《概率论沉思录》内容简介
概率论作为逻辑的延伸，是所有科学推断的基础。杰恩斯表明，概率论的应用范围远比传统频率派所设定的要广泛。本书收集了概率统计的各种线索，将概率论和统计推断融合，简洁统一，生动地讨论了其在数学、物理学、经济学、化学、生物学中的广泛应用，揭开了众多悖论背后的玄机。尤其关注贝叶斯理论，证明了当概率和客观频率之间存在对应关系时，贝叶斯概率分布总会平滑地转化为客观频率分布。本书内容全面，附有大量练习。
作者简介
埃德温·汤普森·杰恩斯（E.T.Jaynes）
著名数学物理学家，曾任圣路易斯华盛顿大学和斯坦福大学教授，在统计力学和概率统计推断方面有杰出贡献。1957年发表了热力学的最大熵解释，1963年与弗雷德·卡明斯一起以完全量子化的方式模拟了电磁场中二能级原子的演化，该模型称为杰恩斯-卡明斯模型。杰恩斯大力提倡将概率论解释为逻辑的延伸。
Introduction to the content of Meditations on Probability Theory
Probability theory, as an extension of logic, is the basis of all scientific inference. Jaynes shows that probability theory is far more widely applied than traditional frequency theorists assume. This book collects various clues of probability statistics, integrates probability theory and statistical inference, and vividly discusses its wide application in mathematics, physics, economics, chemistry, and biology, revealing the mystery behind many paradoxes. Particular attention is paid to Bayesian theory, which proves that when there is a correspondence between probability and objective frequency, the Bayesian probability distribution always smoothly translates into an objective frequency distribution. The book is comprehensive with lots of exercises.
About the author
Edwin Thompson Jaynes (E.T.Jaynes)
A renowned mathematical physicist and former professor at Washington University in St. Louis and Stanford University, he has made outstanding contributions to statistical mechanics and probabilistic statistical inference. The maximum entropy interpretation of thermodynamics was published in 1957, and in 1963, together with Fred Cummings, the evolution of a two-level atom in an electromagnetic field was simulated in a fully quantized manner, a model called the Jaynes Cummings model. Jaynes was a strong advocate of interpreting probability theory as an extension of logic.
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