[Pdf/ePub] Functions of a Complex Variable by

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

• Functions of a Complex Variable
• Hemant Kumar Pathak, Ravi Agarwal, Yeol Je Cho
• Page: 742
• Format: pdf, ePub, mobi, fb2
• ISBN: 9781498720151
• Publisher: Taylor & Francis

Functions of a Complex Variable

Books in epub format download 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.

The Linear Functions of a Complex Variable - JStor
of the linear functions of a complex variable from a geometrical stand-point. On the part of the reader I have assumed only a knowledge of the ordinary  Several complex variables - Wikipedia, the free encyclopedia
To prove (ii) → (i) one uses Cauchy's integral formula on the n-multiple disc for several complex variables  The mean value theorem and analytic functions of a complex variable
The mean value theorem for real-valued differentiable functions defined on an interval is one of the most fundamental results in Analysis. When it comes to  Chapter 2 Functions of a Complex Variable
25. Chapter 2. Functions of a Complex Variable. Basic concepts. Let S denote a nonempty set of points in the complex z-plane. If there exists a rule f. Part I: Complex Variables, Lec 5: Integrating Complex Functions
Mar 29, 2012 - 35 min - Uploaded by MIT OpenCourseWarePart I: Complex Variables, Lecture 5: Integrating Complex Functions Instructor: Herbert Gross

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