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eBook Nonlinear Ordinary Differential Equations: An Introduction to Dynamical Systems (Oxford Texts in Applied and Engineering Mathematics) ePub

by P. Smith,D. W. Jordan

eBook Nonlinear Ordinary Differential Equations: An Introduction to Dynamical Systems (Oxford Texts in Applied and Engineering Mathematics) ePub
Author: P. Smith,D. W. Jordan
Language: English
ISBN: 0198565631
ISBN13: 978-0198565635
Publisher: Oxford University Press; 3 edition (October 21, 1999)
Pages: 560
Category: Mathematics
Subcategory: Science
Rating: 4.8
Votes: 459
Formats: docx lit mbr azw
ePub file: 1924 kb
Fb2 file: 1461 kb

Jordan and Smith have done an excellent job in describing and providing techniques to solve non-linear differential equations.

Series: Oxford Texts in Applied and Engineering Mathematics (Book 10). Paperback: 560 pages. Jordan and Smith have done an excellent job in describing and providing techniques to solve non-linear differential equations. Non-linear ordinary differential equations are stiff and can be solved numerically, but numerical solutions do not provide physical parametric insight. Consequently, it is often necessary to find a closed analytical solution.

The problem with this book is that it has several mistakes on it, algebraic mistakes especially. On the other hand, it is difficult to find books like this, I mean with a huge variety of exercises including difficult ones. I bought only the solution book, and I like this book because it includes the questions as well.

Dominic Jordan, Peter Smith. Download (pdf, . 4 Mb) Donate Read. Epub FB2 mobi txt RTF. Converted file can differ from the original. If possible, download the file in its original format.

Nonlinear ordinary differential equationswas first published in 1977 and has since become a standard text in the teaching of the subject

Nonlinear ordinary differential equationswas first published in 1977 and has since become a standard text in the teaching of the subject. It takes a qualitative approach, and is designed for advanced undergraduate and graduate students of dynamical systems in mathematics or mathematics-related subjects.

Oxford applied and engineering mathematics) 1. Differential equations, Nonlinear

Oxford applied and engineering mathematics) 1. Differential equations, Nonlinear. I. Smith, Peter, 1935– II. Title, III. Series. Typeset by Newgen Imaging Systems (P) Lt. Chennai, India Printed in Great Britain on acid-free paper by Biddles Lt. King’s Lynn, Norfolk. It presents an introduction to dynamical systems in the context of ordinary differential equations, and is intended for students of mathe-matics, engineering and the sciences, and workers in these areas who are mainly interested in the more direct applications of the subject. The level is about that of nal-year undergraduate, or master’s degree courses in the UK.

Nonlinear Ordinary Differential Equations book. Nonlinear Ordinary Differential Equations was first published in 1977 and has since become a standard text in the teaching of the subject

Nonlinear Ordinary Differential Equations book. Nonlinear Ordinary Differential Equations was first published in 1977 and has since become a standard text in the teaching of the subject.

Nonlinear ordinary differential equations was first published in 1977 and has since become a standard text in the teaching of the subject

Nonlinear ordinary differential equations was first published in 1977 and has since become a standard text in the teaching of the subject.

I am sure you can learn a lot even on your own. 11th Nov, 2013. Silesian University in Opava. Do you need a pure theoretical approach?, I can recomend you a book that engineers and applied math professional uses a lot in the context of control systems. The book es called "Nonlinear Systems" of professor Hassan Khalil. The first part is about an introduction to qualitative theory of nonlinear dynamical systems represented by a vectorial nonlinear ordinary differential equations.

elibrary Engineering and Mathematics Nonlinear Ordinary Differential Equations: An Introduction for . Mathematical Methods for Engineers and Scientists 2 Vector Analysis, Ordinary Differential Equations and Laplace Transforms.

elibrary Engineering and Mathematics Nonlinear Ordinary Differential Equations: An Introduction for Scientists and Engineers (Oxford Texts in Applied and Engineering Mathematics). Mathematical Methods for Engineers and Scientists 3 Fourier Analysis, Partial Differential Equations and Variational Methods. An Introduction to Partial Differential Equation. Excerpt from Tomi Adeyemi’s new novel- Children of Virtue and Vengeance.

Series: Oxford Texts in Applied and Engineering Mathematics. D. W. Jordan and P. Smith Keele University. Additional material reflecting the growth in the literature on nonlinear systems has been included, whilst retaining the basic style and structure of the textbook. The wide applicability of the subject to the physical, engineering, and biological sciences continues to generate a supply of new problems of practical and theoretical interest.

