Title
Dynamics In One Dimension (Lecture Notes In Mathematics, 1513)
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The Behaviour Under Iteration Of Unimodal Maps Of An Interval, Such As The Logistic Map, Has Recently Attracted Considerable Attention. It Is Not So Widely Known That A Substantial Theory Has By Now Been Built Up For Arbitrary Continuous Maps Of An Interval. The Purpose Of The Book Is To Give A Clear Account Of This Subject, With Complete Proofs Of Many Strong, General Properties. In A Number Of Cases These Have Previously Been Difficult Of Access. The Analogous Theory For Maps Of A Circle Is Also Surveyed. Although Most Of The Results Were Unknown Thirty Years Ago, The Book Will Be Intelligible To Anyone Who Has Mastered A First Course In Real Analysis. Thus The Book Will Be Of Use Not Only To Students And Researchers, But Will Also Provide Mathematicians Generally With An Understanding Of How Simple Systems Can Exhibit Chaotic Behaviour.
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- Q: What is the main focus of 'Dynamics in One Dimension'? A: The book explores the behavior of unimodal maps of an interval, such as the logistic map, and presents a substantial theory for arbitrary continuous maps of an interval.
- Q: Is this book suitable for beginners in real analysis? A: Yes, the book is designed to be intelligible to anyone who has completed a first course in real analysis, making it accessible to students and researchers.
- Q: How many pages does the book contain? A: The book has a total of 260 pages.
- Q: What is the condition of the book being sold? A: The book is listed as 'New', indicating it is in pristine condition.
- Q: Who is the author of 'Dynamics in One Dimension'? A: The author of the book is Louis S. Block.
- Q: When was 'Dynamics in One Dimension' published? A: The book was published on March 25, 1992.
- Q: What type of binding does the book have? A: The book is available in a paperback binding.
- Q: What category does this book fall under? A: The book is categorized under 'Topology'.
- Q: What unique insights does this book provide? A: The book provides clear accounts and complete proofs of strong, general properties of unimodal maps, which may have been difficult to access previously.
- Q: Does the book cover chaotic behavior in simple systems? A: Yes, the book discusses how simple systems can exhibit chaotic behavior, making it relevant for mathematicians interested in dynamical systems.