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
Best ebook download Functions of a Complex Variable by Hemant Kumar Pathak, Ravi Agarwal, Yeol Je Cho 9781498720151 (English literature)
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.
Selected Topics in the Classical Theory of Functions of a Complex
Elegant and concise, this text is geared toward advanced undergraduate students acquainted with the theory of functions of a complex variable. The treatment
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Functions of a Complex Variable - CRC Press Book
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
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Amazon.com. *FREE* shipping on qualifying offers. Functions of a complex variable are used to solve applications in various branches of mathematics, science.
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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
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TOPOLOGICAL METHODS IN THE THEORY OF FUNCTIONS OF A
of functions of a complex variable is appropriate. The modern theory of meromorphic functions has distinguished itself by the fruitful use of the instruments of
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Track Description: Herb Gross discusses functions of a complex variable, limits, derivatives and the Cauchy-Riemann conditions. Functions of a complex
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