That's a really good point. And it reminds me that there is a really cool book titled How Mathematicians Think[1] that goes into much detail about how mathematics is a creative activity and not just a mechanical process (as some people seem to believe.) [1]: http://www.amazon.com/How-Mathematicians-Think-Contradiction...
……萨宾·霍森费尔德（Sabine Hosenfelder）那本作为“反调”的书，《迷失在数学中》（Lost in Math）[2]。我觉得这两本书相辅相成。接下来我脑海中冒出的少数几本（并非有意双关）书会是：- 威廉·拜尔斯的《数学家的思维方式》（How Mathematicians Think）[3] - 凯文·休斯顿的《怎样像数学家一样思考》（How to Think Like a Mathematician）[4] - 苏珊娜·埃普的《离散数学及其应用》（Discrete Mathematics with Applications）[5] - 乔丹·艾伦伯格的《魔鬼数学》（How Not To Be Wrong）[6] [1]: https://www.amazon.com/Universe-Speaks-Numbers-Reveals-Natur...…
…"counterpoint" book by Sabine Hosenfelder, Lost in Math[2]. I think these two books complement each other nicely. Then the handful of additional (no pun intended) books that jump to mind would be: - How Mathematicians Think by William Byers[3] - How to Think Like a Mathematician by Kevin Houston[4] - Discrete Mathematics with Applications[5] by Susanna Epp - How Not To Be Wrong[6] by Jordan Ellenberg [1]: https://www.amazon.com/Universe-Speaks-Numbers-Reveals-Natur...…
说得太有道理了。这让我想起有一本特别酷的书叫《数学家的思维方式》（How Mathematicians Think）[1]，书中详细阐述了数学是一项创造性活动，而不仅仅是某种机械的运算过程（就像有些人以为的那样）。[1]: http://www.amazon.com/How-Mathematicians-Think-Contradiction...
That's a really good point. And it reminds me that there is a really cool book titled How Mathematicians Think[1] that goes into much detail about how mathematics is a creative activity and not just a mechanical process (as some people seem to believe.) [1]: http://www.amazon.com/How-Mathematicians-Think-Contradiction...
我最近读过的另一本相关的但更轻松的书是威廉·拜尔斯（William Byers）写的《数学家的思维方式》（How Mathematicians Think）。
Something else I just read which is related but lighter is How Mathematicians Think by William Byers.
强烈向对这种思考方式感兴趣的朋友推荐这本书：威廉·P·拜尔斯的《数学家的思维方式》（How mathematicians think）
Highly recommend this book for anyone interested in this line of thinking: How mathematicians think William P. Byers
……萨宾·霍森费尔德（Sabine Hosenfelder）那本作为“反调”的书，《迷失在数学中》（Lost in Math）[2]。我觉得这两本书相辅相成。接下来我脑海中冒出的少数几本（并非有意双关）书会是：- 威廉·拜尔斯的《数学家的思维方式》（How Mathematicians Think）[3] - 凯文·休斯顿的《怎样像数学家一样思考》（How to Think Like a Mathematician）[4] - 苏珊娜·埃普的《离散数学及其应用》（Discrete Mathematics with Applications）[5] - 乔丹·艾伦伯格的《魔鬼数学》（How Not To Be Wrong）[6] [1]: https://www.amazon.com/Universe-Speaks-Numbers-Reveals-Natur...…
…"counterpoint" book by Sabine Hosenfelder, Lost in Math[2]. I think these two books complement each other nicely. Then the handful of additional (no pun intended) books that jump to mind would be: - How Mathematicians Think by William Byers[3] - How to Think Like a Mathematician by Kevin Houston[4] - Discrete Mathematics with Applications[5] by Susanna Epp - How Not To Be Wrong[6] by Jordan Ellenberg [1]: https://www.amazon.com/Universe-Speaks-Numbers-Reveals-Natur...…