Preface; Introduction; Part I. Probability in Action: 1. Probability questions; 2. The law of large numbers and simulation; 3. Probabilities in everyday life; 4. Rare events and lotteries; 5. Probability and statistics; 6. Chance trees and Bayes' rule; Part II. Essentials of Probability: 7. Foundations of probability theory; 8. Conditional probability and Bayes; 9. Basic rules for discrete random variables; 10. Continuous random variables; 11. Jointly distributed random variables; 12. Multivariate normal distribution; 13. Conditional distributions; 14. Generating functions; 15. Markov chains; Appendix; Recommended readings; Answers to odd-numbered problems; Bibliography.
New edition of the popular and informal introduction to probability, now with even more examples and exercises to help understanding.
Henk Tijms is Professor of Operations Research at the Vrije University in Amsterdam. The author of several textbooks, including A First Course in Stochastic Models, he is intensively active in the popularization of applied mathematics and probability in Dutch high schools. He has also written numerous papers on applied probability and stochastic optimization for international journals, including Applied Probability and Probability in the Engineering and International Sciences.
'This book is eminently suitable for students undertaking a first course in probability. It would be particularly useful for service teaching where students are not aiming for a degree classification in mathematics or statistics.' Significance '... an extremely well-done result of carefully designing an introduction to probability and an excellent choice ... [for] ... a textbook for a first course in probability for students from a wide area of disciplines.' Internationale Mathematische Nachrichten 'This book gives an introduction to probability theory by using motivating examples to illustrate the concepts.' Monatshefte fur Mathematik 'The author clearly wants to stimulate the reader's interest in probability, both as an academic subject and as a tool with which to assess our daily world ... The material on the history of the subject, interspersed throughout, is a worthy inclusion. The number of famous applications of probability included is remarkable - the arcsine law for random walks, the drunkard's walk in n dimensions, the Kelly betting system, the 'hot hand theory', betting systems for roulette, the Pollaczek-Khintchine queuing formula, Black-Scholes formula, and Benford's Law, just to name a few. .. I would recommend this text for instructors who may wish to try a fresh and very stimulating approach towards a first course in probability.' Mark F. Schilling, California State University 'The book is written in a narrative yet precise style which makes it enjoyable to read. It is well suited for first courses in probability for students of engineering or computer science. It may also be used as additional material in other courses or for self-study.' Zentralblatt MATH
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