Differential And Integral Equations Through Practical Problems And Exercises

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Differential and Integral Equations through Practical Problems and Exercises

G. Micula,Paraschiva Pavel
Differential and Integral Equations through Practical Problems and Exercises Book PDF

Author : G. Micula,Paraschiva Pavel
Publisher : Springer Science & Business Media
Page : 403 pages
File Size : 55,9 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401580243

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Differential and Integral Equations through Practical Problems and Exercises by G. Micula,Paraschiva Pavel Pdf

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.

Differential and Integral Equations

Peter J. Collins
Differential and Integral Equations Book PDF

Author : Peter J. Collins
Publisher : OUP Oxford
Page : 392 pages
File Size : 42,5 Mb
Release : 2006-08-03
Category : Mathematics
ISBN : 9780191524004

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Differential and Integral Equations by Peter J. Collins Pdf

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 and useful basic material on integral equations. Readers will encounter detailed discussion of the wave, heat and Laplace equations, of Green's functions and their application to the Sturm-Liouville equation, and how to use series solutions, transform methods and phase-plane analysis. The calculus of variations will take them further into the world of applied analysis. Providing a wealth of techniques, but yet satisfying the needs of the pure mathematician, and with numerous carefully worked examples and exercises, the text is ideal for any undergraduate with basic calculus to gain a thorough grounding in 'analysis for applications'.

Principles of Differential and Integral Equations

C. Corduneanu
Principles of Differential and Integral Equations Book PDF

Author : C. Corduneanu
Publisher : American Mathematical Soc.
Page : 205 pages
File Size : 47,6 Mb
Release : 2008-05-09
Category : Mathematics
ISBN : 9780821846223

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Principles of Differential and Integral Equations by C. Corduneanu Pdf

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.

A First Course in Integral Equations

Abdul-Majid Wazwaz
A First Course in Integral Equations Book PDF

Author : Abdul-Majid Wazwaz
Publisher : World Scientific Publishing Company
Page : 328 pages
File Size : 47,7 Mb
Release : 2015-05-04
Category : Mathematics
ISBN : 9789814675147

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A First Course in Integral Equations by Abdul-Majid Wazwaz Pdf

This second edition integrates the newly developed methods with classical techniques to give both modern and powerful approaches for solving integral equations. It provides a comprehensive treatment of linear and nonlinear Fredholm and Volterra integral equations of the first and second kinds. The materials are presented in an accessible and straightforward manner to readers, particularly those from non-mathematics backgrounds. Numerous well-explained applications and examples as well as practical exercises are presented to guide readers through the text. Selected applications from mathematics, science and engineering are investigated by using the newly developed methods. This volume consists of nine chapters, pedagogically organized, with six chapters devoted to linear integral equations, two chapters on nonlinear integral equations, and the last chapter on applications. It is intended for scholars and researchers, and can be used for advanced undergraduate and graduate students in applied mathematics, science and engineering. Click here for solutions manual.

A First Course in Integral Equations

Abdul-Majid Wazwaz
A First Course in Integral Equations Book PDF

Author : Abdul-Majid Wazwaz
Publisher : World Scientific
Page : 228 pages
File Size : 50,9 Mb
Release : 1997
Category : Mathematics
ISBN : 9810231016

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A First Course in Integral Equations by Abdul-Majid Wazwaz Pdf

This book presents the subject of integral equations in an accessible manner for a variety of applications. Emphasis is placed on understanding the subject while avoiding the abstract and compact theorems. A distinctive feature of the book is that it introduces the recent powerful and reliable developments in this field, which are not covered in traditional texts. The newly developed decomposition method, the series solution method and the direct computation method are thoroughly implemented, which allows the topic to be far more accessible. The book also includes some of the traditional techniques for comparison.Using the newly developed methods, the author successfully handles Fredholm and Volterra integral equations, singular integral equations, integro-differential equations and nonlinear integral equations, with promising results for linear and nonlinear models. Many examples are given to introduce the material in a clear and thorough fashion. In addition, many exercises are provided to build confidence, ease and skill in using the new methods.This book may be used as a text for advanced undergraduates and graduate students in mathematics and scientific areas, and as a work of reference for research study of differential equations and numerical analysis.

Introduction to Integral Equations with Applications

Abdul J. Jerri
Introduction to Integral Equations with Applications Book PDF

Author : Abdul J. Jerri
Publisher : Unknown
Page : 280 pages
File Size : 55,5 Mb
Release : 1985
Category : Integral equations
ISBN : UCAL:B4406100

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Introduction to Integral Equations with Applications by Abdul J. Jerri Pdf

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.

