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Complex integrationa compendium of smart and little-known techniques for evaluating integrals and sums /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Complex integrationby Ron Gordon.
Reminder of title:	a compendium of smart and little-known techniques for evaluating integrals and sums /
Author:	Gordon, Ron.
Published:	Cham :Springer International Publishing :2023.
Description:	xviii, 239 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Calculus, IntegralProblems, exercises, etc.
Online resource:	https://doi.org/10.1007/978-3-031-24228-1
ISBN:	9783031242281$q(electronic bk.)

Complex integrationa compendium of smart and little-known techniques for evaluating integrals and sums /
Gordon, Ron.

Complex integrationa compendium of smart and little-known techniques for evaluating integrals and sums /[electronic resource] :by Ron Gordon. - Cham :Springer International Publishing :2023. - xviii, 239 p. :ill., digital ;24 cm. - Undergraduate lecture notes in physics,2192-4805. - Undergraduate lecture notes in physics..

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.

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.

ISBN: 9783031242281$q(electronic bk.)

Standard No.: 10.1007/978-3-031-24228-1doiSubjects--Topical Terms:

944675
Calculus, Integral
--Problems, exercises, etc.

LC Class. No.: QA308 / .G67 2023

Dewey Class. No.: 515.43

Complex integrationa compendium of smart and little-known techniques for evaluating integrals and sums /
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520 $a 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.
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