Integral calculus and equations

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

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

This textbook provides a detailed treatment of abstract integration theory, construction of the Lebesgue measure via the Riesz-Markov Theorem and also via the Caratheodory Theorem.

The book begins at the level of an undergraduate student assuming only basic knowledge of calculus in one variable.

The book demonstrates the development of integral geometry on domains of homogeneous spaces since 1990.

This book deals with the constructive Weierstrassian approach to the theory of function spaces and various applications.

This book deals with evolutionary systems whose equation of state can be formulated as a linear Volterra equation in a Banach space.

The origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numerical sequence to correspond to a holomorphic contractive function on the unit disk.

This collection of Heinz Konig's publications connects to his book of 1997 "e;Measure and Integration"e; and presents significant developments in the subject from then up to the present day.

Das Lebesgue-Integral ist ein essentielles Werkzeug für Analysis und Stochastik und damit für viele Bereiche, in denen Mathematik zum Einsatz kommt.

In a number of famous works, M.

This book develops integral identities, mostly involving multidimensional functions and infinite limits of integration, whose evaluations are intractable by common means.

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

This textbook introduces readers to the fundamental notions of modern probability theory.

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.

This textbook describes selected topics in functional analysis as powerful tools of immediate use in many fields within applied mathematics, physics and engineering.

This monograph provides a state-of-the-art, self-contained account on the effectiveness of the method of boundary layer potentials in the study of elliptic boundary value problems with boundary data in a multitude of function spaces.

This comprehensive treatment of multivariable calculus focuses on the numerous tools that MATLAB(R) brings to the subject, as it presents introductions to geometry, mathematical physics, and kinematics.

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 touches upon various aspects of a very interesting, and growing in popularity category of models of dynamical systems.

This volume explores A.

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This book contains plenary lectures given at the International Conference on Mathematical and Computational Modeling, Approximation and Simulation, dealing with three very different problems: reduction of Runge and Gibbs phenomena, difficulties arising when studying models that depend on the highly nonlinear behaviour of a system of PDEs, and data fitting with truncated hierarchical B-splines for the adaptive reconstruction of industrial models.

This brief explores the Krasnosel'skii-Man (KM) iterative method, which has been extensively employed to find fixed points of nonlinear methods.

This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry.

This book provides a comprehensive examination of preconditioners for boundary element discretisations of first-kind integral equations.

This book is divided into two parts, the first one to study the theory of differentiable functions between Banach spaces and the second to study the differential form formalism and to address the Stokes' Theorem and its applications.

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.

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 is part of the collaboration agreement between Springer and the ISAAC society.

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 volume is part of the collaboration agreement between Springer and the ISAAC society.

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

This graduate textbook provides a self-contained introduction to modern mathematical theory on fractional differential equations.

This monograph presents the summability of higher dimensional Fourier series, and generalizes the concept of Lebesgue points.

This book presents the foundation of the theory of almost automorphic functions in abstract spaces and the theory of almost periodic functions in locally and non-locally convex spaces and their applications in differential equations.

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

This proceedings volume features selected contributions from the conference Positivity X.

This study guide is designed for students taking courses in precalculus.

This study guide is designed for students taking courses in calculus.

This textbook explores the foundations of real analysis using the framework of general ordered fields, demonstrating the multifaceted nature of the area.

This multidisciplinary volume is the second in the STEAM-H series to feature invited contributions on mathematical applications in naval engineering.

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.

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 book is the second edition, whose original mission was to offer a new approach for students wishing to better understand the mathematical tenets that underlie the study of physics.