Mathematical Analysis

A remarkable interplay exists between the fields of elliptic functions and orthogonal polynomials. In the first monograph to explore their connections, Elliptic Polynomials combines these two areas of study, leading to an interesting development of some of the basic aspects of each. Although some of..

This is a textbook for an introductory course in analysis, combining topics from a transition course. At some schools, a transition course is combined over one or two semesters to introduce topics from real analysis. This allows students a more gradual approach to the difficult topics of analysis. B..

Functional Analysis in Applied Mathematics and Engineering focuses on material useful to control specialists working in the disciplines of electrical, mechanical, and aerospace engineering. It begins with a rigorous introduction to the abstract basic function spaces and operators, then studies probl..

Functional Analysis, Holomorphy, and Approximation Theory..

This text provides all the material for a course on the theory of functions of a complex variable at the senior undergraduate and beginning graduate level. Also suitable for self-study, the book covers every topic essential to training students in complex analysis. It also incorporates special topic..

Geometry and Complex Variables..

Because of the numerous applications involved in this field, the theory of special functions is under permanent development, especially regarding the requirements for modern computer algebra methods. The Handbook of Special Functions provides in-depth coverage of special functions, which are used to..

Harmonic analysis plays an essential role in understanding a host of engineering, mathematical, and scientific ideas. Harmonic Analysis and Applications presents the analysis and synthesis of functions in terms of harmonics in a way that clearly demonstrates the vitality, power, elegance, usefulness..

Holomorphy and Calculus in Normed SPates..

This text gives readers the prerequisites and tools to understand the convergence, principal value, and evaluation of the improper/generalized Riemann integral. It also illustrates applications to science and engineering problems. The author uses powerful tools of real and complex analysis not only ..

Introduction to Holomorphic Functions of Several Variables, Volume I..

Introduction to Holomorphic Functions of Several Variables, Volume II..