影响力的奖项。”Monastyrsky说。
^ Riehm
^ 克雷数学研究所 P=NP
^ P=NP的民调显示2005年大众相信它并不相等。(看section 5)
参考书目
Benson, Donald C., The Moment of Proof: Mathematical Epiphanies, Oxford University Press, USA; New Ed edition (December 14, 2000). ISBN 0-19-513919-4.
Boyer, Carl B., A History of Mathematics, Wiley; 2 edition (March 6, 1991). ISBN 0-471-54397-7. — A concise history of mathematics from the Concept of Number to contemporary Mathematics.
Courant, R. and H. Robbins, What Is Mathematics? : An Elementary Approach to Ideas and Methods, Oxford University Press, USA; 2 edition (July 18, 1996). ISBN 0-19-510519-2.
Davis, Philip J. and Hersh, Reuben, The Mathematical Experience. Mariner Books; Reprint edition (January 14, 1999). ISBN 0-395-92968-7.— A gentle introduction to the world of mathematics.
爱因斯坦, 阿尔伯特 (1923). “Sidelights on Relativity (Geometry and Experience)”. P. Dutton., Co.
Eves, Howard, An Introduction to the History of Mathematics, Sixth Edition, Saunders, 1990, ISBN 0030295580.
Gullberg, Jan, Mathematics—From the Birth of Numbers. W. W. Norton & Company; 1st edition (October 1997). ISBN 0-393-04002-X. — An encyclopedic overview of mathematics presented in clear, simple language.
Hazewinkel, Michiel (ed.), 数学百科全书. Kluwer Academic Publishers 2000. — A translated and expanded version of a Soviet mathematics encyclopedia, in ten (expensive) volumes, the most complete and authoritative work available. Also in paperback and on CD-ROM, and online [1].
Jourdain, Philip E. B., The Nature of Mathematics, in The World of Mathematics, James R. Newman, editor, Dover, 2003, ISBN 0486432688.
Kline, Morris, Mathematical Thought from Ancient to Modern Times, Oxford University Press, USA; Paperback edition (March 1, 1990). ISBN 0-19-506135-7.
Monastyrsky, Michael (2001). “Some Trends in Modern Mathematics and the Fields Medal”. Canadian Mathematical Society. Retrieved on 2006-07-28.
牛津英语词典, second edition, ed. John Simpson and Edmund Weiner, Clarendon Press, 1989, ISBN 0-19-861186-2.
The Oxford Dictionary of English Etymology, 1983 reprint. ISBN 0-19-861112-9.
Pappas, Theoni, The Joy Of Mathematics, Wide World Publishing; Revised edition (June 1989). ISBN 0-933174-65-9.
Peterson, Ivars, Mathematical Tourist, New and Updated Snapshots of Modern Mathematics, Owl Books, 2001, ISBN 0805071598.
Paulos, John Allen (1996). A Mathematician Reads the Newspaper. Anchor. ISBN 0-385-48254-X.
波普尔, 卡尔(1995).“On knowledge”,In Search of a Better World: Lectures and Essays from Thirty Years.Routeledge.ISBN 0415135486.
Riehm, Carl (August 2002). “The Early History of the Fields Medal”. Notices of the AMS 49 (7): 778-782. AMS.
Sevryuk, Mikhail B. (January 2006). “Book Reviews” (PDF). Bulletin of the American Mathematical Society 43 (1): 101-109. Retrieved on 2006-06-24.
Waltershausen, Wolfgang Sartorius von (1856, repr. 1965). Gauss zum Gedächtniss. Sändig Reprint Verlag H. R. Wohlwend. ISBN 3-253-01702-8.
Ziman, J.M., F.R.S. (1968). “Public Knowledge:An essay concerning the social dimension of science”.
参考网址
Rusin, Dave: The Mathematical Atlas(英文版)现代数学漫游。
Weisstein, Eric: World of Mathematics,一个在线的数学百科全书。
Planet Math,另一个在线的数学百科全书,使用GFDL,允许和维基百科交换条目。
MathForge,一个包含数学、物理、计算机科学和教育等范畴的新闻网志。
EpisteMath|数学知识。
香港科技大学:数学网,一个以数学史为主的网站。
怎样研习纯数学(或统计学):本科与基础研究课程参考书目。