Theory Of Ordinary Differential Equations
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Theory Of Ordinary Differential Equations
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Author : Earl A. Coddington
language : en
Publisher: Tata McGraw-Hill Education
Release Date : 1955
Theory Of Ordinary Differential Equations written by Earl A. Coddington and has been published by Tata McGraw-Hill Education this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with Boundary value problems categories.
This book has developed from courses given by the authors and probably contains more material than will ordinarily be covered in a one-year course. It is hoped that the book will be a useful text in the application of differential equations as well as for the pure mathematician. Prerequisite for this book is a knowledge of matrices and the essentials of functions in a complex variable. The book thoroughly addresses linear equations, and touches on the use of the Riemann-Stieltjes integral, and the Lebesgue integral, and the theorems required from integration theory. The problems, in some cases, give additional material not considered in the text.
The Qualitative Theory Of Ordinary Differential Equations
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Author : Fred Brauer
language : en
Publisher: Courier Corporation
Release Date : 2012-12-11
The Qualitative Theory Of Ordinary Differential Equations written by Fred Brauer and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-11 with Mathematics categories.
Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. Focuses on stability theory and its applications to oscillation phenomena, self-excited oscillations, more. Includes exercises.
Theory And Examples Of Ordinary Differential Equations
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Author : Chin-yuan Lin
language : en
Publisher: World Scientific Publishing Company
Release Date : 2011-01-03
Theory And Examples Of Ordinary Differential Equations written by Chin-yuan Lin and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-03 with Mathematics categories.
This book presents a complete theory of ordinary differential equations, with many illustrative examples and interesting exercises. A rigorous treatment is offered with clear proofs for the theoretical results and with detailed solutions for the examples and problems.This book is intended for undergraduate students who major in mathematics and have acquired a prerequisite knowledge of calculus and partly the knowledge of a complex variable, and are now reading advanced calculus and linear algebra. Additionally, the comprehensive coverage of the theory with a wide array of examples and detailed solutions, would appeal to mathematics graduate students and researchers as well as graduate students in majors of other disciplines.As a handy reference, advanced knowledge is provided as well with details developed beyond the basics; optional sections, where main results are extended, offer an understanding of further applications of ordinary differential equations.
Theory Of Ordinary Differential Equations
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Author :
language : en
Publisher:
Release Date : 1987
Theory Of Ordinary Differential Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Ordinary Differential Equations
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Author : J. Kurzweil
language : en
Publisher: Elsevier
Release Date : 2014-06-28
Ordinary Differential Equations written by J. Kurzweil and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.
The author, Professor Kurzweil, is one of the world's top experts in the area of ordinary differential equations - a fact fully reflected in this book. Unlike many classical texts which concentrate primarily on methods of integration of differential equations, this book pursues a modern approach: the topic is discussed in full generality which, at the same time, permits us to gain a deep insight into the theory and to develop a fruitful intuition. The basic framework of the theory is expanded by considering further important topics like stability, dependence of a solution on a parameter, Carathéodory's theory and differential relations.The book is very well written, and the prerequisites needed are minimal - some basics of analysis and linear algebra. As such, it is accessible to a wide circle of readers, in particular to non-mathematicians.
Theory Of Ordinary Differential Equations
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Author : Earl A. Coddington
language : en
Publisher:
Release Date : 1987
Theory Of 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 1987 with categories.
Geometrical Methods In The Theory Of Ordinary Differential Equations
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Author : V.I. Arnold
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Geometrical Methods In The Theory Of Ordinary Differential Equations written by V.I. Arnold 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 2012-12-06 with Mathematics categories.
Since the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has been made partly with the help of computers. Much of this progress is represented in this revised, expanded edition, including such topics as the Feigenbaum universality of period doubling, the Zoladec solution, the Iljashenko proof, the Ecalle and Voronin theory, the Varchenko and Hovanski theorems, and the Neistadt theory. In the selection of material for this book, the author explains basic ideas and methods applicable to the study of differential equations. Special efforts were made to keep the basic ideas free from excessive technicalities. Thus the most fundamental questions are considered in great detail, while of the more special and difficult parts of the theory have the character of a survey. Consequently, the reader needs only a general mathematical knowledge to easily follow this text. It is directed to mathematicians, aswell as all users of the theory of differential equations.
The Geometric Theory Of Ordinary Differential Equations And Algebraic Functions
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Author : Georges Valiron
language : en
Publisher: Math Science Press
Release Date : 1984
The Geometric Theory Of Ordinary Differential Equations And Algebraic Functions written by Georges Valiron and has been published by Math Science Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
Theory Of Ordinary Differential Equations
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Author : Randal H. Cole
language : en
Publisher:
Release Date : 1968
Theory Of Ordinary Differential Equations written by Randal H. Cole and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Mathematics categories.
Ordinary Differential Equations
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Author : Garrett Birkhoff
language : en
Publisher: John Wiley & Sons
Release Date : 1978
Ordinary Differential Equations written by Garrett Birkhoff 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 1978 with Mathematics categories.
A carefully revised edition of the well-respected ODE text, whose unique treatment provides a smooth transition to critical understanding of proofs of basic theorems. First chapters present a rigorous treatment of background material; middle chapters deal in detail with systems of nonlinear differential equations; final chapters are devoted to the study of second-order linear differential equations. The power of the theory of ODE is illustrated throughout by deriving the properties of important special functions, such as Bessel functions, hypergeometric functions, and the more common orthogonal polynomials, from their defining differential equations and boundary conditions. Contains several hundred exercises. Prerequisite is a first course in ODE.