If you are a graduate student in mathematics, statistics, or mathematical finance, you have likely encountered the "Blue Book." David Williams' Probability with Martingales is a masterpiece of mathematical exposition—elegant, concise, and notoriously challenging.
You get multiple perspectives on a single problem, which helps if one particular proof doesn't "click" for you. Tips for Solving Williams' Problems Successfully david williams probability with martingales solutions best
: The book is designed for students rather than researchers, evolving through years of class testing. It emphasizes measure theory If you are a graduate student in mathematics,
If you feel "stuck," revisit the book's appendices. Williams keeps the main text "flowing" by moving the heavy measure theory proofs there. It emphasizes measure theory If you feel "stuck,"
: This is widely considered the most comprehensive resource. It provides organized, chapter-by-chapter answers for everything from measure spaces to independence.