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

Ebooks txt download Functions of a Complex Variable by Hemant Kumar Pathak, Ravi Agarwal, Yeol Je Cho 9781498720151 MOBI

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  • 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




Ebooks txt download Functions of a Complex Variable by Hemant Kumar Pathak, Ravi Agarwal, Yeol Je Cho 9781498720151 MOBI

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.

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 Functions of One Complex Variable - Springer
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This is an advanced undergraduate course dealing with calculus in one complex variable with geometric emphasis. Since the course Analysis I (18.100B) is a  Amazon.com: Geometric Theory of Functions of a Complex Variable
Amazon.com: Geometric Theory of Functions of a Complex Variable ( Translations of Mathematical Monographs) (9780821815762): G. M. Goluzin: Books. MATH 4180 - Introduction to the Theory of Functions of One
MATH 4180 - Introduction to the Theory of Functions of One Complex Variable. ( MQR). Spring. 4 credits. Forbidden Overlap: Students may not receive credit for 

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