Mathematical Analysis and Applications: MAA 2020, Jamshedpur, India, November 2-4

The book collects original peer-reviewed contributions presented at the International Conference on Mathematical Analysis and Applications (MAA 2020), covering various areas of mathematical analysis and applications. It will be valuable to researchers and students in pure and applied mathematics.

Format: Paperback / softback
Length: 322 pages
Publication date: 24 March 2023
Publisher: Springer Verlag, Singapore

This book is a compilation of original peer-reviewed contributions presented at the International Conference on Mathematical Analysis and Applications (MAA 2020), organized by the Department of Mathematics, National Institute of Technology Jamshedpur, India, from November 2 to 4, 2020. The conference brought together experts from various fields of mathematical analysis to discuss and explore cutting-edge research in a wide range of areas.

Approximation Theory: Approximation theory plays a crucial role in mathematical analysis, and this book includes chapters that cover various aspects of this field. Topics covered include approximation by rational functions, spline functions, and other types of functions, as well as the theory of approximation by operators.

Operator Theory: Operator theory is a fundamental branch of mathematical analysis that deals with the study of operators and their properties. Chapters in this book explore topics such as linear operators, matrix operators, and operator algebras, as well as their applications in various fields.

Fixed-Point Theory: Fixed-point theory is a branch of mathematics that deals with the existence and uniqueness of solutions to equations and systems of equations. Chapters in this book explore various fixed-point theorems and their applications, including the theory of continuous mappings, compact operators, and the theory of semigroups.

Function Spaces: Function spaces are mathematical structures that provide a framework for studying functions and their properties. Chapters in this book cover various function spaces, including Banach spaces, Hilbert spaces, and Lp spaces, and their applications in mathematical analysis and engineering.

Complex Analysis: Complex analysis is a branch of mathematics that deals with the study of complex numbers and their properties. Chapters in this book explore topics such as complex functions, analytic functions, and the theory of complex manifolds, as well as their applications in physics and engineering.

Geometric and Univalent Function Theory: Geometric and univalent function theory is a branch of mathematical analysis that deals with the study of functions defined on geometric objects or univalent functions. Chapters in this book explore topics such as geometric analysis, differential geometry, and the theory of univalent functions, as well as their applications in computer science and engineering.

Control Theory: Control theory is a branch of mathematics that deals with the design and analysis of control systems. Chapters in this book explore topics such as feedback control, optimal control, and stability theory, as well as their applications in robotics, aerospace, and other fields.

Fractional Calculus: Fractional calculus is a branch of mathematics that deals with the study of functions that are defined on Riemann surfaces or other complex manifolds. Chapters in this book explore topics such as fractional differential equations, fractional integral equations, and the theory of fractional operators, as well as their applications in physics and engineering.

Special Functions: Special functions are mathematical functions that exhibit unusual behavior or have special properties. Chapters in this book cover various special functions, including Bessel functions, Legendre functions, and Laguerre functions, as well as their applications in physics, chemistry, and engineering.

Operation Research: Operation research is a branch of mathematics that deals with the design and analysis of systems and processes. Chapters in this book explore topics such as linear programming, integer programming, and optimization theory, as well as their applications in business, logistics, and other fields.

Theory of Inequalities: The theory of inequalities is a branch of mathematics that deals with the study of inequalities and their properties. Chapters in this book explore topics such as the theory of inequalities of arithmetic and geometric nature, the theory of partial differential equations, and the theory of optimization, as well as their applications in economics and engineering.

Equilibrium Problem: The equilibrium problem is a branch of mathematics that deals with the study of systems of equations and their stability. Chapters in this book explore topics such as the theory of linear systems, the theory of nonlinear systems, and the theory of control, as well as their applications in biology, physics, and engineering.

Fourier and Wavelet Analysis: Fourier and wavelet analysis are branches of mathematics that deal with the analysis of functions and signals using Fourier series and wavelets. Chapters in this book explore topics such as Fourier transforms, wavelets, and their applications in signal processing, image processing, and other fields.

Mathematical Physics: Mathematical physics is a branch of mathematics that combines the principles of mathematics and physics. Chapters in this book explore topics such as quantum mechanics, classical mechanics, and relativity, as well as their applications in physics and engineering.

Graph Theory: Graph theory is a branch of mathematics that deals with the study of graphs. The book includes chapters that cover various topics in graph theory, including graph theory, graph algorithms, graph minors, graph invariants, graph theory, and graph theory.

Stochastic Orders and Numerical Analysis: Stochastic orders and numerical analysis are branches of mathematics that deal with the study of random processes and their applications. Chapters in this book explore topics such as stochastic differential equations, stochastic analysis, and numerical methods, as well as their applications in finance, economics, and other fields.

This book will be of value to researchers and students associated with the field of pure and applied mathematics. It provides a comprehensive overview of the latest developments in mathematical analysis and its applications, and serves as a valuable resource for scholars and practitioners alike.

Weight: 516g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811681790
Edition number: 1st ed. 2021