Integral calculus and equations

The book is intended for all those who are interested in application problems related to dynamical systems.

This beginners' course provides students with a general and sufficiently easy to grasp theory of the Kurzweil-Henstock integral.

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.

This book introduces random currents by presenting underlying mathematical methods necessary for applications.

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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 is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering.

The subject of this book stands at the crossroads of ergodic theory and measurable dynamics.

This book presents exercises and problems in the mathematical methods of physics with the aim of offering undergraduate students an alternative way to explore and fully understand the mathematical notions on which modern physics is based.

This book collects together lectures by some of the leaders in the field of partial differential equations and geometric measure theory.

This book establishes the foundations of the theory of bounded and unbounded weighted composition operators in L2-spaces.

Pedagogically organized, this monograph introduces fractional calculus and fractional dynamic equations on time scales in relation to mathematical physics applications and problems.

This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference "e;Boundary Value Problems, Functional Equations and Applications"e; (BAF-3), held in Rzeszow, Poland on 20-23 April 2016.

The focus of this book is on open conformal dynamical systems corresponding to the escape of a point through an open Euclidean ball.

This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences.

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

This book presents contributions and review articles on the theory of copulas and their applications.

This book provides a selection of reports and survey articles on the latest research in the area of single and multivariable operator theory and related fields.

Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarski's classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin's work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings.

This textbook presents a rigorous approach to multivariable calculus in the context of model building and optimization problems.

This contributed volume contains a collection of articles on the most recent advances in integral methods.

This contributed volume contains a collection of articles on the most recent advances in integral methods.

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.

This contributed volume provides readers with an overview of the most recent developments in the mathematical fields related to fractals, including both original research contributions, as well as surveys from many of the leading experts on modern fractal theory and applications.

This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces.

This book shows the importance of studying semilocal convergence in iterative methods through Newton's method and addresses the most important aspects of the Kantorovich's theory including implicated studies.

This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 - 2016.

This 2nd edition textbook offers a rigorous introduction to measure theoretic probability with particular attention to topics of interest to mathematical statisticians-a textbook for courses in probability for students in mathematical statistics.

The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem.

This text develops the necessary background in probability theory underlying diverse treatments of stochastic processes and their wide-ranging applications.

This volume is dedicated to the eminent Georgian mathematician Roland Duduchava on the occasion of his 70th birthday.

This monograph is a gateway for researchers and graduate students to explore the profound, yet subtle, world of long-range dependence (also known as long memory).

This monograph gives a state-of-the-art and accessible treatment of a new general higher-dimensional theory of complex dimensions, valid for arbitrary bounded subsets of Euclidean spaces, as well as for their natural generalization, relative fractal drums.

This book compiles solutions of linear theory of elasticity problems for isotropic and anisotropic bodies with sharp and rounded notches.

The book is devoted to dynamic inequalities of Hardy type and extensions and generalizations via convexity on a time scale T.

Key definitions and results in symmetric spaces, particularly Lp, Lorentz, Marcinkiewicz and Orlicz spaces are emphasized in this textbook.

This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces.

This book concentrates on one- and multi-dimensional nonlinear integral and discrete Gronwall-Bellman type inequalities.

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

This textbook covers the main results and methods of real analysis in a single volume.

This textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics.

This book offers a rigorous and self-contained presentation of stochastic integration and stochastic calculus within the general framework of continuous semimartingales.

This monograph presents the newly developed method of rigged Hilbert spaces as a modern approach in singular perturbation theory.

This book covers the material of a one year course in real analysis.

Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena.

This book presents the proceedings of Positivity VII, held from 22-26 July 2013, in Leiden, the Netherlands.

This second of two Exercises in Analysis volumes covers problems in five core topics of mathematical analysis: Function Spaces, Nonlinear and Multivalued Maps, Smooth and Nonsmooth Calculus, Degree Theory and Fixed Point Theory, and Variational and Topological Methods.

This advanced undergraduate textbook is based on a one-semester course on single variable calculus that the author has been teaching at San Diego State University for many years.

This book presents and explains a general, efficient, and elegant method for solving the Dirichlet, Neumann, and Robin boundary value problems for the extensional deformation of a thin plate on an elastic foundation.

This book offers a thoroughand self-contained exposition of the mathematics of time-domain boundaryintegral equations associated to the wave equation, including applications toscattering of acoustic and elastic waves.