《代数难题集》封面

代数难题集

Challenging problems in algebra

Alfred S. Posamentier · 初版 1988 年

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  • ……其他资源:* Gelfand(等人)的高中数学书系列:《坐标系》(System of Coordinates)、《函数与图像》(Functions And Graphs)、《代数》(Algebra)、《几何》(Geometry)、《三角学》(Trigonometry)* 题集《几何中的挑战性问题》(Challenging Problems in Geometry)和《代数中的挑战性问题》(Challenging Problems in Algebra),Dover 出版社有售 * Brilliant.org 上的数学与逻辑课程 * Smullyan 的《逻辑学导论》(Introduction to Logic)* Balakrishnan 的《离散数学导论》(Introduction to Discrete Mathematics)* 想要来点提神醒脑、离经叛道的“跳过……

    …other resources: * Gelfand (et al.)'s HS math book series: System of Coordinates, Functions And Graphs, Algebra, Geometry, Trigonometry * The problem collections Challenging Problems in Geometry and Challenging Problems in Algebra, available from Dover * The math and logic courses on Brilliant.org * Smullyan's Introduction to Logic * Balakrishnan's Introduction to Discrete Mathematics * For a bracingly irreverent "skip the…

  • ……尼克·霍恩比(Nick Hornby),弗朗茨·卡夫卡(Franz Kafka)的《日记》(Diaries),乔纳森·勒瑟姆(Jonathan Lethem)的《另一种紧张》(A Different Kind of Tension),W·萨默塞特·毛姆(W. Somerset Maugham)的《作家笔记》(A Writer’s Notebook),布莱恩·摩尔(Brian Moore)的《魔术师的妻子》(The Magician’s Wife),迈克尔·D·奥布赖恩(Michael D. O’Brien)的《以利亚神父》(Father Elijah),波萨门蒂尔/萨尔金德(Posamentier/Salkind)的《代数中的挑战性问题》(Challenging Problems in Algebra),阿隆索·雷耶斯(Alonso Reyes)的《故事集》(Cuentos),安贾莉·萨切德瓦(Anjali Sachdeva)的《他们用来称呼上帝的所有名字》(All the Names They Used for God),特雷塞·斯沃博达(Terese Svoboda)的《大美洲荒漠》(Great American Desert),珍妮·瓦纳斯科(Jeanine Vanasco)的《冷处理》(A Silent Treatment)以及《作家笔记》:……

    …Nick Hornby, Diaries by Franz Kafka, A Different Kind of Tension by Jonathan Lethem, A Writer’s Notebook by W. Somerset Maugham, The Magician’s Wife by Brian Moore, Father Elijah by Michael D. O’Brien, Challenging Problems in Algebra by Posamentier/Salkind, Cuentos by Alonso Reyes, All the Names They Used for God by Anjali Sachdeva, Great American Desert by Terese Svoboda, A Silent Treatment by Jeanine Vanasco and The Writer’s Notebook:…

  • ……备考方面,有一些专门做奥数的网站,上面有免费公开的题集(带完整解答)。随便说几个:《匈牙利竞赛题集》(Hungarian Problem Books)、《解题策略》(Problem-Solving Strategies)、《代数中的挑战性问题》(Challenging Problems in Algebra)、前美国 IMO 教练 Titu Andreescu 写的书——他出了大量关于数学和奥数备考的书、http://www.cut-the-knot.org/

    …preparation, there are websites completely devoted to Olympiads, there are freely available problems sets (with complete solutions). To name the few: Hungarian Problem Books, Problem-Solving Strategies, Challenging Problems in Algebra, books by Titu Andreescu - a former US IMO coach, who published a lot of books on math and IMO prep, http://www.cut-the-knot.org/

  • 感谢你的建议。我买了《代数中的挑战性问题》以及一本 Titu Andreescu 的教材。看了看奥数里的那些题目,感觉确实会很有帮助,而且做起来更有意思。

    Thank you for your suggestions. I purchased Challenging Problems in Algebra and a text book by Titu Andreescu. Looking at the kinds of problems in Olympiad, it seems like they'd actually be helpful and more fun to solve.

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