问题是指一个需要求出解的练习。“数学问题”的范围可以从简单的谜题到考试和竞赛问题,再到需要深刻分析才能证明的主张。
虽然并非绝对标准,但希腊人区分了“问题”(大致是指各种图形的构造)和“定理 ”(确立所述图形的性质;Heath 1956,第 252、262 和 264 页)。
数学中存在许多未解决的问题 。最近已解决的两个著名问题包括费马最后定理 (由安德鲁·怀尔斯证明)和开普勒猜想 (由 T. C. 海尔斯证明)。在最突出的未解决问题中,有哥德巴赫猜想 、黎曼猜想 、关于存在无限多孪生素数 的猜想,以及更多。K.S. 布朗、D. 爱泼斯坦、S. 芬奇和 C. 金伯林维护了大量数学未解决问题的页面。
另请参阅 公理 、
推论 、
波里ズム 、
引理 、
公设 、
原理 、
证明 、
命题 、
重言式 、
定理 、
未解决的问题 在 MathWorld 课堂中探索此主题
使用 Wolfram|Alpha 探索
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New York: Pergamon Press, 1964. Sierpiński, W. Problems in Elementary Number Theory. New York: Elsevier, 1980. Smarandache, F. Only Problems, Not Solutions!, 4th ed. Phoenix, AZ: Xiquan, 1993. Steinhaus, H. One Hundred Problems in Elementary Mathematics. New York: Dover, 1979. Tietze, H. Famous Problems of Mathematics. New York: Graylock Press, 1965. Trigg, C. W. Mathematical Quickies: 270 Stimulating Problems with Solutions. New York: Dover, 1985. Ulam, S. M. A Collection of Mathematical Problems. New York: Interscience Publishers, 1960. Vakil, R. A Mathematical Mosaic: Patterns and Problem Solving. Washington, DC: Math. Assoc. Amer., 1997. van Mill, J. 和 Reed, G. M. (Eds.). Open Problems in Topology. New York: Elsevier, 1990. Weisstein, E. W. "Books about Mathematics Problems." http://www.ericweisstein.com/encyclopedias/books/MathematicsProblems.html . 在 Wolfram|Alpha 上引用 问题
请引用为
Weisstein, Eric W. "问题。" 来自 MathWorld --Wolfram Web 资源。 https://mathworld.net.cn/Problem.html
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