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Gateway to Complex Analysis
In this world, two realities produce inexpressible awe in me. One is the starry heaven and the other is moral conscience in Man. During the night, when I behold star- studded heaven, my mind Who thou art playfully creating worlds and keeping them on their path. How supreme Thou art and how trivial I am. When I ponder over the chasm between the Supreme and my insignificant being, I am struck with awe.”- Immanuel Kant
In Mathematics there is a perfect reality, a realm of God, of which our familiar world is but an imperfect reflection. Mathematics is the basis of Universe. Gateway to Complex Analysis is complex analysis for the beginners. Its aim is to introduce the knowledge of complex analysis, a powerful tool, to those who have no prior knowledge of this subject. The present book starts with the history and the applications of the complex analysis and reaching to classical Nevanlinna theory which occupies the central place in complex analysis and ending with the application of Nevanlinna theory in Difference operators. The concepts are presented in an informal and conceptual style rather than in conventional definition or proof format. The author invites suggestions which could be considered for the improvement of the subsequent editions of this work.
Complex analysis is an extremely useful and beautiful part of mathematics and forms the basis of many techniques employed in many branches of mathematics and physics. We have provided the notions of derivatives and integrals, familiar from calculus, to the case of complex functions of a complex variable.
Today we have discovered a powerful and elegant way to understand the Universe. The methods involved are indissolubly bound up with Mathematics and Sciences. Mathematics is a delight because it initially enabled us to count different articles and various entities. It took mankind ages to understand zero and more than 11/2 thousand years to measure infinitesimally small quantities. Stupendous collective labour of mankind has enabled us to acquire mastery in conquering space and produce goods and materials which makes life a delightful & of meaningful significance.
Dr. (Mrs.) Raj Shree Dhar
In Mathematics there is a perfect reality, a realm of God, of which our familiar world is but an imperfect reflection. Mathematics is the basis of Universe. Gateway to Complex Analysis is complex analysis for the beginners. Its aim is to introduce the knowledge of complex analysis, a powerful tool, to those who have no prior knowledge of this subject. The present book starts with the history and the applications of the complex analysis and reaching to classical Nevanlinna theory which occupies the central place in complex analysis and ending with the application of Nevanlinna theory in Difference operators. The concepts are presented in an informal and conceptual style rather than in conventional definition or proof format. The author invites suggestions which could be considered for the improvement of the subsequent editions of this work.
Complex analysis is an extremely useful and beautiful part of mathematics and forms the basis of many techniques employed in many branches of mathematics and physics. We have provided the notions of derivatives and integrals, familiar from calculus, to the case of complex functions of a complex variable.
Today we have discovered a powerful and elegant way to understand the Universe. The methods involved are indissolubly bound up with Mathematics and Sciences. Mathematics is a delight because it initially enabled us to count different articles and various entities. It took mankind ages to understand zero and more than 11/2 thousand years to measure infinitesimally small quantities. Stupendous collective labour of mankind has enabled us to acquire mastery in conquering space and produce goods and materials which makes life a delightful & of meaningful significance.
Dr. (Mrs.) Raj Shree Dhar
141 pages, Kindle Edition
Published June 20, 2022
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