Complex Integrals and Series

This chapter introduces the complex integral theorems. Despite their simplicity, these theorems are incredibly powerful and establish the basis of complex techniques in applied mathematics. Using analytic continuation, the chapter shows how these theorems can be used to evaluate some of the frequent...

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Vydané v:	Mathematical Methods in Science and Engineering s. 1
Hlavný autor:	Bayin, Selcuk S
Médium:	Kapitola
Jazyk:	English
Vydavateľské údaje:	United States John Wiley & Sons 2018 John Wiley & Sons, Incorporated John Wiley & Sons, Inc
Vydanie:	2nd Edition
Predmet:	analytic continuation applied mathematics beta function complex integral representations complex integral theorems Engineering Principles General Engineering & Project Administration harmonic functions Laurent series residue theorem Taylor series
ISBN:	9781119425397, 1119425395
On-line prístup:	Získať plný text
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Obsah:

12.1 Complex Integral Theorems 12.2 Taylor Series 12.3 Laurent Series 12.4 Classification of Singular Points 12.5 Residue Theorem 12.6 Analytic Continuation 12.7 Complex Techniques in Taking Some Definite Integrals 12.8 Gamma and Beta Functions 12.9 Cauchy Principal Value Integral 12.10 Integral Representations of Special Functions Bibliography Problems