Real analysis, real variables

This is a self-contained book that covers the standard topics in introductory analysis and that in addition constructs the natural, rational, real and complex numbers, and also handles complex-valued functions, sequences, and series.

This book offers to the reader a self-contained treatment and systematic exposition of the real-valued theory of a nonabsolute integral on measure spaces.

This book deals with the development of Diophantine problems starting with Thue's path breaking result and culminating in Roth's theorem with applications.

This book serves as a textbook in real analysis.

This book presents a unified treatise of the theory of measure and integration.

This book discusses major topics in measure theory, Fourier transforms, complex analysis and algebraic topology.

Mathematical analysis serves as a common foundation for many research areas of pure and applied mathematics.

This book provides a broad, interdisciplinary overview of non-Archimedean analysis and its applications.

Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book.

This book provides an in depth discussion of Loewner's theorem on the characterization of matrix monotone functions.

This compact textbook is a collection of the author's lecture notes for a two-semester graduate-level real analysis course.

This book sketches a path for newcomers into the theory of harmonic analysis on the real line.

The aim of this book is to present various facets of the theory and applications of Lipschitz functions, starting with classical and culminating with some recent results.

This book is aimed toward graduate students and researchers in mathematics, physics and engineering interested in the latest developments in analytic inequalities, Hilbert-Type and Hardy-Type integral inequalities, and their applications.

This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak-Orlicz spaces) with minimal assumptions on the generating F-function.

An informative and useful account of complex numbers that includes historical anecdotes, ideas for further research, outlines of theory and a detailed analysis of the ever-elusory Riemann hypothesis.

Delta Functions has now been updated, restructured and modernised into a second edition, to answer specific difficulties typically found by students encountering delta functions for the first time.

Inequalities for Differential and Integral Equations has long been needed; it contains material which is hard to find in other books.

Este libro estudia el fascinante campo de las integrales múltiples donde se han incluido muchos gráficos de apoyo.

The main subject of the monograph is the fractional calculus in the discrete version.

This book presents a unified treatise of the theory of measure and integration.

This book is intended as a survey of latest results on weighted inequalities in Lorentz, Orlicz spaces and Zygmund classes.

This volume presents an account of some of the most important work that has been done on various research problems in the theory of polynomials of one and several variables and their applications.

With an addendum by Wu Congxin (Harbin Institute of Technology)Linear Functional Analysis resulted from a series of lectures Orlicz gave in Beijing, China, 1958.

Henstock-Kurzweil (HK) integration, which is based on integral sums, can be obtained by an inconspicuous change in the definition of Riemann integration.

The main topics of this book are convergence and topologization.

The theory of operator algebras is generally considered over the field of complex numbers and in the complex Hilbert spaces.

The Henstock-Kurzweil integral, which is also known as the generalized Riemann integral, arose from a slight modification of the classical Riemann integral more than 50 years ago.

The subject of fractional calculus and its applications (that is, convolution-type pseudo-differential operators including integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, mainly due to its applications in diverse fields of science and engineering.

This book is an introductory text on real analysis for undergraduate students.

This book offers to the reader a self-contained treatment and systematic exposition of the real-valued theory of a nonabsolute integral on measure spaces.

Starting with the Zermelo-Fraenhel axiomatic set theory, this book gives a self-contained, step-by-step construction of real and complex numbers.

This unique book provides a collection of more than 200 mathematical problems and their detailed solutions, which contain very useful tips and skills in real analysis.

This book provides analytic tools to describe local and global behavior of solutions to Ito-stochastic differential equations with non-degenerate Sobolev diffusion coefficients and locally integrable drift.

This book serves as a textbook in real analysis.

This book discusses major topics in measure theory, Fourier transforms, complex analysis and algebraic topology.

This book deals with the development of Diophantine problems starting with Thue's path breaking result and culminating in Roth's theorem with applications.

A typical source of mistakes that frequently lead to a wrong or incomplete solution for the antiderivative of a given real function of one real variable is a misuse of the technique of change of variable.

This is a self-contained book that covers the standard topics in introductory analysis and that in addition constructs the natural, rational, real and complex numbers, and also handles complex-valued functions, sequences, and series.

Mathematical analysis serves as a common foundation for many research areas of pure and applied mathematics.

This is a text that develops calculus 'from scratch', with complete rigorous arguments.

The book presents major topics in semigroups, such as operator theory, partial differential equations, harmonic analysis, probability and statistics and classical and quantum mechanics, and applications.

This book provides a concise and meticulous introduction to functional analysis.

For more than a century, the study of various types of inequalities has been the focus of great attention by many researchers, interested both in the theory and its applications.

In this monograph, the authors present a compact, thorough, systematic, and self-contained oscillation theory for linear, half-linear, superlinear, and sublinear second-order ordinary differential equations.

In 1909 Alfred Haar introduced into analysis a remarkable system which bears his name.

The last fifty years have witnessed several monographs and hundreds of research articles on the theory, constructive methods and wide spectrum of applications of boundary value problems for ordinary differential equations.

Asymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics is the second edition of the same book in Russian, revised and enlarged.

This book is devoted to some results from the classical Point Set Theory and their applications to certain problems in mathematical analysis of the real line.

There seems to be two types of books on inequalities.