Lectures on Differential and Integral Equations

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Publisher : Courier Corporation
ISBN 13 : 9780486666792
Total Pages : 242 pages
Book Rating : 4.6/5 (667 download)

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Book Synopsis Lectures on Differential and Integral Equations by : K?saku Yoshida

Download or read book Lectures on Differential and Integral Equations written by K?saku Yoshida and published by Courier Corporation. This book was released on 1991-01-01 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lucid, self-contained exposition of theory of ordinary differential equations and integral equations. Boundary value problem of second order linear ordinary differential equations, Fredholm integral equations, many other topics. Bibliography. 1960 edition.

Ordinary Differential Equations and Integral Equations

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Publisher : Elsevier
ISBN 13 : 0080929559
Total Pages : 559 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Ordinary Differential Equations and Integral Equations by : C.T.H. Baker

Download or read book Ordinary Differential Equations and Integral Equations written by C.T.H. Baker and published by Elsevier. This book was released on 2001-06-20 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: /homepage/sac/cam/na2000/index.html7-Volume Set now available at special set price ! This volume contains contributions in the area of differential equations and integral equations. Many numerical methods have arisen in response to the need to solve "real-life" problems in applied mathematics, in particular problems that do not have a closed-form solution. Contributions on both initial-value problems and boundary-value problems in ordinary differential equations appear in this volume. Numerical methods for initial-value problems in ordinary differential equations fall naturally into two classes: those which use one starting value at each step (one-step methods) and those which are based on several values of the solution (multistep methods).John Butcher has supplied an expert's perspective of the development of numerical methods for ordinary differential equations in the 20th century. Rob Corless and Lawrence Shampine talk about established technology, namely software for initial-value problems using Runge-Kutta and Rosenbrock methods, with interpolants to fill in the solution between mesh-points, but the 'slant' is new - based on the question, "How should such software integrate into the current generation of Problem Solving Environments?"Natalia Borovykh and Marc Spijker study the problem of establishing upper bounds for the norm of the nth power of square matrices.The dynamical system viewpoint has been of great benefit to ODE theory and numerical methods. Related is the study of chaotic behaviour.Willy Govaerts discusses the numerical methods for the computation and continuation of equilibria and bifurcation points of equilibria of dynamical systems.Arieh Iserles and Antonella Zanna survey the construction of Runge-Kutta methods which preserve algebraic invariant functions.Valeria Antohe and Ian Gladwell present numerical experiments on solving a Hamiltonian system of Hénon and Heiles with a symplectic and a nonsymplectic method with a variety of precisions and initial conditions.Stiff differential equations first became recognized as special during the 1950s. In 1963 two seminal publications laid to the foundations for later development: Dahlquist's paper on A-stable multistep methods and Butcher's first paper on implicit Runge-Kutta methods.Ernst Hairer and Gerhard Wanner deliver a survey which retraces the discovery of the order stars as well as the principal achievements obtained by that theory.Guido Vanden Berghe, Hans De Meyer, Marnix Van Daele and Tanja Van Hecke construct exponentially fitted Runge-Kutta methods with s stages.Differential-algebraic equations arise in control, in modelling of mechanical systems and in many other fields.Jeff Cash describes a fairly recent class of formulae for the numerical solution of initial-value problems for stiff and differential-algebraic systems.Shengtai Li and Linda Petzold describe methods and software for sensitivity analysis of solutions of DAE initial-value problems.Again in the area of differential-algebraic systems, Neil Biehn, John Betts, Stephen Campbell and William Huffman present current work on mesh adaptation for DAE two-point boundary-value problems.Contrasting approaches to the question of how good an approximation is as a solution of a given equation involve (i) attempting to estimate the actual error (i.e., the difference between the true and the approximate solutions) and (ii) attempting to estimate the defect - the amount by which the approximation fails to satisfy the given equation and any side-conditions.The paper by Wayne Enright on defect control relates to carefully analyzed techniques that have been proposed both for ordinary differential equations and for delay differential equations in which an attempt is made to control an estimate of the size of the defect.Many phenomena incorporate noise, and the numerical solution of

