An Introduction To Ordinary Differential Equations
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An Introduction To Ordinary Differential Equations
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Author : Earl A. Coddington
language : en
Publisher:
Release Date : 1961
An Introduction To Ordinary Differential Equations written by Earl A. Coddington and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Differential equations categories.
This book is meant to be a text which can be used for a first course in ordinary differential equations. The student is assumed to have a knowledge of calculus but not what is usually called advanced calculus. The aim is to give an elementary, thorough systematic introduction to the subject. All significant results are stated as theorems, and careful proofs are given. The exercises in the book serve two purposes: to develop the student's technique in solving equations, or to help sharpen the student's understanding of the mathematical structure of the subject. The exercises also introduce the student to a variety of topics not treated in the text: stability, equations with periodic coefficients, and boundary value problems.
Introduction To Ordinary Differential Equations
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Author : Albert L. Rabenstein
language : en
Publisher: Academic Press
Release Date : 2014-05-12
Introduction To Ordinary Differential Equations written by Albert L. Rabenstein and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Mathematics categories.
Introduction to Ordinary Differential Equations is a 12-chapter text that describes useful elementary methods of finding solutions using ordinary differential equations. This book starts with an introduction to the properties and complex variable of linear differential equations. Considerable chapters covered topics that are of particular interest in applications, including Laplace transforms, eigenvalue problems, special functions, Fourier series, and boundary-value problems of mathematical physics. Other chapters are devoted to some topics that are not directly concerned with finding solutions, and that should be of interest to the mathematics major, such as the theorems about the existence and uniqueness of solutions. The final chapters discuss the stability of critical points of plane autonomous systems and the results about the existence of periodic solutions of nonlinear equations. This book is great use to mathematicians, physicists, and undergraduate students of engineering and the science who are interested in applications of differential equation.
An Introduction To Ordinary Differential Equations
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Author : James C. Robinson
language : en
Publisher: Cambridge University Press
Release Date : 2004-01-08
An Introduction To Ordinary Differential Equations written by James C. Robinson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-08 with Mathematics categories.
A first course in ordinary differential equations for mathematicians, scientists and engineers. Solutions are provided.
An Introduction To Ordinary Differential Equations
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Author : Earl Alexander Coddington
language : en
Publisher:
Release Date : 1965
An Introduction To Ordinary Differential Equations written by Earl Alexander Coddington and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.
An Introduction To Ordinary Differential Equations
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Author : Ravi P. Agarwal
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-10
An Introduction To Ordinary Differential Equations written by Ravi P. Agarwal 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 2008-12-10 with Mathematics categories.
Ordinary differential equations serve as mathematical models for many exciting real world problems. Rapid growth in the theory and applications of differential equations has resulted in a continued interest in their study by students in many disciplines. This textbook organizes material around theorems and proofs, comprising of 42 class-tested lectures that effectively convey the subject in easily manageable sections. The presentation is driven by detailed examples that illustrate how the subject works. Numerous exercise sets, with an "answers and hints" section, are included. The book further provides a background and history of the subject.
Introduction To Ordinary Differential Equations
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Author : Shepley L. Ross
language : en
Publisher: John Wiley & Sons
Release Date : 1980
Introduction To Ordinary Differential Equations written by Shepley L. Ross 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 1980 with Mathematics categories.
Introduction To Ordinary Differential Equations
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Author : Albert L. Rabenstein
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Introduction To Ordinary Differential Equations written by Albert L. Rabenstein and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Introduction to Ordinary Differential Equations, Second Edition provides an introduction to differential equations. This book presents the application and includes problems in chemistry, biology, economics, mechanics, and electric circuits. Organized into 12 chapters, this edition begins with an overview of the methods for solving single differential equations. This text then describes the important basic properties of solutions of linear differential equations and explains higher-order linear equations. Other chapters consider the possibility of representing the solutions of certain linear differential equations in terms of power series. This book discusses as well the important properties of the gamma function and explains the stability of solutions and the existence of periodic solutions. The final chapter deals with the method for the construction of a solution of the integral equation and explains how to establish the existence of a solution of the initial value system. This book is a valuable resource for mathematicians, students, and research workers.
Introduction To Ordinary Differential Equations With Mathematica
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Author : Alfred Gray
language : en
Publisher: Springer
Release Date : 1997-06-20
Introduction To Ordinary Differential Equations With Mathematica written by Alfred Gray and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-06-20 with Computers categories.
These materials - developed and thoroughly class tested over many years by the authors -are for use in courses at the sophomore/junior level. A prerequisite is the calculus of one variable, although calculus of several variables, and linear algebra are recommended. The text covers the standard topics in first and second order equations, power series solutions, first order systems, Laplace transforms, numerical methods and stability of non-linear systems. Liberal use is made of programs in Mathematica, both for symbolic computations and graphical displays. The programs are described in separate sections, as well as in the accompanying Mathematica notebooks. However, the book has been designed so that it can be read with or without Mathematica and no previous knowledge of Mathematica is required. The CD-ROM contains the Mathematica solution of worked examples, a selection of various Mathematica notebooks, Mathematica movies and sample labs for students. Mathematica programs and additional problem/example files will be available online through the TELOS Web site and the authors dedicated web site.
An Introduction To Ordinary Differential Equations
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Author : James Cooper Robinson
language : en
Publisher:
Release Date : 2004-01-08
An Introduction To Ordinary Differential Equations written by James Cooper Robinson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-08 with Calculus categories.
A first course in ordinary differential equations for mathematicians, scientists and engineers. Solutions are provided.
Introduction To Theory Of Ordinary Differential Equation
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Author : V. DHARMAIAH
language : en
Publisher: PHI Learning Pvt. Ltd.
Release Date : 2012-09-19
Introduction To Theory Of Ordinary Differential Equation written by V. DHARMAIAH and has been published by PHI Learning Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-19 with Mathematics categories.
This systematically-organized text on the theory of differential equations deals with the basic concepts and the methods of solving ordinary differential equations. Various existence theorems, properties of uniqueness, oscillation and stability theories, have all been explained with suitable examples to enhance students’ understanding of the subject. The book also discusses in sufficient detail the qualitative, the quantitative, and the approximation techniques, linear equations with variable and constants coefficients, regular singular points, and homogeneous equations with analytic coefficients. Finally, it explains Riccati equation, boundary value problems, the Sturm–Liouville problem, Green’s function, the Picard’s theorem, and the Sturm–Picone theorem. The text is supported by a number of worked-out examples to make the concepts clear, and it also provides a number of exercises help students test their knowledge and improve their skills in solving differential equations. The book is intended to serve as a text for the postgraduate students of mathematics and applied mathematics. It will also be useful to the candidates preparing to sit for the competitive examinations such as NET and GATE.