《概率理论及其应用》(Enders A. Robinson)
Probability theory and its applications represent a discipline of fun damental importance to nearly all people working in the high-tech nology world that surrounds us. There is increasing awareness that we should ask not "Is it so?" but rather "What is the probability that it is so?" As a result, most colleges and universities require a course in mathematical probability to be given as part of the undergraduate training of all scientists, engineers, and mathematicians. This book is a text for a first course in the mathematical theory of probability for undergraduate students who have the prerequisite of at least two, and better three, semesters of calculus. In particular, the student must have a good working knowledge of power series expan sions and integration. Moreover, it would be helpful if the student has had some previous exposure to elementary probability theory, either in an elementary statistics course or a finite mathematics course in high school or college. If these prerequisites are met, then a good part of the material in this book can be covered in a semester (IS-week) course that meets three hours a week.
概率论及其应用代表了对我们周围高科技世界中几乎每个人工作的基础性学科的重要性。越来越多的人意识到,我们不应问“这是真的吗?”而应问“它是真的可能性有多大?”结果,几乎所有大学和大学都要求在所有科学家、工程师和数学家的本科培训中加入一门数学概率课程。这本书是为本科生开设的第一门概率数学理论课程的教材。这些学生必须具备至少两学期以上的微积分学知识,最好是有三学期以上。特别是,学生需要对幂级数展开和积分有很好的应用知识。此外,如果学生之前曾在初等统计课或高中或大学中的有限数学课中接触过基础概率理论,那就更好了。只要满足这些先决条件,那么这本书中的大部分内容可以在每周3小时的课程中讲授一学期(16周)。
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