Equations, Dynamical Systems, and an Introduction to Chaos. Book • 3rd Edition • Authors: Morris W. Hirsch, Stephen Smale and Robert L. Devaney . M. W. Hirsch, S. Smale and R. Devaney, “Differential Equations, Dynamical Systems, and an Introduction to Chaos,” 3rd Ed. (required); W. Boyce and R. DiPrima. Errata and Other Infelicities in the Text. DIFFERENTIAL EQUATIONS, DYNAMICAL SYSTEMS, AND AN INTRODUCTION TO CHAOS. Page xiv, line 1: I would.
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It provides a theoretical approach to dynamical systems and chaos written for a diverse student population among the fields of mathematics, science, and engineering. Prominent experts provide everything devney need to know about dynamical systems as students seek to develop sufficient mathematical skills to analyze the types of differential equations that arise in their area of study. The authors provide rigorous exercises and examples clearly and easily by slowly introducing linear systems of differential equations.
Calculus is required as specialized advanced topics not usually found in elementary differential equations courses are included, such as exploring the world of discrete dynamical systems and describing chaotic systems.
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Page 1 of 1 Start over Page 1 of 1. With Applications to Physics, Biology, Chemistry, and Edition Studies in Nonlinearity Volume 1. Differential Equations and Linear Algebra. A Dynamical Systems Approach: Academic Press; 3 edition March devxney, Language: Try the Kindle edition and experience these great reading features: Share your thoughts with other customers.
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Mathematics 4200, Fall 2016
Kindle Edition Verified Purchase. This review is about the Kindle edition only. The equations are very faint and some symbols cannot be made out.
Buy the Hardcover edition instead. One person found this helpful. I often found myself wishing for a more structured approach to the topics covered in the book. In many early chapters key points are introduced in devamey rather than as theorems or propositions or the like.
It did provide some nice intuition, but overall I’d recommend getting a more “traditional” book on the subject as well if you get assigned this book for a class.
This book is a great balance of concrete examples and general results. It’s proven very useful for independent study and is almost entirely self contained. It would have been nice to have separate existence and uniqueness proofs in chapter 17 but the proof provided is sufficient and decent to read. NOT a easy book to follow by First off, Great book.
NOT a easy book to follow by any means, but decent in its own right. Hiesch thats right, what am I reviewing, It arrived relatively quickly, and was in excellent shape. Great for those interested in topic excellent reference.
Math Honors Differential Equations
I read this book quicker than I wanted to. It will be a wonderful resource to come back with the explorations and the exercises. As such this review pertains to reading rather than getting the most out of this book. This limitation aside, this is a very clearly written and illustrated book. There is a progressive increase in complexity proceeding from one dimensional linear autonomous differential equations, to linearisation of non-linear equation, qualitative assessments through analysis of equilibrium points, Poincare maps.
The section introducing smzle focussing on hallmarks of density of periodic orbits, transitivity and sensitivity to initial conditions is very interesting.
I found the chaotic behaviour of logistic map and relation eevaney to Cantor sets very interesting. It is a very good textbook and I look forward to a time when I can maximize my learning by diving into the explorations esp.
I have been using this book for years. I wish I could get into some of the specifics that I found most useful, but I lent it to a student and they never gave it back. That makes sense–this book saved my bacon when I took an innocuously named “Applied Dynamical Systems” class ha! I found that the descriptions, and particularly the illustrations, smaale more detail than Strogatz, and with greater brevity, without assuming an excess of knowledge.
At the time that I read this book, I had only taken an introductory class on ODEs, and a pretty light one at that. With some googling and supplemental exercises, I got through the material alright.
I particularly appreciated the useful examples, which I still find myself consulting now and then, especially while preparing for lectures. I highly recommend it.
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The first chapter is maybe the most important chapter of any book, and the problem with this one is that it fails to motivate the material, while frustrating the reader because it skips many steps in the calculation.
Three to five pages in, you are already asking yourself about the merit of the small details in the calculations when the big picture of the concepts is not explained.
I came back 8 years later to write this comment, which should be an indication to the enthusiastic new math student who is eager to learn this subject. As a result of the course I took with this book, I missed the very basics of differential equations, which hurt me in PDEs, and as a result, I specialized in subjects that were completely orthogonal to differential equations. What can you do, now that it’s all in the past?
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