Real analysis, real variables

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

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

The principal aim in writing this book has been to provide an intro- duction, barely more, to some aspects of Fourier series and related topics in which a liberal use is made of modem techniques and which guides the reader toward some of the problems of current interest in harmonic analysis generally.

Most mathematicians, engineers, and many other scientists are well-acquainted with theory and application of ordinary differential equations.

There seems to be two types of books on inequalities.

The book describes the use of smoothing techniques in statistics, including both density estimation and nonparametric regression.

This book contains an introduction to the theory of functions, with emphasis on functions of several variables.

This book presents the new fascinating area of continuous inequalities.

A unifying approach suitable for graduate students and mathematicians.

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.

With a useful index of notations at the beginning, this book explains and illustrates the theory and application of data analysis methods from univariate to multidimensional and how to learn and use them efficiently.

This book, the much-anticipated sequel to (Almost) Impossible, Integrals, Sums, and Series, presents a whole new collection of challenging problems and solutions that are not commonly found in classical textbooks.

In the ideal world, major decisions would be made based on complete and reliable information available to the decision maker.

This textbook provides a gentle overview of fundamental concepts related to one-variable calculus.

This book documents the history of pi from the dawn of mathematical time to the present.

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

Approach your problems from the right It isn't that they can't see the solution.

47 brauchen nur den Nennern so groß zu wählen, daß das Intervall [0, 1/n] kleiner wird als das fragliche Intervall [A, B], dann muß mindestens einer der Brüche mfn innerhalb des Intervalls liegen.

This book provides new contributions to the theory of inequalities for integral and sum, and includes four chapters.

A strong foundation in real analysis gives students a broadly-applicable skill set in deductive reasoning and analytical math, strengthening the creative thought processes required to extend ideas to new situations.

This book is devoted to the broad field of Fourier analysis and its applications to several areas of mathematics, including problems in the theory of pseudo-differential operators, partial differential equations, and time-frequency analysis.

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

The understanding of results and notions for a student in mathematics requires solving ex- ercises.

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

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

This classroom-tested text is intended for a one-semester course in Lebesgue's theory.

What shall we say of this metamorphosis in passing from finite to infinite?

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

Written in honor of Victor Havin (1933-2015), this volume presents a collection of surveys and original papers on harmonic and complex analysis, function spaces and related topics, authored by internationally recognized experts in the fields.

Dieses Buch bietet Lösungen zu den 240 Aufgaben aus dem Buch „Mathematik für Ingenieure und Naturwissenschaftler - Band 2: Analysis in R^n und gewöhnliche Differentialgleichungen“.

This second edition of "e;Polynomial representations of GL (K)"e; consists of n two parts.

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.

Assuming only calculus and linear algebra, this book introduces the reader in a technically complete way to measure theory and probability, discrete martingales, and weak convergence.

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

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

A comprehensive introduction to quasiconformal surgery in holomorphic dynamics.

A rigorous introduction to real analysis for undergraduates.

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

The first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback.

This book focuses on one- and multi-dimensional linear integral and discrete Gronwall-Bellman type inequalities.

This book presents four topics related to undergraduate courses, typically not covered in standard lectures.

The subject of this book is Lagrange, Hermite and Birkhoff (lacunary Hermite) interpolation by multivariate algebraic polynomials.

One of the main aims of this book is to exhibit some fruitful links between renewal theory and regular variation of functions.

Starting with Cook's pioneering work on NP-completeness in 1970, polynomial complexity theory, the study of polynomial-time com- putability, has quickly emerged as the new foundation of algorithms.