Complex Analysis and Special Functions

Name: Complex Analysis and Special Functions
Brand: De Gruyter
SKU: 9783111632117
Price: 1722 CZK
Availability: InStock

Cauchy Formula, Elliptic Functions and Laplace's Method

Autor: Valery Serov, Markus Harju

Jazyk:

Vazba: Brožovaná

Vydavatel: De Gruyter

Dostupnost: Skladem u dodavatele

Odesíláme za 9-15 dnů

1 722 Kč

The first two parts of this book focus on developing standard analysis concepts in the extended comp...

Informace o knize

Autor

Valery Serov, Markus Harju

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2025

Stránek

350

EAN

9783111632117

Enbook ID

46875035

Vydavatel

De Gruyter

Hmotnost

611

Rozměry

170 x 240

Kompletní popis

The first two parts of this book focus on developing standard analysis concepts in the extended complex plane. We cover differentiation and integration of functions of one complex variable. Famous Cauchy formulas are established and applied in the frame of residue theory. Taylor series is used to investigate analytic functions, and they are connected to harmonic functions. Laurent series theory is developed.

The third part of the book finds applications of the earlier chapter in conformal mappings and the Laplace transform. Special functions solving ordinary differential equations are studied extensively, along with their asymptotic behavior. A highlight of the book is the elliptic function of Weierstrass and Jacobi. Finally, we present Laplace's method, which is applied to find large arguments asymptotic of some special functions.

The book is filled with examples, exercises, and problems of varying degrees of difficulty. This makes it useful to all students in mathematics, physics, and related fields.

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Complex Analysis and Special Functions

Cauchy Formula, Elliptic Functions and Laplace's Method

Informace o knize

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