Integral calculus and equations

This book lays the foundations for a theory on almost periodic stochastic processes and their applications to various stochastic differential equations, functional differential equations with delay, partial differential equations, and difference equations.

Non-Additive Measure and Integral is the first systematic approach to the subject.

This book provides a comprehensive and timely report in the area of non-additive measures and integrals.

This book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences.

This book offers a timely overview of fractional calculus applications, with a special emphasis on fractional derivatives with Mittag-Leffler kernel.

'This is a deep and beautiful monograph in functional analysis, at the interface with mathematical physics.

This self-contained monograph presents matrix algorithms and their analysis.

Das vorliegende Brich über Funktionen einer reellen Veränderlichen ist der erste Teil einer dreibändigen Darstellung der Differential- und Integralrechnung.

This study guide is designed for students taking a Calculus III course.

The proceedings covers the following topics: Boundary value problems of partial differential equations including free boundary problems; Theory and methods of integral equations including singular integral equations; Applications of integral equations and boundary value problems to mechanics and physics; and numerical methods for integral equations and boundary value problems.

Maximally subelliptic partial differential equations (PDEs) are a far-reaching generalization of elliptic PDEs.

In the five years since the first edition of this book appeared, the field of in- verse scattering theory has continued to grow and flourish.

To summarize briefly, this book is devoted to an exposition of the foundations of pseudo differential equations theory in non-smooth domains.

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

This book contains the notes of five short courses delivered at the "e;Centro Internazionale Matematico Estivo"e; session "e;Integral Geometry, Radon Transforms and Complex Analysis"e; held in Venice (Italy) in June 1996: three of them deal with various aspects of integral geometry, with a common emphasis on several kinds of Radon transforms, their properties and applications, the other two share a stress on CR manifolds and related problems.

The theory of Laplace transformation is an important part of the mathematical background required for engineers, physicists and mathematicians.

The subject of this book stands at the crossroads of ergodic theory and measurable dynamics.

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 book consists of translations into English of several pioneering papers in the areas of discrete and continuous convolution operators and on the theory of singular integral operators published originally in Russian.

This book covers the basic elements of difference equations and the tools of difference and sum calculus necessary for studying and solv- ing, primarily, ordinary linear difference equations.

One of the bedrocks of any mathematics education, the study of real analysis introduces students both to mathematical rigor and to the deep theorems and counterexamples that arise from such rigor: for instance, the construction of number systems, the Cantor Set, the Weierstrass nowhere differentiable function, and the Weierstrass approximation theorem.

This textbook teaches the fundamentals of calculus, keeping points clear, succinct and focused, with plenty of diagrams and practice but relatively few words.

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

Variational and boundary integral equation techniques are two of the most useful methods for solving time-dependent problems described by systems of equations of the form 2 ?

This book offers an introduction to a classical problem in ergodic theory and smooth dynamics, namely, the Kolmogorov-Bernoulli (non)equivalence problem, and presents recent results in this field.

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

This book develops continuum modeling skills and approaches the topic from three sides: (1) derivation of global integral laws together with the associated local differential equations, (2) design of constitutive laws and (3) modeling boundary processes.

"e;Hypernumbers and Extrafunctions"e; presents a rigorous mathematical approach to operate with infinite values.

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.

This book consists of six survey contributions that are focused on several open problems of theoretical fluid mechanics both for incompressible and compressible fluids.

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.

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.

This book provides ideas for implementing Wolfram Mathematica to solve linear integral equations.

This book has two main objectives, the first of which is to extend the power of numerical Fourier analysis and to show by means of theoretical examples and numerous concrete applications that when computing discrete Fourier transforms of periodic and non periodic functions, the usual kernel matrix of the Fourier transform, the discrete Fourier transform (DFT), should be replaced by another kernel matrix, the eXtended Fourier transform (XFT), since the XFT matrix appears as a convergent quadrature of a more general transform, the fractional Fourier transform.

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

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In 1979, the Nobel Prize for Medicine and Physiology was awarded jointly to Allan McLeod Cormack and Godfrey Newbold Houns eld, the two pioneering scienti- engineers primarily responsible for the development, in the 1960s and early 1970s, of computerized axial tomography, popularly known as the CAT or CT scan.

This is the first publication which follows an agreement by Kluwer Publishers with the Caribbean Mathematics Foundation (CMF), to publish the proceedings of its mathematical activities.

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

This book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolev-type spaces and boundary value problems for linear elliptic partial differential equations.