…that, given enough time and effort, a broader context emerges in your mind. Dig until you get tired or bored - because you could really keep digging forever. If you ever feel lost, read the masters - Euler and Dirichlet are two favorites. Here is a great book: https://www.amazon.com/Euler-Master-Dolciani-Mathematical-Ex... If you get tired of that, read about the greats. MacTutor has a great archive. I…
“读欧拉吧，读欧拉吧，他是我们所有人的导师。”——皮埃尔-西蒙·拉普拉斯。说真的，William Dunham 写的《欧拉：我们所有人的导师》（Euler: The Master of Us All）正是我数学开窍的启蒙之作。历史与叙事结合得恰到好处……
"Read Euler, read Euler, he is the master of us all." - Pierre-Simon Laplace Seriously though, 'Euler: The Master of Us All' by William Dunham was the book that got it going for me. Good mix of history, narrative…
……物理学家用到的数学分支其实一只手就能数得过来。要想回到数学和物理尚未分道扬镳的时代，你大概得回到欧拉甚至是牛顿的时代。如果你读过 William Dunham 的那本名作《微积分画卷》（The Calculus Gallery），在第一章里，你就会看到关于牛顿在二项式级数上所做的非常基础性工作的讨论——这正是……
…number of branches used by physicists can more or less be counted on one hand. In order to go back to a time when mathematics and physics had not yet diverged, you probably have to return to the days of Euler, or even Newton. If you read William Dunham's excellent book, "The Calculus Gallery", in the very first chapter, you will find a discussion of Newton's very basic work on binomial series--something that…
William Dunham 有两本书非常棒：1- 《欧拉》（我们所有人的导师） 2- 《天才引导的历程》。还有 John Stillwell 的《数学及其历史》，以及 Needham 的《复分析：可视化方法》。
William Dunham has two books which are great: 1- Euler (The Master of us all) 2- Journey Through Genius. John Stillwell’s Mathematics and Its History. Needham’s Visual Complex Analysis.
……提到过）牛顿 -> 《永不止步》（Never at rest），Richard Westfall（前面提到了）伽利略 -> 《伽利略传》，John Heilbron 奥本海默 -> 《奥本海默传》（Inside the centre），Ray Monk 著；更偏技术的有：A. Pais 的《奥本海默的一生》（Robert Oppenheimer, a life）欧拉 -> 《欧拉：我们所有人的导师》，William Dunham（这不太算传记，更像是一本精编论集，依然很推荐）阿基米德 -> 《阿基米德》，E.J Dijksterhuis（和这份书单里的很多书一样，这本被认为是……
…mentioned) Newton -> Never at rest, Richard Westfall (Already mentioned) Galileo -> Galileo, John Heilbron Oppenheimer -> Inside the centre (Ray Monk), more technical: "Robert Oppenheimer, a life" A. Pais Euler -> Euler: The Master of Us All, William Dunham (This is less a biography more like a compedium, still recommended) Archimedes -> Archimedes, E.J Dijksterhuis(As many on this list, this is considered…
…Imaginary History of Algebra (John Derbyshire, 2007) 5. Journey through Genius: The Great Theorems of Mathematics (William Dunham, 1991) 6. Riemann’s Zeta Function (H. M. Edwards, 1971) 7. Gamma: Exploring Euler’s Constant (Julian Havil, 2009) 8. The Man Who Loved Only Numbers (Paul Hoffman, 1999) 9. The Riemann Zeta-Function: Theory and Applications. (Alexander Ivic, 2004) 10. e: The Story of a Number (Eli…
……只要投入足够的时间和精力，你脑海中就会浮现出一个更宏大的脉络背景。深挖下去，直到你觉得累了或者腻了为止——因为你真的一辈子都挖不完。如果你哪天感到迷茫了，去读大师的原作吧——欧拉和狄利克雷是我的两大心头好。这里有本好书：https://www.amazon.com/Euler-Master-Dolciani-Mathematical-Ex... 要是这都读腻了，就去读读那些巨匠的传记。MacTutor 上有非常棒的档案资料。我……
