Other How Can I Maintain Interest and Improve My Understanding of Probability?

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SUMMARY

This discussion focuses on strategies to maintain interest and deepen understanding of probability. The participant has explored William Feller's "Probability" and E.T. Jaynes' "Probability Theory: The Logic of Science" but found them unengaging. They possess foundational knowledge in combinatorial, conditional, Bayesian probabilities, and distributions such as binomial, Poisson, and Normal. Recommendations include utilizing online lectures, engaging with problem sets, and exploring beginner-friendly books like "Probability: For the Enthusiastic Beginner" by David J. Morin and "The Probability Tutoring Book" by Carol Ash.

PREREQUISITES
  • Basic knowledge of combinatorial probability
  • Understanding of conditional and Bayesian probability
  • Familiarity with binomial, Poisson, and Normal distributions
  • Calculus background for deriving and applying continuous probability distributions
NEXT STEPS
  • Watch online lectures on probability concepts
  • Practice problem sets from existing textbooks
  • Read "Probability: For the Enthusiastic Beginner" by David J. Morin
  • Explore "The Probability Tutoring Book" by Carol Ash for intuitive understanding
USEFUL FOR

Students, educators, and professionals seeking to enhance their understanding of probability, particularly those who have struggled with traditional textbooks and are looking for engaging resources and strategies.

Maths Absorber
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I want to have a deep understanding of probability.

I've tried William Feller's first book on Probability, and E.T Jaynes' Probability theory - the logic of science (which is very different from most probability books.)
But, neither books could hold my interest for long. The first was too boring. The second was too tough to understand.

Please suggest some strategies and books that can help me.

As far as the level of my current knowledge goes, I know basic combinatorial probability, conditional probability, Bayesian probability, binomial, Poisson and Normal distribution. I only know how to apply the normal distribution, not how to derive it.
 
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Personally, I used Walpole, Myers, Myers, & Ye 7th ed. to learn these topics. Newer editions are available pretty inexpensively, and it might be a decent introduction for you. It assumes the reader to have a good background in calculus, which is required for deriving and applying the normal distribution.

Calculus is required to understand and apply most continuous probability distributions and applications, actually.

Realistically, though, before you buy any more books, I encourage you to watch some online lectures, and start to do problems out of the books you have. When you run into difficulties, ask questions in the Homework and Coursework Questions sub-forum here.
 
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Free options on to check out before purchasing something,

Matloff. From Algorithms to Z-Scores. http://heather.cs.ucdavis.edu/matloff/public_html/probstatbook.html
Grinsted & Snell. Introduction to Probability. https://www.dartmouth.edu/~chance/teaching_aids/books_articles/probability_book/amsbook.mac.pdf

I haven't read these since I first studied the subject in school (course used Ross' First Course in Probability and another using Casella & Berger's Statistical Inference where the first half is probability). The first would be more interesting to a computer scientist such as myself. I'm thinking of reading portions of the book for review when I have the time. The second is more standard and I've seen recommended elsewhere.
 
Can you tell me some ways to stay motivated ? The problem is I'm getting bored and losing interest very fast.
 
Maths Absorber said:
Can you tell me some ways to stay motivated ? The problem is I'm getting bored and losing interest very fast.
Solve Problems. Discuss in groups. Teach someone what you learn.
 
i am self learning physics. have you ever worked your way backwards again after finishing most undergrad courses? i have textbooks for junior/senior physics courses in classical mechanics, electrodynamics, thermal physics, quantum mechanics, and mathematical methods for self learning. i have the Halliday Resnick sophomore book. working backwards, i checked out Conceptual Physics 11th edition by Hewitt and found this book very helpful. What i liked most was how stimulating the pictures...

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