Title
Fractalbased Methods In Analysis
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The Idea Of Modeling The Behaviour Of Phenomena At Multiple Scales Has Become A Useful Tool In Both Pure And Applied Mathematics. Fractalbased Techniques Lie At The Heart Of This Area, As Fractals Are Inherently Multiscale Objects; They Very Often Describe Nonlinear Phenomena Better Than Traditional Mathematical Models. In Many Cases They Have Been Used For Solving Inverse Problems Arising In Models Described By Systems Of Differential Equations And Dynamical Systems.Fractalbased Methods In Analysis Draws Together, For The First Time In Book Form, Methods And Results From Almost Twenty Years Of Research In This Topic, Including New Viewpoints And Results In Many Of The Chapters. For Each Topic The Theoretical Framework Is Carefully Explained Using Examples And Applications.The Second Chapter On Basic Iterated Function Systems Theory Is Designed To Be Used As The Basis For A Course And Includes Many Exercises. This Chapter, Along With The Three Background Appendices On Topological And Metric Spaces, Measure Theory, And Basic Results From Setvalued Analysis, Make The Book Suitable For Selfstudy Or As A Source Book For A Graduate Course. The Other Chapters Illustrate Many Extensions And Applications Of Fractalbased Methods To Different Areas. This Book Is Intended For Graduate Students And Researchers In Applied Mathematics, Engineering And Social Sciences.Herb Kunze Is A Professor Of Mathematics At The University Of Guelph In Ontario. Davide La Torre Is An Associate Professor Of Mathematics In The Department Of Economics, Management And Quantitative Methods Of The University Of Milan. Franklin Mendivil Is A Professor Of Mathematics At Acadia University In Nova Scotia. Edward Vrscay Is A Professor In The Department Of Applied Mathematics At The University Of Waterloo In Ontario. The Major Focus Of Their Research Is On Fractals And The Applications Of Fractals.
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- Q: What is the main focus of 'Fractal-Based Methods in Analysis'? A: The book focuses on modeling the behavior of phenomena at multiple scales using fractal-based techniques, which are essential for describing nonlinear phenomena in both pure and applied mathematics.
- Q: Who are the authors of this book? A: The book is authored by Herb Kunze, Davide La Torre, Franklin Mendivil, and Edward Vrscay, all of whom are professors with expertise in mathematics and its applications.
- Q: What topics are covered in the book? A: The book covers a range of topics related to fractal-based methods, including iterated function systems theory, applications to differential equations, and various extensions of fractal methods across disciplines.
- Q: Is this book suitable for self-study? A: Yes, the book is designed for self-study, featuring a chapter on basic iterated function systems theory and exercises, along with appendices on relevant mathematical concepts.
- Q: What is the publication date of 'Fractal-Based Methods in Analysis'? A: The book was published on November 17, 2011.
- Q: What is the binding type of this book? A: The book is available in hardcover binding.
- Q: How many pages does the book have? A: The book contains 424 pages.
- Q: What academic level is 'Fractal-Based Methods in Analysis' intended for? A: This book is intended for graduate students and researchers in applied mathematics, engineering, and social sciences.
- Q: Are there exercises included in the book? A: Yes, the second chapter includes many exercises designed to reinforce the theoretical framework presented.
- Q: What edition of the book is available? A: The book is available in its 2012 edition.