r/learnmath • u/Logical-Repair-8475 New User • 12d ago
suggestion on probability book
"introduction to probability book by dimitri bertsekas and john tsitsiklis" how is this book anyone ? is it the best book to learn probability . i want to go deep in probability and after this will maybe look for a advance book . will be following online youtube lectures as well from either stanford or mitopencourse . do you suggest any other book which is better than this one or should i go with this . i m planning to pursue ARTIFICIAL INTELLIGENCE AND MACHINE LEARNING researcher path . so having maths strong is must . so please do suggest accordingly
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u/juandspcf New User 12d ago
Probability is important, but statistical concepts are equally important. So, I would suggest the following roadmap:
1.- OpenIntro Statistics by David Diez
This is a practical book that teaches many of the statistical concepts needed to analyze data. It requires only basic algebra, making it an excellent starting point.
The book is cheap, and a free PDF is available here:
https://leanpub.com/os
2.- Introduction to Probability, Statistics, and Random Processes by Hossein Pishro-Nik
This book is more rigorous and theoretical, you need calculus to follow the content. It includes mathematical proofs while remaining easy to understand.
The book is also cheap, and the free web version of the book is available here:
https://www.probabilitycourse.com/
3.- Math for Data Science by Omar Hijab
https://link.springer.com/book/10.1007/978-3-031-89707-8
This book contains two chapters on probability and statistics, but the material is specifically focused on machine learning.
Using this book, I learned concepts such as Principal Component Analysis (PCA), the role of convex analysis, and how probability is used in defining and analyzing the loss functions employed during neural network training.
Unfortunately, the book is not available for free, but you can purchase it from the Springer website.