
Complex Variables and their Applications
Anthony Osborne(Author)
Addison Wesley (Publisher)
Published on 23. September 1998
Book
Paperback/Softback
464 pages
978-0-201-34290-1 (ISBN)
Description
An understanding of functions of a complex variable, together with the importance of their applications, form an essential part of the study of mathematics. Complex Variables and their Applications assumes as little background knowledge of the reader as is practically possible, a sound knowledge of calculus and basic real analysis being the only essential pre-requisites.
With an emphasis on clear and careful explanation, the book covers all the essential topics covered in a first course on Complex Variables, such as differentiation, integration and applications, Laurent series, residue theory and applications, and elementary conformal mappings. The reader is also introduced to the Schwarz-Christoffel transformation, Dirchlet problems, harmonic functions, analytic continuation, infinite products, asymptotic series and elliptic functions. Applications of complex variable theory to linear ordinary differential equations and integral transforms are also included.
Complex Variables and their Applications is an ideal textbook and resource for second and final year students of mathematics, engineering and physics.
With an emphasis on clear and careful explanation, the book covers all the essential topics covered in a first course on Complex Variables, such as differentiation, integration and applications, Laurent series, residue theory and applications, and elementary conformal mappings. The reader is also introduced to the Schwarz-Christoffel transformation, Dirchlet problems, harmonic functions, analytic continuation, infinite products, asymptotic series and elliptic functions. Applications of complex variable theory to linear ordinary differential equations and integral transforms are also included.
Complex Variables and their Applications is an ideal textbook and resource for second and final year students of mathematics, engineering and physics.
More details
Series
Language
English
Place of publication
Harlow
United Kingdom
Publishing group
Pearson Education Limited
Target group
Professional and scholarly
Dimensions
Height: 235 mm
Width: 174 mm
Thickness: 25 mm
Weight
800 gr
ISBN-13
978-0-201-34290-1 (9780201342901)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Content
Functions of a Complex.
Differentiation and the Cauchy-Riemann Equations.
Integration, Cauchy's Theorems and Related Results.
Infinite Series, Taylor Series and Laurent Series.
The Residue Theorems and its Applications.
Conformal Transformations.
Linear Ordinary Differential.
Fourier and Laplace Transforms.
Laplace's Equations and Other Partial Differential Equations.
Analytical Functions.
Elliptic Functions.
Differentiation and the Cauchy-Riemann Equations.
Integration, Cauchy's Theorems and Related Results.
Infinite Series, Taylor Series and Laurent Series.
The Residue Theorems and its Applications.
Conformal Transformations.
Linear Ordinary Differential.
Fourier and Laplace Transforms.
Laplace's Equations and Other Partial Differential Equations.
Analytical Functions.
Elliptic Functions.