Nonlinear ordinary differential equations was first published in 1977 and has since become a standard text in the teaching of the subject. It takes a qualitative approach, and is designed for advanced undergraduate and graduate students of dynamical systems in mathematics or mathematics-related subjects. The text of this third edition has been completely revised to bring it into line with current teaching, including an expansion of the material on bifurcations and chaos. The book is directed towards practical applications of the theory, with several hundred examples and problems covering a wide variety of applications. Prerequisites are kept to a minimum, with appendices containing the necessary mathematical theory new to this edition. From reviews of the first edition: "The book can profitably be used in a senior undergraduate course. It is well written, well motivated and contains some recent developments of interest which have not been readily accessible before at this level." V. Lakshmikantham in Mathematical Reviews From reviews of the second edition: "The subject has wide applications in physical, biological, and social sciences which continuously supply new problems of practical and theoretical importance. The book does a good job in motivating the reader in such pursuits, and presents the subject in a simple but elegant style."--P. K. Kythe in Applied Mechanics Reviews
FRAY
Jordan and Smith have done an excellent job in describing and providing techniques to solve non-linear differential equations. Non-linear ordinary differential equations are stiff and can be solved numerically, but numerical solutions do not provide physical parametric insight. Consequently, it is often necessary to find a closed analytical solution. When faced with this challenge in my personal research, I looked around for books that would help me solve the non-linear forced differential equation that science had presented to me. Even in a good research university library, I could not find any that beat Jordan and Smith's work. I did find summary presentations in the specialized literature of physics, but those works referenced Jordan and Smith for futher details. Together, Jordan and Smith's textbook and sourcbook provide a wealth of practical information for solving non-linear equations along with lots of good examples. I feel fortunate that I found their work and have successfully solved my equations following their advice. Their work even helped me to visualize and interpret my results. I heartily recommend the two books to anyone faced with the need to solve nonlinear ordinary differential equations using techniques (for example, averaging methods, perturbation methods, Fourier expansion methods, liapunov methods, chaos, etc.# that lie beyond those studied in college for solving linear differential equations.Nonlinear Ordinary Differential Equations: An Introduction for Scientists and Engineers #Oxford Texts in Applied and Engineering Mathematics#Nonlinear Ordinary Differential Equations: Problems and Solutions: A Sourcebook for Scientists and Engineers #Oxford Texts in Applied & Engineering Mathematics)
Tojahn
I used this very intensively when studying for a graduate qualifying exam in ODES. This was not the text used in the course I took but I found it extremely helpful. It is a great book that I will keep around.
Jark
I am taking a Nonlinear Dynamics course in grad school and this is the text book. Although it is very hard for any text book to be absolutely complete (without being extremely large) I think J&S do a good job at covering many aspects. There are several examples for each concept and good explanations. It will earn a place in my shelf of references.
Kazijora
Seller was great - just don't love the actual book
Golkis
I used the 2nd edition of this book for both a master's course in Ordinary Differential Equations (ODEs) and for my master's exam in ODEs. It is an excellent book for an intermediate course in ODEs at the beginning graduate level or to use for self-study. It contains over 500 problems ranging from understanding the basic concepts to generalization of theory. I still have the original copy I used back then in my library.

The topics covered in the book include: phase plane analysis of first order systems and 2nd order ODEs, geometrical and computational aspects of the phase diagram, averaging methods; limit cycles, perturbation, stability, Liapunov and Poincare methods for determining stability, existence of periodic solutions, bifurcation, and an introduction to chaos. Plus it contains many practical applications of ODEs to science and real world problems.

The prerequisites for this book are courses in linear algebra and differential equation. Also, some acquaintance with advanced calculus is useful in understanding the theoretical aspect of ODEs and proving some of the theorems on Liapunov and Poincare stability.
Dolid
(I am referring to the paperpack 3rd edition)

The text serves as an ok introduction to nonlinear ODEs. I would not recommend it for any kind of rigorous course, since the approach is very nonrigorous. There are no theorems, and no attempt at analysis, so you must take everything at the author's word. The book is mainly a large collection of examples. The difficulty of the problems depends on how rigorous you want the answers to be, and there are a lot of answers in the appendix (but without any comments about how they were derived).

Personally, the book irritates me, but I can see its usefulness. One of the main causes of irritation was the unusually high number of typos, at the rate of one per page in some chapters (and in the problems and their solutions too). I find this quite significant. This is the third edition, and there is no excuse for so many errors. I have never encountered a published book with this kind of error rate.

I do not have much experience with similar books, so I can't rate this text in context very well. It is similar to, say, Marion and Thornton's Classical Dynamics, except with less physics (of course) and more on difficult nonlinear ODEs, and with more typos.
Landaron
I am in an introductory graduate level math course using this textbook. I agree with the other reviewer who criticizes its lack of rigor, numerous typos, and overabundance of examples. The text is not well-written, so the authors wander among seemingly related topics within each chapter without giving much explanation of their background or intuitive insight into the physical phenomena they describe. Moreover, the examples have not been very instructive for me. They often leave out several steps (for example, many assume that you already have an analytic solution for a differential equation, thus I sometimes find myself needing to use Mathematica to derive one). The problems are loosely related to the examples, but there is enough of a disconnect between the two so that I have trouble doing the homework assignments. I find myself referring to other (more elementary) texts on differential equations for better insight into the problems.

I strongly discourage the use of this book and am looking forward to when the class ends.
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