Introduction to Probability with Mathematica, Second Edition (Textbooks in Mathematics)
暫譯: 使用Mathematica的機率導論(第二版)
Kevin J. Hastings
- 出版商: CRC
- 出版日期: 2009-10-01
- 售價: $8,100
- 貴賓價: 9.5 折 $7,695
- 語言: 英文
- 頁數: 465
- 裝訂: Hardcover
- ISBN: 1420079387
- ISBN-13: 9781420079388
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商品描述
Updated to conform to Mathematica® 7.0, Introduction to Probability with Mathematica®, Second Edition continues to show students how to easily create simulations from templates and solve problems using Mathematica. It provides a real understanding of probabilistic modeling and the analysis of data and encourages the application of these ideas to practical problems. The accompanying CD-ROM offers instructors the option of creating class notes, demonstrations, and projects.
New to the Second Edition
- Expanded section on Markov chains that includes a study of absorbing chains
- New sections on order statistics, transformations of multivariate normal random variables, and Brownian motion
- More example data of the normal distribution
- More attention on conditional expectation, which has become significant in financial mathematics
- Additional problems from Actuarial Exam P
- New appendix that gives a basic introduction to Mathematica
- New examples, exercises, and data sets, particularly on the bivariate normal distribution
- New visualization and animation features from Mathematica 7.0
- Updated Mathematica notebooks on the CD-ROM
After covering topics in discrete probability, the text presents a fairly standard treatment of common discrete distributions. It then transitions to continuous probability and continuous distributions, including normal, bivariate normal, gamma, and chi-square distributions. The author goes on to examine the history of probability, the laws of large numbers, and the central limit theorem. The final chapter explores stochastic processes and applications, ideal for students in operations research and finance.
商品描述(中文翻譯)
更新以符合 Mathematica® 7.0 的版本,使用 Mathematica® 的機率導論,第二版 繼續向學生展示如何輕鬆地從範本創建模擬並使用 Mathematica 解決問題。它提供了對隨機建模和數據分析的真實理解,並鼓勵將這些概念應用於實際問題。隨附的 CD-ROM 為教師提供了創建課堂筆記、演示和項目的選項。
第二版的新內容
- 擴展了馬可夫鏈的部分,包括對吸收鏈的研究
- 新增有關順序統計、多變量正態隨機變數的變換和布朗運動的部分
- 提供更多正態分佈的示例數據
- 更加關注條件期望,這在金融數學中變得重要
- 增加了來自精算考試 P 的額外問題
- 新增附錄,對 Mathematica 進行基本介紹
- 新增示例、練習和數據集,特別是針對雙變量正態分佈
- 新增 Mathematica 7.0 的可視化和動畫功能
- 更新了 CD-ROM 上的 Mathematica 筆記本
在涵蓋離散機率的主題後,文本對常見的離散分佈進行了相當標準的處理。然後轉向連續機率和連續分佈,包括正態分佈、雙變量正態分佈、伽瑪分佈和卡方分佈。作者接著檢視機率的歷史、大數法則和中心極限定理。最後一章探討隨機過程及其應用,非常適合運籌學和金融的學生。