# Foundations of Mathematics and Statistics

## Probability and Statistics with an Introduction to the Fundamentals of Mathematics

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**Book Details**

**About the Book**

Foundations of Mathematics and Statistics is a summary of the basic principles of math and statistics for students that are interested in pursuing studies in the mathematical sciences. The first goal is to provide a good foundation of knowledge and ability with the basics of mathematics. This includes logic, sets, number systems, algebra, geometry, trigonometry, and the calculus. Then the remainder of the book deals with the fundamental topics of applied and mathematical statistics, including probability, random variables, expected value, samples, distributions, hypothesis testing, confidence intervals, and an introduction to linear regression and correlation. The book can be used by all students, teachers, prospective teachers, and mathematical dilitantes like myself, that need or want a summary of math fundamentals, with a sound introduction to the basics of statistical thinking and methodology. Those that need a good familiarity with math and statistics, students and teachers alike, would find this book a valuable and enjoyable supplemental reading, along with the fair amount of exercises that are included in order to reinforce the important ideas.

**About the Author**

The author, Timothy C Kearns, has a BS degree in Statistics and Mathematics from Virginia Tech, 1983. After college, he worked at the U.S. Census Bureau as a computer programmer and has more than 15 years of tutoring experience at the college level in mathematics and statistics. I have gained extensive knowledge and experience with applied and theoretical mathematics. My informal education extends into the history of math and science, a lot of reading about classical and modern physics, chemistry, biology and evolution theory, human origins, astronomy and cosmology, and some aspects of philosophy. Tutoring mathematics, statistics, and other subjects for many years has made it possible for me to write this rigorous and rather comprehensive overview of the subjects of mathematics and statistics, which I'm sure would benefit and be enjoyable reading for students and teachers alike.