为什么印度的喀拉拉学派早于欧洲发现π的级数？
Why did India's Kerala school discover pi series before Europe?
14世纪喀拉拉学派的Madhava给出π/4=1-1/3+1/5-…（格雷戈里-莱布尼茨级数的前身）以及三角函数无穷级数，比欧洲早约两百年，源于对天文计算的追求。
In the 14th century, Madhava of the Kerala school gave pi/4 = 1 - 1/3 + 1/5 - ..., a forerunner of the Gregory-Leibniz series, and infinite series for trig functions, about two centuries before Europe, driven by astronomy.
难度 专业 · 适合 大众
CC BY 4.0 · 已核验 · Verified 2026-11-02
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《数学史》Boyer 与 Merzbach
A History of Mathematics by Boyer and Merzbach
独立核验依据 · Independent verification: 核验依据 1 ISBN 9787511704443（豆瓣书目条目: 数学史）
#喀拉拉学派 #级数
日本的和算是什么？它有什么独特之处？
What is wasan (Japanese mathematics) and what is special about it?
和算是日本江户时代在本土发展出的数学，深受中国数学影响，以算额为特色：把数学题写在木板上挂在神社寺庙供人挑战，常用傍书法解几何题。
Wasan is mathematics developed in Edo-period Japan under Chinese influence; its hallmark is the sangaku tablets hung in shrines with geometry problems, often solved by a side-notation method.
难度 进阶 · 适合 初中(12-15)
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出处备注：本题原挂出处与答案内容不符，已撤回；具体书目待补，暂不展示来源。
本题原挂出处与答案内容不符，已撤回；具体书目待补。
Previous citation withdrawn as unsupported for this answer; a specific source is pending.
#和算 #日本
婆罗摩笈多为什么重要？
Why is Brahmagupta important?
7世纪印度数学家婆罗摩笈多首次给出0的运算法则和二次方程求根公式，并系统研究了负数，深刻影响了后世代数。
In the 7th century, Brahmagupta gave the first rules for operating with zero, the quadratic formula, and a systematic treatment of negative numbers, shaping later algebra.
难度 进阶 · 适合 大众
CC BY 4.0 · 已核验 · Verified 2026-11-02
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《数学史》Boyer 与 Merzbach
A History of Mathematics by Boyer and Merzbach
独立核验依据 · Independent verification: 核验依据 1 ISBN 9787511704443（豆瓣书目条目: 数学史）
#婆罗摩笈多 #代数
花拉子米为什么被称为代数之父？
Why is al-Khwarizmi called the father of algebra?
他写的《还原与对消》提出al-jabr（还原）思想，书名演化为algebra（代数），系统求解一次与二次方程，把解题变成通用方法。
His book on restoration and balancing introduced al-jabr, the root of the word algebra, and systematically solved linear and quadratic equations as general methods.
难度 进阶 · 适合 大众
CC BY 4.0 · 来源待核验 · Source pending review
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出处备注：著录仅给书名，无版次与年份；同一书名常对应多个版次，不臆测具体版本。
花拉子米《代数学》
al-Kitab al-mukhtasar
#花拉子米 #代数
朝鲜半岛的数学受哪些影响，有什么特色？
What influenced Korean mathematics and what are its features?
朝鲜数学主要受中国《算学启蒙》《杨辉算法》影响，并发展出本国算书如《九一集》，重视实用算术与算板训练，注重教育普及。
Korean mathematics absorbed Chinese works like the Mathematical Primer and Yang Hui's methods, producing native texts such as the Gu-il-jip, emphasizing practical arithmetic, calculating boards, and educational spread.
难度 进阶 · 适合 大众
CC BY 4.0 · 来源待核验 · Source pending review
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出处备注：本题原挂出处与答案内容不符，已撤回；具体书目待补，暂不展示来源。
本题原挂出处与答案内容不符，已撤回；具体书目待补。
Previous citation withdrawn as unsupported for this answer; a specific source is pending.
#朝鲜数学 #算学
幻方（洛书）最早出现在哪里？
Where did magic squares (the Luoshu) first appear?
洛书九宫格是中国上古传说中的三阶幻方，每行每列和两条对角线数字和都等于15，后来经印度、阿拉伯传入欧洲，并与占星、装饰艺术结合。
The Luoshu is a Chinese 3x3 magic square where every row, column and diagonal sums to 15; it later spread via India and Arabia to Europe, blending with astrology and ornament.
难度 入门 · 适合 小学低段(6-8)
CC BY 4.0 · 来源待核验 · Source pending review
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出处备注：本题原挂出处与答案内容不符，已撤回；具体书目待补，暂不展示来源。
本题原挂出处与答案内容不符，已撤回；具体书目待补。
Previous citation withdrawn as unsupported for this answer; a specific source is pending.
#幻方 #洛书
阿拉伯数字其实是印度人发明的吗？
Were Arabic numerals actually invented by Indians?
是的，0到9的十进制位值制记数法由古印度人发明（包含0的概念），经阿拉伯学者如花拉子米传入欧洲，所以被称为阿拉伯数字。
Yes: the decimal place-value system 0-9 was invented in ancient India (including the concept of zero) and transmitted to Europe via Arab scholars such as al-Khwarizmi, hence the name Arabic numerals.
难度 入门 · 适合 小学低段(6-8)
CC BY 4.0 · 已核验 · Verified 2026-08-23 · 2 条独立证据
来源 · Source
Morris Kline,《Mathematical Thought from Ancient to Modern Times》Oxford University Press,1972;中译《古今数学思想》上海科学技术出版社
M. Kline, Mathematical Thought from Ancient to Modern Times, Oxford University Press, 1972; Chinese ed. Shanghai Scientific & Technical Publishers
独立核验依据 · Independent verification: 核验依据 2 OPENLIBRARY 标识 /works/OL1947921W：Mathematical Thought fr
#阿拉伯数字 #印度
印度的零概念为什么是数学史上的大突破？
Why was India's concept of zero a breakthrough in math history?
印度人（约5到6世纪）首次把0当作可以参与运算的数，而不只是空位，使进位制和代数成为可能，是现代记数与计算的基石。
Around the 5th-6th centuries, Indians first treated zero as a number that could be operated on, not merely a placeholder, enabling place-value notation and algebra, the foundation of modern calculation.
难度 入门 · 适合 小学高段(9-12)
CC BY 4.0 · 已核验 · Verified 2026-11-02
来源 · Source
《数学史》Boyer 与 Merzbach
A History of Mathematics by Boyer and Merzbach
独立核验依据 · Independent verification: 核验依据 1 ISBN 9787511704443（豆瓣书目条目: 数学史）
#零 #印度