Euclid's Elements

Euclid's Elements
Author: Euclid
Publisher:
Total Pages: 544
Release: 2002
Genre: Mathematics
ISBN:

"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.

Encounters with Euclid

Encounters with Euclid
Author: Benjamin Wardhaugh
Publisher: Princeton University Press
Total Pages: 416
Release: 2023-11-14
Genre: Mathematics
ISBN: 0691235767

A sweeping cultural history of one of the most influential mathematical books ever written Euclid's Elements of Geometry is one of the fountainheads of mathematics—and of culture. Written around 300 BCE, it has traveled widely across the centuries, generating countless new ideas and inspiring such figures as Isaac Newton, Bertrand Russell, Abraham Lincoln, and Albert Einstein. Encounters with Euclid tells the story of this incomparable mathematical masterpiece, taking readers from its origins in the ancient world to its continuing influence today. In this lively and informative book, Benjamin Wardhaugh explains how Euclid’s text journeyed from antiquity to the Renaissance, introducing some of the many readers, copyists, and editors who left their mark on the Elements before handing it on. He shows how some read the book as a work of philosophy, while others viewed it as a practical guide to life. He examines the many different contexts in which Euclid's book and his geometry were put to use, from the Neoplatonic school at Athens and the artisans' studios of medieval Baghdad to the Jesuit mission in China and the workshops of Restoration London. Wardhaugh shows how the Elements inspired ideas in theology, art, and music, and how the book has acquired new relevance to the strange geometries of dark matter and curved space. Encounters with Euclid traces the life and afterlives of one of the most remarkable works of mathematics ever written, revealing its lasting role in the timeless search for order and reason in an unruly world.

Euclid—The Creation of Mathematics

Euclid—The Creation of Mathematics
Author: Benno Artmann
Publisher: Springer Science & Business Media
Total Pages: 352
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461214122

Euclid presents the essential of mathematics in a manner which has set a high standard for more than 2000 years. This book, an explanation of the nature of mathematics from its most important early source, is for all lovers of mathematics with a solid background in high school geometry, whether they be students or university professors.

The Wonder Book of Geometry

The Wonder Book of Geometry
Author: David Acheson
Publisher: Oxford University Press
Total Pages: 240
Release: 2020-10-22
Genre: Mathematics
ISBN: 0192585371

How can we be sure that Pythagoras's theorem is really true? Why is the 'angle in a semicircle' always 90 degrees? And how can tangents help determine the speed of a bullet? David Acheson takes the reader on a highly illustrated tour through the history of geometry, from ancient Greece to the present day. He emphasizes throughout elegant deduction and practical applications, and argues that geometry can offer the quickest route to the whole spirit of mathematics at its best. Along the way, we encounter the quirky and the unexpected, meet the great personalities involved, and uncover some of the loveliest surprises in mathematics.

Euclid

Euclid
Author: Josette Campbell
Publisher: The Rosen Publishing Group, Inc
Total Pages: 114
Release: 2015-07-15
Genre: Juvenile Nonfiction
ISBN: 1499461283

Euclid, a Greek mathematician, flourished around 300 BCE. It was he who shaped geometry into what it is today. As a result, he became known as the father of geometry. Euclid founded his own school in Alexandria, Egypt, and gained a reputation as an exceptional geometry teacher. The Elements, his thirteen-volume treatise on mathematics and geometry, was considered to be one of the most influential mathematical works in history. Readers consider some of the definitions and postulates from this great work. They also learn about ancient Greek civilization and the renowned Greek mathematicians and philosophers who influenced Euclid's thinking.

Geometry: Euclid and Beyond

Geometry: Euclid and Beyond
Author: Robin Hartshorne
Publisher: Springer Science & Business Media
Total Pages: 535
Release: 2013-11-11
Genre: Mathematics
ISBN: 0387226761

This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.

The Scramble for the Amazon and the "Lost Paradise" of Euclides da Cunha

The Scramble for the Amazon and the
Author: Susanna B. Hecht
Publisher: University of Chicago Press
Total Pages: 629
Release: 2013-05-09
Genre: History
ISBN: 0226322815

The fortunes of the late nineteenth century’s imperial and industrial powers depended on a single raw material—rubber—with only one source: the Amazon basin. And so began the scramble for the Amazon—a decades-long conflict that found Britain, France, Belgium, and the United States fighting with and against the new nations of Peru, Bolivia, and Brazil for the forest’s riches. In the midst of this struggle, Euclides da Cunha, engineer, journalist, geographer, political theorist, and one of Brazil’s most celebrated writers, led a survey expedition to the farthest reaches of the river, among the world’s most valuable, dangerous, and little-known landscapes. The Scramble for the Amazon tells the story of da Cunha’s terrifying journey, the unfinished novel born from it, and the global strife that formed the backdrop for both. Haunted by his broken marriage, da Cunha trekked through a beautiful region thrown into chaos by guerrilla warfare, starving migrants, and native slavery. All the while, he worked on his masterpiece, a nationalist synthesis of geography, philosophy, biology, and journalism he named the Lost Paradise. Da Cunha intended his epic to unveil the Amazon’s explorers, spies, natives, and brutal geopolitics, but, as Susanna B. Hecht recounts, he never completed it—his wife’s lover shot him dead upon his return. At once the biography of an extraordinary writer, a masterly chronicle of the social, political, and environmental history of the Amazon, and a superb translation of the remaining pieces of da Cunha’s project, The Scramble for the Amazon is a work of thrilling intellectual ambition.

The Amazon

The Amazon
Author: Euclides da Cunha
Publisher: Oxford University Press
Total Pages: 136
Release: 2006-11-06
Genre: History
ISBN: 0199938954

In the eight pieces that make up Land Without History, first published in Portuguese in 1909, Euclides da Cunha offers a rare look into twentieth century Amazonia, and the consolidation of South American nation states. Mixing scientific jargon and poetic language, the essays in Land Without History provide breathtaking descriptions of the Amazonian rivers and the ever-changing nature that surrounds them. Brilliantly translated by Ronald Sousa, Land Without History offers a view of the ever changing ecology of the Amazon, and a compelling testimony to the Brazilian colonial enterprise, and its imperialist tendencies with regard to neighboring nation-states.

The Thirteen Books of Euclid's Elements

The Thirteen Books of Euclid's Elements
Author: Euclid
Publisher: Createspace Independent Publishing Platform
Total Pages: 448
Release: 2017-04-30
Genre:
ISBN: 9781546376675

Euclid's Elements is a mathematical and geometric treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt circa 300 BC. It is a collection of definitions, postulates (axioms), propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover Euclidean geometry and the ancient Greek version of elementary number theory. The work also includes an algebraic system that has become known as geometric algebra, which is powerful enough to solve many algebraic problems, including the problem of finding the square root of a number. Elements is the second-oldest extant Greek mathematical treatise after Autolycus' On the Moving Sphere, and it is the oldest extant axiomatic deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science. According to Proclus, the term "element" was used to describe a theorem that is all-pervading and helps furnishing proofs of many other theorems. The word 'element' in the Greek language is the same as 'letter'. This suggests that theorems in the Elements should be seen as standing in the same relation to geometry as letters to language. Later commentators give a slightly different meaning to the term element, emphasizing how the propositions have progressed in small steps, and continued to build on previous propositions in a well-defined order.