Complex Integration: A Compendium of Smart and Little-Known Techniques for Evaluating Integrals and Sums

This book proposes techniques for evaluating difficult integrals and sums using complex integration, which are not commonly taught in undergraduate courses. The techniques are based on nine years of providing solutions to calculus problems on forums, and the book aims to provide an eye-opening experience for computation enthusiasts.

Format: Paperback / softback
Length: 239 pages
Publication date: 14 February 2023
Publisher: Springer International Publishing AG

Integrals and sums are not commonly regarded for evaluation through complex integration. This book offers techniques that primarily employ complex integration, differing significantly from those in existing texts. These techniques, typically taught in Complex Analysis courses to undergraduate students with two semesters of calculus, are often confined to a limited set of problems.

Few practitioners consider complex integration as a tool for computing challenging integrals. While there are numerous books available that offer tutorials on this subject, the existing texts in this field primarily focus on real methods. Consequently, this book presents a novel approach for computation enthusiasts accustomed to relying on clever substitutions and transformations to evaluate integrals and sums.

The book is the culmination of nine years of providing solutions to difficult calculus problems on forums such as Math Stack Exchange or the author's website, residuetheorem.com. It serves as a comprehensive guide for enthusiastic mathematics undergraduates, as well as physics or engineering graduate students, in mastering the art and science of evaluating challenging integrals, sums, and products.

Weight: 403g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031242274
Edition number: 1st ed. 2023