"Fundamentals of Calculus and Probability" is a book intended for students that have already had a course or two in Calculus, but perhaps not recently. The book is an assortment of topics related to basic mathematical and statistical analysis. It starts with a discussion of the real number system and some set theory, which includes a discussion of countable and uncountable infinity, which is an important and relevant part of advanced mathematics. From there, the book contains a chapter that provides a review of some of the key concepts of single-variable calculus. Then the book discusses a...

Calculus is the mathematics of change, and change is an integral part of the universe. Mathematicians and scientists of all persuasions know that calculus is a cornerstone of modern science. Calculus allows us to solve a variety of problems dealing with continuously varying quantities. This development, which dates back to the seventeenth century, with the work of many great mathematicians, but in particular Isaac Newton and Gottfried Liebniz, has added tremendously to the power of our science and has allowed us to understand and master our world in ways that are nothing less than...