Mathematics in Civilization

Mathematics in Civilization
Author: H. L. Resnikoff
Publisher: Ardent Media
Total Pages: 402
Release: 1973
Genre: Mathematics
ISBN: 9780030850356

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How mathematics shaped and was shaped by human events. Trigonometry, navigation, cartography, algebra, calculus and related disciplines from ancient Greece through the twentieth century. Bibliography. 203 figures. 7 tables. 14 photos.

The Art of More

The Art of More
Author: Michael Brooks
Publisher: Pantheon
Total Pages: 337
Release: 2022-01-18
Genre: Mathematics
ISBN: 1524748994

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An illuminating, millennia-spanning history of the impact mathematics has had on the world, and the fascinating people who have mastered its inherent power Counting is not innate to our nature, and without education humans can rarely count past three — beyond that, it’s just “more.” But once harnessed by our ancestors, the power of numbers allowed humanity to flourish in ways that continue to lead to discoveries and enrich our lives today. Ancient tax collectors used basic numeracy to fuel the growth of early civilization, navigators used clever geometrical tricks to engage in trade and connect people across vast distances, astronomers used logarithms to unlock the secrets of the heavens, and their descendants put them to use to land us on the moon. In every case, mathematics has proved to be a greatly underappreciated engine of human progress. In this captivating, sweeping history, Michael Brooks acts as our guide through the ages. He makes the case that mathematics was one of the foundational innovations that catapulted humanity from a nomadic existence to civilization, and that it has since then been instrumental in every great leap of humankind. Here are ancient Egyptian priests, Babylonian bureaucrats, medieval architects, dueling Swiss brothers, renaissance painters, and an eccentric professor who invented the infrastructure of the online world. Their stories clearly demonstrate that the invention of mathematics was every bit as important to the human species as was the discovery of fire. From first page to last, The Art of More brings mathematics back into the heart of what it means to be human.

Mathematics in Western Culture

Mathematics in Western Culture
Author: Morris Kline
Publisher: Oxford University Press
Total Pages: 512
Release: 1964-12-31
Genre: Mathematics
ISBN: 0190281138

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This book gives a remarkably fine account of the influences mathematics has exerted on the development of philosophy, the physical sciences, religion, and the arts in Western life.

The Art of More

The Art of More
Author: Michael Brooks
Publisher:
Total Pages: 336
Release: 2021-08-31
Genre:
ISBN: 9781925849875

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Mathematics in Civilization, Third Edition

Mathematics in Civilization, Third Edition
Author: Howard L. Resnikoff
Publisher: Courier Dover Publications
Total Pages: 465
Release: 2015-03-18
Genre: Mathematics
ISBN: 0486789225

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Originally published: New York: Holt, Rinehart and Winston, 1973. Enlarged and corrected edition published: New York: Dover Publications, 1984.

Practical Mathematics

Practical Mathematics
Author: Edward L. Bates
Publisher:
Total Pages: 538
Release: 1912
Genre: Mathematics
ISBN:

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Mathematics in Civilization, Third Edition

Mathematics in Civilization, Third Edition
Author: Howard L. Resnikoff
Publisher: Courier Dover Publications
Total Pages: 465
Release: 2015-05-05
Genre: Mathematics
ISBN: 0486804496

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Space flight, computers, lasers, and information technology ― these are but a few examples of the spectacular growth, development, and far-reaching applications of mathematics. But what of the field's past? Upon which intellectual milestones were the foundations of modern mathematics constructed? How has our comprehension of the physical universe, language, and the nature of thought itself been influenced and informed by the developments of mathematics through the ages? This lucid presentation examines how mathematics shaped and was shaped by the course of human events. In a format suited to college-level studies as well as popular reading, the book explores trigonometry, navigation, cartography, logarithms, algebra, and calculus through ancient, medieval, post-Renaissance, and modern times. Solutions to problems appear at the end of each chapter, and this edition has been newly expanded to include a supplement on events in mathematics since the 1985 publication of the first Dover edition. Acclaimed by Telegraphic Reviews as "an exceptionally good liberal arts math text," this highly readable treatment makes a technical subject vividly fascinating.

Mathematics of Finance

Mathematics of Finance
Author: Henry Lewis Rietz
Publisher:
Total Pages: 304
Release: 1921
Genre: Business
ISBN:

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Imagined Civilizations

Imagined Civilizations
Author: Roger Hart
Publisher: JHU Press
Total Pages: 385
Release: 2013-08-15
Genre: Mathematics
ISBN: 1421407124

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Roger Hart debunks the long-held belief that linear algebra developed independently in the West. Accounts of the seventeenth-century Jesuit Mission to China have often celebrated it as the great encounter of two civilizations. The Jesuits portrayed themselves as wise men from the West who used mathematics and science in service of their mission. Chinese literati-official Xu Guangqi (1562–1633), who collaborated with the Italian Jesuit Matteo Ricci (1552–1610) to translate Euclid’s Elements into Chinese, reportedly recognized the superiority of Western mathematics and science and converted to Christianity. Most narratives relegate Xu and the Chinese to subsidiary roles as the Jesuits' translators, followers, and converts. Imagined Civilizations tells the story from the Chinese point of view. Using Chinese primary sources, Roger Hart focuses in particular on Xu, who was in a position of considerable power over Ricci. The result is a perspective startlingly different from that found in previous studies. Hart analyzes Chinese mathematical treatises of the period, revealing that Xu and his collaborators could not have believed their declaration of the superiority of Western mathematics. Imagined Civilizations explains how Xu’s West served as a crucial resource. While the Jesuits claimed Xu as a convert, he presented the Jesuits as men from afar who had traveled from the West to China to serve the emperor.

Geometry and Algebra in Ancient Civilizations

Geometry and Algebra in Ancient Civilizations
Author: Bartel L. van der Waerden
Publisher: Springer Science & Business Media
Total Pages: 236
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642617794

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Originally, my intention was to write a "History of Algebra", in two or three volumes. In preparing the first volume I saw that in ancient civiliza tions geometry and algebra cannot well be separated: more and more sec tions on ancient geometry were added. Hence the new title of the book: "Geometry and Algebra in Ancient Civilizations". A subsequent volume on the history of modem algebra is in preparation. It will deal mainly with field theory, Galois theory and theory of groups. I want to express my deeply felt gratitude to all those who helped me in shaping this volume. In particular, I want to thank Donald Blackmore Wagner (Berkeley) who put at my disposal his English translation of the most interesting parts of the Chinese "Nine Chapters of the Art of Arith metic" and of Liu Hui's commentary to this classic, and also Jacques Se siano (Geneva), who kindly allowed me to use his translation of the re cently discovered Arabic text of four books of Diophantos not extant in Greek. Warm thanks are also due to Wyllis Bandler (Colchester, England) who read my English text very carefully and suggested several improve ments, and to Annemarie Fellmann (Frankfurt) and Erwin Neuenschwan der (Zurich) who helped me in correcting the proof sheets. Miss Fellmann also typed the manuscript and drew the figures. I also want to thank the editorial staff and production department of Springer-Verlag for their nice cooperation.