Probability Theory
暫譯: 機率論

Renyi, Alfred

Probability Theory
  • 出版商: Dover Publications
  • 出版日期: 2007-05-11
  • 售價: $1,390
  • 貴賓價: 9.8 折 $1,362
  • 語言: 英文
  • 頁數: 672
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 0486458679
  • ISBN-13: 9780486458670
  • 相關分類: 機率統計學 Probability-and-statistics

    • 海外代購書籍(需單獨結帳)

商品描述

The founder of Hungary's Probability Theory School, A. Rényi made significant contributions to virtually every area of mathematics. This introductory text is the product of his extensive teaching experience and is geared toward readers who wish to learn the basics of probability theory, as well as those who wish to attain a thorough knowledge in the field.
Based on the author's lectures at the University of Budapest, this text requires no preliminary knowledge of probability theory. Readers should, however, be familiar with other branches of mathematics, including a thorough understanding of the elements of the differential and integral calculus and the theory of real and complex functions. These well-chosen problems and exercises illustrate the algebras of events, discrete random variables, characteristic functions, and limit theorems. The text concludes with an extensive appendix that introduces information theory.

商品描述(中文翻譯)

匈牙利機率論學派的創始人 A. Rényi 在幾乎所有數學領域都做出了重要貢獻。本書是他豐富教學經驗的產物，旨在幫助希望學習機率論基礎的讀者，以及那些希望在該領域獲得深入知識的讀者。

本書基於作者在布達佩斯大學的講座，並不需要讀者具備機率論的先備知識。然而，讀者應該熟悉其他數學分支，包括對微積分的基本概念以及實數和複數函數理論的透徹理解。這些精心挑選的問題和練習題展示了事件的代數、離散隨機變數、特徵函數和極限定理。本書最後附有一個詳細的附錄，介紹了資訊理論。

作者簡介

Alfred Renyi: The Happy Mathematician
Alfred Renyi (1921-1970) was one of the giants of twentieth-century mathematics who, during his relatively short life, made major contributions to combinatorics, graph theory, number theory, and other fields.

Reviewing Probability Theory and Foundations of Probability simultaneously for the Bulletin of the American Mathematical Society in 1973, Alberto R. Galmarino wrote:

"Both books complement each other well and have, as said before, little overlap. They represent nearly opposite approaches to the question of how the theory should be presented to beginners. Rényi excels in both approaches. Probability Theory is an imposing textbook. Foundations is a masterpiece."

In the Author's Own Words:
"If I feel unhappy, I do mathematics to become happy. If I am happy, I do mathematics to keep happy."

"Can the difficulty of an exam be measured by how many bits of information a student would need to pass it? This may not be so absurd in the encyclopedic subjects but in mathematics it doesn't make any sense since things follow from each other and, in principle, whoever knows the bases knows everything. All of the results of a mathematical theorem are in the axioms of mathematics in embryonic form, aren't they?" -- Alfred Rényi

作者簡介(中文翻譯)

**阿爾弗雷德·雷尼：快樂的數學家**
阿爾弗雷德·雷尼（1921-1970）是二十世紀數學的巨擘之一，在他相對短暫的生命中，對組合數學、圖論、數論及其他領域做出了重大貢獻。

在1973年為《美國數學學會通訊》同時評價《概率論》和《概率基礎》，阿爾貝托·R·加爾馬里諾寫道：
「這兩本書相輔相成，如前所述，重疊不多。它們代表了對於如何向初學者呈現理論的幾乎相反的方式。雷尼在這兩種方法中都表現出色。《概率論》是一本令人印象深刻的教科書。《概率基礎》則是一部傑作。」

**作者的話：**
「如果我感到不快樂，我就做數學來變得快樂。如果我快樂，我就做數學來保持快樂。」
「考試的難度能否通過學生需要多少信息位來衡量？這在百科全書式的科目中可能不那麼荒謬，但在數學中這毫無意義，因為事物是相互關聯的，原則上，知道基礎的人就知道一切。數學定理的所有結果都在數學的公理中以胚胎形式存在，不是嗎？」 -- 阿爾弗雷德·雷尼

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