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Ordinary Differential Equations

Ordinary Differential Equations

An Elementary Textbook for Students of Mathematics, Engineering, and the Sciences

  • Author: Morris Tenenbaum,Harry Pollard
  • Publisher: Courier Corporation
  • ISBN: 0486649407
  • Category: Mathematics
  • Page: 808
  • View: 7950
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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

  • Author: Edward L. Ince
  • Publisher: Courier Corporation
  • ISBN: 0486158217
  • Category: Mathematics
  • Page: 576
  • View: 9531
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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.

Lectures on Ordinary Differential Equations

Lectures on Ordinary Differential Equations

  • Author: Witold Hurewicz
  • Publisher: Courier Corporation
  • ISBN: 048679721X
  • Category: Mathematics
  • Page: 144
  • View: 8208
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Introductory treatment explores existence theorems for first-order scalar and vector equations, basic properties of linear vector equations, and two-dimensional nonlinear autonomous systems. "A rigorous and lively introduction." — The American Mathematical Monthly. 1958 edition.

An Introduction to Ordinary Differential Equations

An Introduction to Ordinary Differential Equations

  • Author: Earl A. Coddington
  • Publisher: Courier Corporation
  • ISBN: 0486131831
  • Category: Mathematics
  • Page: 320
  • View: 7348
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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.

Ordinary Differential Equations

Ordinary Differential Equations

  • Author: Jack K. Hale
  • Publisher: Courier Corporation
  • ISBN: 0486472116
  • Category: Mathematics
  • Page: 361
  • View: 3788
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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.

The Qualitative Theory of Ordinary Differential Equations

The Qualitative Theory of Ordinary Differential Equations

An Introduction

  • Author: Fred Brauer,John A. Nohel
  • Publisher: Courier Corporation
  • ISBN: 0486151514
  • Category: Mathematics
  • Page: 320
  • View: 9057
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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.

Topics in ordinary differential equations

Topics in ordinary differential equations

  • Author: William D. Lakin,David A. Sánchez
  • Publisher: Dover Pubns
  • ISBN: N.A
  • Category: Mathematics
  • Page: 154
  • View: 8031
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Differentialgleichungen und ihre Anwendungen

Differentialgleichungen und ihre Anwendungen

  • Author: Martin Braun
  • Publisher: Springer-Verlag
  • ISBN: 3642973418
  • Category: Mathematics
  • Page: 596
  • View: 9523
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Dieses richtungsweisende Lehrbuch für die Anwendung der Mathematik in anderen Wissenschaftszweigen gibt eine Einführung in die Theorie der gewöhnlichen Differentialgleichungen. Fortran und APL-Programme geben den Studenten die Möglichkeit, verschiedene numerische Näherungsverfahren an ihrem PC selbst durchzurechnen. Aus den Besprechungen: "Die Darstellung ist überall mathematisch streng und zudem ungemein anregend. Abgesehen von manchen historischen Bemerkungen ... tragen dazu die vielen mit ausführlichem Hintergrund sehr eingehend entwickelten praktischen Anwendungen bei. ... Besondere Aufmerksamkeit wird der physikalisch und technisch so wichtigen Frage nach Stabilität von Lösungen eines Systems von Differentialgleichungen gewidmet. Das Buch ist wegen seiner geringen Voraussetzungen und vorzüglichen Didaktik schon für alle Studenten des 3. Semesters geeignet; seine eminent praktische Haltung empfiehlt es aber auch für alle Physiker, die mit Differentialgleichungen und ihren Anwendungen umzugehen haben." #Physikalische Blätter#

Ordinary Differential Equations and Stability Theory

Ordinary Differential Equations and Stability Theory

An Introduction

  • Author: David A. Sánchez
  • Publisher: Courier Corporation
  • ISBN: 0486638286
  • Category: Mathematics
  • Page: 164
  • View: 3742
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Beginning with a general discussion of the linear equation, topics developed include stability theory for autonomous and nonautonomous systems. Two appendices are also provided, and there are problems at the end of each chapter — 55 in all. Unabridged republication of the original (1968) edition. Appendices. Bibliography. Index. 55 problems.

Ordinary Differential Equations and Their Solutions

Ordinary Differential Equations and Their Solutions

  • Author: George Moseley Murphy
  • Publisher: Courier Corporation
  • ISBN: 0486485919
  • Category: Mathematics
  • Page: 451
  • View: 1179
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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.

Ordinary Differential Equations

Ordinary Differential Equations

  • Author: Richard K. Miller,Anthony N. Michel
  • Publisher: Courier Corporation
  • ISBN: 048646248X
  • Category: Mathematics
  • Page: 351
  • View: 7258
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Geared toward advanced undergraduates and graduate students in mathematics, engineering, and the sciences, this self-contained treatment is appropriate for a course in nonlinear system analysis. Its highlight is a scholarly treatment of the stability of dynamical systems, including the absolute stability problem. Acclaimed by IEEE Control Systems Magazine as "a welcome addition" to books in the field of nonlinear control systems, the text opens with the modeling of a number of electrical, mechanical, and electromechanical systems, which provide the setting for later analysis. Subsequent chapters review results regarding the existence and uniqueness of solutions of ordinary differential equations; matrix analysis of the linear system of differential equations; and boundary value problems. The rest of the book is devoted chiefly to the stability of nonlinear systems, including issues of stability related to perturbations; periodic solutions of two-dimensional systems and the Poincaré-Bendixson theorem; and the stability of the equilibrium point. Each chapter is complemented with a series of well-chosen problems.

