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portada Functions of a Complex Variable
Type
Physical Book
Author
Publisher
Language
English
Pages
718
Format
Hardcover
Dimensions
23.4 x 16.0 x 4.1 cm
Weight
1.02 kg.
ISBN13
9781498720151
Categories

Functions of a Complex Variable

Yeol Je Cho (Author) · Hemant Kumar Pathak (Author) · Ravi Agarwal (Author) · CRC Press · Hardcover

Functions of a Complex Variable - Pathak, Hemant Kumar ; Agarwal, Ravi ; Cho, Yeol Je

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Synopsis "Functions of a Complex Variable"

Functions of a Complex Variable provides all the material for a course on the theory of functions of a complex variable at the senior undergraduate and beginning graduate level. Also suitable for self-study, the book covers every topic essential to training students in complex analysis. It also incorporates special topics to enhance students' understanding of the subject, laying the foundation for future studies in analysis, linear algebra, numerical analysis, geometry, number theory, physics, thermodynamics, or electrical engineering.After introducing the basic concepts of complex numbers and their geometrical representation, the text describes analytic functions, power series and elementary functions, the conformal representation of an analytic function, special transformations, and complex integration. It next discusses zeros of an analytic function, classification of singularities, and singularity at the point of infinity; residue theory, principle of argument, Rouché's theorem, and the location of zeros of complex polynomial equations; and calculus of residues, emphasizing the techniques of definite integrals by contour integration. The authors then explain uniform convergence of sequences and series involving Parseval, Schwarz, and Poisson formulas. They also present harmonic functions and mappings, inverse mappings, and univalent functions as well as analytic continuation.

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