Book Description
"Dynamical Systems with Applications using MAPLE" covers standard material for an introduction to dynamical systems theory. The text begins with a tutorial guide to MAPLE and thereafter is divided into two main areas: continuous systems using ordinary differential equations and discrete dynamical systems. In the first part of the text, differential equations are used to model examples taken from various disciplines, including mechanical systems, chemical kinetics, electric circuits, interacting species, and economics. In the second half, both real and complex discrete dynamical systems are considered and examples are taken from economics, population dynamics, nonlinear optics, and materials science.
Approximately 200 illustrations, over 250 examples, and exercises with solutions play a key role in the presentation. The book has a hands-on approach, using MAPLE as a tool throughout.Common themes such as bifurcation, bistability, chaos, instability, multistability, and periodicity run through several chapters. Some chapters deal with recently published research articles and provide a useful resource for open problems in nonlinear dynamical systems.
The text is aimed at senior undergraduates, graduate students, and working scientists in various branches of applied mathematics, the natural sciences, and engineering.
Customer Reviews:
Maple a powerfull tool.......2007-10-08
This is an excellent book. It helps the beginners of "Dynamical Systems" to understand this branch of Mathematical Physics using Maple. It is very useful for undergraduate students as well as for teachers.
More information.......2003-09-30
Thought I'd give a more in depth review than the others here.
Most advanced math textbooks contain one or two chapters that turn me off. I must say that every chapter in this book had useful information or very good applications.
The opening chapter is a brief introduction to Maple V (some Maple 8 commands are posted on the books website). Note that Maple 9 is now out and no doubt Maple X will soon follow.
Chapters 1-7 cover planar systems in some detail, vectorfield in DEplot is a real winner here. Chapters 8 and 9 cover 3D and nonautonomous systems - the poincare command in Maple is a real time saver.
Chapters 10-12 cover a lot of research results on limit cycles - the most lucid I have seen in any textbook.
The remaining half of the book concentrates on both real and complex discrete systems. There are the usual cobweb diagrams, bifurcation diagrams and Mandelbrot set. Where this book comes into its own, however, is in Chapters 16-20.
Lasers and nonlinear optics are investigated using complex iterative maps. Fractals and even multifractals are discussed in some detail. The book ends with a chapter dedicated to chaos control.
Overall, the book is concise with pertinent examples and applications. It is not dogged down with math notation, theorems and proofs.
Strogatz, Perko and Allgood are good books to practice more Maple programing techniques.
This is great book.......2003-08-05
This is only book I find with program files that work right away. Graphics in Maple is excelent for chaotic system and algebra very powerful. I like to rotate figures in 3D and use animation. I learn more about optics, it nice to see complex numbers used in applications. Lots of other applications also.
Book is best for students who want to get programs working quickly. There is a website with working programs. You should also look at Maple Application website for many many examples.
I recomend book to everyone.
very nice introduction to dynamical systems.......2002-02-08
This book is a very nice introduction to the theory of dynamical
systems. It covers all aspects and even more than usually thaught
in a class on dynamical systems. Especially, I like to see
many examples for various applications. These examples and the
Maple programs make it well suitable for students to learn
on dynamical systems by themself.
The MAPLE programs and web pages make this book unique........2001-08-04
A great book. Great web pages and short, easy to copy and edit
Maple programs. Lots of material not covered in other books on this topic. Maple is my favorite package. The others are not
as user friendly. I felt I must write again since amazon have been showing excerpts from book. What a geat idea. Chapters in this book that interested me were fractals, multifractals and
optics. Authors web-site is given on back cover of book. Enjoy!
Book Description
This book developed over 20 years of the author teaching the course at his own university. It serves as a text for a graduate level course in the theory of ordinary differential equations, written from a dynamical systems point of view. It contains both theory and applications, with the applications interwoven with the theory throughout the text. The author also links ordinary differential equations with advanced mathematical topics such as differential geometry, Lie group theory, analysis in infinite-dimensional spaces and even abstract algebra.
