Stability, Instability and Chaos: An Introduction to the Theory of Nonlinear...

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Specificaties

Objectstaat
Redelijk: Een boek dat slijtage vertoont. De kaft kan enigszins beschadigd zijn, maar is als geheel ...
Release Year
1994
Book Title
Stability, Instability and Chaos: An Introduction to the Theor...
ISBN
9780521425667

Over dit product

Product Identifiers

Publisher
Cambridge University Press
ISBN-10
0521425662
ISBN-13
9780521425667
eBay Product ID (ePID)
232599

Product Key Features

Number of Pages
404 Pages
Publication Name
Stability, Instability and Chaos : an Introduction to the Theory of Nonlinear Differential Equations
Language
English
Publication Year
1994
Subject
Differential Equations / General, Chaotic Behavior in Systems, General
Type
Textbook
Author
Paul Glendinning
Subject Area
Mathematics, Science
Series
Cambridge Texts in Applied Mathematics Ser.
Format
Trade Paperback

Dimensions

Item Height
0.9 in
Item Weight
20.8 Oz
Item Length
9 in
Item Width
6 in

Additional Product Features

Intended Audience
College Audience
LCCN
94-021451
Dewey Edition
20
Reviews
'This introduction to non-linear differential equations will prove a very useful addition to the JFM reader's library, and will play an important role in the education of future graduate students.' Journal of Fluid Mechanics, 'I have rarely read an introductory matematical book with such pleasure ... Those new graduate students who will use any branch of nonlinear systems theory in their studies, and who have not had the advantage of attending Dr Glendinning's final year undergraduate lectures, should sacrifice their bread and beer for the means to rush out and buy this book. More eminent and senior scientists would equally find it worth the sacrifice of a bottle or two of their favorite claret ... The book is full of excellent and appropriate examples and virtually empty of errors.' J. Brindley, Bulletin of the Institute of Mathematics, 'The book has a vigorous style. Readers will also appreciate Glendinning's efforts to make it clear from the start where his discussions are going and what the important results will be ... Exercises for students, provided in each chapter, are of graded difficulty and nicely cover the material ... This book is likely to become a standard undergraduate mathematics text in non-linear differential equations.' Edward Ott, Nature, 'The author writes clearly and carefully, weaving together general results with a steady supply of simple examples and excercises for the reader. Pick a section of the book to read at random and one is completely confident that effort is going to be rewarded; that the author is really explaining rather than simply recounting.' Times Higher Education Supplement, 'The book has a vigorous style. Readers will also appreciate Glendinning's efforts to make it clear from the start where his discussions are going and what the important results will be ... Exercises for students, provided in each chapter, are of graded difficulty and nicely cover the material ... This book is likely to become a standard undergraduate mathematics text in non-linear differential equations.'Edward Ott, Nature, ‘I have rarely read an introductory matematical book with such pleasure … Those new graduate students who will use any branch of nonlinear systems theory in their studies, and who have not had the advantage of attending Dr Glendinning’s final year undergraduate lectures, should sacrifice their bread and beer for the means to rush out and buy this book. More eminent and senior scientists would equally find it worth the sacrifice of a bottle or two of their favorite claret … The book is full of excellent and appropriate examples and virtually empty of errors.’J. Brindley, Bulletin of the Institute of Mathematics, 'I have rarely read an introductory matematical book with such pleasure ... Those new graduate students who will use any branch of nonlinear systems theory in their studies, and who have not had the advantage of attending Dr Glendinning's final year undergraduate lectures, should sacrifice their bread and beer for the means to rush out and buy this book. More eminent and senior scientists would equally find it worth the sacrifice of a bottle or two of their favorite claret ... The book is full of excellent and appropriate examples and virtually empty of errors.'J. Brindley, Bulletin of the Institute of Mathematics, "...full of excellent and appropriate examples and virtually empty of errors." J. Brindley, The Bulletin of the Institute of Mathematics and its Applications, ‘The author writes clearly and carefully, weaving together general results with