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Discovering of the theory along the way, rather than presenting it matter of factly at the beginning
Contains many original and surprising examples
A rigorous study without any measure theory
Compactly written, but nevertheless very readable
A probabilistic approach, appealing to intuition, introducing technical machinery only when necessary
Compactly written, but nevertheless very readable, appealing to intuition, this introduction to probability theory is an excellent textbook for a one-semester course for undergraduates in any direction that uses probabilistic ideas. Technical machinery is only introduced when necessary.
The route is rigorous but does not use measure theory. The text is illustrated with many original and surprising examples and problems taken from classical applications like gambling, geometry or graph theory, as well as from applications in biology, medicine, social sciences, sports, and coding theory. Only first-year calculus is required.
From the reviews:
The exposition is usually clear and eloquent…. Overall, this is a five-star book on probability that could be used as a textbook or as a supplement." MAA online
Content Level »Lower undergraduate
Keywords »Excel - Limit theorems - Probability theory - Random variable - Random walk - coding - mathematical statistics - measure theory