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Ordinary Differential Equations

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An Introduction to Ordinary Differential Equations

An Introduction to Ordinary Differential Equations Book
Author : Earl A. Coddington
Publisher : Courier Corporation
Release : 1989-01-01
ISBN : 9780486659428
Language : En, Es, Fr & De

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Book Description :

A thorough and systematic first course in elementary differential equations for undergraduates in mathematics and science, with many exercises and problems (with answers).

Ordinary Differential Equations

Ordinary Differential Equations Book
Author : Morris Tenenbaum,Harry Pollard
Publisher : Courier Corporation
Release : 1963
ISBN : 0486649407
Language : En, Es, Fr & De

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Book Description :

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.

Thinking about Ordinary Differential Equations

Thinking about Ordinary Differential Equations Book
Author : Robert E. O'Malley, Jr,Robert E. O'Malley
Publisher : Cambridge University Press
Release : 1997-01-13
ISBN : 9780521557429
Language : En, Es, Fr & De

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Book Description :

This book stresses alternative examples and analyses of finding solutions to ordinary differential equations.

Handbook of Exact Solutions for Ordinary Differential Equations

Handbook of Exact Solutions for Ordinary Differential Equations Book
Author : Valentin F. Zaitsev,Andrei D. Polyanin
Publisher : CRC Press
Release : 2002-10-28
ISBN : 1420035339
Language : En, Es, Fr & De

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Book Description :

Exact solutions of differential equations continue to play an important role in the understanding of many phenomena and processes throughout the natural sciences in that they can verify the correctness of or estimate errors in solutions reached by numerical, asymptotic, and approximate analytical methods. The new edition of this bestselling handbook now contains the exact solutions to more than 6200 ordinary differential equations. The authors have made significant enhancements to this edition, including: An introductory chapter that describes exact, asymptotic, and approximate analytical methods for solving ordinary differential equations The addition of solutions to more than 1200 nonlinear equations An improved format that allows for an expanded table of contents that makes locating equations of interest more quickly and easily Expansion of the supplement on special functions This handbook's focus on equations encountered in applications and on equations that appear simple but prove particularly difficult to integrate make it an indispensable addition to the arsenals of mathematicians, scientists, and engineers alike.

Ordinary Differential Equations

Ordinary Differential Equations Book
Author : Bhamra
Publisher : Allied Publishers
Release : 2021-09-21
ISBN : 9788177644890
Language : En, Es, Fr & De

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Book Description :

Download Ordinary Differential Equations book written by Bhamra, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Ordinary Differential Equations

Ordinary Differential Equations Book
Author : Edward L. Ince
Publisher : Courier Corporation
Release : 1956-01-01
ISBN : 0486603490
Language : En, Es, Fr & De

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Book Description :

Among the topics covered in this classic treatment are linear differential equations; solution in an infinite form; solution by definite integrals; algebraic theory; Sturmian theory and its later developments; further developments in the theory of boundary problems; existence theorems, equations of first order; nonlinear equations of higher order; more. "Highly recommended" — Electronics Industries.

Nonlinear Ordinary Differential Equations

Nonlinear Ordinary Differential Equations Book
Author : R. Grimshaw
Publisher : Routledge
Release : 2017-10-19
ISBN : 135142808X
Language : En, Es, Fr & De

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Book Description :

Ordinary differential equations have long been an important area of study because of their wide application in physics, engineering, biology, chemistry, ecology, and economics. Based on a series of lectures given at the Universities of Melbourne and New South Wales in Australia, Nonlinear Ordinary Differential Equations takes the reader from basic elementary notions to the point where the exciting and fascinating developments in the theory of nonlinear differential equations can be understood and appreciated. Each chapter is self-contained, and includes a selection of problems together with some detailed workings within the main text. Nonlinear Ordinary Differential Equations helps develop an understanding of the subtle and sometimes unexpected properties of nonlinear systems and simultaneously introduces practical analytical techniques to analyze nonlinear phenomena. This excellent book gives a structured, systematic, and rigorous development of the basic theory from elementary concepts to a point where readers can utilize ideas in nonlinear differential equations.

Modelling with Ordinary Differential Equations

Modelling with Ordinary Differential Equations Book
Author : T.P. Dreyer
Publisher : Routledge
Release : 2017-09-06
ISBN : 1351430696
Language : En, Es, Fr & De

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Book Description :

Modelling with Ordinary Differential Equations integrates standard material from an elementary course on ordinary differential equations with the skills of mathematical modeling in a number of diverse real-world situations. Each situation highlights a different aspect of the theory or modeling. Carefully selected exercises and projects present excellent opportunities for tutorial sessions and self-study.This text/reference addresses common types of first order ordinary differential equations and the basic theory of linear second order equations with constant coefficients. It also explores the elementary theory of systems of differential equations, Laplace transforms, and numerical solutions. Theorems on the existence and uniqueness of solutions are a central feature. Topics such as curve fitting, time-delay equations, and phase plane diagrams are introduced. The book includes algorithms for computer programs as an integral part of the answer-finding process. Professionals and students in the social and biological sciences, as well as those in physics and mathematics will find this text/reference indispensable for self-study.

