*Eine Einführung*

Author: Wolfgang Walter

Publisher: Springer-Verlag

ISBN: 364296317X

Category: Mathematics

Page: 232

View: 9837

*Eine Einführung*

Author: Wolfgang Walter

Publisher: Springer-Verlag

ISBN: 364296317X

Category: Mathematics

Page: 232

View: 9837

*Eine Einführung*

Author: Wolfgang Walter

Publisher: Springer-Verlag

ISBN: 3642572405

Category: Mathematics

Page: 402

View: 9316

In der nunmehr 7., neu bearbeiteten und erweiterten Auflage legt W. Walter sein Lehrbuch über Gewöhnliche Differentialgleichungen vor, das schon so etwas wie ein "moderner Klassiker" geworden ist. Das Buch entspricht dem aktuellen Forschungsstand. Es behandelt neben der klassischen Theorie vor allem solche Themen, die für das Studium dynamischer Systeme und des qualitativen Verhaltens gewöhnlicher Differentialgleichungen unentbehrlich sind. Ein Anhang stellt zentrale Begriffe aus Analysis und Topologie bereit. Dieses Lehrbuch bietet dem Studenten eine optimale Einführung in das Gebiet der Differentialgleichungen, die sich durch Übersichtlichkeit im Aufbau und Klarheit in der Beweisführung auszeichnet. Viele instruktive Beispiele mit Lösungen zu ausgewählten Aufgaben runden dieses Werk ab.*eine Einführung*

Author: Wolfgang Walter

Publisher: N.A

ISBN: 9780387520179

Category: Differential equations

Page: 238

View: 2713

Author: Vladimir I. Arnold

Publisher: Springer Science & Business Media

ISBN: 9783540548133

Category: Mathematics

Page: 338

View: 8086

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*Second Edition*

Author: Philip Hartman

Publisher: SIAM

ISBN: 0898715105

Category: Mathematics

Page: 612

View: 3844

Covers the fundamentals of the theory of ordinary differential equations.

Author: Edward L. Ince

Publisher: Courier Corporation

ISBN: 0486158217

Category: Mathematics

Page: 576

View: 7424

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; much more. "Highly recommended" — Electronics Industries.*Methods and Applications*

Author: W. T. Ang,Y. S. Park

Publisher: Universal-Publishers

ISBN: 1599429756

Category: Mathematics

Page: 204

View: 1311

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.

Author: Einar Hille

Publisher: Courier Corporation

ISBN: 9780486696201

Category: Mathematics

Page: 484

View: 6707

Graduate-level text offers full treatments of existence theorems, representation of solutions by series, theory of majorants, dominants and minorants, questions of growth, much more. Includes 675 exercises. Bibliography.

Author: Wolfgang Wasow

Publisher: Courier Corporation

ISBN: 9780486495187

Category: Mathematics

Page: 374

View: 9345

"A book of great value . . . it should have a profound influence upon future research."--Mathematical Reviews. Hardcover edition. The foundations of the study of asymptotic series in the theory of differential equations were laid by Poincaré in the late 19th century, but it was not until the middle of this century that it became apparent how essential asymptotic series are to understanding the solutions of ordinary differential equations. Moreover, they have come to be seen as crucial to such areas of applied mathematics as quantum mechanics, viscous flows, elasticity, electromagnetic theory, electronics, and astrophysics. In this outstanding text, the first book devoted exclusively to the subject, the author concentrates on the mathematical ideas underlying the various asymptotic methods; however, asymptotic methods for differential equations are included only if they lead to full, infinite expansions. Unabridged Dover republication of the edition published by Robert E. Krieger Publishing Company, Huntington, N.Y., 1976, a corrected, slightly enlarged reprint of the original edition published by Interscience Publishers, New York, 1965. 12 illustrations. Preface. 2 bibliographies. Appendix. Index.

