Real analysis, real variables

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Clifford analysis, a branch of mathematics that has been developed since about 1970, has important theoretical value and several applications.

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

Diese Einführung in die Analysis orientiert sich in ihrem Aufbau an der zeitlichen Entwicklung der Themen.

Dieses Lehrbuch vermittelt dem Leser ein solides Basiswissen, wie es für weite Bereiche der Mathematik unerlässlich ist, insbesondere für die reelle Analysis, Funktionalanalysis, Wahrscheinlichkeitstheorie und mathematische Statistik.

Written by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces (in particular in G-metric spaces); that is, the text approaches this important area of fixed point analysis beginning from the basic ideas of metric space topology.

Multivariate polysplines are a new mathematical technique that has arisen from a synthesis of approximation theory and the theory of partial differential equations.

Singularities arise naturally in a huge number of different areas of mathematics and science.

Comprehensive coverage of recent, exciting developments in Fourier restriction theory, including applications to number theory and PDEs.

This book presents a compact and self-contained introduction to the theory of measure and integration.

Graduate text covering the theory of Hardy spaces from its origins to the present, with concrete applications and solved exercises.

This book establishes a comprehensive theory to treat square roots of elliptic systems incorporating mixed boundary conditions under minimal geometric assumptions.

This concise textbook introduces calculus students to power series through an informal and captivating narrative that avoids formal proofs but emphasizes understanding the fundamental ideas.

This book compiles research and surveys devoted to the areas of mathematical analysis, approximation theory, and optimization.

It isn't that they can't see the solution.

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

Volume III sets out classical Cauchy theory.

The Lebesgue integral is now standard for both applications and advanced mathematics.

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.

The present volume is a collection of papers mainly concerning Phase Space Analysis,alsoknownasMicrolocal Analysis,anditsapplicationstothetheory of Partial Di?

A comprehensive graduate-level introduction to classical and contemporary aspects of special functions.

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.

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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 monograph offers a self-contained introduction to pseudodifferential operators and wavelets over real and p-adic fields.

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

This is the second edition of an undergraduate one-variable analysis text.

Isoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces.

This book presents a compact and self-contained introduction to the theory of measure and integration.

This monograph is a bridge between the classical theory and modern approach via arithmetic geometry.

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.

The goal of this text is to help students leam to use calculus intelligently for solving a wide variety of mathematical and physical problems.

Integration theory and general topology form the core of this textbook for a first-year graduate course in real analysis.

An in-depth look at real analysis and its applications-now expanded and revised.

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

This monograph examines and develops the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP) in the field of interpolation of functions.

Project practitioners and decision makers complain that both parametric and Monte Carlo methods fail to produce accurate project duration and cost contingencies in majority of cases.

This book presents the probabilistic methods around Hardy martingales for applications to complex, harmonic, and functional analysis.

Offering a unified exposition of calculus and classical real analysis, this textbook presents a meticulous introduction to single-variable calculus.

This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string theory in physics.

This book aims to establish a foundation for fractional derivatives and fractional differential equations.

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

This book presents eleven peer-reviewed papers from the 3rd International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering (AMINSE2017) held in Tbilisi, Georgia in December 2017.

This third edition presents an expanded and updated treatment of convex analysis methods, incorporating many new results that have emerged in recent years.

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

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