Theory of Ordinary Differential Equations

Theory of Ordinary Differential Equations Book
Author : Earl A. Coddington,Coddington Earl A,Coddington Mn,Norman Levinson
Publisher : Tata McGraw-Hill Education
Release : 1955
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

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.

Ordinary Differential Equations

Ordinary Differential Equations Book
Author : Raza Tahir-Kheli
Publisher : Springer
Release : 2019-02-05
ISBN : 3319764063
Language : En, Es, Fr & De

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Book Description :

This textbook describes rules and procedures for the use of Differential Operators (DO) in Ordinary Differential Equations (ODE). The book provides a detailed theoretical and numerical description of ODE. It presents a large variety of ODE and the chosen groups are used to solve a host of physical problems. Solving these problems is of interest primarily to students of science, such as physics, engineering, biology and chemistry. Scientists are greatly assisted by using the DO obeying several simple algebraic rules. The book describes these rules and, to help the reader, the vocabulary and the definitions used throughout the text are provided. A thorough description of the relatively straightforward methodology for solving ODE is given. The book provides solutions to a large number of associated problems. ODE that are integrable, or those that have one of the two variables missing in any explicit form are also treated with solved problems. The physics and applicable mathematics are explained and many associated problems are analyzed and solved in detail. Numerical solutions are analyzed and the level of exactness obtained under various approximations is discussed in detail.

A Course in Ordinary Differential Equations

A Course in Ordinary Differential Equations Book
Author : Bindhyachal Rai,D. P. Choudhury,Herbert I. Freedman
Publisher : CRC Press
Release : 2002
ISBN : 9780849309922
Language : En, Es, Fr & De

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Book Description :

Designed as a text for both under and postgraduate students of mathematics and engineering, A Course in Ordinary Differential Equations deals with theory and methods of solutions as well as applications of ordinary differential equations. The treatment is lucid and gives a detailed account of Laplace transforms and their applications, Legendre and Bessel functions, and covers all the important numerical methods for differential equations.

Ordinary Differential Equations

Ordinary Differential Equations Book
Author : Jack K. Hale
Publisher : Courier Corporation
Release : 2009-01-01
ISBN : 0486472116
Language : En, Es, Fr & De

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Book Description :

This rigorous treatment prepares readers for the study of differential equations and shows them how to research current literature. It emphasizes nonlinear problems and specific analytical methods. 1969 edition.

Ordinary Differential Equations and Dynamical Systems

Ordinary Differential Equations and Dynamical Systems Book
Author : Thomas C. Sideris
Publisher : Atlantis Press
Release : 2013-10-30
ISBN : 9789462390201
Language : En, Es, Fr & De

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Book Description :

This book is a mathematically rigorous introduction to the beautiful subject of ordinary differential equations for beginning graduate or advanced undergraduate students. Students should have a solid background in analysis and linear algebra. The presentation emphasizes commonly used techniques without necessarily striving for completeness or for the treatment of a large number of topics. The first half of the book is devoted to the development of the basic theory: linear systems, existence and uniqueness of solutions to the initial value problem, flows, stability, and smooth dependence of solutions upon initial conditions and parameters. Much of this theory also serves as the paradigm for evolutionary partial differential equations. The second half of the book is devoted to geometric theory: topological conjugacy, invariant manifolds, existence and stability of periodic solutions, bifurcations, normal forms, and the existence of transverse homoclinic points and their link to chaotic dynamics. A common thread throughout the second part is the use of the implicit function theorem in Banach space. Chapter 5, devoted to this topic, the serves as the bridge between the two halves of the book.

Ordinary Differential Equations

Ordinary Differential Equations Book
Author : J. Kurzweil
Publisher : Elsevier
Release : 2014-06-28
ISBN : 1483297659
Language : En, Es, Fr & De

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Book Description :

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.

Introduction to Ordinary Differential Equations

Introduction to Ordinary Differential Equations Book
Author : Shepley L. Ross
Publisher : John Wiley & Sons Incorporated
Release : 1989
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

The Fourth Edition of the best-selling text on the basic concepts, theory, methods, and applications of ordinary differential equations retains the clear, detailed style of the first three editions. Includes new material on matrix methods, numerical methods, the Laplace transform, and an appendix on polynomial equations. Stresses fundamental methods, and features traditional applications and brief introductions to the underlying theory.

