The Art of Proving: Algorithmic and Visual Approaches in Discrete Mathematics

The view of discrete mathematics has evolved from a course in pure mathematics to a preparatory course for programming-related topics. There is an emphasis on explaining concepts using intuitive terms, to look at mathematical statements visually, to reach audiences with varied learning abilities, and to encourage programming at a younger age. This book offers analysis of problems, many solutions, and techniques that are difficult to find in a single traditional textbook. The chapter on GEMS will captivate you - gold nuggets!Richard and Dean have a specific vision for this book, providing the use of graphics and programming in mathematical problem-solving. This is not a replacement for a traditional textbook but serves as a useful supplement to any mathematics course. Who could use this book?•Undergraduates•Pre-service teachers and in-service teachers•Computer science faculty•Discrete mathematics instructors•Instructors of mathematics applications courses•Amateur mathematiciansPrimary features include:•Easy and fun to read - take it to the beach!•Demonstrating proofs in an intuitive way •Involving graphics, visuals, and varied solutions•Problems explained and solved using Python programming•Viewing problems and solutions from dual perspectives•Independent of topics chosen