…that, given enough time and effort, a broader context emerges in your mind. Dig until you get tired or bored - because you could really keep digging forever. If you ever feel lost, read the masters - Euler and Dirichlet are two favorites. Here is a great book: https://www.amazon.com/Euler-Master-Dolciani-Mathematical-Ex... If you get tired of that, read about the greats. MacTutor has a great archive. I…
“读欧拉吧，读欧拉吧，他是我们所有人的导师。”——皮埃尔-西蒙·拉普拉斯。说真的，William Dunham 写的《欧拉：我们所有人的导师》（Euler: The Master of Us All）正是我数学开窍的启蒙之作。历史与叙事结合得恰到好处……
"Read Euler, read Euler, he is the master of us all." - Pierre-Simon Laplace Seriously though, 'Euler: The Master of Us All' by William Dunham was the book that got it going for me. Good mix of history, narrative…
……物理学家用到的数学分支其实一只手就能数得过来。要想回到数学和物理尚未分道扬镳的时代，你大概得回到欧拉甚至是牛顿的时代。如果你读过 William Dunham 的那本名作《微积分画卷》（The Calculus Gallery），在第一章里，你就会看到关于牛顿在二项式级数上所做的非常基础性工作的讨论——这正是……
…number of branches used by physicists can more or less be counted on one hand. In order to go back to a time when mathematics and physics had not yet diverged, you probably have to return to the days of Euler, or even Newton. If you read William Dunham's excellent book, "The Calculus Gallery", in the very first chapter, you will find a discussion of Newton's very basic work on binomial series--something that…
William Dunham 有两本书非常棒：1- 《欧拉》（我们所有人的导师） 2- 《天才引导的历程》。还有 John Stillwell 的《数学及其历史》，以及 Needham 的《复分析：可视化方法》。
William Dunham has two books which are great: 1- Euler (The Master of us all) 2- Journey Through Genius. John Stillwell’s Mathematics and Its History. Needham’s Visual Complex Analysis.
……提到过）牛顿 -> 《永不止步》（Never at rest），Richard Westfall（前面提到了）伽利略 -> 《伽利略传》，John Heilbron 奥本海默 -> 《奥本海默传》（Inside the centre），Ray Monk 著；更偏技术的有：A. Pais 的《奥本海默的一生》（Robert Oppenheimer, a life）欧拉 -> 《欧拉：我们所有人的导师》，William Dunham（这不太算传记，更像是一本精编论集，依然很推荐）阿基米德 -> 《阿基米德》，E.J Dijksterhuis（和这份书单里的很多书一样，这本被认为是……
…mentioned) Newton -> Never at rest, Richard Westfall (Already mentioned) Galileo -> Galileo, John Heilbron Oppenheimer -> Inside the centre (Ray Monk), more technical: "Robert Oppenheimer, a life" A. Pais Euler -> Euler: The Master of Us All, William Dunham (This is less a biography more like a compedium, still recommended) Archimedes -> Archimedes, E.J Dijksterhuis(As many on this list, this is considered…
……虚数的代数史》（John Derbyshire, 2007）5. 《天才引导的历程：数学的伟大定理》（William Dunham, 1991）6. 《黎曼 Zeta 函数》（H. M. Edwards, 1971）7. 《伽马：探索欧拉常数》（Julian Havil, 2009）8. 《只爱数字的人》（Paul Hoffman, 1999）9. 《黎曼 Zeta 函数：理论与应用》（Alexander Ivic, 2004）10. 《e 的故事》（Eli…
…Imaginary History of Algebra (John Derbyshire, 2007) 5. Journey through Genius: The Great Theorems of Mathematics (William Dunham, 1991) 6. Riemann’s Zeta Function (H. M. Edwards, 1971) 7. Gamma: Exploring Euler’s Constant (Julian Havil, 2009) 8. The Man Who Loved Only Numbers (Paul Hoffman, 1999) 9. The Riemann Zeta-Function: Theory and Applications. (Alexander Ivic, 2004) 10. e: The Story of a Number (Eli…