A Course in Ordinary Differential Equations Second Edition

A Course in Ordinary Differential Equations  Second Edition Book
Author : Stephen A. Wirkus,Randall J. Swift
Publisher : Chapman and Hall/CRC
Release : 2014-12-22
ISBN : 9781466509085
Language : En, Es, Fr & De

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Book Description :

A Course in Ordinary Differential Equations, Second Edition teaches students how to use analytical and numerical solution methods in typical engineering, physics, and mathematics applications. Lauded for its extensive computer code and student-friendly approach, the first edition of this popular textbook was the first on ordinary differential equations (ODEs) to include instructions on using MATLAB®, Mathematica®, and MapleTM. This second edition reflects the feedback of students and professors who used the first edition in the classroom. New to the Second Edition Moves the computer codes to Computer Labs at the end of each chapter, which gives professors flexibility in using the technology Covers linear systems in their entirety before addressing applications to nonlinear systems Incorporates the latest versions of MATLAB, Maple, and Mathematica Includes new sections on complex variables, the exponential response formula for solving nonhomogeneous equations, forced vibrations, and nondimensionalization Highlights new applications and modeling in many fields Presents exercise sets that progress in difficulty Contains color graphs to help students better understand crucial concepts in ODEs Provides updated and expanded projects in each chapter Suitable for a first undergraduate course, the book includes all the basics necessary to prepare students for their future studies in mathematics, engineering, and the sciences. It presents the syntax from MATLAB, Maple, and Mathematica to give students a better grasp of the theory and gain more insight into real-world problems. Along with covering traditional topics, the text describes a number of modern topics, such as direction fields, phase lines, the Runge-Kutta method, and epidemiological and ecological models. It also explains concepts from linear algebra so that students acquire a thorough understanding of differential equations.

Ordinary Differential Equations

Ordinary Differential Equations Book
Author : Wolfgang Walter
Publisher : Springer Science & Business Media
Release : 2013-03-11
ISBN : 1461206014
Language : En, Es, Fr & De

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Book Description :

Based on a translation of the 6th edition of Gewöhnliche Differentialgleichungen by Wolfgang Walter, this edition includes additional treatments of important subjects not found in the German text as well as material that is seldom found in textbooks, such as new proofs for basic theorems. This unique feature of the book calls for a closer look at contents and methods with an emphasis on subjects outside the mainstream. Exercises, which range from routine to demanding, are dispersed throughout the text and some include an outline of the solution. Applications from mechanics to mathematical biology are included and solutions of selected exercises are found at the end of the book. It is suitable for mathematics, physics, and computer science graduate students to be used as collateral reading and as a reference source for mathematicians. Readers should have a sound knowledge of infinitesimal calculus and be familiar with basic notions from linear algebra; functional analysis is developed in the text when needed.

Ordinary Differential Equations and Their Solutions

Ordinary Differential Equations and Their Solutions Book
Author : George Moseley Murphy
Publisher : Courier Corporation
Release : 2011-01-01
ISBN : 0486485919
Language : En, Es, Fr & De

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Book Description :

This treatment presents most of the methods for solving ordinary differential equations and systematic arrangements of more than 2,000 equations and their solutions. The material is organized so that standard equations can be easily found. Plus, the substantial number and variety of equations promises an exact equation or a sufficiently similar one. 1960 edition.

Handbook of Ordinary Differential Equations

Handbook of Ordinary Differential Equations Book
Author : Andrei D. Polyanin,Valentin F. Zaitsev
Publisher : CRC Press
Release : 2017-11-15
ISBN : 1351643916
Language : En, Es, Fr & De

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Book Description :

The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions. This book contains more equations and methods used in the field than any other book currently available. Included in the handbook are exact, asymptotic, approximate analytical, numerical symbolic and qualitative methods that are used for solving and analyzing linear and nonlinear equations. The authors also present formulas for effective construction of solutions and many different equations arising in various applications like heat transfer, elasticity, hydrodynamics and more. This extensive handbook is the perfect resource for engineers and scientists searching for an exhaustive reservoir of information on ordinary differential equations.

Elements Of Ordinary Differential Equations And Special Functions

Elements Of Ordinary Differential Equations And Special Functions Book
Author : A. Chakrabarti
Publisher : New Age International
Release : 2006
ISBN : 9788122408805
Language : En, Es, Fr & De

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Book Description :

Ordinary Differential Equations And Special Functions Form A Central Part In Many Branches Of Physics And Engineering. A Large Number Of Books Already Exist In These Areas And Informations Are Therefore Available In A Scattered Form. The Present Book Tries To Bring Out Some Of The Most Important Concepts Associated With Linear Ordinary Differential Equations And The Special Functions Of Frequent Occurrence, In A Rather Elementary Form.The Methods Of Obtaining Series Solution Of Second Order Linear Ordinary Differential Equations Near An Ordinary Point As Well As Near A Regular Singular Point Have Been Explained In An Elegant Manner And, As Applications Of These Methods, The Special Functions Of Hermite And Bessel Have Been Dealt With.The Special Functions Of Legendre And Laguerre Have Also Been Discussed Briefly. An Appendix Is Prepared To Deal With Other Special Functions Such As The Beta Function, The Gamma Function, The Hypergeometric Functions And The Chebyshev Polynomials In A Short Form.The Topics Involving The Existence Theory And The Eigenvalue Problems Have Also Been Discussed In The Book To Create Motivation For Further Studies In The Subject.Each Chapter Is Supplemented With A Number Of Worked Out Examples As Well As A Number Of Problems To Be Handled For Better Understanding Of The Subject. R Contains A List Of Sixteen Important Books Forming The Bibliography.In This Second Edition The Text Has Been Thoroughly Revised.