Integral calculus and equations

This book, the sixth of 15 related monographs, discusses singularity and networks of equilibriums and 1-diemsnional flows in product quadratic and cubic systems.

This book is devoted to a theory of gradient ?

The objective of this book is to construct a rigorous mathematical approach to linear hereditary problems of wave propagation theory and demonstrate the efficiency of mathematical theorems in hereditary mechanics.

This book provides a unique path for graduate or advanced undergraduate students to begin studying the rich subject of functional analysis with fewer prerequisites than is normally required.

This book deals with topics on the theory of measure and integration.

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

The book provides an introduction to sub-Riemannian geometry and optimal transport and presents some of the recent progress in these two fields.

This well-illustrated book, by two established historians of school mathematics, documents Thomas Jefferson's quest, after 1775, to introduce a form of decimal currency to the fledgling United States of America.

A selection of surveys and original research papers in mathematical fluid mechanics arising from a 2010 workshop held in Warwick.

This book provides an introduction to some aspects of the flourishing field of nonsmooth geometric analysis.

This book provides a comprehensive analysis of time domain boundary integral equations and their discretisation by convolution quadrature and the boundary element method.

This book features original research and survey articles on the topics of function spaces and inequalities.

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

Probability theory from the ground up, with an emphasis on finance applications.

Since long over the decades there has been a large transversal community of mathematicians grappling with the sophisticated challenges of the rigorous modelling and the spectral and scattering analysis of quantum systems of particles subject to an interaction so much localised to be considered with zero range.

This exposition is primarily a survey of the elementary yet subtle innovations of several mathematicians between 1929 and 1934 that led to partial and then complete solutions to Hilbert's Seventh Problem (from the International Congress of Mathematicians in Paris, 1900).

An enormous array of problems encountered by scientists and engineers are based on the design of mathematical models using many different types of ordinary differential, partial differential, integral, and integro-differential equations.

Scattering theory is, roughly speaking, perturbation theory of self-adjoint operators on the (absolutely) continuous spectrum.

The aim of this work is to initiate a systematic study of those properties of Banach space complexes that are stable under certain perturbations.

From July 11th to July 22nd, 2005, a NATO advanced study institute, as part of the series "e;Seminaire ' de mathematiques ' superieures"e;, ' was held at the U- versite ' de Montreal, ' on the subject Equidistribution in the theory of numbers.

This book is concerned with the numerical solution of crack problems.

In preparing this translation for publication certain minor modifications and additions have been introduced into the original Russian text, in order to increase its readibility and usefulness.

In this proceedings volume, the following topics are discussed: (1) various boundary value problems for partial differential equations and functional equations, including free and moving boundary problems; (2) the theory and methods of integral equations and integral operators, including singular integral equations; (3) applications of boundary value problems and integral equations to mechanics and physics; (4) numerical methods of integral equations and boundary value problems; and (5) some problems related with analysis and the foregoing subjects.

This volume is part of collection of contributions devoted to analytical and experimental techniques of dynamical systems, presented at the 15th International Conference "e;Dynamical Systems: Theory and Applications"e;, held in Lodz, Poland on December 2-5, 2019.

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.

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 - 2013.

The aim of this book is to develop a new approach which we called the hyper- geometric one to the theory of various integral transforms, convolutions, and their applications to solutions of integro-differential equations, operational calculus, and evaluation of integrals.

The book describes how curvature measures can be introduced for certain classes of sets with singularities in Euclidean spaces.

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

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

Guides the reader through the nonlinear Perron–Frobenius theory, introducing them to recent developments and challenging open problems.

The purpose of this book is to provide an integrated course in real and complex analysis for those who have already taken a preliminary course in real analysis.

This book examines the complexities of the colonization of the territory that is now Brazil and its shaping of psychological knowledge and practice.

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

This monograph is an annotated translation of what is considered to be the world's first calculus textbook, originally published in French in 1696.

This book presents an exhaustive study of atomicity from a mathematics perspective in the framework of multi-valued non-additive measure theory.

The theory of real-valued Sobolev functions is a classical part of analysis and has a wide range of applications in pure and applied mathematics.

This research monograph introduces some new aspects to the theory of harmonic functions and related topics.

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

In measure theory, a familiar representation theorem due to F.

This is a monograph devoted to recent research and results on dynamic inequalities on time scales.

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

Intended for a one- or two-semester course, this text applies basic, one-variable calculus to analyze the motion both of planets in their orbits as well as interplanetary spacecraft in their trajectories.

This book is intended to serve as introductory and reference material for the application of integral transforms to a range of common mathematical problems.