Department of Mathematics, Cornell University, Ithaca, USA
Department of Mathematics, Cornell University, Ithaca, USA
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Access this book Other ways to access About this bookMathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM) . The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathe matical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface Consider a first order differential equation of form x' = f ( t, x). In elemen tary courses one frequently gets the impression that such equations can usually be "solved," i. e. , that explicit formulas for the solutions (in terms of powers, exponentials, trigonometric functions, and the like) can usually be found. Nothing could be further from the truth.
Similar content being viewed by others Keywords Table of contents (6 chapters)Pages 197-295
Pages 297-350
.H. Hubbard and B.H. West
Differential Equations: A Dynamical Systems Approach
"As attention has moved from idealized linear differential equations to the nonlinear equations of the real world, there has been a concomitant change of emphasis, even a paradigm shift, from quantitative methods, analytical and numerical, to qualitative methods. Though qualitative methods originated with Poincaré (Poincare) early in this century, the era of large-scale computation and computer graphics has spurred development through a profound confluence of theory and experiment. Hubbard and West demonstrate convincingly that it is feasible and necessary to incorporate this sophisticated viewpoint into the most elementary stages of differential equations pedagogy, even where the focus is still on linear equations. This is an unusual book in being both rigorous and squarely addressed to those students with the most practical needs. The well known exchange value between pictures and words is thoroughly exploited to ground fundamental concepts."—CHOICE
Authors and AffiliationsJohn H. Hubbard, Beverly H. West
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Bibliographic InformationBook Title: Differential Equations: A Dynamical Systems Approach
Book Subtitle: Ordinary Differential Equations
Authors: John H. Hubbard, Beverly H. West
Series Title: Texts in Applied Mathematics
DOI: https://doi.org/10.1007/978-1-4612-0937-9
Publisher: Springer New York, NY
eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 1991
Hardcover ISBN: 978-0-387-97286-2Published: 04 February 1991
Softcover ISBN: 978-1-4612-6952-6Published: 19 November 2013
eBook ISBN: 978-1-4612-0937-9Published: 27 November 2013
Series ISSN: 0939-2475
Series E-ISSN: 2196-9949
Edition Number: 1
Number of Pages: XX, 350
Topics: Analysis
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