Real analysis, real variables

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

This book  focuses on the theory of linear operators on non-Archimedean Banach spaces.

The Motivation.

An Introduction to Non-Harmonic Fourier Series, Revised Edition is an update of a widely known and highly respected classic textbook.

Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes.

This second edition of Generalized Functions has been strengthened in many ways.

A half-century ago, advanced calculus was a well-de?

A new edition of a classic textbook on complex analysis with an emphasis on translating visual intuition to rigorous proof.

This volume presents in a unified manner both classic as well as modern research results devoted to trigonometric sums.

A text for a first graduate course in real analysis for students in pure and applied mathematics, statistics, education, engineering, and economics.

A Concise Approach to Mathematical Analysis introduces the undergraduate student to the more abstract concepts of advanced calculus.

The book addresses many important new developments in the field.

"e;Beyond Wavelets"e; presents state-of-the-art theories, methods, algorithms, and applications of mathematical extensions for classical wavelet analysis.

This monograph is devoted to developing a theory of combined measure and shift invariance of time scales with the related applications to shift functions and dynamic equations.

Motivated by recent increased activity of research on time scales, the book  provides a systematic approach to the study of the qualitative theory of boundedness, periodicity and stability of Volterra integro-dynamic equations on time scales.

Real Analysis: Measures, Integrals and Applications is devoted to the basics of integration theory and its related topics.

A thorough guide to elliptic functions and modular forms that demonstrates the relevance and usefulness of historical sources.

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

An introduction to Griffiths'' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.

A two-volume advanced text for graduate students.

This book contains a selection of papers presented at the conference on High Performance Software for Nonlinear Optimization (HPSN097) which was held in Ischia, Italy, in June 1997.

There are a great deal of books on introductory analysis in print today, many written by mathematicians of the first rank.

Ein Hauptanliegen des Ingenieurstudiums gilt der Umwandlung praktischer Probleme in mathematische Fragestellungen, der mathematischen Modellbildung.

The contributions in this volume aim to deepenunderstanding of some of the current research problems and theories inmodern topics such as calculus of variations, optimization theory, complexanalysis, real analysis, differential equations, andgeometry.

Das vorliegende Buch ist der erste Band eines zweibändigen Werkes über Analysis und behandelt die Funktionen einer reellen Veränderlichen.

Spline functions entered Approximation Theory as solutions of natural extremal problems.

One-dimensional dynamics has developed in the last decades into a subject in its own right.

This textbook offers undergraduates a self-contained introduction to advanced topics not covered in a standard calculus sequence.

A counterexample is any example or result that is the opposite of one's intuition or to commonly held beliefs.

Analysis Volume IV introduces the reader to functional analysis (integration, Hilbert spaces, harmonic analysis in group theory) and to the methods of the theory of modular functions (theta and L series, elliptic functions, use of the Lie algebra of SL2).

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.

Ein Hauptanliegen des Ingenieurstudiums gilt der Umwandlung praktischer Probleme in mathematische Fragestellungen, der mathematischen Modellbildung.

This book is a revised and expanded edition of a successful graduate and reference text.

This expanded version of the 1997 European Mathematical Society Lectures given by the author in Helsinki, begins with a self-contained introduction to nonstandard analysis (NSA) and the construction of Loeb Measures, which are rich measures discovered in 1975 by Peter Loeb, using techniques from NSA.

This book provides an introduction to real analysis, a fundamental topic that is an essential requirement in the study of mathematics.

This book is an introduction to the principles and methodology of modern multivariate statistical analysis.

The monograph is written with a view to provide basic tools for researchers working in Mathematical Analysis and Applications, concentrating on differential, integral and finite difference equations.

This monograph develops an operator viewpoint for functional equations in classical function spaces of analysis, thus filling a void in the mathematical literature.

A lively and engaging look at some of the ideas, techniques and elegant results of Fourier analysis, and their applications.

This book explains the notion of Brakke's mean curvature flow and its existence and regularity theories without assuming familiarity with geometric measure theory.

This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.

This textbook presents a wide range of tools for a course in mathematical optimization for upper undergraduate and graduate students in mathematics, engineering, computer science, and other applied sciences.

This undergraduate textbook offers a self-contained and concise introduction to measure theory and integration.

This volume features recent development and techniques in evolution equations by renown experts in the field.