Titlebook: Complex Analysis; Joseph Bak,Donald J. Newman Textbook 2010Latest edition Springer Science+Business Media, LLC 2010 Analysis.Complex analy

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Further Properties of Analytic Functions,osition 3.7, |.| cannot be constant. Thus a non-constant analytic function cannot map an open set into a point or a circular arc. By applying the Maximum-Modulus Theorem, we can derive the following sharper result on the mapping properties of an analytic function.

interference

Maximum-Modulus Theorems for Unbounded Domains,eral, if we consider unbounded domains, the theorem no longer holds. For example, . is analytic and unbounded in the right half-plane despite the fact that on the boundary .. Nevertheless, given certain restrictions on the growth of the function, we can conclude that it attains its maximum modulus o

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Different Forms of Analytic Functions, trigonometric and exponential functions, alongwith their inverse functions. In this chapter, we consider three different ways of representing analytic functions. We begin with infinite products and then take a closer look at functions defined by definite integrals, a topic touched upon earlier in C

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Applications to Other Areas of Mathematics,matics. In this chapter we will get some insight into the fantastic breadth of such applications. For that reason, the topics chosen are rather disparate. Section 19.1 involves calculating the total variation of a real function, and illustraties how the methods of Chapter 11 can be applied to yet an

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Introduction to Landscapes and Landforms of Iran,al, climatologic, biologic, and cultural diversities. For example, though it is located in the hot spot of the world in the Lut Desert, several parts of highlands in Alborz and Zagros Mountains experience below zero temperature in the summer. Sedimentary-structural units and climate conditions confi