Complex Analysis and Special Functions: Cauchy Formula, Elliptic Functions and Laplace's Method by Serov, Valery

Complex Analysis and Special Functions: Cauchy Formula, Elliptic Functions and Laplace's Method (Paperback) (ISBN-13: 9783111632117)

Vendor: Valery Serov
Product type: Books
Format: Paperback
$104.99
$104.99
$104.99
Subtotal: $104.99
Complex Analysis and Special Functions: Cauchy Formula, Elliptic Functions and Laplace's Method by Serov, Valery

Complex Analysis and Special Functions: Cauchy Formula, Elliptic Functions and Laplace's Method

$104.99
Complex Analysis and Special Functions: Cauchy Formula, Elliptic Functions and Laplace's Method by Serov, Valery

Complex Analysis and Special Functions: Cauchy Formula, Elliptic Functions and Laplace's Method

$104.99
Format: Paperback
Description
Description
x

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.



Author: Valery Serov, Markus Harju
ISBN-10: 3111632113
ISBN-13: 9783111632117
Publisher: de Gruyter
Language: English
Published: 01/27/2025
Pages: 362
Format: Paperback
Weight: 1.27lbs
Size: 9.61h x 6.69w x 0.75d
By Valery Serov
By Valery Serov
x

Dr. Valery Serov is professor emeritus of applied mathematics at University of Oulu, Finland. He is highly experienced scholar who has taught extensively many courses on partial differential equations, Fourier analysis, spectral theory, complex analysis and more. His research interests are mostly devoted to inverse scattering and inverse spectral problems. He has authored two textbooks earlier and his extensive list of publications contains more than 100 papers.

PhD Markus Harju holds a docentship on applied mathematics at University of Oulu, Finland. He is an experienced educator who is currently teaching engineering mathematics at the undergraduate level. His research interest fall under inverse scattering problems but he also works on numerical and applied mathematics met in engineering and medical disciplines.

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