Integral calculus and equations

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.

This volume collects contributions from the speakers at an INdAM Intensive period held at the University of Bari in 2017.

The text contains detailed and complete proofs and includes instructive historical introductions to key chapters.

Presents the state of the art in the study of fast multiscale methods for solving these equations based on wavelets.

In its second installment, Innovative Integrals and Their Applications II explores multidimensional integral identities, unveiling powerful techniques for attacking otherwise intractable integrals, thus demanding ingenuity and novel approaches.

Computational Techniques for the Summation of Series is a text on the representation of series in closed form.

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This textbook offers an extensive list of completely solved problems in mathematical analysis.

In topological measure theory, Radon measures are the most important objects.

This second edition of Linear Integral Equations continues the emphasis that the first edition placed on applications.

This second edition of Generalized Functions has been strengthened in many ways.

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

This work results from a selection of the contributions presented in the mini symposium "e;Applications of Multiresolution Analysis with "e;Wavelets"e;, presented at the ICIAM 19, the International Congress on Industrial and Applied Mathematics held at Valencia, Spain, in July 2019.

An introduction for graduate students, a guide for users, and a comprehensive resource for experts.

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.

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

"e;Equations with Involutive Operators"e; demonstrates an important interplay between abstract and concrete operator theory.

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

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 book introduces the mathematical concept of partial differential equations (PDEs) for virtual image restoration.

Volume 2 of the classic advanced calculus text Richard Courant's Differential and Integral Calculus is considered an essential text for those working toward a career in physics or other applied math.

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.

The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry.

This book presents numerical methods and computational aspects for linear integral equations.

Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary.

The book aims at presenting a detailed and mathematically rigorous exposition of the theory and applications of a class of point processes and piecewise deterministic p- cesses.

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

An essentially self-contained treatment ideal for mathematicians, physicists or engineers whose research is connected with inverse problems.

El análisis numérico es la rama de la Matemática que estudia los métodos numéricos de resolución de problemas, esto es, los métodos que permiten obtener soluciones, que en general son aproximadas, de problemas matemáticos.

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This book aims to provide an introduction to the broad and dynamic subject of discrete energy problems and point configurations.

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.

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

This book provides a generalised approach to fractal dimension theory from the standpoint of asymmetric topology by employing the concept of a fractal structure.

The First International Congress of the International Society for Analysis, its Applications and Computations (ISAAC'97) was held at the University of Delaware from 3 to 7 June 1997.

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

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

A unique probabilistic approach to studying pattern matching problems in computer science, telecommunications, molecular biology and more.

Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary.

A broad introduction, perfect for a one-year graduate course.

This book is the Proceedings of the Second ISAAC Congress.

This book introduces integrals, the fundamental theorem of calculus, initial value problems, and Riemann sums.

Developed over years of classroom use, this textbook provides a clear and accessible approach to real analysis.

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

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

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

A superb text on the fundamentals of Lebesgue measure and integration.

Ten high-quality survey articles provide an overview of important recent developments in the mathematics surrounding negative curvature.