Introduction to Probability (Cambridge Mathematical Textbooks) 1st Edition by David F. Anderson (PDF)

Description

This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.

User’s Reviews

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

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

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

⭐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.

⭐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.

⭐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.

⭐The instructions and proofs are way too blurry.

⭐It was not well written

⭐Currently using this textbook for a probability class; it is the first time it has been used to teach this course at my school and all I can say is that – for the well-being of future probability students – I hope it is never used again. Although I love math, it does not come easy to me and so I really take professor’s advice to “actually read” the textbook.I have never so consistently felt like I read a section of a book and got nothing out of it. Every time I read the book I pay careful attention to what is being said, and try and determine how formulas are produced. However, the language in this book is very poor; I can’t help but conclude that the people who wrote this book are good mathematicians but horrible writers. The book seems to have an obsession with brevity, resulting in the authors using as little words as possible to explain concepts and giving no explanation on how the examples are approached beyond what is absolutely necessary. This all results in sections being very short, but who cares if a section is short if its content is worthless?You will not feel prepared to do the problems of a section after reading it, you will very likely have to almost entirely supplement your usage of this book with outside sources to understand how to solve probability problems, so much so that I recommend not using at all, and avoiding its confusing, overly brief language altogether.

⭐found myself only understanding 20% of it looked too complicated in even making simple points. Much better books out there.

⭐One of the few math related textbooks I know that does a good job of explaining concepts, followed by examples which are solved with explanation.

⭐This book is an excellent introduction to probability : it is concise, the different concepts are cleverly introduced, examples are illuminating. Most of all, the complexity of certain demonstration are explained simply. It is the best introduction to probability I ever read : I strongly recommand this book.

⭐

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