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Author: Lawrence F. Shampine Publisher: Cambridge University Press ISBN: 9780521530941 Category : Computers Languages : en Pages : 276
Book Description
This concise text, first published in 2003, is for a one-semester course for upper-level undergraduates and beginning graduate students in engineering, science, and mathematics, and can also serve as a quick reference for professionals. The major topics in ordinary differential equations, initial value problems, boundary value problems, and delay differential equations, are usually taught in three separate semester-long courses. This single book provides a sound treatment of all three in fewer than 300 pages. Each chapter begins with a discussion of the 'facts of life' for the problem, mainly by means of examples. Numerical methods for the problem are then developed, but only those methods most widely used. The treatment of each method is brief and technical issues are minimized, but all the issues important in practice and for understanding the codes are discussed. The last part of each chapter is a tutorial that shows how to solve problems by means of small, but realistic, examples.
Author: Pablo Neruda Publisher: Host Publications, Inc. ISBN: 9780924047138 Category : Poetry Languages : en Pages : 392
Book Description
Poetry. Latino/Latina Studies. Translated from the Spanish by George Schade. This bilingual edition of FIFTY ODES by Pablo Neruda, lovingly translated by Latin American scholar George Schade belongs in the collection of every serious poetry lover. Neruda magically transforms everyday objects, from dogs to dictionaries, into essential elements of an always amazing and surprising world. Alastair Reade, dean of Latin American poetry translators, declares, "These translations have the same fizziness, the same physical excitement that Pablo Neruda has."
Author: Lawrence F. Shampine Publisher: Cambridge University Press ISBN: 9780521530941 Category : Computers Languages : en Pages : 276
Book Description
This concise text, first published in 2003, is for a one-semester course for upper-level undergraduates and beginning graduate students in engineering, science, and mathematics, and can also serve as a quick reference for professionals. The major topics in ordinary differential equations, initial value problems, boundary value problems, and delay differential equations, are usually taught in three separate semester-long courses. This single book provides a sound treatment of all three in fewer than 300 pages. Each chapter begins with a discussion of the 'facts of life' for the problem, mainly by means of examples. Numerical methods for the problem are then developed, but only those methods most widely used. The treatment of each method is brief and technical issues are minimized, but all the issues important in practice and for understanding the codes are discussed. The last part of each chapter is a tutorial that shows how to solve problems by means of small, but realistic, examples.
Author: Morris Tenenbaum Publisher: Courier Corporation ISBN: 0486649407 Category : Mathematics Languages : en Pages : 852
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.
Author: George Finlay Simmons Publisher: McGraw-Hill Science, Engineering & Mathematics ISBN: 9780072863161 Category : Differential equations Languages : en Pages : 0
Book Description
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.
Author: Donna Seaman Publisher: University of Georgia Press ISBN: 9780820324579 Category : Fiction Languages : en Pages : 320
Book Description
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.
Author: William A. Adkins Publisher: Springer Science & Business Media ISBN: 1461436184 Category : Mathematics Languages : en Pages : 807
Book Description
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.
Author: David G. Schaeffer Publisher: Springer ISBN: 1493963899 Category : Mathematics Languages : en Pages : 565
Book Description
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).
Author: Donna Seaman Publisher: Bloomsbury Publishing USA ISBN: 1620407604 Category : Art Languages : en Pages : 481
Book Description
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.
Author: Gerald Teschl Publisher: American Mathematical Society ISBN: 147047641X Category : Mathematics Languages : en Pages : 370
Book Description
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: Lawrence F. Shampine
Author: Pablo Neruda
Author: Lawrence F. Shampine
Author: Morris Tenenbaum
Author: George Finlay Simmons
Author: Donna Seaman
Author: William A. Adkins
Author: David G. Schaeffer
Author: Donna Seaman
Author: Gerald Teschl
Author: Shepley L. Ross