Sò͘-ha̍k
數學的歷史 [edit]
數學的
毋過欲算
數學的發展佮測量土地,處理會計,預測天文事件有
純數學佮應用數學[edit]
有oh解決的
有問題欲解決,研究
數學
數學符號 [edit]
數學的
數學家真
數學佮科學[edit]
Carl Friedrich Gauss講數學是科學的
數學研究的範圍 [edit]
數學主要 的研究[edit]
數量 (Quantity)[edit]
咧處理數目,
解析失敗 (Chīn-liōng iōng MathML (chhì-giām-sèng--ê):從伺服器 "https://wikimedia.org/api/rest_v1/" 收到無效的回應 ("Math extension cannot connect to Restbase.")。): {\displaystyle 1, 2, \ldots} 解析失敗 (Chīn-liōng iōng MathML (chhì-giām-sèng--ê):從伺服器 "https://wikimedia.org/api/rest_v1/" 收到無效的回應 ("Math extension cannot connect to Restbase.")。): {\displaystyle 0, 1, -1, \ldots} 解析失敗 (Chīn-liōng iōng MathML (chhì-giām-sèng--ê):從伺服器 "https://wikimedia.org/api/rest_v1/" 收到無效的回應 ("Math extension cannot connect to Restbase.")。): {\displaystyle \frac{1}{2}, \frac{2}{3}, 0.125,\ldots} 解析失敗 (語法錯誤): {\displaystyle \{{ruby|啡|pi}}, e, \sqrt{2},\ldots} 解析失敗 (語法錯誤): {\displaystyle 伊, 3i+2, e^{伊\啡/3},\ldots} 自然數 整數 比數 實數 複雜數 )
- 數目 – 自然數 – 整數 – 比數 – 實數 – 複雜數 – Hypercomplex numbers – Quaternions – Octonions – Sedenions – Hyperreal numbers – Surreal numbers – Ordinal numbers – Cardinal numbers – p-adic numbers – Integer sequences – 數學
定訴 – Number names –無限 –居底 (Base)]]
變動 (Change)[edit]
算數 (Arithmetic) 微積分 向量 微積分分析 (Analysis) 微分 方程 (Differential equations)動態 系統 (Dynamical systems)混沌 理論 (Chaos theory)
- 算數 (Arithmetic) – 微積分 – 向量微積分 – 分析 (Analysis) – 微分方程 (Differential equations) – 動態系統 (Dynamical systems) – 混沌理論 (Chaos theory) – 函數列單
結構 (Structure)[edit]
咧處理大細 (size),對thīn (symmetry) 佮一寡數學結構 (mathematical structure) 的問題。
抽象代數 數論 群論 (Group theory)Topology Category theory Order theory
- 抽象代數 – 數論 – 代數幾何學 – 群論 (Group theory) – Monoids – 分析 (Analysis) – Topology –
線性 代數 (Linear algebra) –圖論 (Graph theory) – Universal代數 (Universal algebra) – Category theory – Order theory – Measure theory
空間關係 (Spatial relations)[edit]
會當看的數學。
- Topology – 幾何學 – 三角發 – 代數幾何學 – 微分幾何學 – 微分topology (Differential topology) – 代數topology (Algebraic topology) – 線性代數 – 碎形幾何學 (Fractal geometry)
離散 數學 (Discrete mathematics)[edit]
咧處理干焦會當1个1个算的
Combinatorics Native 集合論 (Naive set theory)計算理論 (Theory of computation) 密碼學 (Cryptography)圖論 (Graph theory)
- Combinatorics – Native集合論 (Naive set theory) – 計算理論 (Theory of computation) – 密碼學 (Cryptography) – 圖論 (Graph theory)
應用數學 (Applied mathematics)[edit]
咧解決
- 數學物理學 (Mathematical physics) – Mechanics – Fluid mechanics – Numerical analysis – Optimization –
機率 –統計學 – Financial mathematics – Game theory – Mathematical biology – 密碼學 (Cryptography) –資訊 理論 (Information theory)
定理 (Theorems)[edit]
這
直覺 定理 (Pythagorean theorem) – Fermat最後 定理 (Fermat's last theorem) – Gödel's incompleteness theorems – Cantor's diagonal argument – 4色 定理 (Four color theorem) – Zorn's lemma – Euler's identity – Church-Turing thesis– Riemann hypothesis – Continuum hypothesis – Central limit theorem – 算數基本 定理 (Fundamental theorem of arithmetic) – 代數基本定理 (Fundamental theorem of algebra) – 微積分基本定理 (Fundamental theorem of calculus) – Fundamental theorem of projective geometry – Gauss-Bonnet theorem。
猜測 (Conjectures)[edit]
這列一寡
- Goldbach猜測 – Twin prime conjecture – Collatz conjecture – Poincaré conjecture – classification theorems of surfaces – P=NP
基層 佮方法 (Foundations and methods)[edit]
咧
- Philosophy of mathematics – Mathematical intuitionism – Mathematical constructivism – 數學的基層 (Foundations of mathematics) – 集合論 – 符號邏chek (Symbolic logic) –
模型論 (Model theory) – Category theory – 邏chek – Reverse Mathematics – 數學符號表 (Table of mathematical symbols)
數學史 合數學家[edit]
請參考數學史列單
- 數學史 – 數學
年表 – 數學家 – Fields獎 – Abel Prize – Millennium Prize Problems (Clay Math Prize) – International Mathematical Union – Mathematics competitions – Lateral thinking – Mathematical abilities and gender issues
數學的雲影 [edit]
對數學的誤解 [edit]
數學
參考[edit]
- 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
都 the world of mathematics。 - Eves,Howard,An Introduction都the History of Mathematics, Sixth Edition, Saunders, 1990, ISBN 0-03-029558-0。
- 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。
expanded version of a Soviet mathematics encyclopedia,怹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,怹The World of Mathematics, James R。 Newman, editor, Dover, 2003, ISBN 0-486-43268-8。
- 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" (PDF). Canadian Mathematical Society. 2006-07-28 khòaⁿ--ê.
- 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 0-8050-7159-8。
- Pang-bô͘:Cite book en
- Pang-bô͘:Cite journal en
- Pang-bô͘:Cite journal en
- Pang-bô͘:Cite book en
- Ziman, J.M., F.R.S. (1968). "Public Knowledge:An essay concerning the social dimension of science".
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