This corrected third printing retains the authors'main emphasis on ordinary differential equations. It is most appropriate for upper level undergraduate and graduate students in the fields of mathematics, engineering, and applied mathematics, as well as the life sciences, physics and economics. The authors have taken the view that a differential equations theory defines functions; the object of the theory is to understand the behaviour of these functions. The tools the authors use include qualitative and numerical methods besides the traditional analytic methods, and the companion software, MacMath, is designed to bring these notions to life.
Differential Equations
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Editorial Reviews
Review
.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
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8 of 9 people found the following review helpful:
5.0 out of 5 stars
Unusually Excellent book on Diff-Eq,
By
This review is from: Differential Equations: A Dynamical Systems Approach - Ordinary Differential Equations (Texts in Applied Mathematics , No 5) (Pt. 1) (Hardcover)
The vast majority of books on differential equations (at any level--introductory or advanced) are absolute garbage. This book is a true exception.
Easy to read, extraordinarily compact, very deep. This book is suitable for anyone attempting to learn differential equations: it has a lot of very useful and well-written explanatory text, and it paints an overall picture of the subject in addition to teaching specific techniques and giving the reader a good sense of which techniques are useful in which situations. It assumes very little background (basic calculus) but gets into some very advanced material fairly quickly. Don't waste your time with the typical big undergrad diffeq books--get one like this: you will not regret it!
5 of 18 people found the following review helpful:
5.0 out of 5 stars
Excellent book!,
By A Customer
This review is from: Differential Equations: A Dynamical Systems Approach. Part II: Higher Dimensional Systems (Texts in Applied Mathematics) (Pt. 2) (Hardcover)
Very clear and intuitive upper-undergrad/graduate level text. I highly recomend it.
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Inside This Book
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First Sentence:
Differential equations are the main tool with which scientists make mathematical models of real systems. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
narrowing antifunnel, bucket equation, program numerical methods, upper fence, using isoclines, lower fence, attractive cycle, cascade picture, exceptional solution, radioactive decay equation, periodic differential equations, slope marks, attracting fixed point, iterative system, repelling fixed point, rounding round, bounded orbits, asymptotic development, uniqueness criterion, slope field, vertical asymptotes, slope error, periodic points, power series solution, nth iterate Key Phrases - Capitalized Phrases (CAPs): (learn more)
Fundamental Inequality, Fence Theorem, Antifunnel Theorem, Miscellaneous Problems, Qualitative Description of Solutions, Euler Euler Kutta, Mean Value Theorem, Periodic Equations New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Differential equations are the main tool with which scientists make mathematical models of real systems. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
narrowing antifunnel, bucket equation, program numerical methods, upper fence, using isoclines, lower fence, attractive cycle, cascade picture, exceptional solution, radioactive decay equation, periodic differential equations, slope marks, attracting fixed point, iterative system, repelling fixed point, rounding round, bounded orbits, asymptotic development, uniqueness criterion, slope field, vertical asymptotes, slope error, periodic points, power series solution, nth iterate Key Phrases - Capitalized Phrases (CAPs): (learn more)
Fundamental Inequality, Fence Theorem, Antifunnel Theorem, Miscellaneous Problems, Qualitative Description of Solutions, Euler Euler Kutta, Mean Value Theorem, Periodic Equations New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 35
books:
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39
books
cite this book:
See all 39 books citing this book
- Partial Differential Equations (Applied Mathematical Sciences) (v. 1) by Fritz John in Front Matter (1), and Front Matter (2)
- Differential Equations and Dynamical Systems by J.K. Hale in Front Matter
- Growth and Diffusion Phenomena: Mathematical Frameworks and Applications (Texts in Applied Mathematics) by Robert B. Banks in Front Matter
- Introduction to Fluid Mechanics by James E. A. John in Front Matter
- Introduction to Perturbation Methods by Mark H. Holmes in Front Matter
See all 35 books this book cites
- Partial Differential Equations with Numerical Methods (Texts in Applied Mathematics) by Stig Larsson in Front Matter
- Waves and Compressible Flow (Texts in Applied Mathematics) by Hilary Ockendon in Front Matter
- Introduction to the Theory of Stability (Texts in Applied Mathematics) (Vol 24) by David R. Merkin in Front Matter
- Partial Differential Equations: Basic Theory (Texts in Applied Mathematics) by Michael E. Taylor in Front Matter
- Introductory Functional Analysis : With Applications to Boundary Value Problems and Finite Elements (Texts in Applied Mathematics, Vol. 27) by B. Daya Reddy in Front Matter
See all 39 books citing this book
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