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Ordinary Differential Equations

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Ordinary Differential Equations

Ordinary Differential Equations Book
Author : Vladimir I. Arnold
Publisher : Springer Science & Business Media
Release : 1992-05-08
ISBN : 9783540548133
Language : En, Es, Fr & De

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Book Description :

Few books on Ordinary Differential Equations (ODEs) have the elegant geometric insight of this one, which puts emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on routine presentation of algorithms. From the reviews: "Professor Arnold has expanded his classic book to include new material on exponential growth, predator-prey, the pendulum, impulse response, symmetry groups and group actions, perturbation and bifurcation." --SIAM REVIEW

Ordinary Differential Equations

Ordinary Differential Equations Book
Author : Philip Hartman
Publisher : SIAM
Release : 2002-01-01
ISBN : 0898715105
Language : En, Es, Fr & De

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Book Description :

Covers the fundamentals of the theory of ordinary 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

Ordinary Differential Equations Book
Author : D. Somasundaram
Publisher : CRC Press
Release : 2001
ISBN : 9780849309885
Language : En, Es, Fr & De

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Book Description :

Though ordinary differential equations is taught as a core course to students in mathematics and applied mathematics, detailed coverage of the topics with sufficient examples is unique. Written by a mathematics professor and intended as a textbook for third- and fourth-year undergraduates, the five chapters of this publication give a precise account of higher order differential equations, power series solutions, special functions, existence and uniqueness of solutions, and systems of linear equations. Relevant motivation for different concepts in each chapter and discussion of theory and problems-without the omission of steps-sets Ordinary Differential Equations: A First Course apart from other texts on ODEs. Full of distinguishing examples and containing exercises at the end of each chapter, this lucid course book will promote self-study among students.

Ordinary Differential Equations

Ordinary Differential Equations Book
Author : W. T. Ang,Y. S. Park
Publisher : Universal-Publishers
Release : 2008
ISBN : 1599429756
Language : En, Es, Fr & De

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Book Description :

This introductory course in ordinary differential equations, intended for junior undergraduate students in applied mathematics, science and engineering, focuses on methods of solution and applications rather than theoretical analyses. Applications drawn mainly from dynamics, population biology and electric circuit theory are used to show how ordinary differential equations appear in the formulation of problems in science and engineering. The calculus required to comprehend this course is rather elementary, involving differentiation, integration and power series representation of only real functions of one variable. A basic knowledge of complex numbers and their arithmetic is also assumed, so that elementary complex functions which can be used for working out easily the general solutions of certain ordinary differential equations can be introduced. The pre-requisites just mentioned aside, the course is mainly self-contained. To promote the use of this course for self-study, suggested solutions are not only given to all set exercises, but they are also by and large complete with details.

INTRODUCTION TO THEORY OF ORDINARY DIFFERENTIAL EQUATION

INTRODUCTION TO THEORY OF ORDINARY DIFFERENTIAL EQUATION Book
Author : V. DHARMAIAH
Publisher : PHI Learning Pvt. Ltd.
Release : 2012-09-19
ISBN : 8120346661
Language : En, Es, Fr & De

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Book Description :

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.

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.

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

Ordinary Differential Equations Book
Author : W. Cox
Publisher : Butterworth-Heinemann
Release : 1996
ISBN : 0340632038
Language : En, Es, Fr & De

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Book Description :

Building on introductory calculus courses, this text provides a sound foundation in the underlying principles of ordinary differential equations. Important concepts, including uniqueness and existence theorems, are worked through in detail and the student is encouraged to develop much of the routine material themselves, thus helping to ensure a solid understanding of the fundamentals required. The wide use of exercises, problems and self-assessment questions helps to promote a deeper understanding of the material and it is developed in such a way that it lays the groundwork for further study of partial differential equations.

Ordinary Differential Equations

Ordinary Differential Equations Book
Author : Michael D. Greenberg
Publisher : John Wiley & Sons
Release : 2014-05-29
ISBN : 1118243404
Language : En, Es, Fr & De

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Book Description :

Features a balance between theory, proofs, and examples and provides applications across diverse fields of study Ordinary Differential Equations presents a thorough discussion of first-order differential equations and progresses to equations of higher order. The book transitions smoothly from first-order to higher-order equations, allowing readers to develop a complete understanding of the related theory. Featuring diverse and interesting applications from engineering, bioengineering, ecology, and biology, the book anticipates potential difficulties in understanding the various solution steps and provides all the necessary details. Topical coverage includes: First-Order Differential Equations Higher-Order Linear Equations Applications of Higher-Order Linear Equations Systems of Linear Differential Equations Laplace Transform Series Solutions Systems of Nonlinear Differential Equations In addition to plentiful exercises and examples throughout, each chapter concludes with a summary that outlines key concepts and techniques. The book's design allows readers to interact with the content, while hints, cautions, and emphasis are uniquely featured in the margins to further help and engage readers. Written in an accessible style that includes all needed details and steps, Ordinary Differential Equations is an excellent book for courses on the topic at the upper-undergraduate level. The book also serves as a valuable resource for professionals in the fields of engineering, physics, and mathematics who utilize differential equations in their everyday work. An Instructors Manual is available upon request. Email [email protected] for information. There is also a Solutions Manual available. The ISBN is 9781118398999.

Basic Theory of Ordinary Differential Equations

Basic Theory of Ordinary Differential Equations Book
Author : Po-Fang Hsieh,Yasutaka Sibuya
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 1461215064
Language : En, Es, Fr & De

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Book Description :

Providing readers with the very basic knowledge necessary to begin research on differential equations with professional ability, the selection of topics here covers the methods and results that are applicable in a variety of different fields. The book is divided into four parts. The first covers fundamental existence, uniqueness, smoothness with respect to data, and nonuniqueness. The second part describes the basic results concerning linear differential equations, while the third deals with nonlinear equations. In the last part the authors write about the basic results concerning power series solutions. Each chapter begins with a brief discussion of its contents and history, and hints and comments for many problems are given throughout. With 114 illustrations and 206 exercises, the book is suitable for a one-year graduate course, as well as a reference book for research mathematicians.

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.

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 : 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.

Ordinary Differential Equations

Ordinary Differential Equations Book
Author : George F. Carrier,Carl E. Pearson
Publisher : SIAM
Release : 1968-01-01
ISBN : 0898712653
Language : En, Es, Fr & De

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Book Description :

Teaches techniques for constructing solutions of differential equations in a novel way, often giving readers opportunity for ingenuity.

An Introduction to Ordinary Differential Equations

An Introduction to Ordinary Differential Equations Book
Author : James C. Robinson
Publisher : Cambridge University Press
Release : 2004-01-08
ISBN : 9780521533911
Language : En, Es, Fr & De

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Book Description :

A first course in ordinary differential equations for mathematicians, scientists and engineers. Solutions are provided.