Series on Concrete and Applicable Mathematics - Vol. 2
PROBLEMS IN PROBABILITY
by T M Mills (La Trobe University, Australia)
Probability theory is an important part of contemporary mathematics. It plays a key role in the insurance industry, in the modelling of financial markets, and in statistics generally — including all those fields of endeavour to which statistics is applied (e.g. health, physical sciences, engineering, economics). The 20th century has been an important period for the subject, because we have witnessed the development of a solid mathematical basis for the study of probability, especially from the Russian school of probability under the leadership of A N Kolmogorov. We have also seen many new applications of probability — from applications of stochastic calculus in the financial industry to Internet gambling. At the beginning of the 21st century, the subject offers plenty of scope for theoretical developments, modern applications and computational problems. There is something for everyone in probability!
The notes and problems in this book have been designed to provide a basis for a series of lectures suitable for advanced undergraduate students on the subject of probability. Through problem solving, students can experience the excitement associated with probability. This activity will help them to develop their problem-solving skills, which are so valuable in today's world. The problems in the book will introduce the student to some famous works and workers in probability and convey the historical, classical and contemporary aspects of probability. A key feature of the book is that many problems are in fact small guided research projects. The research work involved in solving the problems will enhance the student's library research skills.
Contents:
- Sets, Measure and Probability
- Elementary Probability
-
Discrete Random Variables
- Continuous Random Variables
- Limit Theorems
- Random Walks
Readership: Undergraduates and lecturers in probability.
"A key feature of the book is that many problems are in fact small guided research projects. The research work involved in solving the problems will enhance the student's library research skills."
"The book is a serviceable, if not inspired, basis for learning this material ..."
"... it is well-suited to accompany an undergraduate course in probability theory."
"An excellent book, which should be in all libraries, and on the shelf of all instructors teaching courses in mathematical probability at the undergraduate or graduate level."
"The solutions are detailed and complete rather than merely answers ... The bibliography, containing about 70 references, includes many well-known and standard texts and several important historical works ... Problems in Probability is a welcome and affordable addition to the toolbox of resources for instructors of undergraduate probability."
| The American Statistician |
| 192pp |
Pub. date: Nov 2001 |
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