Introduction to Probability by Charles M. Grinstead (PDF)

Description

text is designed for an introductory probability course at the university level for sophomores, juniors, and seniors in mathematics, physical and social sciences, engineering, and computer science. It presents a thorough treatment of ideas and techniques necessary for a firm understanding of the subject. The text is also recommended for use in discrete probability courses. The material is organized so that the discrete and continuous probability discussions are presented in a separate, but parallel, manner. This organization does not emphasize an overly rigorous or formal view of probabililty and therefore offers some strong pedagogical value. Hence, the discrete discussions can sometimes serve to motivate the more abstract continuous probability discussions. Features: Key ideas are developed in a somewhat leisurely style, providing a variety of interesting applications to probability and showing some nonintuitive ideas. Over 600 exercises provide the opportunity for practicing skills and developing a sound understanding of ideas. Numerous historical comments deal with the development of discrete probability. The text includes many computer programs that illustrate the algorithms or the methods of computation for important problems.

User’s Reviews

Editorial Reviews: Review “The book is a beautiful introduction to probability theory at the beginning level. The book contains a lot of examples and an easy development of theory without any sacrifice of rigor, keeping the abstraction to a minimal level. It is indeed a valuable addition to the study of probability theory.” —- Zentralblatt MATH

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Good book to start learning Probability Theory.

⭐This is a book that is easy to follow.

⭐Such a joyful book to read. Recommended to everybody who dislike probability, and will loving it aafter reading it.

⭐The associated programming exercises are for ancient editions of their respective programs. Needs revision or an update.

⭐I used this book when I taught Probability last Summer and I thought the book was excellent. The book is full of illuminating examples and the exercises are really good to enhance the material.My favorite chapter is Chapter 9, were they teach the Central Limit Theorem.Another great chapter is 11 where the book deals with Markov Chains. Markov chains are great for applications in the real world and the chapter is written very clearly.The book covers Discrete Probability, Continuous Probability, Permutations, Combinations, Conditional Probability, Expectation, Variance, Poisson Distribution, Normal Distribution, Law of Large Numbers, Central Limit Theorem, Markov Chains and Random Walks. It covers everything one needs for an introductory probability course.

⭐This is a great book in probability for self-study and it will definitely build a strong foundation for advanced topics in the field. For a long time I’ve been in search of a book like this one. There are widely known books, like “A Course in Probability Theory” by K-L Chung and “Foundations of the theory of probability” by Kolmogorov, which are great but require strong background in probability and mathematics. On the other hand, there are numerous books for beginners and most of them are, however, just good enough for getting things done. These books won’t let you prepare for advance study of the subject. In fact, most of these elementary books will somehow let you feel that probability is all about applying correct formula of probability and that of permutation & combination. But the subject has much more than just permutations. A foundation on probability cannot be on strong unless you understand the physical significance of each assignment you do, each axiom you learn. This fine book by Grinstead and Snell has done a great deal in teaching probability from basics and in enabling readers to have independent thoughts and broader perspectives as one progresses.My recommendation to aspiring beginners or to anyone self-learning, is to take this book sincerely, and when you’ll be at a certain level (may be halfway through this book) start reading the book “An Introduction to Probability Theory and Its Applications” volume 1 by W Feller, as well. (By the way, this book by W. Feller is a great one and is must read once you get a grasp of the subject.)

⭐This book covers all the main concepts of probability theory (starting from the vocabulary) using a rigorous yet affordable mathematical language. You can use it to build very solid foundations for more advanced studies or for further topics as statistics or econometrics .The only downside is that it doesn’t “concretize” much the discussion, and most of examples are just about “numbers” and not on real-life. The book also include lots of homeworks and, interesting, historical anecdotes.Grinstead & Snell has been now released with a liberal licence, so you can legally download the PDF for free. Alternatively you can find used copies for very few euros.It may well have 20 years, but being it at an introductory level (although rigorous) the concepts exposed are still perfectly actual.

⭐This is a wonderful book on probability theory.I first used it at Dartmouth in an intro course 12 years ago, and I still find it illuminating.The level is at once highly rigorous and extremely readable & engaging. I believe anyone can read this book (a smattering of first-year calculus would help to understand the sections on continuous probability distributions).The paradoxes in Chp 4 are memorable, as is the medical question on false positives / false negatives, which most med students failed.With a chapter on random walks, this is also the perfect introduction for anyone in physics / finance seeking to study stochastic calculus.Truly, there’s nothing that is(a) more clearly written(b) more enjoyable to read (if you like math)

⭐The contents of the book are top notch. This is one of the best references for probability and should be in the library of anyone who’s interested in these topics.However, the paperback edition sold through here has a good amount of pages pasted together, and it’s overall low printing quality. Get the hardcover edition if you need this.

⭐What are the chances I would not like this text book? It’s a textbook that was required and it arrived so there’s that

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