Fundamentals of Probability With Stochastic Processes, 4/e (Hardcover)
暫譯: 機率與隨機過程基礎,第4版 (精裝本)

Saeed Ghahramani

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商品描述

本書序言

New to the Fourth Edition:
●538 new examples and exercises have been added, almost all of which are of applied nature in realistic contexts
●Self-quizzes at the end of each section and self-tests at the end of each chapter allow students to check their comprehension of the material
●An all-new Companion Website includes additional examples, complementary topics not covered in the previous editions, and applications for more in-depth studies, as well as a test bank and figure slides. It also includes complete solutions to all self-test and self-quiz problems

本書特色

"The 4th edition of Ghahramani's book is replete with intriguing historical notes, insightful comments, and well-selected examples/exercises that, together, capture much of the essence of probability. Along with its Companion Website, the book is suitable as a primary resource for a first course in probability. Moreover, it has sufficient material for a sequel course introducing stochastic processes and stochastic simulation."

--Nawaf Bou-Rabee, Associate Professor of Mathematics, Rutgers University Camden, USA

"This book is an excellent primer on probability, with an incisive exposition to stochastic processes included as well. The flow of the text aids its readability, and the book is indeed a treasure trove of set and solved problems. Every sub-topic within a chapter is supplemented by a comprehensive list of exercises, accompanied frequently by self-quizzes, while each chapter ends with a useful summary and another rich collection of review problems."

--Dalia Chakrabarty, Department of Mathematical Sciences, Loughborough University, UK

"This textbook provides a thorough and rigorous treatment of fundamental probability, including both discrete and continuous cases. The book’s ample collection of exercises gives instructors and students a great deal of practice and tools to sharpen their understanding. Because the definitions, theorems, and examples are clearly labeled and easy to find, this book is not only a great course accompaniment, but an invaluable reference."

--Joshua Stangle, Assistant Professor of Mathematics, University of Wisconsin – Superior, USA

This one- or two-term calculus-based basic probability text is written for majors in mathematics, physical sciences, engineering, statistics, actuarial science, business and finance, operations research, and computer science. It presents probability in a natural way: through interesting and instructive examples and exercises that motivate the theory, definitions, theorems, and methodology. This book is mathematically rigorous and, at the same time, closely matches the historical development of probability. Whenever appropriate, historical remarks are included, and the 2096 examples and exercises have been carefully designed to arouse curiosity and hence encourage students to delve into the theory with enthusiasm.

商品描述(中文翻譯)

本書序言

本書第四版的新內容:

●新增538個範例和練習,幾乎全部為應用性質的真實情境

●每個章節結尾的自我測驗和每個部分結尾的自我檢測,讓學生能檢查自己對材料的理解

●全新的伴隨網站包含額外的範例、前幾版未涵蓋的補充主題,以及更深入研究的應用,還有測試題庫和圖表幻燈片。它還包括所有自我測驗和自我檢查問題的完整解答

本書特色

「Ghahramani的第四版書籍充滿了引人入勝的歷史註解、深刻的評論,以及精心挑選的範例/練習,這些共同捕捉了概率的本質。配合其伴隨網站,這本書適合作為概率入門課程的主要資源。此外,它還有足夠的材料用於後續課程,介紹隨機過程和隨機模擬。」

--Nawaf Bou-Rabee,美國羅格斯大學坎登數學副教授

「這本書是概率的優秀入門書,並且包含了對隨機過程的深刻闡述。文本的流暢性有助於可讀性,這本書確實是解題和已解決問題的寶庫。每個章節中的每個子主題都附有全面的練習題清單,並經常伴隨自我測驗,而每個章節結尾都有有用的總結和另一組豐富的複習問題。」

--Dalia Chakrabarty,英國拉夫堡大學數學科學系

「這本教科書對基本概率進行了徹底而嚴謹的處理,包括離散和連續情況。書中豐富的練習題集合為教師和學生提供了大量的練習和工具,以加深他們的理解。由於定義、定理和範例都清晰標示且易於查找,這本書不僅是優秀的課程輔助資料,也是無價的參考書。」

--Joshua Stangle,美國威斯康辛大學-蘇比爾數學助理教授

這本基於微積分的一或兩學期的基本概率教材,專為數學、物理科學、工程、統計、精算科學、商業與金融、運籌學和計算機科學的專業學生而寫。它以自然的方式呈現概率:通過有趣且具啟發性的範例和練習來激發理論、定義、定理和方法論。這本書在數學上是嚴謹的,同時也緊密符合概率的歷史發展。每當適當時,會包含歷史註解,並且2096個範例和練習題經過精心設計,以激發好奇心,從而鼓勵學生熱情地深入理論。

目錄大綱

1.Axioms of Probability
2.Combinatorial Methods
3.Conditional Probability and Independence
4.Distribution Functions and Discrete Random Variables
5.Special Discrete Distributions
6.Continuous Random Variables
7.Special Continuous Distributions
8.Bivariate Distributions
9.Multivariate Distributions
10.More Expectations and Variances
11.Sums of Independent Random Variables and Limit Theorems
12.Stochastic Processes

目錄大綱(中文翻譯)

1.Axioms of Probability

2.Combinatorial Methods

3.Conditional Probability and Independence

4.Distribution Functions and Discrete Random Variables

5.Special Discrete Distributions

6.Continuous Random Variables

7.Special Continuous Distributions

8.Bivariate Distributions

9.Multivariate Distributions

10.More Expectations and Variances

11.Sums of Independent Random Variables and Limit Theorems

12.Stochastic Processes