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Könyv Complex Analysis and Special Functions Valery Serov

Complex Analysis and Special Functions

Cauchy Formula, Elliptic Functions and Laplace's Method

Szerző: Valery Serov, Markus Harju
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: De Gruyter
Elérhetőség: Beszállítói készleten
Küldés 9-15 napon belül
29 633 Ft
The first two parts of this book focus on developing standard analysis concepts in the extended comp...

Információk a könyvről

Szerző
Valery Serov, Markus Harju
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2025
oldal
350
EAN
9783111632117
Enbook ID
46875035
Kiadó
De Gruyter
Súly
611
Méretek
170 x 240

Teljes leírás

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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