Mathematics Series

  • ISBN: 9781681179568
  • Editor: Krista Lenz
  • Year: 2018
  • Format: Hardcover
  • Pages: 408
  • Availability: In Stock
  • Description

Analysis is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (384–322 B.C.), though analysis as a formal concept is a relatively recent development. Mathematical analysis includes a very large part of mathematics. The part of mathematics in which functions and their generalizations are studied by the method of limits. The concept of limit is closely connected with that of an infinitesimal quantity, therefore it could be said that mathematical analysis studies functions and their generalizations by infinitesimal methods. These theories are usually studied in the context of real and complex numbers and functions. Analysis evolved from calculus, which involves the elementary concepts and techniques of analysis. Analysis may be distinguished from geometry; however, it can be applied to any space of mathematical objects that has a definition of nearness (a topological space) or specific distances between objects.

This book presents studies that discuss several mathematical analysis methods and their respective applications. It deals with recent developments in and the latest research on mathematics, statistics and their applications. It covers a broad spectrum of modern harmonic analysis, functional differential equations, complex analysis, special functions, function spaces, summability theory, Fourier and wavelet analysis, and numerical analysis of great interest to the research community. All chapters are contributed by eminent academics, scientists, researchers and scholars in their respective fields, hailing from around the world. This book will be of valuable to young researchers and professionals whose work involves the use of mathematical analysis.