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"In this textbook the authors present first-year geometry roughly in the order in which it was discovered. The first five chapters show how the ancient Greeks established geometry, together with its numerous practical applications, while more recent findings on Euclidian geometry are discussed as well. The following three chapters explain the revolution in geometry due to the progress made in the field of algebra by Descartes, Euler and Gauss. Spatial...
Author
Description
The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well received German book "5000 Jahre Geometrie," in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science, and engineering....
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Physicist/writer Mlodinow leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is a new alternative history of math revealing how simple questions anyone might ask about space have been the hidden engine of the highest achievements in science and technology. The journey goes from Pythagoras through Gauss and Einstein and into the midst of a new revolution in...
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Description
"If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by acclaimed math...
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Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. Euclid's Elements is arguably the most influential book in the history of mathematics. Berlinski provides a concise homage to this elusive mathematician and his staggering achievements, and shows that, for centuries, scientists and thinkers have relied on Euclid's axiomatic system, a method of proof still taught in classrooms...
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