Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability

By Jan W Owsiński

Book Overview

Now in paperback, the main theme of this book is the study of geometric properties of general sets and measures in euclidean spaces. Applications of this theory include fractal-type objects such as strange attractors for dynamical systems and those fractals used as models in the sciences. The author provides a firm and unified foundation and develops all the necessary main tools, such as covering theorems, Hausdorff measures and their relations to Riesz capacities and Fourier transforms. The last third of the book is devoted to the Beisovich-Federer theory of rectifiable sets, which form in a sense the largest class of subsets of euclidean space posessing many of the properties of smooth surfaces. These sets have wide application including the higher-dimensional calculus of variations. Their relations to complex analysis and singular integrals are also studied. Essentially self-contained, this book is suitable for graduate students and researchers in mathematics.

• Format: Paperback
• Language: English
• ISBN: 0521655951
• ISBN13: 9780521655958
• Release Date: March 1999
• Publisher: Cambridge University Press
• Length: 356 Pages
• Weight: 1.20 lbs.
• Dimensions: 0.9" x 6.0" x 8.9"

Customer Reviews

The Book's Title fits

Ken's book contains many helpfull hints for the day to day FPGA design. It explains very well the pitfalls you will be trapped by and answers e.g. questions like what is actually is the difference between blocking and non-blocking assignment.

It scratched my itch....

This book fit nicely in the gap I noticed between books on digital design with Verilog that were written from a structured academic standpoint and product specific user manuals and application notes. To learn effective FPGA design from books one would desire to have this book along with the other two; lacking "Real World FPGA Design" one would have to ask colleagues lots of questions and learn the rest the hard way.I am using...

Excellent jump-start book for engineers!

Anyone who understands C/pascal is going to love Ken's book. It's the perfect reference to sit next to your keyboard for a quick hands-on reference! Ken taught me in 1 minute how to create an array of cells in an FPGA simply via the TOC! In another minute I was implementing static-keys into a ROM'd lookup table.It could not have been easier.*Anyone trying to implement algorithms in Verilog should by this book*

"A Fatherly Book For A Beginer"

I was told about this book from my adviser Dr Shaob A Khan. This book is not only remarkable help for the sysnthesis on FPGA, but also a smooth and desciplined guide for the beginers of Verilog. Starting from the very first example of Overheat Alarm system this book keeps the reader in an enviorment where he gradually learns for the best.