……知识：* 《How to Prove It》（Velleman）* 《Algebra》；《Trigonometry》；《F&G》；《The Method of Coordinates》（Gelfand）* 《Geometry》（Kiselev）* 《Calculus Made Easy》（Thompson）* 《How to Count without Counting》（Niven）* 《Introduction to Probability Theory》（Hoel）* 《The Little Schemer》（Friedman）接着进阶到更硬核的教材，比如：* 《Naive Set Theory》（Halmos）* 《Linear Algebra Done Right》（Axler）* 《Geometry Revisited》（Coxeter）* 《Infinitesimal Calculus》……
…knowledge: * How to Prove It (Velleman) * Algebra; Trigonometry; F&G; The Method of Coordinates (Gelfand) * Geometry (Kiselev) * Calculus Made Easy (Thompson) * How to Count without Counting (Niven) * Introduction to Probability Theory (Hoel) * The Little Schemer (Friedman) The proceed to more advanced texts like: * Naive Set Theory (Halmos) * Linear Algebra Done Right (Axler) * Geometry Revisited (Coxeter) * Infinitesimal Calculus…
……答案解析手册，我也建议一并搞到手，这样能确保你彻底弄懂每道题是怎么解的。1. Smith 和 Minton 的《Calculus》（第 4 版） 2. Gilbert Strang 的《Introduction to Linear Algebra》 3. Hoel, Port, Stone 的《Introduction to Probability Theory》 4. Rosen 的《Discrete Mathematics and its applications》 5. Hopcroft 的《Introduction to Automata Theory, Languages, and Computation》 6. Cormen, Leiserson 等人的《Introduction to Algorithms》……
…solutions manuals I would advise getting them as well so you can ensure you understand how every problem works. 1. Calculus 4th ed. by Smith and Minton 2. Introduction to Linear Algebra (Gilbert Strang) 3. Introduction to Probability Theory (Hoel, Port, Stone) 4. Discrete Mathematics and its applications (Rosen) 5. Introduction to Automata Theory, Languages, and Computation (Hopcroft) 6. Introduction to Algorithms (Cormen, Leiserson,…
……（不过要是没有的话，我会把《哈姆雷特》排在首位）集中在：这些回复里反复提到的斯多葛学派经典；《Reinventing the Sacred》；《孙子兵法》；《Descarte's Error》；Sam Harris 的《Free Will》；《Introduction to Probability Theory》
…(but if I weren't I would put Hamlet at the top) to focus: The stoic classics mentioned throughout these replies; Reinventing the Sacred; The Art of War; Descarte's Error; Free Will by Sam Harris Introduction to Probability Theory
……理论。真正严谨的概率论是用测度论（measure theoretic）来处理的，但即便你之前没接触过测度，你也需要先学好（实）分析和线性代数。先把这些啃下来。Feller 的《Introduction to Probability Theory》通常是很好的入门课程教材。要是看不惯，可以试试 Ross 的书。要是想学真正高深的概率论，那就去啃 Shiryaev 或 Kallenberg 的书。你问的其他东西范围有点不太明确……
…Theory A really rigorous treatment of probability is measure theoretic, but even if you haven't worked with measures before you'll need (real) analysis and linear algebra. Tackle those first. Feller's Introduction to Probability Theory is usually a good first course. If you don't like that, try Ross. For truly advanced probability theory, work through Shiryaev or Kallenberg. The other things you've asked for are a little under-specified…
Introduction to Probability Theory https://www.amazon.com/Introduction-Probability-2nd-Dimitri-... 线性代数 https://www.amazon.com/Introduction-Linear-Algebra-Gilbert-S... 凸优化（Convex Optimization） https://www.amazon.com/Convex-Optimization-Corrections-2008-...……
Introduction to Probability Theory https://www.amazon.com/Introduction-Probability-2nd-Dimitri-... Linear Algebra https://www.amazon.com/Introduction-Linear-Algebra-Gilbert-S... Convex Optimization https://www.amazon.com/Convex-Optimization-Corrections-2008-...…
……Exercises（AMS Chelsea 出版）。最经典的概率论著作是 Feller 的书（共 2 卷），但价格贵得离谱。此外还有 Sidney Resnick 的《Probability Path》和《Adventures in Stochastic Processes》。Grinstead & Snell 的《Introduction to Probability Theory》是免费的[2]，另外还有 Chung 写的《A Course in Probability Theory》（Academic Press/Elsevier 出版）。Dover 至少出版过三本关于反例和病态情形的好书：《Counterexamples in……
…Exercises (AMS Chelsea) The classic probability book is Feller (2 vol), but it's absurdly priced. There's also Sidney Resnick's Probability Path and Adventures in Stochastic Processes. Grinstead & Snell - Introduction to Probability Theory is free[2], and there's also Chung's A Course in Probability Theory (Academic Press/Elsevier). Dover publishes at least three good books on counterexamples and pathological cases: Counterexamples in…
