Mathematics

In The Art of Statistics, world-renowned statistician David Spiegelhalter shows readers how to derive knowledge from raw data by focusing on the concepts and connections behind the math. Learn how to clarify our questions, assumptions, and expectations when approaching a problem.

Presents the essentials of elementary probability. The book is primarily written for high school and college students learning about probability for the first time. In a highly accessible way, a modern treatment of the subject is given with emphasis on conditional probability and Bayesian probability, on striking applications of the Poisson distribution, and on the interface between probability and computer simulation.

Sets are central to mathematics and its foundations, but what are they? In this book Luca Incurvati provides a detailed examination of all the major conceptions of set and discusses their virtues and shortcomings, as well as introducing the fundamentals of the alternative set theories with which these conceptions are associated.

Chapter 1. Sets -- Chapter 2. Logic -- Chapter 3. Real Number Systems and Number Theory -- Chapter 4. Number Representation and Calculation -- Chapter 5. Algebra -- Chapter 6. Money Management -- Chapter 7. Probability -- Chapter 8. Statistics -- Chapter 9. Metric Measurement -- Chapter 10. Geometry -- Chapter 11. Voting and Apportionment -- Chapter 12. Graph Theory -- Chapter 13. Math and Art.