The theory of functions of a complex variable plays an increasingly important part in the applications of mathematics to physical problems.

Section 1.1 (Page 4): 3,4, 5(a),6(b),7(c)8-16,18,22-23. Turn in: 22,23 Section 1.2 (Page 12): 3-5, 7(a)-(d), 8-11,13-14. Turn in: 7,13 Section 1.3 (Page 22): 2,5,6, 7 ...

This course will introduce you to the theory of functions of complex variables, which is a core area of mathematics. It is a basic tool in many mathematical theories. We will cover complex numbers and ...

Some Julia Sets Julia sets are defined by iterating a function (of a complex variable). Pick a point in the complex plane (i.e., a complex number; these can be represented as a point z= (x,y) in the ...

This paper is concerned with the determination of tight lower and upper bounds on the expectation of a convex function of a random variable. The classic bounds are those of Jensen and ...

I've a fair bit of complex C++ code that used to work, spring 2010. My how times change. Lemme illustrate: g++ --std=gnu++11 assign_complex.cc -o assign assign_complex.cc: In function ‘int main ...

The course will cover the fundamental concepts and methods in complex analysis. The basic objects of study in the course will be complex differentiable functions in domains, and the far-reaching ...

THIS pleasant and moderately priced little book forms an excellent introduction to the complex variable. It is written in a brisk and lucid style, and may be confidently recommended to students of ...

Jensen gave a lower bound to Eρ (T), where ρ is a convex function of the random vector T. Madansky has obtained an upper bound via the theory of moment spaces of multivariate distributions. In ...