Advances in Complex Analysis and Applications
- 170 pages
- English
- PDF
- Available on iOS & Android
Advances in Complex Analysis and Applications
About this book
The complex analysis, also known as theory of analytic functions or complex variable function theory, is the part of mathematical analysis that investigates the functions of complex numbers, their analyticity, holomorphicity, and integration of these functions on complex domains that can be complex manifolds or submanifolds. Also the extensions of these domains to the complex projective spaces and complex topological groups are study themes. The analytic continuing of complex domains where complex series representations are used and the exploring of singularities whose integration invariants obtain values as zeros of certain polynomials of the complex rings of certain vector bundles are important in the exploring of new function classes in the meromorphic context and also arithmetic context. Also important are established correspondences with complex vector spaces, or even in their real parts, using several techniques of complex geometrical analysis, Nevanlinna methods, and other techniques as the modular forms. All this is just some examples of great abundance of the problems in mathematics research that require the complex analysis application. This book covers some interesting and original research of certain topics of complex analysis. Also included are some applications for inverse and ill posed problems developed in engineering and applied research.
Frequently asked questions
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Information
Table of contents
- Advances in Complex Analysis and Applications
- Contents
- Preface
- Section 1 - Introductory Section
- Chapter 1 - Introductory Chapter: Frontiers and Future Developments of the Complex Analysis
- Section 2 - Complex Functions and Some of Their Functional Transforms
- Chapter 2 - Interference Pattern Representation on the Complex s-Plane
- Chapter 3 - Inverse Scattering Source Problems
- Chapter 4 - Solution Methods of Large Complex-Valued Nonlinear System of Equations
- Section 3 - Advanced Complex Analysis and Geometry Studies
- Chapter 5 - Variable Exponent Spaces of Analytic Functions
- Chapter 6 - Integral Geometry and Cohomology in Field Theory on the Space-Time as Complex Riemannian Manifold
- Section 4 - Complex Functional Transforms and Their Applications
- Chapter 7 - Extracting Coherent Structures in Near-Wall Turbulence Based on Wavelet Analysis
- Chapter 8 - An Efficient Approach Based on the Near-Field Technique to Solve EMI Problems: Application to an AC/DC Flyback Converter
- Chapter 9 - Mathematical Fundamentals of a Diagnostic Methodby Long Nonlinear Waves for the Structured Media