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Theory of functionals and of integral and integro-differential equations. [Unabridged republication of the first English translation]

Theory of functionals and of integral and integro-differential equations. [Unabridged republication of the first English translation] more books like this

by Vito Volterra

A general theory of the functions depending on a continuous set of values of another function, this volume is based on the author's fundamental notion of the transition from a finite number of variables to a continually infinite number. Deals primarily with integral equations, and also addresses the calculus of variations. 1930 edition.

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Integral equations

Integral equations more books like this

by B L Moiseiwitsch

Geared toward upper-level undergraduate students, this text begins with a straightforward account, accompanied by simple examples of a variety of integral equations and the methods of their solution. The treatment becomes gradually more abstract, with discussions of Hilbert space and linear operators, the resolvent, Fredholm theory, and more. 1977 ...

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Integral methods in science and engineering

Integral methods in science and engineering more books like this

by Christian Constanda (Preface by)

This book is an outgrowth of the sixth international conference on integral methods in science and engineering. The chapters focus on the solution of mathematical models from various physical domains, using integral methods in conjunction with approximation schemes. "Integral Methods in Science and Engineering" describes the construction and ...

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Integral Equations

Integral Equations more books like this

by F G Tricomi

Authoritative, well-written treatment of extremely useful mathematical tool with wide applications. Topics include Volterra Equations, Fredholm Equations, Symmetric Kernels and Orthogonal Systems of Functions, more. Advanced undergraduate to graduate level. Exercises. Bibliography.

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Integral Equations and Applications

Integral Equations and Applications more books like this

by C Corduneanu

The purpose of this book is threefold: to be used for graduate courses on integral equations; to be a reference for researchers; and to describe methods of application of the theory. The author emphasizes the role of Volterra equations as a unifying tool in the study of functional equations, and investigates the relation between abstract Volterra ...

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Equations with Involutive Operators

Equations with Involutive Operators more books like this

by N K Karapetiants

"Equations with Involutive Operators" demonstrates an important interplay between abstract and concrete operator theory. The focus is on the investigation of a number of equations, which, while seemingly different, are all unified by the same idea: they are all realizations of some operator equations in Banach spaces. One permeating theme in these ...

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Computational Methods for Linear Integral Equations

Computational Methods for Linear Integral Equations more books like this

by Prem K Kythe, Pratap Puri

Integral equations have wide applications in various fields, including continuum mechanics, potential theory, geophysics, electricity and magnetism, kinetic theory of gases, hereditary phenomena in physics and biology, renewal theory, quantum mechanics, radiation, optimization, optimal control systems, communication theory, mathematical economics, ...

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Integral Equations: A Practical Treatment, from Spectral Theory to Applications

Integral Equations: A Practical Treatment, from Spectral Theory to Applications more books like this

by David Porter

This book gives a rigorous and practical treatment of integral equations. These are significant because they occur in many problems in mathematics, physics and engineering and they offer a powerful (sometimes the only) technique for solving these problems. The book aims to tackle the solution of integral equations using a blend of abstract ...

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Time Domain Electromagnetics

Time Domain Electromagnetics more books like this

by Sadasiva M Rao (Editor), E K Miller (Introduction by)

Time Domain Electromagnetics deals with a specific technique in electromagnetics within the general area of electrical engineering. This mathematical method has become a standard for a wide variety of applications for design and problem solving. This method of analysis in electromagnetics is directly related to advances in cellular and mobile ...

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Volterra Integral and Functional Equations

Volterra Integral and Functional Equations more books like this

by G Gripenberg, S -O Londen, O Staffans

The rapid development of the theories of Volterra integral and functional equations has been strongly promoted by their applications in physics, engineering and biology. This text shows that the theory of Volterra equations exhibits a rich variety of features not present in the theory of ordinary differential equations. The book is divided into ...

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Handbook of Integral Equations more books like this

by Andrei D Polyanin, Alexander V Manzhirov

Integral equations are encountered in various fields of science and in numerous applications, including elasticity, plasticity, heat and mass transfer, oscillation theory, fluid dynamics, filtration theory, electrostatics, electrodynamics, biomechanics, game theory, control, queuing theory, electrical engineering, economics, and medicine. Exact ...

