Topics from One-Dimensional Dynamics: London Mathematical Society Student Texts, cartea 62
Autor Karen M. Brucks, Henk Bruinen Limba Engleză Paperback – 27 iun 2004
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Specificații
ISBN-13: 9780521547666
ISBN-10: 0521547660
Pagini: 312
Dimensiuni: 152 x 229 x 19 mm
Greutate: 0.35 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria London Mathematical Society Student Texts
Locul publicării:New York, United States
ISBN-10: 0521547660
Pagini: 312
Dimensiuni: 152 x 229 x 19 mm
Greutate: 0.35 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria London Mathematical Society Student Texts
Locul publicării:New York, United States
Cuprins
1. Topological roots; 2. Measure theoretic roots; 3. Symbolic and topological dynamics; 4. Beginning measurable dynamics; 5. 2∞ Map; 6. Kneading maps; 7. Some number theory; 8. Circle maps; 9. Topological entropy; 10. Symmetric tent maps; 11. Adding machines and maps; 12. Beta-transformations and maps; 13. Homeomorphic restrictions; 14. Complex quadratic dynamics.
Recenzii
'… particularly useful for students/beginners in the field. Due to an extensive bibliography, it will also serve as a very good reference book.' European Mathematical Society Newsletter
'This book is intended as a text for an advanced undergraduate or beginning graduate students. As well as providing a brief account on the fundamental concepts of analysis and dynamical systems (Chapters 1-4 and 7-8), and a thorough explanation of topological entropy for piece-wise monotone interval maps (Chapter 9, sometimes with original proofs), the book contains substantial parts on unimodal interval maps and one chapter on complex quadratic polynomials. The quality of this exposition is very good: the material is organized so that all proofs are of easily manageable length; motivational comments are helpful, and there are plenty of illustrative examples and exercises.' Zentralblatt MATH
'This book is intended as a text for an advanced undergraduate or beginning graduate students. As well as providing a brief account on the fundamental concepts of analysis and dynamical systems (Chapters 1-4 and 7-8), and a thorough explanation of topological entropy for piece-wise monotone interval maps (Chapter 9, sometimes with original proofs), the book contains substantial parts on unimodal interval maps and one chapter on complex quadratic polynomials. The quality of this exposition is very good: the material is organized so that all proofs are of easily manageable length; motivational comments are helpful, and there are plenty of illustrative examples and exercises.' Zentralblatt MATH
Notă biografică
Descriere
An introduction to one-dimensional dynamics for graduate students with novel connections to other areas of mathematics.