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Greek Mathematical Works, Volume I: Thales to Euclid, 


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Цена: 19760T
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Название:  Greek Mathematical Works, Volume I: Thales to Euclid   (Греческие математические сочинения, том I. от Фалеса до Евклида)
Издательство: Wiley
Классификация:
ISBN: 0674993691
ISBN-13(EAN): 9780674993693
Обложка/Формат: Hardcover
Страницы: 521
Вес: 0.402 кг.
Дата издания: 01.07.1989
Серия: Loeb classical library
Язык: GRC
Размер: 170 x 119 x 30
Читательская аудитория: Postgraduate, research & scholarly
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Поставляется из: Англии
Описание:

The wonderful achievement of Greek mathematics is here illustrated in two volumes of selected mathematical works. Volume I contains: The divisions of mathematics; mathematics in Greek education; calculation; arithmetical notation and operations, including square root and cube root; Pythagorean arithmetic, including properties of numbers; square root of 2; proportion and means; algebraic equations; Proclus; Thales; Pythagorean geometry; Democritus; Hippocrates of Chios; duplicating the cube and squaring the circle; trisecting angles; Theaetetus; Plato; Eudoxus of Cnidus (pyramid, cone, etc.); Aristotle (the infinite, the lever); Euclid.

Volume II (Loeb Classical Library no. 362) contains: Aristarchus (distances of sun and moon); Archimedes (cylinder, sphere, cubic equations; conoids; spheroids; spiral; expression of large numbers; mechanics; hydrostatics); Eratosthenes (measurement of the earth); Apollonius (conic sections and other works); later development of geometry; trigonometry (including Ptolemys table of sines); mensuration: Heron of Alexandria; algebra: Diophantus (determinate and indeterminate equations); the revival of geometry: Pappus.



Greek Mathematical Works, Volume II: Aristarchus to Pappus

Название: Greek Mathematical Works, Volume II: Aristarchus to Pappus
ISBN: 0674993993 ISBN-13(EAN): 9780674993990
Издательство: Wiley
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Цена: 24700 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Greek mathematics from the sixth century BCE to the fourth century CE is represented by the work of, e.g., Pythagoras; Proclus; Thales; Democritus; Hippocrates of Chios; Theaetetus; Plato; Eudoxus of Cnidus; Aristotle; Euclid; Eratosthenes; Apollonius; Ptolemy; Heron of Alexandria; Diophantus; and Pappus.

The Heritage of Thales

Автор: W.S. Anglin; J. Lambek
Название: The Heritage of Thales
ISBN: 1461269067 ISBN-13(EAN): 9781461269069
Издательство: Springer
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Цена: 46790 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The authors` novel approach to some interesting mathematical concepts - not normally taught in other courses - places them in a historical and philosophical setting.

Elements of Mathematics: From Euclid to Godel

Автор: Stillwell John
Название: Elements of Mathematics: From Euclid to Godel
ISBN: 0691178542 ISBN-13(EAN): 9780691178547
Издательство: Wiley
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Цена: 15040 T
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Описание:

An exciting look at the world of elementary mathematics

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.

-- "Mathematical Reviews Clippings"
Robert of Chester`s Redaction of Euclid`s Elements, the so-called Adelard II Version

Автор: H.L. Busard; M. Folkerts
Название: Robert of Chester`s Redaction of Euclid`s Elements, the so-called Adelard II Version
ISBN: 3034896980 ISBN-13(EAN): 9783034896986
Издательство: Springer
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Цена: 104780 T
Наличие на складе: Есть у поставщика Поставка под заказ.

Euclid Vindicated from Every Blemish

Автор: Vincenzo De Risi; Gerolamo Saccheri; Linda Allegri
Название: Euclid Vindicated from Every Blemish
ISBN: 3319377914 ISBN-13(EAN): 9783319377919
Издательство: Springer
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Цена: 66380 T
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Описание: Saccheri`s attempt to prove the Parallel Postulate is today considered the most important breakthrough in geometry in the 18th century, as he was able to develop for hundreds of pages and dozens of theorems a system in geometry that denied the truth of the postulate (in the attempt to find a contradiction).

The Spatial Reformation: Euclid Between Man, Cosmos, and God

Автор: Sauter Michael J.
Название: The Spatial Reformation: Euclid Between Man, Cosmos, and God
ISBN: 0812250664 ISBN-13(EAN): 9780812250664
Издательство: Wiley EDC
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Цена: 72930 T
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In The Spatial Reformation, Michael J. Sauter offers a sweeping history of the way Europeans conceived of three-dimensional space, including the relationship between Earth and the heavens, between 1350 and 1850. He argues that this "spatial reformation" provoked a reorganization of knowledge in the West that was arguably as important as the religious Reformation. Notably, it had its own sacred text, which proved as central and was as ubiquitously embraced: Euclid's Elements. Aside from the Bible, no other work was so frequently reproduced in the early modern era. According to Sauter, its penetration and suffusion throughout European thought and experience call for a deliberate reconsideration not only of what constitutes the intellectual foundation of the early modern era but also of its temporal range.
The Spatial Reformation contends that space is a human construct: that is, it is a concept that arises from the human imagination and gets expressed physically in texts and material objects. Sauter begins his examination by demonstrating how Euclidean geometry, when it was applied fully to the cosmos, estranged God from man, enabling the breakthrough to heliocentrism and, by extension, the discovery of the New World. Subsequent chapters provide detailed analyses of the construction of celestial and terrestrial globes, Albrecht Dürer's engraving Melencolia, the secularization of the natural history of the earth and man, and Hobbes's rejection of Euclid's sense of space and its effect on his political theory. Sauter's exploration culminates in the formation of a new anthropology in the eighteenth century that situated humanity in reference to spaces and places that human eyes had not actually seen. The Spatial Reformation illustrates how these disparate advancements can be viewed as resulting expressly from early modernity's embrace of Euclidean geometry.



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