A Short Course in Ordinary Differential Equations PDF Download
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Author: Qingkai Kong
Publisher: Springer
ISBN: 3319112392
Category : Mathematics
Languages : en
Pages : 276
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Book Description
This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear differential equations, Lyapunov stability, dynamical systems and the Poincaré—Bendixson theorem, and bifurcation theory, and second-order topics including oscillation theory, boundary value problems, and Sturm—Liouville problems. The presentation is clear and easy-to-understand, with figures and copious examples illustrating the meaning of and motivation behind definitions, hypotheses, and general theorems. A thoughtfully conceived selection of exercises together with answers and hints reinforce the reader's understanding of the material. Prerequisites are limited to advanced calculus and the elementary theory of differential equations and linear algebra, making the text suitable for senior undergraduates as well.
Author: Qingkai Kong
Publisher: Springer
ISBN: 3319112392
Category : Mathematics
Languages : en
Pages : 276
Get Book Here
Book Description
This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear differential equations, Lyapunov stability, dynamical systems and the Poincaré—Bendixson theorem, and bifurcation theory, and second-order topics including oscillation theory, boundary value problems, and Sturm—Liouville problems. The presentation is clear and easy-to-understand, with figures and copious examples illustrating the meaning of and motivation behind definitions, hypotheses, and general theorems. A thoughtfully conceived selection of exercises together with answers and hints reinforce the reader's understanding of the material. Prerequisites are limited to advanced calculus and the elementary theory of differential equations and linear algebra, making the text suitable for senior undergraduates as well.
Author: Earl David Rainville
Publisher: MacMillan Publishing Company
ISBN:
Category : Mathematics
Languages : en
Pages : 364
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Book Description
Author: Earl David Rainville
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 332
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Book Description
Author: H. S. Bear
Publisher: Courier Corporation
ISBN: 0486143643
Category : Mathematics
Languages : en
Pages : 226
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Book Description
First-rate introduction for undergraduates examines first order equations, complex-valued solutions, linear differential operators, the Laplace transform, Picard's existence theorem, and much more. Includes problems and solutions.
Author: Donald Francis Campbell
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 122
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Book Description
Author: Donald Francis Campbell
Publisher: Forgotten Books
ISBN: 9781330304358
Category : Mathematics
Languages : en
Pages : 141
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Book Description
Excerpt from A Short Course on Differential Equations In many Colleges of Engineering, the need is felt for a text book on Differential Equations, limited in scope yet comprehensive enough to furnish the student of engineering with sufficient information to enable him to deal intelligently with any differential equation which he is likely to encounter. To meet this need is the object of this book. Throughout the book, I have endeavored to confine myself strictly to those principles which are of interest to the student of engineering. In the selection of problems, the aim was constantly before me to choose only those that illustrate differential equations or mathematical principles which the engineer may meet in the practice of his profession. I have consulted freely the Treatises on Differential Equations of Boole, Forsyth, Johnson, and Murray. I am indebted to two of my colleagues, Professors N. C. Riggs and C. W. Leigh, for reading parts of the manuscript and verifying many of the answers to problems. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author: Donald Francis Campbell
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 146
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Book Description
Author: Earl David RAINVILLE
Publisher:
ISBN:
Category :
Languages : en
Pages : 259
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Book Description
Author: D. F. Campbell
Publisher:
ISBN:
Category :
Languages : en
Pages : 123
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Book Description
Author: Morris Tenenbaum
Publisher: Courier Corporation
ISBN: 0486649407
Category : Mathematics
Languages : en
Pages : 852
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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.
