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In the 50 years since Mandelbrot identified the fractality of coastlines, mathematicians and physicists have developed a rich and beautiful theory describing the interplay between analytic, geometric …

This book presents two natural generalizations of continuous mappings, namely usco and quasicontinuous mappings. The first class considers set-valued mappings, the second class relaxes the definition …

The Sumerians were not the only ones to create remarkably accurate standards of measurement in the Ancient world. Some would travel to the ends of the Earth, some would be with us still today. Roland …

This book shows you the progress of mathematics and its uses over time.  Readers will clearly see how business, engineering, economics, physics, and other fields contributed to the development o …

An in-depth description of the state-of-the-art of 3D shape analysis techniques and their applications This book discusses the different topics that come under the title of ‘3D shape analysis’. It co …

The idea for this book came to the author when he was talking with some men and women who had been looking at and thinking about how to better understand some of today’s problems. They said they woul …

Features the classical themes of geometry with plentiful applications in mathematics, education, engineering, and science Accessible and reader-friendly, Classical Geometry: Euclidean, Transformation …

A NEW YORK TIMES NOTABLE BOOK The Babylonians invented it, the Greeks banned it, the Hindus worshipped it, and the Christian Church used it to fend off heretics. Today it’s a timebomb ticking in the …

The Golden Ratio examines the presence of this divine number in art and architecture throughout history, as well as its ubiquity among plants, animals, and even the cosmos. This gorgeous bo …

The celebrated mathematician and philosopher Pythagoras left no writings. But what if he had and the manuscript was never found? Where would it be located? And what information would it reveal? These …