Integral calculus and equations

This book highlights the latest developments in the geometry of measurable sets, presenting them in simple, straightforward terms.

In three dimensional boundary element analysis, computation of integrals is an important aspect since it governs the accuracy of the analysis and also because it usually takes the major part of the CPU time.

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

One hundred years ago (1904) Hermann Minkowski [58] posed a problem: to re- 2 construct an even function I on the sphere 8 from knowledge of the integrals MI (C) = fc Ids over big circles C.

When the first edition of this textbook published in 2011, it constituted a substantial revision of the best-selling Birkhauser title by the same author, A Concise Introduction to the Theory of Integration.

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.

This book focuses on correlation coefficients and its applications in applied science fields.

This volume contains the contributions of the participants of the 14th ISAAC congress, held at the University of Sao Paulo, Campus Ribeirao Preto, Brazil, on July 17-21, 2023.

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

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 monograph delves into the theory of time-fractional diffusion and wave equations, presenting a comprehensive exploration of recent advancements in the field.

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

In this book a general topological construction of extension is proposed for problems of attainability in topological spaces under perturbation of a system of constraints.

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

The theory of dynamic equations has many interesting applications in control theory, mathematical economics, mathematical biology, engineering and technology.

This book provides readers with a deep understanding of the use of objective algorithms for integration of constitutive relations (CRs) for Hooke-like hypoelasticity based on the use of corotational stress rates.

§ 1.

In volume I we developed the tools of "e;Multivalued Analysis.

This monograph provides a complete and self-contained account of the theory, methods, and applications of constant-sign solutions of integral equations.

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

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.

Semiconcavity is a natural generalization of concavity that retains most of the good properties known in convex analysis, but arises in a wider range of applications.

This book is the first to be devoted to the theory of vector-valued functions with one variable.

The theory of almost periodic functions is a very active field of research for scholars.

Festschrift in Honor of Takahiro Kawai

The book targets undergraduate and postgraduate mathematics students and helps them develop a deep understanding of mathematical analysis.

The method-of-moments solution of the electric field and magnetic field integral equations (EFIE and MFIE) is extended to conducting objects modeled with curved cells.

Stochastic geometry, based on current developments in geometry, probability and measure theory, makes possible modeling of two- and three-dimensional random objects with interactions as they appear in the microstructure of materials, biological tissues, macroscopically in soil, geological sediments etc.

Descriptive topology and functional analysis, with extensive material demonstrating new connections between them, are the subject of the first section of this work.

Differential and integral equations involve important mathematical techniques, and as such will be encountered by mathematicians, and physical and social scientists, in their undergraduate courses.

Dieses seit über 30 Jahren bewährte Standardwerk ist gedacht als Begleittext zur Analysis-Vorlesung des ersten Semesters für Mathematiker, Physiker und Informatiker.

Unlock the intricate language of signals and systems with this in-depth exploration of Fourier and Laplace transforms.

This textbook provides a thorough introduction to measure and integration theory, fundamental topics of advanced mathematical analysis.

The first formulations of linear boundary value problems for analytic functions were due to Riemann (1857).

In a number of famous works, M.

The inverse scattering problem is central to many areas of science and technology such as radar, sonar, medical imaging, geophysical exploration and nondestructive testing.

The idea of devoting a complete book to this topic was born at one of the Workshops on Nonlinear and Turbulent Processes in Physics taking place reg- ularly in Kiev.

The space C(X) of all continuous functions on a compact space X carries the structure of a normed vector space, an algebra and a lattice.

The book presents a combination of two topics: one coming from the theory of approximation of functions and integrals by interpolation and quadrature, respectively, and the other from the numerical analysis of operator equations, in particular, of integral and related equations.

This volume contains two of the three lectures that were given at the 33rd Probability Summer School in Saint-Flour (July 6-23, 2003).

This book presents applications of hypercomplex analysis to boundary value and initial-boundary value problems from various areas of mathematical physics.

The 2nd edition of this book is essentially an extended version of the 1st and provides a very sound overview of the most important special functions of Fractional Calculus.

This compact textbook is a collection of the author's lecture notes for a two-semester graduate-level real analysis course.

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.