Linear Integral Equations

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Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Linear Integral Equations by : Ernest Godfrey Kimme

Download or read book Linear Integral Equations written by Ernest Godfrey Kimme and published by . This book was released on 1959 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bulletin of the American Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 582 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Bulletin of the American Mathematical Society by : American Mathematical Society

Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1913 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cruickshank Science Library, Subject Catalogue

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Publisher :
ISBN 13 :
Total Pages : 348 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Cruickshank Science Library, Subject Catalogue by : University of Aberdeen. Cruickshank Science Library

Download or read book Cruickshank Science Library, Subject Catalogue written by University of Aberdeen. Cruickshank Science Library and published by . This book was released on 1921 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Subject Catalogue

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Publisher :
ISBN 13 :
Total Pages : 354 pages
Book Rating : 4.:/5 (334 download)

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Book Synopsis Subject Catalogue by : University of Aberdeen. Cruickshank Science Library

Download or read book Subject Catalogue written by University of Aberdeen. Cruickshank Science Library and published by . This book was released on 1921 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Revue Semestrielle Des Publications Mathématiques

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Publisher :
ISBN 13 :
Total Pages : 624 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Revue Semestrielle Des Publications Mathématiques by :

Download or read book Revue Semestrielle Des Publications Mathématiques written by and published by . This book was released on 1914 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Time-Lag Control Systems

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Publisher : Academic Press
ISBN 13 : 0080955304
Total Pages : 337 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Time-Lag Control Systems by : Og?uzto?reli

Download or read book Time-Lag Control Systems written by Og?uzto?reli and published by Academic Press. This book was released on 1966-01-01 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time-Lag Control Systems

Introduction to Nonlinear Differential and Integral Equations

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Publisher :
ISBN 13 :
Total Pages : 600 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Introduction to Nonlinear Differential and Integral Equations by : Harold Thayer Davis

Download or read book Introduction to Nonlinear Differential and Integral Equations written by Harold Thayer Davis and published by . This book was released on 1961 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Development of Mathematics

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Publisher : Courier Corporation
ISBN 13 : 0486152286
Total Pages : 657 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis The Development of Mathematics by : E. T. Bell

Download or read book The Development of Mathematics written by E. T. Bell and published by Courier Corporation. This book was released on 2012-09-11 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.

Classical Mechanics and Quantum Mechanics: An Historic-Axiomatic Approach

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Publisher : Bentham Science Publishers
ISBN 13 : 1681084503
Total Pages : 380 pages
Book Rating : 4.6/5 (81 download)

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Book Synopsis Classical Mechanics and Quantum Mechanics: An Historic-Axiomatic Approach by : Peter Enders

Download or read book Classical Mechanics and Quantum Mechanics: An Historic-Axiomatic Approach written by Peter Enders and published by Bentham Science Publishers. This book was released on 2019-09-05 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique textbook presents a novel, axiomatic pedagogical path from classical to quantum physics. Readers are introduced to the description of classical mechanics, which rests on Euler’s and Helmholtz’s rather than Newton’s or Hamilton’s representations. Special attention is given to the common attributes rather than to the differences between classical and quantum mechanics. Readers will also learn about Schrödinger’s forgotten demands on quantization, his equation, Einstein’s idea of ‘quantization as selection problem’. The Schrödinger equation is derived without any assumptions about the nature of quantum systems, such as interference and superposition, or the existence of a quantum of action, h. The use of the classical expressions for the potential and kinetic energies within quantum physics is justified. Key features: · Presents extensive reference to original texts. · Includes many details that do not enter contemporary representations of classical mechanics, although these details are essential for understanding quantum physics. · Contains a simple level of mathematics which is seldom higher than that of the common (Riemannian) integral. · Brings information about important scientists · Carefully introduces basic equations, notations and quantities in simple steps This book addresses the needs of physics students, teachers and historians with its simple easy to understand presentation and comprehensive approach to both classical and quantum mechanics..