The second edition incorporates corrections and improvements of the original text. New material includes a proof of the Grobman-Hartman theorem for flows based on the Lie derivative, more extensive treatment of the Euler-Lagrange equation and its applications, a proof of Noether's theorem on the existence of first integrals in the presence of symmetries and a new section on dynamic bifurcation with a proof of Pontryagin's formula. The impressive array of existing exercises has been more than doubled in size and further enhanced in scope, providing mathematics, physical science and engineering graduate students with a thorough introduction to the theory and application of ordinary differential equations.
Reviews of the first edition:
``As an applied mathematics text on linear and nonlinear equations, the book by Chicone is written with stimulating enthusiasm. It will certainly appeal to many students and researchers.'' -- F. Verhulst, SIAM Review
``The author writes lucidly and in an engaging conversational style. His book is wide-ranging in its subject matter, thorough in its presentation, and written at a generally high level of generality, detail, and rigor.'' -- D. S. Shafer, Mathematical Reviews
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Dynamic Equations on Time Scales: An Introduction with Applications
Martin Bohner , and
Allan Peterson
Manufacturer: Birkhäuser Boston
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Advances in Dynamic Equations on Time Scales
ASIN: 0817642250 |
Book Description
The study of dynamic equations on a measure chain (time scale) goes back to its founder S. Hilger (1988), and is a new area of still fairly theoretical exploration in mathematics. Motivating the subject is the notion that dynamic equations on measure chains can build bridges between continuous and discrete mathematics. Further, the study of measure chain theory has led to several important applications, e.g., in the study of insect population models, neural networks, heat transfer, and epidemic models. Key features of the book: * Introduction to measure chain theory; discussion of its usefulness in allowing for the simultaneous development of differential equations and difference equations without having to repeat analogous proofs * Many classical formulas or procedures for differential and difference equations cast in a new light * New analogues of many of the "special functions" studied * Examination of the properties of the "exponential function" on time scales, which can be defined and investigated using a particularly simple linear equation * Additional topics covered: self-adjoint equations, linear systems, higher order equations, dynamic inequalities, and symplectic dynamic systems * Clear, motivated exposition, beginning with preliminaries and progressing to more sophisticated text * Ample examples and exercises throughout the book * Solutions to selected problems Requiring only a first semester of calculus and linear algebra, Dynamic Equations on Time Scales may be considered as an interesting approach to differential equations via exposure to continuous and discrete analysis. This approach provides an early encounter with many applications in such areas as biology, physics, and engineering. Parts of the book may be used in a special topics seminar at the senior undergraduate or beginning graduate levels. Finally, the work may serve as a reference to stimulate the development of new kinds of equations with potentially new applications.
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Ordinary Differential Equations: With Applications
Bernard J. Rice , and
Jerry D. Strange
Manufacturer: Thomson Brooks/Cole
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ASIN: 0534213189 |
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Differential Equations with Operator Coefficients: with Applications to Boundary Value Problems for Partial Differential Equations (Springer Monographs in Mathematics)
Vladimir Kozlov , and
Vladimir Maz'ya
Manufacturer: Springer
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ASIN: 3540651195 |
Book Description
This book is the first systematic and self-contained presentation of a theory of arbitrary order ordinary differential equations with unbounded operator coefficients in a Hilbert or Banach space, developed over the last 10 years by the authors. It deals with conditions of solvability, classes of uniqueness, estimates for solutions and asymptotic representations of solutions at infinity. The authors show how the classical asymptotic theory of ODEs. with scalar coefficients can be extended to very general equations with unbounded operator coefficients. In contrast to other works the authors' approach enables them to obtain asymptotic formulae for solutions under weak conditions on the coefficients of equations. The abstract results are complemented by many new applications to the theory of PDEs. An appendix provides a systematic treatment of the theory of holomorphic operator functions.
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Optimization-Theory and Applications: Problems With Ordinary Differential Equations (Applications of Mathematics)
Lamberto Cesari
Manufacturer: Springer
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Ordinary Differential Equations With Applications
Larry C. Andrews
Manufacturer: Scott Foresman & Co
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ASIN: 0673158004 |
Average customer rating:
- Want a blow-em up spy-novel, go elsewhere...
