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| Hardcover ISBN: | 978-1-4704-0937-1 |
| Product Code: | CWORKS/19.7 |
| List Price: | $175.00 |
| MAA Member Price: | $157.50 |
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| eBook ISBN: | 978-1-4704-1715-4 |
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| List Price: | $159.00 |
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Book DetailsCollected WorksVolume: 19; 2014; 592 ppMSC: Primary 37; 32; 30; 14
This volume is the seventh in the series “Collected Papers of John Milnor.” Together with the preceding Volume VI, it contains all of Milnor's papers in dynamics, through the year 2012. Most of the papers are in holomorphic dynamics; however, there are two in real dynamics and one on cellular automata. Two of the papers are published here for the first time.
The papers in this volume provide important and fundamental material in real and complex dynamical systems. Many have become classics, and have inspired further research in the field. Some of the questions addressed here continue to be important in current research. In some cases, there have been minor corrections or clarifications, as well as references to more recent work which answers questions raised by the author. The volume also includes an index to facilitate searching the book for specific topics.
ReadershipGraduate students and research mathematicians interested in complex dynamical systems.
This item is also available as part of a set: -
Table of Contents
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Cover
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Frontispiece
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Title page
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Copyright page
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Contents
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Preface
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Dedicated to Adrien Douady (1935-2006)
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Acknowledgments
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Addendum: Updated References
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Introduction
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Notes on surjective cellular automaton-maps (Unpublished manuscript of 1984)
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Tsujii’s monotonicity proof for real quadratic maps (Unpublished manuscript of 2000)
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Local connectivity of julia sets: Expository lectures
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On rational maps with two critical points
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Periodic orbits, external rays and the Mandelbrot set: An expository account
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Pasting together Julia sets–A worked out example of mating
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On Lattés maps
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Elliptic curves as attractors in ℙ², Part 1: Dynamics
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Schwarzian derivatives and cylinder maps
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Cubic polynomial maps with periodic critical orbit, part I
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Cubic polynomial maps with periodic critical orbit, part II: Escape regions
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Errata to “Cubic polynomial maps with periodic critical orbit, Part II: Escape regions”
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Hyperbolic components with an appendix by A. Poirier
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Index
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Back Cover
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-
Additional Material
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Reviews
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This is a remarkable collection of contributions, which has been carefully and thoroughly edited and updated, with much mathematics of great importance. I hope it finds its home not in the dustier parts of libraries with bound volumes of collected works that simply comprise collated papers but in the shelves and on the desks of active researchers interested in dynamics, where it belongs.
Thomas B. Ward, Zentralblatt MATH
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
This volume is the seventh in the series “Collected Papers of John Milnor.” Together with the preceding Volume VI, it contains all of Milnor's papers in dynamics, through the year 2012. Most of the papers are in holomorphic dynamics; however, there are two in real dynamics and one on cellular automata. Two of the papers are published here for the first time.
The papers in this volume provide important and fundamental material in real and complex dynamical systems. Many have become classics, and have inspired further research in the field. Some of the questions addressed here continue to be important in current research. In some cases, there have been minor corrections or clarifications, as well as references to more recent work which answers questions raised by the author. The volume also includes an index to facilitate searching the book for specific topics.
Graduate students and research mathematicians interested in complex dynamical systems.
-
Cover
-
Frontispiece
-
Title page
-
Copyright page
-
Contents
-
Preface
-
Dedicated to Adrien Douady (1935-2006)
-
Acknowledgments
-
Addendum: Updated References
-
Introduction
-
Notes on surjective cellular automaton-maps (Unpublished manuscript of 1984)
-
Tsujii’s monotonicity proof for real quadratic maps (Unpublished manuscript of 2000)
-
Local connectivity of julia sets: Expository lectures
-
On rational maps with two critical points
-
Periodic orbits, external rays and the Mandelbrot set: An expository account
-
Pasting together Julia sets–A worked out example of mating
-
On Lattés maps
-
Elliptic curves as attractors in ℙ², Part 1: Dynamics
-
Schwarzian derivatives and cylinder maps
-
Cubic polynomial maps with periodic critical orbit, part I
-
Cubic polynomial maps with periodic critical orbit, part II: Escape regions
-
Errata to “Cubic polynomial maps with periodic critical orbit, Part II: Escape regions”
-
Hyperbolic components with an appendix by A. Poirier
-
Index
-
Back Cover
-
This is a remarkable collection of contributions, which has been carefully and thoroughly edited and updated, with much mathematics of great importance. I hope it finds its home not in the dustier parts of libraries with bound volumes of collected works that simply comprise collated papers but in the shelves and on the desks of active researchers interested in dynamics, where it belongs.
Thomas B. Ward, Zentralblatt MATH
