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Title: :  A BRIEF VIEW ABOUT COMPLEX ANALYSIS IN MATHEMATICS
PaperId: :  21342
Published in:   International Journal Of Advance Research And Innovative Ideas In Education
Publisher:   IJARIIE
e-ISSN:   2395-4396
Volume/Issue:    Volume 8 Issue 3 2022
DUI:    16.0415/IJARIIE-21342
Licence: :   IJARIIE is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author NameAuthor Institute
SWETHA.T.M.GOVERNEMENT FIRST GRADE COLLEGE TARIKERE-577228

Abstract

MATHEMATICS
SPHERICAL REPRESENTATION AND STEREOGRAPHIC PROJECTION, COMPLEX ANALYTIC FUNCTION, COMPLEX DIFFERENTIATION, GENERATING FUNCTIONS, FIBONACCI NUMBERS, CONFORMAL MAPPINGS, BILINEAR TRANSFORMATIONS, COMPLEX INTEGRATION, CAUCHY’S THEOREM
Complex analysis, in particular the theory of conformal mappings, has many physical applications and is also used throughout analytic number theory. A complex function is a function from complex numbers to complex numbers. In other words, it is a function that has a subset of the complex numbers as a domain and the complex numbers as a codomain. Complex functions are generally supposed to have a domain that contains a nonempty open subset of the complex plane. Complex Analysis, is divided into four blocks, which are further subdivided into fourteen units. This book provides a basic understanding of the subject and helps to grasp its fundamentals. In a nutshell, it explains various aspects, such as complex numbers, geometric representation of a complex number, the spherical representation and stereographic projection, complex analytic function, complex differentiation, the Cauchy-Riemann equations, orthogonal trajectories and harmonic functions, Milne-Thomson method, power series, radius of convergence, Complex analysis is full of amazingly beautiful theorems that have no analogue in standard calculus. For instance, if you know the value of a real-valued function on some circle in the plane, that is not enough to determine its value at any point in the interior. Yet, for complex differentiable functions, this is sufficient, thanks to the delightful.

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IJARIIE SWETHA.T.M.. "A BRIEF VIEW ABOUT COMPLEX ANALYSIS IN MATHEMATICS" International Journal Of Advance Research And Innovative Ideas In Education Volume 8 Issue 3 2022 Page 5616-5624
MLA SWETHA.T.M.. "A BRIEF VIEW ABOUT COMPLEX ANALYSIS IN MATHEMATICS." International Journal Of Advance Research And Innovative Ideas In Education 8.3(2022) : 5616-5624.
APA SWETHA.T.M.. (2022). A BRIEF VIEW ABOUT COMPLEX ANALYSIS IN MATHEMATICS. International Journal Of Advance Research And Innovative Ideas In Education, 8(3), 5616-5624.
Chicago SWETHA.T.M.. "A BRIEF VIEW ABOUT COMPLEX ANALYSIS IN MATHEMATICS." International Journal Of Advance Research And Innovative Ideas In Education 8, no. 3 (2022) : 5616-5624.
Oxford SWETHA.T.M.. 'A BRIEF VIEW ABOUT COMPLEX ANALYSIS IN MATHEMATICS', International Journal Of Advance Research And Innovative Ideas In Education, vol. 8, no. 3, 2022, p. 5616-5624. Available from IJARIIE, https://ijariie.com/AdminUploadPdf/A_BRIEF_VIEW_ABOUT_COMPLEX_ANALYSIS_IN_MATHEMATICS_ijariie21342.pdf (Accessed : ).
Harvard SWETHA.T.M.. (2022) 'A BRIEF VIEW ABOUT COMPLEX ANALYSIS IN MATHEMATICS', International Journal Of Advance Research And Innovative Ideas In Education, 8(3), pp. 5616-5624IJARIIE [Online]. Available at: https://ijariie.com/AdminUploadPdf/A_BRIEF_VIEW_ABOUT_COMPLEX_ANALYSIS_IN_MATHEMATICS_ijariie21342.pdf (Accessed : )
IEEE SWETHA.T.M., "A BRIEF VIEW ABOUT COMPLEX ANALYSIS IN MATHEMATICS," International Journal Of Advance Research And Innovative Ideas In Education, vol. 8, no. 3, pp. 5616-5624, May-Jun 2022. [Online]. Available: https://ijariie.com/AdminUploadPdf/A_BRIEF_VIEW_ABOUT_COMPLEX_ANALYSIS_IN_MATHEMATICS_ijariie21342.pdf [Accessed : ].
Turabian SWETHA.T.M.. "A BRIEF VIEW ABOUT COMPLEX ANALYSIS IN MATHEMATICS." International Journal Of Advance Research And Innovative Ideas In Education [Online]. volume 8 number 3 ().
Vancouver SWETHA.T.M.. A BRIEF VIEW ABOUT COMPLEX ANALYSIS IN MATHEMATICS. International Journal Of Advance Research And Innovative Ideas In Education [Internet]. 2022 [Cited : ]; 8(3) : 5616-5624. Available from: https://ijariie.com/AdminUploadPdf/A_BRIEF_VIEW_ABOUT_COMPLEX_ANALYSIS_IN_MATHEMATICS_ijariie21342.pdf
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