Author: Ratan Prakash Agarwal,Ravi P. Agarwal,V. Lakshmikantham

Publisher: World Scientific

ISBN: 9789810213572

Category: Mathematics

Page: 312

View: 8414

This monograph aims to fill a void by making available a source book which first systematically describes all the available uniqueness and nonuniqueness criteria for ordinary differential equations, and compares and contrasts the merits of these criteria, and second, discusses open problems and offers some directions towards possible solutions.*A First Course*

Author: D. Somasundaram

Publisher: CRC Press

ISBN: 9780849309885

Category: Mathematics

Page: 295

View: 7150

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.*A Practical Guide*

Author: Bernd J. Schroers

Publisher: Cambridge University Press

ISBN: 1139503723

Category: Mathematics

Page: N.A

View: 5912

Ordinary Differential Equations introduces key concepts and techniques in the field and shows how they are used in current mathematical research and modelling. It deals specifically with initial value problems, which play a fundamental role in a wide range of scientific disciplines, including mathematics, physics, computer science, statistics and biology. This practical book is ideal for students and beginning researchers working in any of these fields who need to understand the area of ordinary differential equations in a short time.

Author: C. R. MONDAL

Publisher: PHI Learning Pvt. Ltd.

ISBN: 9788120334670

Category: Mathematics

Page: 192

View: 6611

Written in a clear, precise and readable manner, this textbook (now revised and corrected) is designed to provide postgraduate mathematics students with a sound and inspiring introduction to the main themes of ordinary differential equations. It is presented from the viewpoint of applied mathematics to treat differential equations both from the theoretical background and practical applications to scientific and engineering problems. Beginning with a comprehensive treatment of linear differential equations with variable coefficients, the text gives a detailed discussion on some well-known special functions which provide solutions of secondorder linear ordinary differential equations having several regular singular points. Many of the standard concepts and methods which are useful in the study of special functions are discussed. The properties of special functions are derived from their differential equations and boundary conditions. Finally, existence and uniqueness of solutions of differential equations are established. Worked-out examples are introduced throughout the text. End-of-chapter exercises further help understand the mathematical and physical structure of the subject.

Author: George Moseley Murphy

Publisher: Courier Corporation

ISBN: 0486485919

Category: Mathematics

Page: 451

View: 7979

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.

Author: Carmen Chicone

Publisher: Springer Science & Business Media

ISBN: 0387307699

Category: Mathematics

Page: 636

View: 9516

Based on a one-year course taught by the author to graduates at the University of Missouri, this book provides a student-friendly account of some of the standard topics encountered in an introductory course of ordinary differential equations. In a second semester, these ideas can be expanded by introducing more advanced concepts and applications. A central theme in the book is the use of Implicit Function Theorem, while the latter sections of the book introduce the basic ideas of perturbation theory as applications of this Theorem. The book also contains material differing from standard treatments, for example, the Fiber Contraction Principle is used to prove the smoothness of functions that are obtained as fixed points of contractions. The ideas introduced in this section can be extended to infinite dimensions.

Author: Earl A. Coddington

Publisher: Courier Corporation

ISBN: 0486131831

Category: Mathematics

Page: 320

View: 8839

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: George F. Carrier,Carl E. Pearson

Publisher: SIAM

ISBN: 9781611971293

Category: Differential equations

Page: 220

View: 2672

Offers an alternative to the "rote" approach of presenting standard categories of differential equations accompanied by routine problem sets. The exercises presented amplify and provide perspective for the material, often giving readers opportunity for ingenuity. Little or no previous acquaintance with the subject is required to learn usage of techniques for constructing solutions of differential equations in this reprint volume.

Author: Bhamra

Publisher: Allied Publishers

ISBN: 9788177644890

Category:

Page: N.A

View: 1294

Author: Donald Greenspan

Publisher: N.A

ISBN: N.A

Category: Differential equations

Page: 148

View: 573

*Nonstiff Problems*

Author: Ernst Hairer,Syvert P. Nørsett,Gerhard Wanner

Publisher: Springer Science & Business Media

ISBN: 9783540566700

Category: Mathematics

Page: 528

View: 7516

This book deals with methods for solving nonstiff ordinary differential equations. The first chapter describes the historical development of the classical theory, and the second chapter includes a modern treatment of Runge-Kutta and extrapolation methods. Chapter three begins with the classical theory of multistep methods, and concludes with the theory of general linear methods. The reader will benefit from many illustrations, a historical and didactic approach, and computer programs which help him/her learn to solve all kinds of ordinary differential equations. This new edition has been rewritten and new material has been included.