Undergraduate Lecture Notes in Physics Ser.: Complex Integration : A Compendium
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Undergraduate Lecture Notes in Physics Ser.: Complex Integration : A Compendium
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- Artikelzustand
- ISBN
- 9783031242274
Über dieses Produkt
Product Identifiers
Publisher
Springer International Publishing A&G
ISBN-10
3031242270
ISBN-13
9783031242274
eBay Product ID (ePID)
24058368721
Product Key Features
Number of Pages
Xviii, 239 Pages
Publication Name
Complex Integration : A Compendium of Smart and Little-Known Techniques for Evaluating Integrals and Sums
Language
English
Subject
General, Physics / Mathematical & Computational, Mathematical Analysis, Complex Analysis
Publication Year
2023
Type
Textbook
Subject Area
Mathematics, Science
Series
Undergraduate Lecture Notes in Physics Ser.
Format
Trade Paperback
Dimensions
Item Weight
14.2 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Dewey Edition
23
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
515.43
Table Of Content
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.
Synopsis
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., 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.
LC Classification Number
QC19.2-20.85
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