Text Book On Integral Equations And Elementary Differential Equations
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Principles Of Differential And Integral Equations
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Author : C. Corduneanu
language : en
Publisher: American Mathematical Soc.
Release Date : 1977-01-30
Principles Of Differential And Integral Equations written by C. Corduneanu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-01-30 with Mathematics categories.
In summary, the author has provided an elegant introduction to important topics in the theory of ordinary differential equations and integral equations. -- Mathematical Reviews This book is intended for a one-semester course in differential and integral equations for advanced undergraduates or beginning graduate students, with a view toward preparing the reader for graduate-level courses on more advanced topics. There is some emphasis on existence, uniqueness, and the qualitative behavior of solutions. Students from applied mathematics, physics, and engineering will find much of value in this book. The first five chapters cover ordinary differential equations. Chapter 5 contains a good treatment of the stability of ODEs. The next four chapters cover integral equations, including applications to second-order differential equations. Chapter 7 is a concise introduction to the important Fredholm theory of linear integral equations. The final chapter is a well-selected collection of fascinating miscellaneous facts about differential and integral equations. The prerequisites are a good course in advanced calculus, some preparation in linear algebra, and a reasonable acquaintance with elementary complex analysis. There are exercises throughout the text, with the more advanced of them providing good challenges to the student.
Text Book On Integral Equations And Elementary Differential Equations
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Author : Gorakh Prasad
language : en
Publisher:
Release Date : 1967
Text Book On Integral Equations And Elementary Differential Equations written by Gorakh Prasad and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Calculus, Integral categories.
Integral Equations
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Author : Jirō Kondō
language : en
Publisher: Oxford University Press, USA
Release Date : 1991
Integral Equations written by Jirō Kondō and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
Integral equations arise in a very wide variety of mathematical and scientific problems. This textbook is devoted to the study and solution of such equations and it simultaneously provides a unified treatment of the theory together with a description of the range of methods for their solution. Professor Kondo's wide experience in science and engineering ensures that the many applications presented here are both up-to-date and relevant to current problems. Throughout, a wide selection of exercises will help further a student's understanding of the subject as well as give them a familiarity with the most important methods of solution. Consequently, this book will be ideal for final year undergraduates and postgraduates studying integral equations for the first time. All the main classes of integral equations are covered, including Volterra, Fredholm, and nonlinear integral equations. The close relationship with differential equations is also explored in order that students develop an understanding of the relationship between the two classes of equation and their relative merits for solving problems.
Text Book On Integral Equations And Elementary Differential Equations
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Author : Gorakh Prasad
language : en
Publisher:
Release Date : 1961
Text Book On Integral Equations And Elementary Differential Equations written by Gorakh Prasad and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Calculus, Integral categories.
Integral Equations And Their Applications
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Author : Matiur Rahman
language : en
Publisher: WIT Press
Release Date : 2007
Integral Equations And Their Applications written by Matiur Rahman and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
The book deals with linear integral equations, that is, equations involving an unknown function which appears under the integral sign and contains topics such as Abel's integral equation, Volterra integral equations, Fredholm integral integral equations, singular and nonlinear integral equations, orthogonal systems of functions, Green's function as a symmetric kernel of the integral equations.
Ordinary Differential Equations
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Author : James Morris Page
language : en
Publisher:
Release Date : 1897
Ordinary Differential Equations written by James Morris Page and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1897 with Mathematics categories.
Textbook Of Integral Calculus And Elementary Differential Equation
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Author : Quddus Khan
language : en
Publisher: Misha Books
Release Date : 2020-07-22
Textbook Of Integral Calculus And Elementary Differential Equation written by Quddus Khan and has been published by Misha Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-22 with Mathematics categories.
The book is intended to serve as as a textbook for undergraduate and honors students. It will be useful to the engineering and management students, and other applied areas. It will also be helpful in preparing for competitive examinations like IAS, IES, NET, PCS, and other higher education exams. Key Features: Basic concepts presented in an easy to understand style, Notes and remarks given at appropriate places, clean and clear figures given for better understanding, includes a large number of solved examples, Exercise questions at the end of each chapter, Presentation of the subject in a natural way.
Ordinary Differential Equations
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Author : Morris Tenenbaum
language : en
Publisher: Courier Dover Publications
Release Date : 1963
Ordinary Differential Equations written by Morris Tenenbaum and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Mathematics categories.
Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.
Differential And Integral Equations Through Practical Problems And Exercises
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Author : G. Micula
language : en
Publisher: Springer Science & Business Media
Release Date : 1992-08-31
Differential And Integral Equations Through Practical Problems And Exercises written by G. Micula and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-08-31 with Mathematics categories.
Many important phenomena are described and modeled by means of differential and integral equations. To understand these phenomena necessarily implies being able to solve the differential and integral equations that model them. Such equations, and the development of techniques for solving them, have always held a privileged place in the mathematical sciences. Today, theoretical advances have led to more abstract and comprehensive theories which are increasingly more complex in their mathematical concepts. Theoretical investigations along these lines have led to even more abstract and comprehensive theories, and to increasingly complex mathematical concepts. Long-standing teaching practice has, however, shown that the theory of differential and integral equations cannot be studied thoroughly and understood by mere contemplation. This can only be achieved by acquiring the necessary techniques; and the best way to achieve this is by working through as many different exercises as possible. The eight chapters of this book contain a large number of problems and exercises, selected on the basis of long experience in teaching students, which together with the author's original problems cover the whole range of current methods employed in solving the integral, differential equations, and the partial differential equations of order one, without, however, renouncing the classical problems. Every chapter of this book begins with the succinct theoretical exposition of the minimum of knowledge required to solve the problems and exercises therein.
Introduction To Integral Equations With Applications
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Author : Abdul J. Jerri
language : en
Publisher: John Wiley & Sons
Release Date : 1999-09-03
Introduction To Integral Equations With Applications written by Abdul J. Jerri and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-09-03 with Mathematics categories.
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 Appliquées. Abdul Jerri has revised his highly applied book to make it even more useful for scientists and engineers, as well as mathematicians. Covering the fundamental ideas and techniques at a level accessible to anyone with a solid undergraduate background in calculus and differential equations, Dr. Jerri clearly demonstrates how to use integral equations to solve real-world engineering and physics problems. This edition provides precise guidelines to the basic methods of solutions, details more varied numerical methods, and substantially boosts the total of practical examples and exercises. Plus, it features added emphasis on the basic theorems for the existence and uniqueness of solutions of integral equations and points out the interrelation between differentiation and integration. Other features include: * A new section on integral equations in higher dimensions. * An improved presentation of the Laplace and Fourier transforms. * A new detailed section for Fredholm integral equations of the first kind. * A new chapter covering the basic higher quadrature numerical integration rules. * A concise introduction to linear and nonlinear integral equations. * Clear examples of singular integral equations and their solutions. * A student's solutions manual available directly from the author.