Integral calculus and equations

Harmonic Analysis in China is a collection of surveys and research papers written by distinguished Chinese mathematicians from within the People's Republic of China and expatriates.

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.

Moment Theory is not a new subject; however, in classical treatments, the ill-posedness of the problem is not taken into account - hence this monograph.

This book gives many helps for students of technical colleges who have had usual mathematical training.

As a result of researchers' and scientists' increasing interest in pure as well as applied mathematics in non-conventional models, particularly those using fractional calculus, Mittag-Leffler functions have recently caught the interest of the scientific community.

This popular textbook, now in a revised and expanded third edition, presents a comprehensive course in modern probability theory.

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 textbook focuses on one of the most valuable skills in multivariable and vector calculus: visualization.

This book provides a self-contained introduction to convex geometry in Euclidean space.

This work is aimed at an audience with a sound mathematical background wishing to learn about the rapidly expanding ?

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.

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

This textbook proposes an informal access to the most important issues of multidimensional differential and integral calculus.

TheinternationalconferencesonIntegralMethodsinScienceandEngineering (IMSE) are biennial opportunities for academics and other researchers whose work makes essential use of analytic or numerical integration methods to discuss their latest results and exchange views on the development of novel techniques of this type.

Das Buch ist eine kompakte, leicht lesbare Einführung in die Maß- und Integrationstheorie samt Wahrscheinlichkeitstheorie, in der auch auf den für das Verständnis wichtigen Bezug zur klassischen Analysis, etwa in Abschnitten über Funktionen von beschränkter Variation oder dem Hauptsatz der Differential- und Integralrechnung eingegangen wird.

The aim of this work is to present in a unified approach a series of results concerning totally convex functions on Banach spaces and their applications to building iterative algorithms for computing common fixed points of mea- surable families of operators and optimization methods in infinite dimen- sional settings.

This textbook is addressed to PhD or senior undergraduate students in mathematics, with interests in analysis, calculus of variations, probability and optimal transport.

Over the course of his distinguished career, Robert Strichartz (1943-2021) had a substantial impact on the field of analysis with his deep, original results in classical harmonic, functional, and spectral analysis, and in the newly developed analysis on fractals.

This comprehensive textbook on linear integral equations and integral transforms is aimed at senior undergraduate and graduate students of mathematics and physics.

This volume collects thirteen expository or survey articles on topics including Fractal Geometry, Analysis of Fractals, Multifractal Analysis, Ergodic Theory and Dynamical Systems, Probability and Stochastic Analysis, written by the leading experts in their respective fields.

Based on a graduate course given by the author at Yale University this book deals with complex analysis (analytic capacity), geometric measure theory (rectifiable and uniformly rectifiable sets) and harmonic analysis (boundedness of singular integral operators on Ahlfors-regular sets).

This contributed volume contains a collection of articles on state-of-the-art developments on the construction of theoretical integral techniques and their application to specific problems in science and engineering.

In many scientific or engineering applications, where ordinary differen- tial equation (OOE),partial differential equation (POE), or integral equation (IE) models are involved, numerical simulation is in common use for prediction, monitoring, or control purposes.

In this book, the optimal transportation problem (OT) is described as a variational problem for absolutely continuous stochastic processes with fixed initial and terminal distributions.

This book aims to present some recent results on Prandtl equations and MHD boundary layer equations.

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.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

Wissen Sie noch, was Polarkoordinaten sind und wie man mit ihnen rechnet?

This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined.

This book contains a brief historical introduction and state of the art in fractional calculus.

Inverse problems arise whenever one tries to calculate a required quantity from given measurements of a second quantity that is associated to the first one.

This book delves into semilinear evolution equations, impulsive differential equations, and integro-differential equations with different types of delay.

The flourishing theory of classical optimal transport concerns mass transportation at minimal cost.

This book targets graduate students and researchers who want to learn about Lebesgue spaces and solutions to hyperbolic equations.

Stochastic analysis is a field of mathematical research having numerous interactions with other domains of mathematics such as partial differential equations, riemannian path spaces, dynamical systems, optimization.

This textbook provides a mathematical introduction to linear systems, with a focus on the continuous-time models that arise in engineering applications such as electrical circuits and signal processing.

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

Trying to make mathematics understandable to the general public is a very difficult task.

This book convenes and deepens generic results about spectral measures, many of them available so far in scattered literature.

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

This introduction to the few-body problem progresses from two-body motion and classical planetary dynamics to modern numerical methods.

The calculus has been one ofthe areas of mathematics with a large number of significant applications since its formal development in the seventeenth century.