This user-friendly textbook offers an introduction to complex analysis. Unlike other textbooks, it follows Weierstrass' approach, and includes several elegant proofs that were recently... Læs mere
This book is devoted to the study of certain integral representations for Neumann, Kapteyn, Schloemilch, Dini and Fourier series of Bessel and other special functions, such as Struve and von Lommel functions.
This work aims to set up the fundamentals of real operator algebras and to give a systematic discussion for real operator algebras. Since the treatment is from the beginning, and some basic facts are given, one can get some results on real operator algebras easily.
In this updated edition of Numbers and Functions, the reader is invited to tackle each of the key concepts of mathematical analysis in turn, progressing from... Læs mere
While most texts on real analysis are content to assume the real numbers, or to treat them only briefly, this text makes a serious study of the real number system and the issues it brings to light.
This book is written as both a stepping stone to higher calculus and analysis courses, and as a foundation for deeper reasoning in applied mathematics. As well as a rigorous... Læs mere
Real analysis provides the fundamental underpinnings for calculus, arguably the most useful and influential mathematical idea ever invented.
This unusual and lively textbook offers a clear and intuitive approach to the classical and beautiful theory of complex variables.
Fundamentals of Mathematical Analysis explores real and functional analysis with a substantial component on topology.
This book sketches a path for newcomers into the theory of harmonic analysis on the real line. It presents a collection of both basic, well-known and some less known results that may serve as a background for future research around this topic.