Introduction to Probability (Cambridge Mathematical Textbooks)

This book explains probability very well. Along with the books by Geoffrey Grimmett it is one of the best probability textbooks I've seen so far.More thorough and with more examples then Grimmett's intro book. However Grimmett's other book is significantly higher level and with more information.

I'm glad I have Kindle so that I can use this book without worrying about losing it

Ignore the negative reviews. This IS the best textbook in the market for an introduction to probability for math undergraduates. Why? Glad you asked.1. Coverage of topics. It shows that the authors are also top researchers in the field. The theorems, examples, and exercises are chosen with a purpose. They know what's important to make advances in modern probability and what's old-fashioned. They are building a solid foundation on which students can develop more advanced probability.2. Rigor. Theorems and proofs are presented with adequate rigor. They explain as much as possible and present possible pitfalls (such as measure theoretic details) and hint at how to solve them.3. Probabilistic ideas. The proofs are presented with probabilistic ideas. I suspect this is the primary reason why some students find it difficult. They have never been exposed to probabilistic way of thinking. But this is what the textbook is supposed to train them. And it does it flawlessly.4. Statistical ideas. The book has plenty of statistics in it, for example, discussion on p-values. This is great. Plenty of probability concepts can be best communicated through statistical questions. If you have math and stat students in your class, they both get a lot out of it.I am so grateful to the authors for writing this textbook. This is miles ahead of any other textbook I have seen. We have adopted this book for our undergrad probability sequence successfully.

nothing to like or dislike. I had to have it for a class

I used a draft version of this book while in Prof. Seppalainen's class. This book writes an equation and then translates it into English. In a way, this book is why I can say I understood probability theory or math in general. It also got me over the notion that theoretical math isn't fun; it converted an engineer into a mathematician.I sincerely recommend this book! The examples were engaging and well-explained, and wherever there was an unintuitive step taken, it was expanded upon immediately after. I read this book cover to cover, and I thoroughly enjoyed every page, which I cannot say about any other textbook.

Very dense and wordy. I thought the formatting was weird and hard to distinguish quickly at a glance what was introducing or motivating a new topic vs the worked examples for that section. Needed more distinct separation imo. Content wise it was adequate and the examples were good and diverse, however I am certain there are better introductory probability texts.

The instructions and proofs are way too blurry.

It was not well written