Abstract
In this chapter, we discuss essentially the difference between theory of functions of one complex variable and theory of functions of several complex variables. The purpose of this chapter is not to teach this subject; instead, it is to let the reader understand complex analysis better through some of the main theorems on complex analysis of several variables. The main two theorems of function theory of several complex variables—Poincaré Theorem and Hartogs Theorem—are discussed.
Mathematics is the art of giving the same name to different things
Jules Henri Poincaré
Find your self-respect now. Don’t dumb yourselves down. Think of yourself as capable and worthy of finding a guy who is going to respect you, too. It’s so important, I mean, and the confidence you get from feeling smart and tackling something like mathematics, which is a challenge, right? Math is hard
Danica McKellar
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- 1.
Henri Poincaré (1854–1912) was one of the greatest scientists of his time, perhaps the last one to have mastered and expanded almost all areas in mathematics and theoretical physics. He created new mathematical branches, such as algebraic topology, dynamical systems, and automorphic functions, and he opened the way to complex analysis with several variables and to the modern approach to asymptotic expansions. He revolutionized celestial mechanics, discovering deterministic chaos. In physics, he is one of the fathers of special relativity, and his work in the philosophy of sciences is illuminating.
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Pathak, H.K. (2019). Function Theory of Several Complex Variables. In: Complex Analysis and Applications. Springer, Singapore. https://doi.org/10.1007/978-981-13-9734-9_15
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DOI: https://doi.org/10.1007/978-981-13-9734-9_15
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