- Ah, Newfoundland
- A Great Novel
- !!!Can't get any worse than this!!!
- No word of a lie the boredom will kill you
|
The Shipping News : A Novel
Annie Proulx
Manufacturer: Scribner
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Close Range: Wyoming Stories
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The Shipping News
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Bad Dirt : Wyoming Stories 2
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Postcards
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Heart Songs and Other Stories
ASIN: 0743225422
Release Date: 2001-11-27 |
Amazon.com
In this touching and atmospheric novel set among the fishermen of Newfoundland, Proulx tells the story of Quoyle. From all outward appearances, Quoyle has gone through his first 36 years on earth as a big schlump of a loser. He's not attractive, he's not brilliant or witty or talented, and he's not the kind of person who typically assumes the central position in a novel. But Proulx creates a simple and compelling tale of Quoyle's psychological and spiritual growth. Along the way, we get to look in on the maritime beauty of what is probably a disappearing way of life.
Book Description
When Quoyle's two-timing wife meets her just deserts, he retreats with his two daughters to his ancestral home on the starkly beautiful Newfoundland coast, where a rich cast of local characters and family members all play a part in Quoyle's struggle to reclaim his life. As Quoyle confronts his private demons -- and the unpredictable forces of nature and society -- he begins to see the possibility of love without pain or misery.
A vigorous, darkly comic, and at times magical portrait of the contemporary North American family, The Shipping News shows why Annie Proulx is recognized as one of the most gifted and original writers in America today.
Customer Reviews:
Want a blow-em up spy-novel, go elsewhere..........2007-08-29
Yes, the book does move a bit slower than the average Michael Crichton... in my mind, this is a good thing.
The slowly weaving lyrical cadence of Proulx's writing came as a nice surprise to me. Her writing would never have passed by my fifth-grade grammar teacher's red-pen; however, her knack for flowing paragraphs weaves a tale that's hard to put down.
The story begins by introducing a slightly dense Quoyle, a 36 year old who you wish would get mad at his surroundings a bit more and make a few changes to better his life. Instead, he seems to take things as they come; in the beginning, the things that come are horrible. A move prompted by an Aunt brings him to his ancestral home in Newfoundland. With the move, he finds a large family house, sitting neglected, along with the small-town preconceptions of his family. Luckily, his local friends put off their judgments. With this new move, he slowly finds himself in better circumstances. Nothing much has changed, many things are still rough, but slowly and surely Quoyle's life is taking an upswing. Finally we see the chance and evolution of a happier life coming to someone who yearned for just that for so long.
Throughout the book the temperament of the sea and the local cadence for life is a character unto itself. Proulx dots her chapters with excerpts of the famous Ashley's Book of Knots, which add a seafaring charm to each.
I was afraid throughout this enjoyable book that Proulx would feel the need to alter the ending to make some serious statements at the closing. I was very happy to find that her statement was made very softly, and with the deft hand of an accomplished writer. There was no "axe dropping" to be had, other than the close of a book-cover that you wished to re-open again very soon.
Ah, Newfoundland.......2007-08-21
If you've never been there, you'll want to go after reading this book. I bought it as I was getting ready to fly out of St. John's, Newfoundland.
I started reading "Shipping News" sitting in the airport, way ahead of schedule. From page one, I was captivated. The characters are so real; the story could be any tiny town on the coast of Newfoundland (by the way, it is pronounced using the mnemonic "Understand"....same emphasis as on the word "Newfoundland"). Having just recently purchased such a home, I could relate to the characters.
I laughed aloud constantly. Such fun! I am sure all of the fine folks I was sitting with the in the airport thought I was a bit mad. Occasionally, I would look up and I could see the unique personalities I was reading about.
The people of Newfoundland, mostly of Irish descent (with a lilt to their accent), have always had a hard scrabble life. They are a unique breed of human beings, and are portrayed in Shipping News with the respect they deserve. It is a tender, funny and sometimes harsh look at the life of the people who inhabit "The Rock". It is a book that I have read over and over, and give as a gift to my best girlfriends.
