Benedict Gross

Fat Chance (eBook, PDF)

Probability from 0 to 1

• Format: PDF

Produktbeschreibung

In a world where we are constantly being asked to make decisions based on incomplete information, facility with basic probability is an essential skill. This book provides a solid foundation in basic probability theory designed for intellectually curious readers and those new to the subject. Through its conversational tone and careful pacing of mathematical development, the book balances a charming style with informative discussion. This text will immerse the reader in a mathematical view of the world, giving them a glimpse into what attracts mathematicians to the subject in the first place. Rather than simply writing out and memorizing formulas, the reader will come out with an understanding of what those formulas mean, and how and when to use them. Readers will also encounter settings where probabilistic reasoning does not apply or where intuition can be misleading. This book establishes simple principles of counting collections and sequences of alternatives, and elaborates on these techniques to solve real world problems both inside and outside the casino. Pair this book with the HarvardX online course for great videos and interactive learning: https://harvardx.link/fat-chance.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 13. Juni 2019
• Englisch
• ISBN-13: 9781108598705
• Artikelnr.: 66178347

Autorenporträt

Benedict Gross is Leverett Professor of Mathematics, Emeritus at Harvard University, Massachusetts, and Professor of Mathematics at University of California, San Diego. He has taught mathematics at all levels at Princeton University, Brown University, Harvard University, and University of California, San Diego, and served as the Dean of Harvard College from 2003-2007. He is a member of the American Academy of Arts and Sciences and the National Academy of Science. Among his awards and honors are the Cole Prize from the American Mathematical Society and a MacArthur Fellowship. His research is primarily in number theory.

Inhaltsangabe

Part I. Counting: 1. Simple counting
2. The multiplication principle
3. The subtraction principle
4. Collections
5. Games of chance
Interlude
6. The binomial theorem
7. Advanced counting
Part II. Probability: 8. Expected value
9. Conditional probability
10. Unfair coins and loaded dice
11. Geometric probability
Part III. Probability in the Large: 12. Games and their payoffs
13. The normal distribution
14. Don't try this at home.