Integral Equations and Boundary Value Problems

MD Raisinghania
Integral Equations and Boundary Value Problems Book PDF

Author : MD Raisinghania
Publisher : S. Chand Publishing
Page : 128 pages
File Size : 51,9 Mb
Release : 2024-06-01
Category : Electronic
ISBN : 9789352838950

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Integral Equations and Boundary Value Problems by MD Raisinghania Pdf

The tenth edition of Integral Equations and Boundary Value Problems continues to offer an in-depth presentation of integral equations for the solution of boundary value problems. The book provides a plethora of examples and step-by-step presentation of definitions, proofs of the standard results and theorems which enhance students' problem-solving skills. Solved examples and numerous problems with hints and answers have been carefully chosen, classified in various types and methods, and presented to illustrate the concepts discussed. With the author's vast experience of teaching mathematics, his approach of providing a one-stop solution to the students' problems is engaging which goes a long way for the reader to retain the knowledge gained.

Introduction to Nonlinear Differential and Integral Equations

Harold Thayer Davis
Introduction to Nonlinear Differential and Integral Equations Book PDF

Author : Harold Thayer Davis
Publisher : Courier Corporation
Page : 598 pages
File Size : 45,6 Mb
Release : 1962-01-01
Category : Mathematics
ISBN : 0486609715

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Introduction to Nonlinear Differential and Integral Equations by Harold Thayer Davis Pdf

Topics covered include differential equations of the 1st order, the Riccati equation and existence theorems, 2nd order equations, elliptic integrals and functions, nonlinear mechanics, nonlinear integral equations, more. Includes 137 problems.

Integral Equations

F. G. Tricomi
Integral Equations Book PDF

Author : F. G. Tricomi
Publisher : Courier Corporation
Page : 256 pages
File Size : 55,9 Mb
Release : 2012-04-27
Category : Mathematics
ISBN : 9780486158303

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Integral Equations by F. G. Tricomi Pdf

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.

Introduction to Integral Equations with Applications

Abdul J. Jerri
Introduction to Integral Equations with Applications Book PDF

Author : Abdul J. Jerri
Publisher : Unknown
Page : 272 pages
File Size : 53,9 Mb
Release : 1999-09-01
Category : Integral equations
ISBN : 0967330106

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Introduction to Integral Equations with Applications by Abdul J. Jerri Pdf

This is the first book on solved problems in integral equations. It is prepared to accompany the author's textbook "Introduction to Integral Equations with Applications - 2nd ed., Wiley & Sons, Inc., 1999", which is the first complete & applicable undergraduate text on the subject. The manual contains very detailed solutions to more than half the problems in the text besides statements & solutions to additional exercises, that are covered to serve illustrating the introductory material in the more advanced books. As for the accompanied text, both books model a variety of real world problems & are accessible to undergraduate students & interested readers with preparation in basic calculus & differential equation courses. Librarians will find this package invaluable for their readers with the need to learn about integral equations. There is no doubt that it will also fill a very proper space in college book stores as the real introductory & complete books on the subject. The package discusses & illustrates in full details, the most basic exact, approximate & numerical solutions to the basic integral equations. Coming in September, 1999. To order: Telephone (315)265-2755, (315)265-1005, Fax (315)265-2755, e-mail:[email protected], [email protected]. Send $29.95 plus $2.95 for shipping & handling in the United States & Canada & $4.95 abroad (in US currency - major credit cards accepted) to: Attn. S.A. Jerri, 69 Leroy Street, Potsdam, MY 13676, USA. See the web site: http://www.clarkson.edu/-jerria/solnman.

Integral Equations

Wolfgang Hackbusch
Integral Equations Book PDF

Author : Wolfgang Hackbusch
Publisher : Birkhäuser
Page : 377 pages
File Size : 44,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034892155

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Integral Equations by Wolfgang Hackbusch Pdf

The theory of integral equations has been an active research field for many years and is based on analysis, function theory, and functional analysis. On the other hand, integral equations are of practical interest because of the «boundary integral equation method», which transforms partial differential equations on a domain into integral equations over its boundary. This book grew out of a series of lectures given by the author at the Ruhr-Universitat Bochum and the Christian-Albrecht-Universitat zu Kiel to students of mathematics. The contents of the first six chapters correspond to an intensive lecture course of four hours per week for a semester. Readers of the book require background from analysis and the foundations of numeri cal mathematics. Knowledge of functional analysis is helpful, but to begin with some basic facts about Banach and Hilbert spaces are sufficient. The theoretical part of this book is reduced to a minimum; in Chapters 2, 4, and 5 more importance is attached to the numerical treatment of the integral equations than to their theory. Important parts of functional analysis (e. g. , the Riesz-Schauder theory) are presented without proof. We expect the reader either to be already familiar with functional analysis or to become motivated by the practical examples given here to read a book about this topic. We recall that also from a historical point of view, functional analysis was initially stimulated by the investigation of integral equations.

