Enhanced descriptions from Syndetics:

The purpose of this book is to explore the rich and elegant interplay that exists between the two main currents of mathematics, the continuous and the discrete. Such fundamental notions in discrete mathematics as induction, recursion, combinatorics, number theory, discrete probability, and the algorithmic point of view as a unifying principle are continually explored as they interact with traditional calculus. The book is addressed primarily to well-trained calculus students and those who teach them, but it can also serve as a supplement in a traditional calculus course for anyone who wants to see more. The problems, taken for the most part from probability, analysis, and number theory, are an integral part of the text. There are over 400 problems presented in this book.

Reviews provided by Syndetics

CHOICE Review

Few students of calculus acquire even a rudimentary appreciation for the beauty of the subject. The time allotted to its study is utilized in a more-or-less frantic attempt to grasp just enough knowledge to pass the next exam. Hence, the opportunity is missed to view the pervasive but subtle aesthetics of calculus and its many connections to other branches of mathematics. Young provides ample material for any student or teacher of calculus to sharpen his or her insight into the surprisingly diverse ways in which the subject impinges on the realm of discrete mathematics. Many examples are given from number theory, combinatorics, and probability theory. Challenging problems form an important part of the book, making it an excellent source of projects for well-motivated students. The list of 463 references is a valuable aid for those who wish to dig deeper. Recommended for undergraduates. F. Dristy; SUNY College at Oswego