3 results for "Science"

The Fractal Geometry of Nature

Benoit Mandelbrot
The Essential Guide that Introduced Fractals to the World Explore the wondrously complex repeating shapes of the natural world in The Fractal Geometry of Nature. Written in a style that is accessible to a wide audience, computer scientist, professor, mathematician, economist, and visionary Benoit B Mandelbrot's fascinating work has inspired popular interest in the geometry inherent in the natural world. Unlike the squares, circles, spheres, and cones of fundamental geometry, nature has rough edges and no straight lines or perfect curves. Mandelbrot observed that, even with this roughness, there still exists a kind of symmetry, which he dedicated his work to document and study. This became the basis for his development of a new kind of geometry; indeed, he coined the term "fractal." Mandelbrot spent 35 years with IBM, which allowed him access to the level of computing power that would enable him to manipulate computer-generated images and develop his theory of a geometry found throughout our natural environment. He was among the first to use computer graphics to illustrate and test these kinds of concepts, demonstrating that natural phenomena which appear to be rough or chaotic actually have a certain degree of order and predictability. This definitive overview builds on Mandelbrot's 1977 work, Fractals: Form, Chance and Dimension (also published by Echo Point Books), revealing an in depth look at this still-emerging field. Richly illustrated and presented in an engaging manner which embraces geometric and visual dimensions interspersed with aspects of theory, this book will inspire curiosity and wonder in artists, mathematicians and naturalists alike. This book is also available from Echo Point Books in hardcover (ISBN 1648370403). Be sure to check out Benoit Mandelbrot's other definitive work, also availabe from Echo Point books: Fractals: Form, Chance and Dimension (use the web address https: //www.amazon.com/dp/1635619025/).
Echo Point Books & Media, LLC. 2021-07-16 500 pages

Handbook of logic in computer science

S. Abramsky
The Handbook of Logic in Computer Science is a multi-volume work covering all major areas of application of logic to theoretical computer science. The Handbook comprises six volumes. Each volume contains five or six chapters, giving an in-depth overview of one of the major topics in the field. It is the result of many years of co-operative effort by some of the most eminent frontline researchers in the area. It will no doubt be the standard reference work in logic and theoretical computer science for years to come - essential reading for all those interested in theoretical computer science and logic. volumes cover the background to the subject in terms of mathematical and computational structures. The authors are chosen on an international basis and are leaders in the fields covered. The Handbook is a closely coordinated work which has been under development for the past five years.
Clarendon 1992-12-10 827 pages

Metric Methods in Finsler Spaces and in the Foundations of Geometry

Herbert Busemann
A classic treatment of metric methods of Finsler spaces from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
Princeton University Press 1942 243 pages