Complex integration : a compendium of smart and little-known techniques for evaluating integrals and sums / Ron Gordon.

Unlimited

Authorized users

Can lend chapters, not whole ebooks

Complex integration : a compendium of smart and little-known techniques for evaluating integrals and sums / Ron Gordon.

9783031242281 (electronic bk.)
3031242289 (electronic bk.)
3031242270
9783031242274

Cham, Switzerland : Springer, 2023.

English

1 online resource (239 pages) : illustrations (black and white, and colour).

10.1007/978-3-031-24228-1 doi

QA308

515/.43

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.

Access limited to authorized users.

Description based on print version record.

Undergraduate lecture notes in physics.

Online Resources > Ebooks
All Resources