# CSIR NET Solution Of Complex Analysis By P Kalika

Here, We provided to CSIR NET Solution Of Complex Analysis By P Kalika. Complex analysis is a beautiful, tightly integrated subject. It revolves around complex analytic functions. These are functions that have a complex derivative. Unlike calculus using real variables, the mere existence of a complex derivative has strong implications for the properties of the function. Complex analysis is a basic tool in many mathematical theories. By itself and through some of these theories it also has a great many practical applications. The main theorems are Cauchy’s Theorem, Cauchy’s integral formula, and the existence of Taylor and Laurent series. Among the applications will be harmonic functions, two-dimensional fluid flow, easy methods for computing (seemingly) hard integrals, Laplace transforms, and Fourier transforms with applications to engineering and physics.

Complex numbers are the numbers that are expressed in the form of a+ib where i is an imaginary number called iota and has the value of (√-1). For example, 2+3i is a complex number, where 2 is a real number and 3i is an imaginary number. Therefore, the combination of both the real number and imaginary number is a complex number. The main application of these numbers is to represent periodic motions such as water waves, alternating current, light waves, etc., which rely on sine or cosine waves, etc. There are certain formulas that are used to solve the problems based on complex numbers. Also, the mathematical operations such as addition, subtraction, and multiplication are performed on these numbers.

#### Table of Contest:

• Complex Numbers
• Complex Functions
• Elementary Functions
• Integration
• Cauchy’s Theorem
• More Integration
• Harmonic Functions
• Series
• Taylor and Laurent Series
• Poles, Residues, and All That
• Argument Principle

CSIR NET Solution Of Complex Analysis By P Kalika is intended both as an introductory text and as a reference book for those interested in studying several complex variables in the context of the partial differential equations. CSIR NET Solution Of Complex Analysis By P Kalika gives an up-to-date account of the theories for these equations and their applications. The authors provide a systematic study of the Cauchy-Riemann. This self-contained book provides a much needed introductory text to several complex variables and partial differential equations. It is also a rich source of information for experts.

CSIR NET Solution Of Complex Analysis By P Kalika adheres to the latest syllabus as proposed by U.G.C. and all other major universities across the country. All the chapters have been organized by the team of expert mathematics teachers. Each of them beautifully illuminates the approach you will find in these books. The book starts with the basics of mathematics making it suitable for those with little background in mathematics. The book is a good size covering all the essential topics to adequate depth.

It covers topics similar to other books targeted at the same audience. This is a book that is designed to cover the basics thoroughly and then move on. Each page of these books is packed with direction, examples, and a world of understanding. CSIR NET Solution Of Complex Analysis By P Kalika is excellent support and resource for the teacher.

CSIR NET Solution Of Complex Analysis By P Kalika is an outstanding resource for anyone interested in knowing more about the art of teaching. CSIR NET Solution Of Complex Analysis By P Kalika is essential for students studying in various universities and colleges. CSIR NET Solution Of Complex Analysis By P Kalika is well written and easy to follow chapters in many different areas. The layout and style are cleverly designed to keep you working through the chapters. As a reminder of useful techniques, CSIR NET Solution Of Complex Analysis By P Kalika is definitely valuable.

#### BOOK INFO

BOOK NAME – CSIR NET SOLUTION OF COMPLEX ANALYSIS

AUTHOR – P KALIKA

YEAR – DECEMBER-2014 TO 2019

SIZE – 30.5MB

PAGES – 107

CSIR NET Solution Of Complex Analysis By P Kalika is very helpful for the aspirants of CSIR UGC NET Mathematics, IIT JAM Mathematics, GATE mathematics, NBHM, TIFR, and all different tests with a similar syllabus. CSIR NET Solution Of Complex Analysis By P Kalika is designed for the students who are making ready for numerous national degree aggressive examinations and additionally evokes to go into Ph. D. Applications by using manner of qualifying the numerous the front examination.

The series and series are elaborated in info and also the diverse techniques and formulas for checking their convergence are mentioned. The exercise sets are introduced at the end of the topics which includes the style of questions from preceding yr papers of CSIR UGC NET, IIT-JAM, TIFR, NBHM, and GATE. Those questions are carefully selected in order that the students can practice mathematical knowledge in solving the questions.

Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers.

It is useful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics; as well as in physics, including the branches of hydrodynamics, thermodynamics, and particularly quantum mechanics. By extension, the use of complex analysis also has applications in engineering fields such as nuclear, aerospace, mechanical, and electrical engineering.

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