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Author : Earl A. Coddington
Publisher : Unknown
Page : 292 pages
File Size : 40,7 Mb
Release : 1968
Category : Differential equations
ISBN : OCLC:28035514
Author : Ravi P. Agarwal,Donal O'Regan
Publisher : Springer Science & Business Media
Page : 333 pages
File Size : 42,8 Mb
Release : 2008-12-10
Category : Mathematics
ISBN : 9780387712765
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.
Author : James C. Robinson
Publisher : Cambridge University Press
Page : 416 pages
File Size : 46,9 Mb
Release : 2004-01-08
Category : Mathematics
ISBN : 0521533910
A first course in ordinary differential equations for mathematicians, scientists and engineers. Solutions are provided.
Author : Shepley L. Ross
Publisher : Unknown
Page : 0 pages
File Size : 42,5 Mb
Release : 1966
Category : Electronic
ISBN : OCLC:1334016574
Author : Albert L. Rabenstein
Publisher : Academic Press
Page : 444 pages
File Size : 46,6 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483226224
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.
Author : Morris Tenenbaum,Harry Pollard
Publisher : Courier Corporation
Page : 852 pages
File Size : 51,8 Mb
Release : 1985-10-01
Category : Mathematics
ISBN : 9780486649405
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.
Author : Kenneth B. Howell
Publisher : CRC Press
Page : 907 pages
File Size : 52,9 Mb
Release : 2019-12-06
Category : Mathematics
ISBN : 9781000701951
The Second Edition of Ordinary Differential Equations: An Introduction to the Fundamentals builds on the successful First Edition. It is unique in its approach to motivation, precision, explanation and method. Its layered approach offers the instructor opportunity for greater flexibility in coverage and depth. Students will appreciate the author’s approach and engaging style. Reasoning behind concepts and computations motivates readers. New topics are introduced in an easily accessible manner before being further developed later. The author emphasizes a basic understanding of the principles as well as modeling, computation procedures and the use of technology. The students will further appreciate the guides for carrying out the lengthier computational procedures with illustrative examples integrated into the discussion. Features of the Second Edition: Emphasizes motivation, a basic understanding of the mathematics, modeling and use of technology A layered approach that allows for a flexible presentation based on instructor's preferences and students’ abilities An instructor’s guide suggesting how the text can be applied to different courses New chapters on more advanced numerical methods and systems (including the Runge-Kutta method and the numerical solution of second- and higher-order equations) Many additional exercises, including two "chapters" of review exercises for first- and higher-order differential equations An extensive on-line solution manual About the author: Kenneth B. Howell earned bachelor’s degrees in both mathematics and physics from Rose-Hulman Institute of Technology, and master’s and doctoral degrees in mathematics from Indiana University. For more than thirty years, he was a professor in the Department of Mathematical Sciences of the University of Alabama in Huntsville. Dr. Howell published numerous research articles in applied and theoretical mathematics in prestigious journals, served as a consulting research scientist for various companies and federal agencies in the space and defense industries, and received awards from the College and University for outstanding teaching. He is also the author of Principles of Fourier Analysis, Second Edition (Chapman & Hall/CRC, 2016).
Author : David A. Sanchez
Publisher : Courier Dover Publications
Page : 179 pages
File Size : 46,8 Mb
Release : 2019-09-18
Category : Mathematics
ISBN : 9780486837598
This brief modern introduction to the subject of ordinary differential equations emphasizes stability theory. Concisely and lucidly expressed, it is intended as a supplementary text for advanced undergraduates or beginning graduate students who have completed a first course in ordinary differential equations. The author begins by developing the notions of a fundamental system of solutions, the Wronskian, and the corresponding fundamental matrix. Subsequent chapters explore the linear equation with constant coefficients, stability theory for autonomous and nonautonomous systems, and the problems of the existence and uniqueness of solutions and related topics. Problems at the end of each chapter and two Appendixes on special topics enrich the text.
Author : Ravi P. Agarwal,Ramesh C. Gupta
Publisher : Unknown
Page : 467 pages
File Size : 45,5 Mb
Release : 1991
Category : Differential equations
ISBN : 0071006133
Author : Earl A. Coddington
Publisher : Courier Corporation
Page : 306 pages
File Size : 47,6 Mb
Release : 2012-04-20
Category : Mathematics
ISBN : 9780486131832
A thorough, systematic first course in elementary differential equations for undergraduates in mathematics and science, requiring only basic calculus for a background. Includes many exercises and problems, with answers. Index.
Author : Fred Brauer,John A. Nohel
Publisher : Courier Corporation
Page : 325 pages
File Size : 52,6 Mb
Release : 2012-12-11
Category : Mathematics
ISBN : 9780486151519
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.
Author : John W. Dettman
Publisher : Courier Corporation
Page : 432 pages
File Size : 46,6 Mb
Release : 2012-10-05
Category : Mathematics
ISBN : 9780486158310
Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more. Includes 48 black-and-white illustrations. Exercises with solutions. Index.
Author : Carmen Chicone
Publisher : Springer Nature
Page : 744 pages
File Size : 52,9 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9783031516528
Author : Gerald Teschl
Publisher : American Mathematical Society
Page : 370 pages
File Size : 51,8 Mb
Release : 2024-01-12
Category : Mathematics
ISBN : 9781470476410
This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. The first part begins with some simple examples of explicitly solvable equations and a first glance at qualitative methods. Then the fundamental results concerning the initial value problem are proved: existence, uniqueness, extensibility, dependence on initial conditions. Furthermore, linear equations are considered, including the Floquet theorem, and some perturbation results. As somewhat independent topics, the Frobenius method for linear equations in the complex domain is established and Sturm–Liouville boundary value problems, including oscillation theory, are investigated. The second part introduces the concept of a dynamical system. The Poincaré–Bendixson theorem is proved, and several examples of planar systems from classical mechanics, ecology, and electrical engineering are investigated. Moreover, attractors, Hamiltonian systems, the KAM theorem, and periodic solutions are discussed. Finally, stability is studied, including the stable manifold and the Hartman–Grobman theorem for both continuous and discrete systems. The third part introduces chaos, beginning with the basics for iterated interval maps and ending with the Smale–Birkhoff theorem and the Melnikov method for homoclinic orbits. The text contains almost three hundred exercises. Additionally, the use of mathematical software systems is incorporated throughout, showing how they can help in the study of differential equations.
Author : Jiri Lebl
Publisher : Unknown
Page : 468 pages
File Size : 52,9 Mb
Release : 2019-11-13
Category : Electronic
ISBN : 1706230230
Version 6.0. An introductory course on differential equations aimed at engineers. The book covers first order ODEs, higher order linear ODEs, systems of ODEs, Fourier series and PDEs, eigenvalue problems, the Laplace transform, and power series methods. It has a detailed appendix on linear algebra. The book was developed and used to teach Math 286/285 at the University of Illinois at Urbana-Champaign, and in the decade since, it has been used in many classrooms, ranging from small community colleges to large public research universities. See https: //www.jirka.org/diffyqs/ for more information, updates, errata, and a list of classroom adoptions.
