From The Reviews: "In The World Of Mathematics, The 's Might Well Be Described As The "decade Of The Fractal" Starting With Benoit Mandelbrot's Remarkable Text The Fractal Geometry Of Nature, There Has Been A Deluge Of books, Articles And Television Programmes About The Beautiful Mathematical Objects, Drawn By Computers Using Recursive Or Iterative Algorithms, Which Mandelbrot Christened Fractals Gerald Edgar's Book Is A Significant Addition To This Deluge Based On A Course Given To Talented High School Students At Ohio [Gerald-A Edgar] Ì Measure, topology, and fractal geometry [couture PDF] read Online Ì University In , It Is, In Fact, An Advanced Undergraduate Textbook About The Mathematics Of Fractal Geometry, Treating Such Topics As Metric Spaces, Measure Theory, Dimension Theory, And Even Some Algebraic Topology However, The Book Also Contains Many Good Illustrations Of Fractals IncludingColor Plates, Together With Logo Programs Which Were Used To Generate ThemHere Then, At Last, Is An Answer To The Question On The Lips Of So Many: 'What Exactly Is A Fractal?' I Do Not Expect Many Of This Book's Readers To Achieve A Mature Understanding Of This Answer To The Question, But Anyone Interested In Finding Out About The Mathematics Of Fractal Geometry Could Not Choose A Better Place To Start Looking" ↠´ Measure, topology, and fractal geometry Á A great book for those who want to study fractal geometry, but need to review measure theory before starting.
A great review of topology and a great introduction to the concept of measure theory.
Once you have read Gerald Edgar's books on fractal geometry, you should be more than ready to handle Fractal Geometry: Mathematical Foundations and Applications by Kenneth Falconer.

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