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Book Details :
Published on: 2015-11-04
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Original language: English
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, Rouche’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. Lecture 2: Functions of a Complex Variable Part I ... Functions of a complex variable that are differentiable everywhere are called analytic functions. Subscribe to the OCW Newsletter: Help Contact Us . Find Courses. 2 Complex Functions and the Cauchy-Riemann Equations 2 Complex Functions and the Cauchy-Riemann Equations 2.1 Complex functions In one-variable calculus ... complex function we can de ne f(z)g(z) ... Functions of a Complex Variable Mathematics MIT ... This is an advanced undergraduate course dealing with calculus in one complex variable with ... Functions of a Complex Variable Functions ... Functions of a Complex Variable: Theory and Technique ... Functions of a Complex Variable: ... the theory of functions of a complex variable underlies a large number of enormously powerful ... Analytic Functions. pp ... Part I: Complex Variables Lec 2: Functions of a Complex Variable Part I: Complex Variables Lecture 2: Functions of a Complex Variable Instructor: ... Imaginary Numbers Functions of Complex Variables: 3D animations. Functions of a complex variable : MacRobert Thomas Murray ... ... Functions of complex variables ... Elements of the theory of functions of a complex variable with especial reference to the methods of Riemann. Complex analysis - Wikipedia Complex analysis traditionally known as the theory of functions of a complex variable is the branch of mathematical analysis that investigates functions of complex ... Chapter 2 Functions of a Complex Variable Functions of a Complex Variable Basic concepts ... To geometrically illustrate a function of a complex variable it is convenient to consider Function of a real variable - Wikipedia In mathematical analysis and applications in geometry applied mathematics engineering and natural sciences a function of a real variable is a function whose ... Functions of a complex variable. - Dr. N. Dana-Picard's ... 0. 1. Functions of a complex variable. TDP. This short tutorial is a companion material to the course on Functions of a Complex Variables . It is intended to help the ...
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