euclid the creation of mathematics

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Euclid The Creation Of Mathematics

Author : Benno Artmann
ISBN : 9781461214120
Genre : Mathematics
File Size : 69. 86 MB
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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.

Euclid The Creation Of Mathematics

Author :
ISBN : 0387984232
Genre : Mathematics
File Size : 63. 4 MB
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Written by an authority on the history of Greek mathematics, as well as outstanding geometer, this book on the beginnings of mathematics is clearly written, interesting, and insightful--giving a fresh look at the subject. With the current interest in Euclid, this accessible presentation should interest a wide audience. 116 illus.

Advanced Euclidean Geometry

Author : Roger A. Johnson
ISBN : 9780486154985
Genre : Mathematics
File Size : 34. 18 MB
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This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.

Geometry Euclid And Beyond

Author : Robin Hartshorne
ISBN : 9780387226767
Genre : Mathematics
File Size : 45. 22 MB
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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.

Euclidean Geometry And Transformations

Author : Clayton W. Dodge
ISBN : 9780486138428
Genre : Mathematics
File Size : 69. 25 MB
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This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972 edition.

Elements Of Mathematics

Author : John Stillwell
ISBN : 9781400880560
Genre : Mathematics
File Size : 78. 77 MB
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Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics—but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits. From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics. Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.

Euclid S Elements

Author : Euclid
ISBN : CORNELL:31924096124197
Genre : Mathematics
File Size : 46. 6 MB
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The classic Heath translation, in a completely new layout with plenty of space and generous margins. An affordable but sturdy sewn hardcover student and teacher edition in one volume, with minimal notes and a new index/glossary.

The Elements Of Euclid

Author : Euclid
ISBN : HARVARD:32044020122263
Genre : Geometry
File Size : 28. 42 MB
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Euclid In The Rainforest

Author : Joseph Mazur
ISBN : 9781101664872
Genre : Mathematics
File Size : 41. 85 MB
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Like Douglas Hofstadter’s Gödel, Escher, Bach, and David Berlinski’s A Tour of the Calculus, Euclid in the Rainforest combines the literary with the mathematical to explore logic—the one indispensable tool in man’s quest to understand the world. Underpinning both math and science, it is the foundation of every major advancement in knowledge since the time of the ancient Greeks. Through adventure stories and historical narratives populated with a rich and quirky cast of characters, Mazur artfully reveals the less-than-airtight nature of logic and the muddled relationship between math and the real world. Ultimately, Mazur argues, logical reasoning is not purely robotic. At its most basic level, it is a creative process guided by our intuitions and beliefs about the world.

A Long Way From Euclid

Author : Constance Reid
ISBN : 9780486152028
Genre : Mathematics
File Size : 63. 38 MB
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Lively guide by a prominent historian focuses on the role of Euclid's Elements in subsequent mathematical developments. Elementary algebra and plane geometry are sole prerequisites. 80 drawings. 1963 edition.

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