I recommend reading the book before watching the movie, but you will find much lacking in the movie, even though it's very well done.
Every time I pick up the book, I yearn to go "home"..............
A Great Novel.......2007-07-16
This is what writing is all about. A fantastic story constructed in a unique way, far from the mainstream. The characters in the Shipping News are wonderfully rich and far from mundane. The story is full of life and I only wish that there were more books out there that could create such an enjoyable world for me to lose myself in. How anyone could rip on The Shipping News is beyond me. Maybe they can't go beyond the cookie cutter world of best selling authors.
!!!Can't get any worse than this!!!.......2007-04-30
The Shipping news is about an average guy named Quoyle who tries to start a new life in Newfoundland. His two-timing wife died in a car crash and his parents have committed suicide so his aunt comes down to stay with Quoyle and his two lovely young girls. Soon after the aunt, Quoyle and the girls set off to Newfoundland to start a new life. Quoyle gets a job at the local news paper and the aunt sets up an upholstery shop. They both uncover various things about there past and their ancestors. This whole plot line is just way to confusing and not interesting enough. This book is lacking in irony. There are no surprises or any hooks to pull you in. You also don't feel any connection to the characters and it is pointless to read. This book is filled with detail, but it uses such strong vocabulary you forget what is being described in the first place. This book seems to go on forever; the pages just drag on and on. I wouldn't recommend this book to anyone!
No word of a lie the boredom will kill you .......2007-04-16
i hattttttted this book. i was on holidays and staying on a remote island, innocently i picked up this book on route and cursed my bad luck for weeks after. Its so slow-moving and mind-numbingly boring you'll actually pray for death. it became my Everest. every agonising page seemed to go on for about a hundred years. Quoyle or whatever he's called is the dullest character in the history of the written word, don't get me started on his daughters and it does nova scotia no favours at all. i have no idea what the author was thinking and have never dared or will never dare read another word she writes. if you're interested yep i finished it and then lit a match and had me a little bonfire!!!!!!!!!!
Average customer rating:
- Excellent Reading
- THE ENDING ISN'T AS IMPORTANT AS THE TRIP
- A very enjoyable book
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Annie Proulx's The Shipping News: A Reader's Guide (Continuum Contemporaries)
Aliki Varvogli
Manufacturer: Continuum International Publishing Group
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The Shipping News
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Close Range: Wyoming Stories
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David Guterson's Snow Falling on Cedars: A Reader's Guide (Continuum Contemporaries)
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Postcards
ASIN: 0826452337 |
Book Description
This is part of a new series of guides to contemporary novels. The aim of the series is to give readers accessible and informative introductions to some of the most popular, most acclaimed and most influential novels of recent years - from `The Remains of the Day' to `White Teeth'. A team of contemporary fiction scholars from both sides of the Atlantic has been assembled to provide a thorough and readable analysis of each of the novels in question.
Customer Reviews:
Excellent Reading.......2002-10-04
A book worth reading, 'The Shipping News' focuses on a man called Quoyle, his life and his family. Set in Newfoundland amongst local people and extreme weather conditions, Quoyle carves out a new life for himself, with his Aunt and his daughters. Working for the local newspaper, Quoyle learns to cope with the death of his wife, a new lifestyle, and ends his journey in a classic story of self-discovery.
THE ENDING ISN'T AS IMPORTANT AS THE TRIP.......2002-03-02
It was an enjoyable journey through a strange place and quite a cast of eccentric, warm, briney characters. A wonderful read!
A very enjoyable book.......2002-01-31
I wasn't quite sure what to expect from this book and it was a pleasant surprise, very different from the other readers guides that I've seen. It provided quite a lot more background about Proulx than I've read before, but the main part of it was a fairly indepth reading of The Shipping News. This part is full of very interesting ideas about storytelling, escapism, and the clever things that Proulx does with the narrative. The author managed to explain her ideas very clearly, and I really felt that I had learned something by the end of it. It's a shame that I guess the book came out too close to the film, as I'd like to read what the author thought about that, too. I loved it!
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