Real analysis, real variables

This volume is part of the collaboration agreement between Springer and the ISAAC society.

This monograph isdevoted to a special area ofBanach space theory-the Kothe- Bochner function space.

Updated throughout, this revised edition contains 25% new material covering progress made in the field over the past decade.

This book which is the outcome of a NATO-Advanced Study Institute on Mod- elling the Ocean Circulation and Geochemical Tracer Transport is concerned with using models to infer the ocean circulation.

The first systematic account of the Dirichlet space, one of the most fundamental Hilbert spaces of analytic functions.

This book has two main objectives, the first of which is to extend the power of numerical Fourier analysis and to show by means of theoretical examples and numerous concrete applications that when computing discrete Fourier transforms of periodic and non periodic functions, the usual kernel matrix of the Fourier transform, the discrete Fourier transform (DFT), should be replaced by another kernel matrix, the eXtended Fourier transform (XFT), since the XFT matrix appears as a convergent quadrature of a more general transform, the fractional Fourier transform.

This textbook offers a comprehensive undergraduate course in real analysis in one variable.

This book combines rigorous proofs with commentary on the underlying ideas to provide a rich insight into these mathematical landmarks.

This book is about the rise and supposed fall of the mean value theorem.

This volume provides a self-contained introduction to some topics in orbit equivalence theory, a branch of ergodic theory.

This volume represents a part of the main result obtained bya group of French probabilists, together with thecontributions of a number of colleagues, mainly from the USAand Japan.

This first year graduate text is a comprehensive resource in real analysis based on a modern treatment of measure and integration.

Updated throughout, this revised edition contains 25% new material covering progress made in the field over the past decade.

Mathematik ist nicht jedermanns Sache.

Advanced Data Analysis and Modeling in Chemical Engineering provides the mathematical foundations of different areas of chemical engineering and describes typical applications.

Dieses mit ausgefallenen und lehrreichen Beispielen versehene Buch beinhaltet die wesentlichen Aspekte der mehrdimensionalen Analysis und der gewöhnlichen Differentialgleichungen.

The main purpose of this book is to give a detailed and complete survey of recent progress related to the real-variable theory of Musielak-Orlicz Hardy-type function spaces, and to lay the foundations for further applications.

Written by an expert on the topic and experienced lecturer, this textbook provides an elegant, self-contained introduction to functional analysis, including several advanced topics and applications to harmonic analysis.

This book provides a rigorous introduction to the techniques and results of real analysis, metric spaces and multivariate differentiation, suitable for undergraduate courses.

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.

My first book had a perilous childhood.

A self-contained introduction to the representation theory and harmonic analysis of wreath products of finite groups, with examples and exercises.

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

This book provides a  concise introduction to convex duality in financial mathematics.

This innovative textbook bridges the gap between undergraduate analysis and graduate measure theory by guiding students from the classical foundations of analysis to more modern topics like metric spaces and Lebesgue integration.

The first edition of this highly successful book appeared in 1975 and evolved from lecture notes for classes in physical optics, diffraction physics and electron microscopy given to advanced undergraduate and graduate students.

This monograph provides a comprehensive treatment of expansion theorems for regular systems of first order differential equations and n-th order ordinary differential equations.

This volume will serve several purposes: to provide an introduction for graduate students not previously acquainted with the material, to serve as a reference for mathematical physicists already working in the field, and to provide an introduction to various advanced topics which are difficult to understand in the literature.

Nonlinear Differential Problems with Smooth and Nonsmooth Constraints systematically evaluates how to solve boundary value problems with smooth and nonsmooth constraints.

This book offers a concise introduction to mathematical inequalities for graduate students and researchers in the fields of engineering and applied mathematics.

Fractal geometry is a new and promising field for researchers from different disciplines such as mathematics, physics, chemistry, biology and medicine.

A unifying approach suitable for graduate students and mathematicians.

This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world.

Preface Objectives of This Book * To teach calculus as a laboratory science, with the computer and software as the lab, and to use this lab as an essential tool in learning and using calculus.

This book is devoted to the study of certain integral representations for Neumann, Kapteyn, Schlomilch, Dini and Fourier series of Bessel and other special functions, such as Struve and von Lommel functions.

This book gathers together a novel collection of problems in mathematical analysis that are challenging and worth studying.

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

This second edition provides a thorough introduction to contemporary convex function theory with many new results.

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.