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Ordinary Differential Equations

Author: Morris Tenenbaum

Publisher: Courier Corporation

Published: 1985-10-01

Total Pages: 852

ISBN-13: 0486649407

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 with Applications

Author: Sze-Bi Hsu

Publisher: World Scientific Publishing Company

Published: 2013-06-07

Total Pages: 312

ISBN-13: 9814452920

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During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated renewed enthusiasm for the theory of Ordinary Differential Equations (ODE). This useful book, which is based on the lecture notes of a well-received graduate course, emphasizes both theory and applications, taking numerous examples from physics and biology to illustrate the application of ODE theory and techniques. Written in a straightforward and easily accessible style, this volume presents dynamical systems in the spirit of nonlinear analysis to readers at a graduate level and serves both as a textbook and as a valuable resource for researchers. This new edition contains corrections and suggestions from the various readers and users. A new chapter on Monotone Dynamical Systems is added to take into account the new developments in ordinary differential equations and dynamical systems.

Student's Solutions Manual to Accompany Differential Equations

Author: George Finlay Simmons

Publisher: McGraw-Hill Science, Engineering & Mathematics

Published: 2006

Total Pages: 0

ISBN-13: 9780072863161

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This traditional text is intended for mainstream one- or two-semester differential equations courses taken by undergraduates majoring in engineering, mathematics, and the sciences. Written by two of the world's leading authorities on differential equations, Simmons/Krantz provides a cogent and accessible introduction to ordinary differential equations written in classical style. Its rich variety of modern applications in engineering, physics, and the applied sciences illuminate the concepts and techniques that students will use through practice to solve real-life problems in their careers. This text is part of the Walter Rudin Student Series in Advanced Mathematics.

In Our Nature

Author: Donna Seaman

Publisher: University of Georgia Press

Published: 2002

Total Pages: 320

ISBN-13: 9780820324579

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Fourteen unforgettable short stories provoke, illuminate, and startle as they explore our perception of nature and the conflict between wildness and civilization within each of us. As we are recognizing the consequences of the destruction of forests and wetlands, the pillaging of the seas, and the toxicity of industry, we are experiencing profound uncertainty about our relationship with the earth. These stellar short stories by writers such as Barry Lopez, Rick Bass, Margaret Atwood, E. L. Doctorow, Chris Offutt, and others plumb the mystery--as only fiction can--of nature within us and the world of nature that surrounds us. We are nature, in spite of our machines, our plastics, and our artificial ingredients. Yet what do we make of our own nature? Our own wildness? And how do we explain the paradox of our urge to both exploit and protect wilderness? From E. L. Doctorow's shattering tale, "Willi," in which a young boy witnesses adults transformed into animals by the frenzy of sexual lust, to Rick Bass's "Swamp Boy," whose young hero is hounded by a pack of boys incensed by his solitary communion with the wild, to Margaret Atwood's wickedly funny story, "My Life as a Bat," or Kent Meyers's soulful ballad of love regained, "The Heart of the Sky," these memorable stories articulate our deep need for wilderness and the indelible role nature plays in our psychological and spiritual well-being.

Ordinary Differential Equations: Basics and Beyond

Author: David G. Schaeffer

Publisher: Springer

Published: 2016-11-10

Total Pages: 542

ISBN-13: 1493963899

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This book develops the theory of ordinary differential equations (ODEs), starting from an introductory level (with no prior experience in ODEs assumed) through to a graduate-level treatment of the qualitative theory, including bifurcation theory (but not chaos). While proofs are rigorous, the exposition is reader-friendly, aiming for the informality of face-to-face interactions. A unique feature of this book is the integration of rigorous theory with numerous applications of scientific interest. Besides providing motivation, this synthesis clarifies the theory and enhances scientific literacy. Other features include: (i) a wealth of exercises at various levels, along with commentary that explains why they matter; (ii) figures with consistent color conventions to identify nullclines, periodic orbits, stable and unstable manifolds; and (iii) a dedicated website with software templates, problem solutions, and other resources supporting the text (www.math.duke.edu/ode-book). Given its many applications, the book may be used comfortably in science and engineering courses as well as in mathematics courses. Its level is accessible to upper-level undergraduates but still appropriate for graduate students. The thoughtful presentation, which anticipates many confusions of beginning students, makes the book suitable for a teaching environment that emphasizes self-directed, active learning (including the so-called inverted classroom).

Ordinary Differential Equations and Stability Theory:

Author: David A. Sanchez

Publisher: Courier Dover Publications

Published: 2019-09-18

Total Pages: 179

ISBN-13: 0486837599

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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.

Odes

Author: Horace

Publisher:

Published: 1874

Total Pages: 90

ISBN-13:

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Ordinary Differential Equations

Author: William A. Adkins

Publisher: Springer Science & Business Media

Published: 2012-07-01

Total Pages: 799

ISBN-13: 1461436184

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Unlike most texts in differential equations, this textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equation concepts for which it is particularly well suited. For example, the standard solution methods for constant coefficient linear differential equations are immediate and simplified, and solution methods for constant coefficient systems are streamlined. By introducing the Laplace transform early in the text, students become proficient in its use while at the same time learning the standard topics in differential equations. The text also includes proofs of several important theorems that are not usually given in introductory texts. These include a proof of the injectivity of the Laplace transform and a proof of the existence and uniqueness theorem for linear constant coefficient differential equations. Along with its unique traits, this text contains all the topics needed for a standard three- or four-hour, sophomore-level differential equations course for students majoring in science or engineering. These topics include: first order differential equations, general linear differential equations with constant coefficients, second order linear differential equations with variable coefficients, power series methods, and linear systems of differential equations. It is assumed that the reader has had the equivalent of a one-year course in college calculus.

Differential Equations

Author: Shepley L. Ross

Publisher: John Wiley & Sons

Published: 1974

Total Pages: 736

ISBN-13:

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Fundamental methods and applications; Fundamental theory and further methods;

Identity Unknown

Author: Donna Seaman

Publisher: Bloomsbury Publishing USA

Published: 2017-02-14

Total Pages: 480

ISBN-13: 1620407604

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An award-winning writer rescues seven first-rate twentieth-century women artists from oblivion--their lives fascinating, their artwork a revelation. Who hasn't wondered where-aside from Georgia O'Keeffe and Frida Kahlo-all the women artists are? In many art books, they've been marginalized with cold efficiency, summarily dismissed in the captions of group photographs with the phrase "identity unknown" while each male is named. Donna Seaman brings to dazzling life seven of these forgotten artists, among the best of their day: Gertrude Abercrombie, with her dark, surreal paintings and friendships with Dizzy Gillespie and Sonny Rollins; Bay Area self-portraitist Joan Brown; Ree Morton, with her witty, oddly beautiful constructions; Loïs Mailou Jones of the Harlem Renaissance; Lenore Tawney, who combined weaving and sculpture when art and craft were considered mutually exclusive; Christina Ramberg, whose unsettling works drew on pop culture and advertising; and Louise Nevelson, an art-world superstar in her heyday but omitted from recent surveys of her era. These women fought to be treated the same as male artists, to be judged by their work, not their gender or appearance. In brilliant, compassionate prose, Seaman reveals what drove them, how they worked, and how they were perceived by others in a world where women were subjects-not makers-of art. Featuring stunning examples of the artists' work, Identity Unknown speaks to all women about their neglected place in history and the challenges they face to be taken as seriously as men no matter what their chosen field-and to all men interested in women's lives.