Title
Complex Integration [electronic resource] : A Compendium of Smart and Little-Known Techniques for Evaluating Integrals and Sums / by Ron Gordon.
Publication
Cham : Springer International Publishing : Imprint: Springer, 2023.
Physical Description
1 online resource (XVIII, 239 p.) 36 illus., 3 illus. in color.
Local Notes
Access is available to the Yale community.
Access and use
Access restricted by licensing agreement.
Summary
Integrals and sums are not generally considered for evaluation using complex integration. This book proposes techniques that mainly use complex integration and are quite different from those in the existing texts. Such techniques, ostensibly taught in Complex Analysis courses to undergraduate students who have had two semesters of calculus, are usually limited to a very small set of problems. Few practitioners consider complex integration as a tool for computing difficult integrals. While there are a number of books on the market that provide tutorials on this subject, the existing texts in this field focus on real methods. Accordingly, this book offers an eye-opening experience for computation enthusiasts used to relying on clever substitutions and transformations to evaluate integrals and sums. The book is the result 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 to detail to the enthusiastic mathematics undergraduate, or the physics or engineering graduate student, the art and science of evaluating difficult integrals, sums, and products.
Variant and related titles
Springer ENIN.
Other formats
Printed edition:
Printed edition:
Added to Catalog
February 22, 2023
Series
Undergraduate Lecture Notes in Physics,
Contents
Review of Foundational Concepts
Evaluation of Definite Integrals I: The Residue Theorem and Friends
Evaluation of Definite Integrals II: Applications to Various Types of Integrals
Cauchy Principal Value
Integral Transforms
Asymptotic Methods.
Also listed under
SpringerLink (Online service)