概率论
Probability Theory
E. T. Jaynes · 初版 2003 年
77人推荐
138位读者提及
193次提及
为什么值得读
- 从纯逻辑第一性原理推导贝叶斯定理
- 讲解概率的方式与市面其他教材截然不同
- 有助于建立扎实严谨的数学思维基础
出版方介绍：概率的标准规则可以被阐释为逻辑学中唯一有效的原则。在本书中，E. T. Jaynes 破除了“概率论”与“统计推断”之间人为制造的界限，还原了逻辑上的统一性与简洁性，从而在实际应用中提供了更强大的技术力量和灵活性。本书超越了传统的概率论数学范畴，从更广阔的视角来审视该学科。书中探讨了最新研究成果，以及概率论在物理学、数学、经济学等诸多领域中广泛问题的应用
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我有本心头好，就是 E.T. Jaynes 的《概率论沉思录》（Probability Theory: The Logic of Science）。我太喜欢它的文笔和讲解概率论的方式了。在概率论领域，我还没见过哪本书能写成这样。我看过的其他每一本书……
I have a favourite. Probability Theory: The Logic of Science by E.T. Jaynes. I just love it for the writing and the way it teaches probability. I haven't encountered any book in probability that is like this book. Every other book I have…
你绝对需要多元微积分、线性代数、概率论和信息论的扎实基础。精通图论也会很有帮助。在我看来，最好的入门起点之一是 David MacKay 的《信息论、推理与学习算法》（Information Theory, Inference and Learning Algorithms）。……
You absolutely need a solid grounding in multi-variable calculus, linear algebra, probability theory and information theory. It will also be helpful to be well versed in graph theory. In my opinion one of the best starting points is "Information Theory, Inference and Learning Algorithms" by David MacKaye.…
对我来说，目前为止最好的贝叶斯概率书籍是 E. T. Jaynes 的《概率论沉思录：原理与初等应用》（Probability Theory: The Logic of Science: Principles and Elementary Applications）。这本书从逻辑的第一性原理推导出贝叶斯定理，并展示了它在……的应用。
For me the best so far book on Bayesian probability was "Probability Theory: The Logic of Science: Principles and Elementary Applications" by E. T. Jaynes. The book starts from the deduction of Bayesian theorem from the first principles of logic and shows its applications to…
……能帮你打下良好的数学思维基础。Graham、Knuth、Patashnik 著《具体数学》（Concrete Mathematics），Spivak 的《微积分》（Calculus），Velleman 的《怎样证明》（How to Prove It），波利亚的《怎样解题》（How to Solve It），E.T. Jaynes 的《概率论》（Probability Theory），Lawvere 和 Schanuel 著《概念数学》（Conceptual Mathematics）
…will help you build a good foundation for mathematical thinking. Concrete Mathematics by Graham, Knuth, Patashnik Spivak’s Calculus How to Prove It by Velleman Polya’s How to Solve It E.T. Jaynes’ Probability Theory Conceptual Mathematics by Lawvere and Schanuel
在此之前，你得先选好你的统计学家。我的建议是：把 E.T. Jaynes 救活复活。要是做不到，就找他的门徒之一。再不行，找个贝叶斯学派（Bayesian）。要是还不行，就去读《概率论沉思录》（Probability Theory: the Logic of Science），然后自己做分析。要是连这都不行，那找个频率学派（Frequentist）统计学家凑合一下也成吧。也许吧。
Before all that, you need to choose your statistician. My advice is: resuscitate E.T. Jaynes. Failing that, find one of his disciples. Failing that, find a Bayesian. Failing that, read Probability Theory: the Logic of Science, and just do the analysis yourself. Failing that, maybe a Frequentist statistician will do. Maybe.
如果你想深入了解这篇论文中涵盖的主题，我建议阅读 E. T. Jaynes 的《概率论沉思录》（Probability Theory: The Logic of Science），可以在 http://www-biba.inrialpes.fr/Jaynes/cpreambl.pdf 找到。它大概（哈！probability 双关）是我读过的最具启发性的数学书了。
If you are interested in a deeper dive into the topics covered in this paper I would suggest "Probability Theory: The Logic of Science" by E. T. Jaynes available athttp://www-biba.inrialpes.fr/Jaynes/cpreambl.pdf It is probably (ha!) the most enlightening math book I have ever read.