Bombay University Handbook

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Publisher :
ISBN 13 :
Total Pages : 580 pages
Book Rating : 4.:/5 (28 download)

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Book Synopsis Bombay University Handbook by : University of Bombay

Download or read book Bombay University Handbook written by University of Bombay and published by . This book was released on 1926 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Volterra Integral and Differential Equations

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Publisher : Academic Press
ISBN 13 : 0080956734
Total Pages : 325 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Volterra Integral and Differential Equations by : Burton

Download or read book Volterra Integral and Differential Equations written by Burton and published by Academic Press. This book was released on 1983-11-04 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volterra Integral and Differential Equations

Volterra Integral and Differential Equations

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Publisher : Elsevier
ISBN 13 : 0080459552
Total Pages : 369 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Volterra Integral and Differential Equations by : Ted A. Burton

Download or read book Volterra Integral and Differential Equations written by Ted A. Burton and published by Elsevier. This book was released on 2005-04-01 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most mathematicians, engineers, and many other scientists are well-acquainted with theory and application of ordinary differential equations. This book seeks to present Volterra integral and functional differential equations in that same framwork, allowing the readers to parlay their knowledge of ordinary differential equations into theory and application of the more general problems. Thus, the presentation starts slowly with very familiar concepts and shows how these are generalized in a natural way to problems involving a memory. Liapunov's direct method is gently introduced and applied to many particular examples in ordinary differential equations, Volterra integro-differential equations, and functional differential equations. By Chapter 7 the momentum has built until we are looking at problems on the frontier. Chapter 7 is entirely new, dealing with fundamental problems of the resolvent, Floquet theory, and total stability. Chapter 8 presents a solid foundation for the theory of functional differential equations. Many recent results on stability and periodic solutions of functional differential equations are given and unsolved problems are stated. - Smooth transition from ordinary differential equations to integral and functional differential equations - Unification of the theories, methods, and applications of ordinary and functional differential equations - Large collection of examples of Liapunov functions - Description of the history of stability theory leading up to unsolved problems - Applications of the resolvent to stability and periodic problems

An Introduction to Mathematical Population Dynamics

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Publisher : Springer
ISBN 13 : 3319030264
Total Pages : 351 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis An Introduction to Mathematical Population Dynamics by : Mimmo Iannelli

Download or read book An Introduction to Mathematical Population Dynamics written by Mimmo Iannelli and published by Springer. This book was released on 2015-01-23 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to mathematical biology for students with no experience in biology, but who have some mathematical background. The work is focused on population dynamics and ecology, following a tradition that goes back to Lotka and Volterra, and includes a part devoted to the spread of infectious diseases, a field where mathematical modeling is extremely popular. These themes are used as the area where to understand different types of mathematical modeling and the possible meaning of qualitative agreement of modeling with data. The book also includes a collections of problems designed to approach more advanced questions. This material has been used in the courses at the University of Trento, directed at students in their fourth year of studies in Mathematics. It can also be used as a reference as it provides up-to-date developments in several areas.

Mathematics Department Report

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Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematics Department Report by : Naval Ordnance Laboratory (White Oak, Md.)

Download or read book Mathematics Department Report written by Naval Ordnance Laboratory (White Oak, Md.) and published by . This book was released on with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fourier Transforms in the Complex Domain

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Publisher : American Mathematical Soc.
ISBN 13 : 0821810197
Total Pages : 196 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Fourier Transforms in the Complex Domain by : Raymond Edward Alan Christopher Paley

Download or read book Fourier Transforms in the Complex Domain written by Raymond Edward Alan Christopher Paley and published by American Mathematical Soc.. This book was released on 1934-12-31 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the aid of Fourier-Mellin transforms as a tool in analysis, the authors were able to attack such diverse analytic questions as those of quasi-analytic functions, Mercer's theorem on summability, Milne's integral equation of radiative equilibrium, the theorems of Munz and Szasz concerning the closure of sets of powers of an argument, Titchmarsh's theory of entire functions of semi-exponential type with real negative zeros, trigonometric interpolation and developments in polynomials of the form $\sum^N_1A_ne^{i\lambda_nx}$, lacunary series, generalized harmonic analysis in the complex domain, the zeros of random functions, and many others.