This introduction presents the mathematical theory of probability for readers in the fields of engineering and the sciences who possess knowledge of elementary calculus. Presents new examples and exercises throughout. Offers a new section that presents an elegant way of computing the moments of random variables defined as the number of events that occur. Gives applications to binomial, hypergeometric, and negative hypergeometric random variables, as well as random variables resulting from coupon collecting and match models. Provides additional results on inclusion-exclusion identity, Poisson paradigm, multinomial distribution, and bivariate normal distribution A useful reference for engineering and science professionals.
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71 of 76 people found the following review helpful:
4.0 out of 5 stars
Okay for advanced students.,
This review is from: First Course in Probability, A (7th Edition) (Hardcover)
The title of this book is a bit of a misnomer. A more apt title would have been "First Graduate Course in Probability" or "A Second Course in Probability". The book description describes this as an introduction for students with an understanding of only elementary calculus. However, I believe that very few people with a background in only elemetary Calculus are going to be able to follow this text which presupposes facility with proof techniques like mathematical induction and a moderate level of mathematical maturity. Ross does not do any hand holding. Proofs are short and to the point, explanations are terse and compact, "obvious" steps are skipped and left to the reader to fill in. So if you are not prepared to follow terse mathematical explanations that are short on cursory explanation, then this may not be the book for you.
For math majors and other students with a strong mathematics background, however, this may serve as a useful reference. It is concise, elegant and chock full of example problems with solutions. But it all depends on what you are ready for. Some may find the excessive number of example problems distasteful and prefer a less cluttered treatment. Others may find that, despite the examples, the book is not "applied" enough. In my opinion, this book is not suitable as a first course in probability for anyone but mathematics majors. You will get the most out of this book if you are already familiar with the subject, or if you have a talented teacher to fill in the numerous gaps. For actuarial students and engineers, you may want to look for a more expository volume like "Introduction to Probability" by Bertsekas.
47 of 50 people found the following review helpful:
5.0 out of 5 stars
Sheldon Ross saves me every time,
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This review is from: First Course in Probability, A (7th Edition) (Hardcover)
Contrary to its title, this book has helped me through several probability courses. I used this book not only to study for the first actuary exam, but also as a supplement for my intermediate and doctoral-level probability/inference courses. Ross fills in gaps left by texts such as Rice, Cassella and Berger, etc., by spelling out properties of various distributions, and showing how they relate to eachother, and by doing many many examples.
Incidentally, save yourself the money and get an earlier edition. I have the fifth edition, which was not even the current edition at the time that I bought it, and it's perfect as is.
34 of 37 people found the following review helpful:
2.0 out of 5 stars
Poor textbook.,
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This review is from: First Course in Probability, A (7th Edition) (Hardcover)
This was a textbook for a probability course that I took, and I did not find it very useful at all. The book is incredibly thick and large, but there is relatively little information in it. The extra bulk is not due to explanatory prose, discussion, or optional topics, but rather, an abundance of examples, some of which are good, but some of which are inappropriate and/or poorly carried out. In particular, I find that the order in which the examples are presented is not optimal, and the amount of examples on a given topic is not optimal either. There also needs to be much more discussion, instead of just going over specific problems.
Overall, the book is unreadable, even though it's at an elementary level. The only redeeming quality of this book is that its exercises are fairly challenging, interesting, and there is a "self-test" section at the end of each chapter which provides fairly good explanations of how to carry out the problems. My last criticism of this book is that it's clear that the publisher is trying to milk this for as much money as its worth--by the 7th edition, the book should be very refined, and honestly, looking at previous editions I see absolutely no improvement. I honestly question any book that goes beyond 3 or 4 editions...I think it's a money-making scam and you shouldn't waste your time with it when there are so many good texts on probability out there.
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