Ordinary Differential Equations in the Complex Domain

Ordinary Differential Equations in the Complex Domain

  • Author: Einar Hille
  • Publisher: Courier Corporation
  • ISBN: 9780486696201
  • Category: Mathematics
  • Page: 484
  • View: 3920
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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.

Lectures, Problems and Solutions for Ordinary Differential Equations

Lectures, Problems and Solutions for Ordinary Differential Equations

  • Author: Deng Yuefan
  • Publisher: World Scientific
  • ISBN: 9813226153
  • Category: Mathematics
  • Page: 572
  • View: 5913
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This unique book on ordinary differential equations addresses practical issues of composing and solving differential equations by demonstrating the detailed solutions of more than 1,000 examples. The initial draft was used to teach more than 10,000 advanced undergraduate students in engineering, physics, economics, as well as applied mathematics. It is a good source for students to learn problem-solving skills and for educators to find problems for homework assignments and tests. The 2nd edition, with at least 100 more examples and five added subsections, has been restructured to flow more pedagogically.

Differentialgleichungen für Dummies

Differentialgleichungen für Dummies

  • Author: Steven Holzner
  • Publisher: John Wiley & Sons
  • ISBN: 3527658041
  • Category: Mathematics
  • Page: 327
  • View: 4174
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Als die Gute Fee H?nschen fragte: "was w?nschst Du dir?", antwortete er: "Keine Differentialgleichungen mehr in der Schule": Hans im Gl?ck! Jetzt k?nnen Sie auch auf eine Gute Fee warten, oder sich dieses Buch kaufen. Sie finden hier Hilfe sollten Sie mit linearen und nichtlinearen gew?hnlichen Differentialgleichungen ihre liebe M?he haben, seien sie nun erster, zweiter oder h?herer Ordnung. Sie lernen auch, was Sie zu Laplace Transformation, Potenzreihen und vielen anderen vertrackten Problemen wissen sollten. Sehen Sie der Realit?t ins Auge, mit diesem Buch.

Existence Theorems for Ordinary Differential Equations

Existence Theorems for Ordinary Differential Equations

  • Author: Francis J. Murray,Kenneth S. Miller
  • Publisher: Courier Corporation
  • ISBN: 0486154955
  • Category: Mathematics
  • Page: 176
  • View: 7397
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This text examines fundamental and general existence theorems, along with uniqueness theorems and Picard iterants, and applies them to properties of solutions and linear differential equations. 1954 edition.

Asymptotic Expansions for Ordinary Differential Equations

Asymptotic Expansions for Ordinary Differential Equations

  • Author: Wolfgang Wasow
  • Publisher: Courier Dover Publications
  • ISBN: 0486824586
  • Category: Mathematics
  • Page: 384
  • View: 9574
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This outstanding text concentrates on the mathematical ideas underlying various asymptotic methods for ordinary differential equations that lead to full, infinite expansions. "A book of great value." — Mathematical Reviews. 1976 revised edition.

Partielle Differentialgleichungen

Partielle Differentialgleichungen

Eine Einführung

  • Author: Walter A. Strauss
  • Publisher: Springer-Verlag
  • ISBN: 366312486X
  • Category: Mathematics
  • Page: 458
  • View: 6706
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Dieses Buch ist eine umfassende Einführung in die klassischen Lösungsmethoden partieller Differentialgleichungen. Es wendet sich an Leser mit Kenntnissen aus einem viersemestrigen Grundstudium der Mathematik (und Physik) und legt seinen Schwerpunkt auf die explizite Darstellung der Lösungen. Es ist deshalb besonders auch für Anwender (Physiker, Ingenieure) sowie für Nichtspezialisten, die die Methoden der mathematischen Physik kennenlernen wollen, interessant. Durch die große Anzahl von Beispielen und Übungsaufgaben eignet es sich gut zum Gebrauch neben Vorlesungen sowie zum Selbststudium.

Lectures on Partial Differential Equations

Lectures on Partial Differential Equations

  • Author: I. G. Petrovsky
  • Publisher: Courier Corporation
  • ISBN: 0486155080
  • Category: Mathematics
  • Page: 272
  • View: 975
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Graduate-level exposition by noted Russian mathematician offers rigorous, readable coverage of classification of equations, hyperbolic equations, elliptic equations, and parabolic equations. Translated from the Russian by A. Shenitzer.

Lectures on Differential and Integral Equations

Lectures on Differential and Integral Equations

  • Author: K?saku Yoshida
  • Publisher: Courier Corporation
  • ISBN: 9780486666792
  • Category: Mathematics
  • Page: 220
  • View: 1688
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Lucid, self-contained exposition of theory of ordinary differential equations and integral equations. Boundary value problem of second order linear ordinary differential equations, Fredholm integral equations, many other topics. Bibliography. 1960 edition.

An Introduction to Differential Equations and Their Applications

An Introduction to Differential Equations and Their Applications

  • Author: Stanley J. Farlow
  • Publisher: Dover Publications
  • ISBN: N.A
  • Category: Mathematics
  • Page: 640
  • View: 4999
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Intended for use in a beginning one-semester course in differential equations, this text is designed for students of pure and applied mathematics with a working knowledge of algebra, trigonometry, and elementary calculus. Its mathematical rigor is balanced by complete but simple explanations that appeal to readers' physical and geometric intuition. Starting with an introduction to differential equations, the text proceeds to examinations of first- and second-order differential equations, series solutions, the Laplace transform, systems of differential equations, difference equations, nonlinear differential equations and chaos, and partial differential equations. Numerous figures, problems with solutions, and historical notes clarify the text.