Probability For the Enthusiastic Beginner 1 David Morin
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This book is written for high school and college students learning about probability for the first time. It will appeal to the reader who has a healthy level of enthusiasm for understanding how and why the various results of probability come about.
All of the standard introductory topics in probability are covered combinatorics, the rules of probability, Bayes’ theorem, expectation value, variance, probability density, common distributions, the law of large numbers, the central limit theorem, correlation, and regression. Calculus is not a prerequisite, although a few of the problems do involve calculus. These are marked clearly.
The book features 150 worked-out problems in the form of examples in the text and solved problems at the end of each chapter. These problems, along with the discussions in the text, will be a valuable resource in any introductory probability course, either as the main text or as a helpful supplement.
Probability For the Enthusiastic Beginner 1 David Morin
If you have ever struggled with Combinatorics in probability books, the first chapter of this book will be a godsend.The first chapter is 56 pages long. However, when it comes to teaching and learning probability, this is the most fruitful 56 pages that I have ever seen. If you have struggled with Combinatorics, like I have, reading Chapter 1 of this book should clear much of the fog. The author doesn't assume that the reader has relevant experience in Combinatorics, which he defines as "The study of how to count things."
The author avoids the irritating phrase "it can be shown that." Rather he shows you how to "count things" as he develops the relationships used to "count things." You may have encountered the relationships he develops in the past. However, the author's explanations provides more details which makes the concepts more plausible. For example, he uses Venn Diagrams when developing probabilities for dependent events and the Probability Square when developing probabilities for independent events. To some this may seem trivial and/or obvious. However, this may not be the case for those who are studying these concepts for the first time.
This book is written in a manner that covers a broad audience interested in learning probability. You should have a very good background in at least algebra. This book is designed for more than just scratiching the surface of Probability. This may be the motivation behind the subtitle..."For the Enthusiastic Beginner."
The seven Chapters cover:
Chapter 1....Combinatorics
Chapter 2....Probability
Chapter 3....Expectation values
Chapter 4....Distributions
Chapter 5....Gaussian approximations
Chapter 6....Correlation and regression
Chapter 7....Appendices
The author solves many example problems in each chapter as aids to learning. There are also end of chapter problems with detailed solutions. Each chapter ends with a summary, which precedes the end of chapter exercises. It is noteworthy that Chapter 3 involves topics that are encountered in statistics. This is an additional plus that emphasizes the relationships between probability and statistics. This is a five star book.
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Probability For the Enthusiastic Beginner 1 David Morin Reviews
David Morin manages to make probability *extremely* accessible with this book. And I really like the enthusiast beginner focus. We are a large group, hungry for exactly this sort of writing.
Having read version, I have to say this replica format is vastly better than the original format as LaTex parts are usually scaled very poorly on original (although worse for smaller tablet/phone screens it seems).
The book covers all the fundamental entry subjects to probability navigating their logic effortlessly with the reader. The text focuses more on the intuitive understanding of logic rather than mathematically robust derivations, yet reading the book did not make me feel at all math deprived. Each point is made explicitly clear to the reader, next consolidated through a deluge of crystal clear examples. Also, nice touch to summarise main points after each part.
The only "negative" thing to voice here is that there is not a follow-up on this book perhaps with more focus on non-frequentist interpretations, or that as of yet, similarly great introductory texts are not available for other branches of fundamental mathematics such as linear algebra or calculus. I am sure the author would make also these subjects come alive with ease as he did with Probability For the Enthusiastic Beginner.
The subtitle "For the Enthusiastic Beginner", may imply to some that this is an elementary book, but it is not. The subtitle refers to the fact that the subject is covered from the beginning with no required calculus (although some is used optionally). While not focusing on theorems and derivations, some are developed. The focus of the book is on understanding the basics of probability, with only a minimal amount of rigorous mathematical formalism. This is not to say that this is a slimmed down treatment devoid of formal mathematics, it is not.
As with the other of Morin's books this is another great teaching book. It is clearly written, includes a large number of solved problems and is a good choice as a self-education text, as well as a course textbook or adjunct to book used in a class. My only complaint is that I would have liked even more solved problems. Most of the solved problems are challenging and are included as illustrations of particular points, as opposed to giving the reader simpler problems in order to gain experience with applying the material in the book.
What is in the book
Chapter 1 - Combinatorics - Determining how various combinations are computed (counting with and without repetitions and for ordered and disordered sets.)
Chapter 2 - Probability - The definition of probability and determinations of "and" and "or" combinations, plus Bayes' theorem, Stirlings's formula.
Chapter 3 - Expectation values, variance, standard deviation.
Chapter 4 - Distributions (Uniform, Bernoulli, Binomial, Exponential, Poisson and Gaussian.
Chapter 5 - The Gaussian Approximations, law of large numbers, central limit theorem.
Chapter 6 - Correlation and Regression - Definition of correlation, correlation coefficient, regression lines.
Appendices - Subtleties about probability, Euler's number, approximation, important results, glossary.
I thought I had a good understanding of statistics, but soon realized I wasn't very good at reading formulas and didn't know much besides descriptive statistics. This book provides a gentle introduction to probability and ramps up to complex ideas quickly. Within the first hundred pages I realized I was comfortable reading formulas that would have intimidated me days earlier.
Kudos to the author for recognizing the need for a book about probability for students who forgot most of their math skills.
The cover art is also wonderful.
If you have ever struggled with Combinatorics in probability books, the first chapter of this book will be a godsend.
The first chapter is 56 pages long. However, when it comes to teaching and learning probability, this is the most fruitful 56 pages that I have ever seen. If you have struggled with Combinatorics, like I have, reading Chapter 1 of this book should clear much of the fog. The author doesn't assume that the reader has relevant experience in Combinatorics, which he defines as "The study of how to count things."
The author avoids the irritating phrase "it can be shown that." Rather he shows you how to "count things" as he develops the relationships used to "count things." You may have encountered the relationships he develops in the past. However, the author's explanations provides more details which makes the concepts more plausible. For example, he uses Venn Diagrams when developing probabilities for dependent events and the Probability Square when developing probabilities for independent events. To some this may seem trivial and/or obvious. However, this may not be the case for those who are studying these concepts for the first time.
This book is written in a manner that covers a broad audience interested in learning probability. You should have a very good background in at least algebra. This book is designed for more than just scratiching the surface of Probability. This may be the motivation behind the subtitle..."For the Enthusiastic Beginner."
The seven Chapters cover
Chapter 1....Combinatorics
Chapter 2....Probability
Chapter 3....Expectation values
Chapter 4....Distributions
Chapter 5....Gaussian approximations
Chapter 6....Correlation and regression
Chapter 7....Appendices
The author solves many example problems in each chapter as aids to learning. There are also end of chapter problems with detailed solutions. Each chapter ends with a summary, which precedes the end of chapter exercises. It is noteworthy that Chapter 3 involves topics that are encountered in statistics. This is an additional plus that emphasizes the relationships between probability and statistics. This is a five star book.
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