a steady supply of simple examples and excercises for the reader. Pick a section of the book to read at random and one is completely confident that effort is going to be rewarded; that the author is really explaining rather than simply recounting.’Times Higher Education Supplement, 'I have rarely read an introductory matematical book with such pleasure … Those new graduate students who will use any branch of nonlinear systems theory in their studies, and who have not had the advantage of attending Dr Glendinning's final year undergraduate lectures, should sacrifice their bread and beer for the means to rush out and buy this book. More eminent and senior scientists would equally find it worth the sacrifice of a bottle or two of their favorite claret … The book is full of excellent and appropriate examples and virtually empty of errors.' J. Brindley, Bulletin of the Institute of Mathematics, ‘The book has a vigorous style. Readers will also appreciate Glendinning’s efforts to make it clear from the start where his discussions are going and what the important results will be … Exercises for students, provided in each chapter, are of graded difficulty and nicely cover the material … This book is likely to become a standard undergraduate mathematics text in non-linear differential equations.’Edward Ott, Nature, 'The author writes clearly and carefully, weaving together general results with a steady supply of simple examples and excercises for the reader. Pick a section of the book to read at random and one is completely confident that effort is going to be rewarded; that the author is really explaining rather than simply recounting.'Times Higher Education Supplement, ‘This introduction to non-linear differential equations will prove a very useful addition to the JFM reader’s library, and will play an important role in the education of future graduate students.’ Journal of Fluid Mechanics, "a coherent application-oriented account of both classical and contemporary theory of nonlinear differential equations...Recommended." D.E. Bentil, Choice, "[Glendinning] has succeeded admirably. The book has a vigorous style. Readers will appreciate Glendinning's efforts to make it clear from the start where his discussions are going and what the important results will be....This book is likely to become a standard undergraduate mathematics text in nonlinear differential equations." Edward Ott, Nature, 'The book has a vigorous style. Readers will also appreciate Glendinning's efforts to make it clear from the start where his discussions are going and what the important results will be … Exercises for students, provided in each chapter, are of graded difficulty and nicely cover the material … This book is likely to become a standard undergraduate mathematics text in non-linear differential equations.' Edward Ott, Nature
Series Volume Number
Series Number 11
Illustrated
Yes
Dewey Decimal
515/.355
Table Of Content
1. Introduction; 2. Stability; 3. Linear differential systems; 4. Linearization and hyperbolicity; 5. Two-dimensional dynamics; 6. Periodic orbits; 7. Perturbation theory; 8. Bifurcation theory I: stationary points; 9. Bifurcation theory II: periodic orbits and maps; 10. Bifurcational miscellany; 11. Chaos; 12. Global bifurcation theory.
Synopsis
By providing an introduction to nonlinear differential equations, Dr. Glendinning aims to equip the student with the mathematical know-how needed to appreciate stability theory and bifurcations. His approach is readable and covers material both old and new to undergraduate courses. Included are treatments of the Poincar -Bendixson theorem, the Hopf bifurcation and chaotic systems., By providing an introduction to nonlinear differential equations, Dr Glendinning aims to equip the student with the mathematical know-how needed to appreciate stability theory and bifurcations. His approach is readable and covers material both old and new to undergraduate courses., By providing an introduction to nonlinear differential equations, Dr Glendinning aims to equip the student with the mathematical know-how needed to appreciate stability theory and bifurcations. His approach is readable and covers material both old and new to undergraduate courses. Included are treatments of the Poincaré-Bendixson theorem, the Hopf bifurcation and chaotic systems. The unique treatment that is found in this book will prove to be an essential guide to stability and chaos., An introduction to nonlinear differential equations which equips undergraduate students with the know-how to appreciate stability theory and bifurcation.
LC Classification Number
QA372 .G56 1994

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