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Averaging Methods in Nonlinear Dynamical System, Sanders, Verhulst, Murdock-,
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eBay-objectnummer:335217278187
Specificaties
- Objectstaat
- PublishedOn
- 2007-07-06
- Title
- Averaging Methods in Nonlinear Dynamical Systems (Applied Mathem
- ISBN
- 9780387489162
- Publication Name
- Averaging Methods in Nonlinear Dynamical Systems
- Item Length
- 9.3in
- Publisher
- Springer New York
- Publication Year
- 2007
- Series
- Applied Mathematical Sciences Ser.
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 0.4in
- Features
- Revised
- Item Width
- 6.1in
- Item Weight
- 30.1 Oz
- Number of Pages
- Xxiv, 434 Pages
Over dit product
Product Information
This second edition offers a wide-ranging update and revision of the previous edition. The updated chapters represent new insights in averaging, in particular its relation with dynamical systems and the theory of normal forms. Also new are survey appendices on invariant manifolds. Since the first edition, the book has expanded in length and a third author, James Murdock has been added. One of the most striking features of the book is the collection of examples, which range from the very simple to some that are elaborate, realistic, and of considerable practical importance. Most of them are presented in careful detail and are illustrated with profuse, illuminating diagrams.
Product Identifiers
Publisher
Springer New York
ISBN-10
0387489169
ISBN-13
9780387489162
eBay Product ID (ePID)
57195520
Product Key Features
Publication Name
Averaging Methods in Nonlinear Dynamical Systems
Format
Hardcover
Language
English
Features
Revised
Publication Year
2007
Series
Applied Mathematical Sciences Ser.
Type
Textbook
Number of Pages
Xxiv, 434 Pages
Dimensions
Item Length
9.3in
Item Height
0.4in
Item Width
6.1in
Item Weight
30.1 Oz
Additional Product Features
Series Volume Number
59
Number of Volumes
1 Vol.
Lc Classification Number
Qa843-871
Edition Description
Revised Edition
Edition Number
2
Reviews
From the reviews of the second edition:"This monograph is a second edition comprising a thorough revision and an expansion of the first one … . Thus, the reader is exposed to the practice of examining both concrete applications … and theory. … comprehensive content is extremely well written. … The presentation is self-contained, thus offering a high level and convenient exposition to those who wish to study the subject matter as a whole. … The text introduces particular notations which are not too common in the literature." (Zvi Artstein, Mathematical Reviews, Issue 2008 h)"The new book will be an ideal place to learn about averaging, including what's new in the last quarter century … . Overall, the authors are to be commended for writing this timely and important piece of scholarship, which should teach many about their topic and related analysis." (Robert E. O' Malley, Jr., Siam Review, Vol. 51 (1), 2009)This monograph is a revised and expanded second edition of the original text from 1985 by the first two authors. This first edition has since then become one of the standard references for the modern theory of averaging and singular perturbations of ordinary differential equations. Without doubt the second edition will continue this legacy. … The book is well-written with full proves and a wealth of enlightening examples. It can only be warmly recommended to everybody working in this field … . (G. Teschl, Monatshefte für Mathematik, Vol. 156 (4), April, 2009), From the reviews of the second edition: "This monograph is a second edition comprising a thorough revision and an expansion of the first one ... . Thus, the reader is exposed to the practice of examining both concrete applications ... and theory. ... comprehensive content is extremely well written. ... The presentation is self-contained, thus offering a high level and convenient exposition to those who wish to study the subject matter as a whole. ... The text introduces particular notations which are not too common in the literature." (Zvi Artstein, Mathematical Reviews, Issue 2008 h) "The new book will be an ideal place to learn about averaging, including what's new in the last quarter century ... . Overall, the authors are to be commended for writing this timely and important piece of scholarship, which should teach many about their topic and related analysis." (Robert E. O' Malley, Jr., Siam Review, Vol. 51 (1), 2009) "This monograph is a revised and expanded second edition of the original text from 1985 by the first two authors. This first edition has since then become one of the standard references for the modern theory of averaging and singular perturbations of ordinary differential equations. Without doubt the second edition will continue this legacy. ... The book is well-written with full proves and a wealth of enlightening examples. It can only be warmly recommended to everybody working in this field ... ." (G. Teschl, Monatshefte für Mathematik, Vol. 156 (4), April, 2009), From the reviews of the second edition: "This monograph is a second edition comprising a thorough revision and an expansion of the first one ... . Thus, the reader is exposed to the practice of examining both concrete applications ... and theory. ... comprehensive content is extremely well written. ... The presentation is self-contained, thus offering a high level and convenient exposition to those who wish to study the subject matter as a whole. ... The text introduces particular notations which are not too common in the literature." (Zvi Artstein, Mathematical Reviews, Issue 2008 h) "The new book will be an ideal place to learn about averaging, including what's new in the last quarter century ... . Overall, the authors are to be commended for writing this timely and important piece of scholarship, which should teach many about their topic and related analysis." (Robert E. O' Malley, Jr., Siam Review, Vol. 51 (1), 2009) "This monograph is a revised and expanded second edition of the original text from 1985 by the first two authors. This first edition has since then become one of the standard references for the modern theory of averaging and singular perturbations of ordinary differential equations. Without doubt the second edition will continue this legacy. ... The book is well-written with full proves and a wealth of enlightening examples. It can only be warmly recommended to everybody working in this field ... ." (G. Teschl, Monatshefte fr Mathematik, Vol. 156 (4), April, 2009)
Table of Content
Basic Material and Asymptotics.- Averaging: the Periodic Case.- Methodology of Averaging.- Averaging: the General Case.- Attraction.- Periodic Averaging and Hyperbolicity.- Averaging over Angles.- Passage Through Resonance.- From Averaging to Normal Forms.- Hamiltonian Normal Form Theory.- Classical (First-Level) Normal Form Theory.- Nilpotent (Classical) Normal Form.- Higher-Level Normal Form Theory.- The History of the Theory of Averaging.- A 4-Dimensional Example of Hopf Bifurcation.- Invariant Manifolds by Averaging.- Some Elementary Exercises in Celestial Mechanics.- On Averaging Methods for Partial Differential Equations.
Copyright Date
2007
Topic
Differential Equations / General, Mechanics / Dynamics, Linear & Nonlinear Programming, System Theory, Mathematical Analysis
Dewey Decimal
515.355
Intended Audience
Scholarly & Professional
Dewey Edition
22
Illustrated
Yes
Genre
Science, Mathematics
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