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Linear integral equations more books like this

by William Vernon Lovitt

Readable and systematic, this volume offers coherent presentations of not only the general theory of linear equations with a single integration, but also of applications to differential equations, the calculus of variations, and special areas in mathematical physics. Topics include the solution of Fredholm's equation expressed as a ratio of two ...

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Mathphys Odyssey 2001 more books like this

by Masaki Kashiwara (Editor), Tetsuji Miwa

Developments in mathematical physics during the second half of the 20th century influenced a number of mathematical areas, among the more significant being representation theory, differential equations, combinatorics, and algebraic geometry. In all of them, the dynamic role of integrable models has been central, largely due to two essential ...

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Integral Equations more books like this

by Smithies

This Tract is devoted to the theory of linear equations, mainly of the second kind, associated with the names of Volterra, Fredholm, Hilbert and Schmidt. The treatment has been modernized by the systematic use of the Lebesgue integral, which considerably widens the range of applicability of the theory. Special attention is paid to the singular ...

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Differential and Integral Equations more books like this

by Peter Collins

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. This text provides a clear, comprehensive guide to first- and second-order ordinary and partial differential equations, whilst introducing important ...

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Partial differential equations of mathematical physics and integral equations more books like this

by Ronald B Guenther

Superb treatment for math and physical science students discusses modern mathematical techniques for setting up and analyzing problems. Discusses partial differential equations of the 1st order, elementary modeling, potential theory, parabolic equations, more.

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Singular Integral Equations: Boundary Problems of Function Theory and Their Application to Mathematical Physics more books like this

by N I Muskhelishvili

High-level treatment of one-dimensional singular integral equations covers Holder Condition, Hilbert and Riemann-Hilbert problems, Dirichlet problem, more. This is the 1953 edition.

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Integral Methods in Science and Engineering: Techniques and Applications more books like this

by C Constanda

The physical world is studied by means of mathematical models, which consist of differential, integral, and integro-differential equations accompanied by a large assortment of initial and boundary conditions. In certain circumstances, such models yield exact analytic solutions. When they do not, they are solved numerically by means of various ...

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Modern nonlinear equations more books like this

by Thomas L. Saaty

Covers major types of classical equations: operator equations, functional equations, difference equations, integro-differential equations and more. Suitable for graduate students as well as scientists, technologists and mathematicians.

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Introduction to Integral Equations with Applications more books like this

by Abdul J. Jerri

From the reviews of the First Edition: "Extremely clear, self-contained text ...offers to a wide class of readers the theoretical foundations and the modern numerical methods of the theory of linear integral equations."-Revue Roumaine de Mathematiques Pures et Appliquees. Abdul Jerri has revised his highly applied book to make it even more useful ...

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Periodic Integral and Pseudodifferential Equations with Numerical Approximation more books like this

by Jukka Saranen, Gennadi Vainikko

Classical boundary integral equations arising from the potential theory and acoustics (Laplace and Helmholtz equations) are derived. Using the parametrization of the boundary these equations take a form of periodic pseudodifferential equations. A general theory of periodic pseudodifferential equations and methods of solving are developed, ...

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Hypersingular Integral Equations and Their Applications more books like this

by Ivan K Lifanov, L N Poltavskii, G Vainikko

Hypersingular Integral Equations and Their Applications presents various methods for solving singular and hypersingular integral equations. In particular, the authors construct new exact analytical solutions of some two-dimensional hypersingular integral equations and obtain an analytical solution in quadratures for the hypersingular equation on ...

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Differential and Integral Equations: Boundary Value Problems and Adjoints more books like this

by Stefan Schwabik, M Tvrdc=, M Tvrda1/2

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The Method of Moments in Electromagnetics more books like this

by Walton C Gibson

"The Methods of Moments in Electromagnetics" presents a practical introduction to this boundary element method for solving partial differential equations. The book provides an in-depth understanding of numerical implementation, integral equations, and electromagnetic theory. Offering a step-by-step discussion of how to use this method properly, ...

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Integrable quantum field theories more books like this

by Bonora

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