Integration for Calculus, Analysis, and Differential Equations

Markin Marat V
Integration for Calculus Analysis and Differential Equations Book PDF

Author : Markin Marat V
Publisher : World Scientific
Page : 176 pages
File Size : 40,8 Mb
Release : 2012-03-09
Category : Mathematics
ISBN : 9789813272057

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Integration for Calculus, Analysis, and Differential Equations by Markin Marat V Pdf

The book assists Calculus students to gain a better understanding and command of integration and its applications. It reaches to students in more advanced courses such as Multivariable Calculus, Differential Equations, and Analysis, where the ability to effectively integrate is essential for their success. Keeping the reader constantly focused on the three principal epistemological questions: 'What for?', 'Why?', and 'How?', the book is designated as a supplementary instructional tool and consists of The Answers to all the 192 Problems are provided in the Answer Key. The book will benefit undergraduates, advanced undergraduates, and members of the public with an interest in science and technology, helping them to master techniques of integration at the level expected in a calculus course.

Linear and Nonlinear Integral Equations

Abdul-Majid Wazwaz
Linear and Nonlinear Integral Equations Book PDF

Author : Abdul-Majid Wazwaz
Publisher : Springer Science & Business Media
Page : 639 pages
File Size : 49,6 Mb
Release : 2011-11-24
Category : Mathematics
ISBN : 9783642214493

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Linear and Nonlinear Integral Equations by Abdul-Majid Wazwaz Pdf

Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce and complement the existing procedures for solving linear integral equations. The Volterra integral and integro-differential equations, the Fredholm integral and integro-differential equations, the Volterra-Fredholm integral equations, singular and weakly singular integral equations, and systems of these equations, are handled in this part by using many different computational schemes. Selected worked-through examples and exercises will guide readers through the text. Part II provides an extensive exposition on the nonlinear integral equations and their varied applications, presenting in an accessible manner a systematic treatment of ill-posed Fredholm problems, bifurcation points, and singular points. Selected applications are also investigated by using the powerful Padé approximants. This book is intended for scholars and researchers in the fields of physics, applied mathematics and engineering. It can also be used as a text for advanced undergraduate and graduate students in applied mathematics, science and engineering, and related fields. Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University in Chicago, Illinois, USA.

Exercises in Basic Ring Theory

Grigore Calugareanu,P. Hamburg
Exercises in Basic Ring Theory Book PDF

Author : Grigore Calugareanu,P. Hamburg
Publisher : Springer Science & Business Media
Page : 193 pages
File Size : 45,7 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401590044

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Exercises in Basic Ring Theory by Grigore Calugareanu,P. Hamburg Pdf

Each undergraduate course of algebra begins with basic notions and results concerning groups, rings, modules and linear algebra. That is, it begins with simple notions and simple results. Our intention was to provide a collection of exercises which cover only the easy part of ring theory, what we have named the "Basics of Ring Theory". This seems to be the part each student or beginner in ring theory (or even algebra) should know - but surely trying to solve as many of these exercises as possible independently. As difficult (or impossible) as this may seem, we have made every effort to avoid modules, lattices and field extensions in this collection and to remain in the ring area as much as possible. A brief look at the bibliography obviously shows that we don't claim much originality (one could name this the folklore of ring theory) for the statements of the exercises we have chosen (but this was a difficult task: indeed, the 28 titles contain approximatively 15.000 problems and our collection contains only 346). The real value of our book is the part which contains all the solutions of these exercises. We have tried to draw up these solutions as detailed as possible, so that each beginner can progress without skilled help. The book is divided in two parts each consisting of seventeen chapters, the first part containing the exercises and the second part the solutions.

Integral Equations on Time Scales

Svetlin G. Georgiev
Integral Equations on Time Scales Book PDF

Author : Svetlin G. Georgiev
Publisher : Springer
Page : 402 pages
File Size : 50,8 Mb
Release : 2016-10-30
Category : Mathematics
ISBN : 9789462392281

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Integral Equations on Time Scales by Svetlin G. Georgiev Pdf

This book offers the reader an overview of recent developments of integral equations on time scales. It also contains elegant analytical and numerical methods. This book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. The students in mathematical and physical sciences will find many sections of direct relevance. The book contains nine chapters and each chapter is pedagogically organized. This book is specially designed for those who wish to understand integral equations on time scales without having extensive mathematical background.