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Complex Analysis and Special Functions
Cauchy Formula, Elliptic Functions and Laplace's Method
Taschenbuch von Valery Serov (u. a.)
Sprache: Englisch

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Beschreibung
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.

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.

Details
Empfohlen (bis): 16
Empfohlen (von): 13
Erscheinungsjahr: 2025
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: VIII
354 S.
27 s/w Illustr.
27 b/w and 0 col. ill.
0 b/w and 0 col. tbl.
ISBN-13: 9783111632117
ISBN-10: 3111632113
Sprache: Englisch
Ausstattung / Beilage: Großformatiges Paperback. Klappenbroschur
Autor: Serov, Valery
Harju, Markus
Hersteller: De Gruyter
Verantwortliche Person für die EU: Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, D-10785 Berlin, productsafety@degruyterbrill.com
Abbildungen: 27 b/w and 0 col. ill., 0 b/w and 0 col. tbl.
Maße: 20 x 170 x 240 mm
Von/Mit: Valery Serov (u. a.)
Erscheinungsdatum: 27.01.2025
Gewicht: 0,611 kg
Artikel-ID: 131032286
Details
Empfohlen (bis): 16
Empfohlen (von): 13
Erscheinungsjahr: 2025
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: VIII
354 S.
27 s/w Illustr.
27 b/w and 0 col. ill.
0 b/w and 0 col. tbl.
ISBN-13: 9783111632117
ISBN-10: 3111632113
Sprache: Englisch
Ausstattung / Beilage: Großformatiges Paperback. Klappenbroschur
Autor: Serov, Valery
Harju, Markus
Hersteller: De Gruyter
Verantwortliche Person für die EU: Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, D-10785 Berlin, productsafety@degruyterbrill.com
Abbildungen: 27 b/w and 0 col. ill., 0 b/w and 0 col. tbl.
Maße: 20 x 170 x 240 mm
Von/Mit: Valery Serov (u. a.)
Erscheinungsdatum: 27.01.2025
Gewicht: 0,611 kg
Artikel-ID: 131032286
Sicherheitshinweis