For those who are passionate about mathematics, there is a certain elegance in the interplay between the continuous and the discrete. Excursions in Calculus: An Interplay of the Continuous and the Discrete by Robert M. Young is a book that delves into this rich relationship, exploring fundamental notions in discrete mathematics such as induction, recursion, combinatorics, number theory, and discrete probability as they interact with traditional calculus.
This book is primarily aimed at calculus students and educators but can serve as a supplement for anyone wanting to deepen their understanding. With over 400 problems offered throughout the text, readers will have ample opportunity to hone their skills. So if you’re ready to take your calculus expertise to the next level, this book is an excellent place to start.