……知识：* 《How to Prove It》（Velleman）* 《Algebra》；《Trigonometry》；《F&G》；《The Method of Coordinates》（Gelfand）* 《Geometry》（Kiselev）* 《Calculus Made Easy》（Thompson）* 《How to Count without Counting》（Niven）* 《Introduction to Probability Theory》（Hoel）* 《The Little Schemer》（Friedman）接着进阶到更硬核的教材，比如：* 《Naive Set Theory》（Halmos）* 《Linear Algebra Done Right》（Axler）* 《Geometry Revisited》（Coxeter）* 《Infinitesimal Calculus》……
…knowledge: * How to Prove It (Velleman) * Algebra; Trigonometry; F&G; The Method of Coordinates (Gelfand) * Geometry (Kiselev) * Calculus Made Easy (Thompson) * How to Count without Counting (Niven) * Introduction to Probability Theory (Hoel) * The Little Schemer (Friedman) The proceed to more advanced texts like: * Naive Set Theory (Halmos) * Linear Algebra Done Right (Axler) * Geometry Revisited (Coxeter) * Infinitesimal Calculus…
……答案解析手册，我也建议一并搞到手，这样能确保你彻底弄懂每道题是怎么解的。1. Smith 和 Minton 的《Calculus》（第 4 版） 2. Gilbert Strang 的《Introduction to Linear Algebra》 3. Hoel, Port, Stone 的《Introduction to Probability Theory》 4. Rosen 的《Discrete Mathematics and its applications》 5. Hopcroft 的《Introduction to Automata Theory, Languages, and Computation》 6. Cormen, Leiserson 等人的《Introduction to Algorithms》……
…solutions manuals I would advise getting them as well so you can ensure you understand how every problem works. 1. Calculus 4th ed. by Smith and Minton 2. Introduction to Linear Algebra (Gilbert Strang) 3. Introduction to Probability Theory (Hoel, Port, Stone) 4. Discrete Mathematics and its applications (Rosen) 5. Introduction to Automata Theory, Languages, and Computation (Hopcroft) 6. Introduction to Algorithms (Cormen, Leiserson,…
……（不过要是没有的话，我会把《哈姆雷特》排在首位）集中在：这些回复里反复提到的斯多葛学派经典；《Reinventing the Sacred》；《孙子兵法》；《Descarte's Error》；Sam Harris 的《Free Will》；《Introduction to Probability Theory》
…(but if I weren't I would put Hamlet at the top) to focus: The stoic classics mentioned throughout these replies; Reinventing the Sacred; The Art of War; Descarte's Error; Free Will by Sam Harris Introduction to Probability Theory
……理论。真正严谨的概率论是用测度论（measure theoretic）来处理的，但即便你之前没接触过测度，你也需要先学好（实）分析和线性代数。先把这些啃下来。Feller 的《Introduction to Probability Theory》通常是很好的入门课程教材。要是看不惯，可以试试 Ross 的书。要是想学真正高深的概率论，那就去啃 Shiryaev 或 Kallenberg 的书。你问的其他东西范围有点不太明确……
…Theory A really rigorous treatment of probability is measure theoretic, but even if you haven't worked with measures before you'll need (real) analysis and linear algebra. Tackle those first. Feller's Introduction to Probability Theory is usually a good first course. If you don't like that, try Ross. For truly advanced probability theory, work through Shiryaev or Kallenberg. The other things you've asked for are a little under-specified…
Introduction to Probability Theory https://www.amazon.com/Introduction-Probability-2nd-Dimitri-... 线性代数 https://www.amazon.com/Introduction-Linear-Algebra-Gilbert-S... 凸优化（Convex Optimization） https://www.amazon.com/Convex-Optimization-Corrections-2008-...……
Introduction to Probability Theory https://www.amazon.com/Introduction-Probability-2nd-Dimitri-... Linear Algebra https://www.amazon.com/Introduction-Linear-Algebra-Gilbert-S... Convex Optimization https://www.amazon.com/Convex-Optimization-Corrections-2008-...…
……Exercises（AMS Chelsea 出版）。最经典的概率论著作是 Feller 的书（共 2 卷），但价格贵得离谱。此外还有 Sidney Resnick 的《Probability Path》和《Adventures in Stochastic Processes》。Grinstead & Snell 的《Introduction to Probability Theory》是免费的[2]，另外还有 Chung 写的《A Course in Probability Theory》（Academic Press/Elsevier 出版）。Dover 至少出版过三本关于反例和病态情形的好书：《Counterexamples in……
…Exercises (AMS Chelsea) The classic probability book is Feller (2 vol), but it's absurdly priced. There's also Sidney Resnick's Probability Path and Adventures in Stochastic Processes. Grinstead & Snell - Introduction to Probability Theory is free[2], and there's also Chung's A Course in Probability Theory (Academic Press/Elsevier). Dover publishes at least three good books on counterexamples and pathological cases: Counterexamples in…