Sourcebook In The Mathematics Of Medieval Europe And North Africa

Author : Victor J. Katz
Publisher : Princeton University Press
ISBN 13 : 1400883202
Total Pages : 593 pages
Book Rating : 4.02/5 ( download)

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Download or read book Sourcebook in the Mathematics of Medieval Europe and North Africa written by Victor J. Katz and published by Princeton University Press. This book was released on 2016-10-18 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Medieval Europe was a meeting place for the Christian, Jewish, and Islamic civilizations, and the fertile intellectual exchange of these cultures can be seen in the mathematical developments of the time. This sourcebook presents original Latin, Hebrew, and Arabic sources of medieval mathematics, and shows their cross-cultural influences. Most of the Hebrew and Arabic sources appear here in translation for the first time. Readers will discover key mathematical revelations, foundational texts, and sophisticated writings by Latin, Hebrew, and Arabic-speaking mathematicians, including Abner of Burgos's elegant arguments proving results on the conchoid—a curve previously unknown in medieval Europe; Levi ben Gershon’s use of mathematical induction in combinatorial proofs; Al-Mu’taman Ibn Hūd’s extensive survey of mathematics, which included proofs of Heron’s Theorem and Ceva’s Theorem; and Muhyī al-Dīn al-Maghribī’s interesting proof of Euclid’s parallel postulate. The book includes a general introduction, section introductions, footnotes, and references. The Sourcebook in the Mathematics of Medieval Europe and North Africa will be indispensable to anyone seeking out the important historical sources of premodern mathematics.

Author : Victor J. Katz
Publisher : Princeton University Press
ISBN 13 : 0691202818
Total Pages : 720 pages
Book Rating : 4.15/5 ( download)

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Download or read book Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean written by Victor J. Katz and published by Princeton University Press. This book was released on 2024-09-17 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In recent decades, there has been extensive research on Greek mathematics that has considerably enlarged the scope of this area of inquiry. Traditionally, "Greek mathematics" has referred to the axiomatic work of Archimedes, Apollonius, and others in the first three centuries BCE. However, there is a wide body of mathematical work that appeared in the eastern Mediterranean during the time it was under Greek influence (from approximately 400 BCE to 600 CE), which remains under-explored in the existing scholarship. This sourcebook provides an updated look at Greek mathematics, bringing together classic Greek texts with material from lesser-known authors, as well as newly uncovered texts that have been omitted in previous scholarship. The book adopts a broad scope in defining mathematical practice, and as such, includes fields such as music, optics, and architecture. It includes important sources written in languages other than Greek in the eastern Mediterranean area during the period from 400 BCE to 600 CE, which show some influence from Greek culture. It also includes passages that highlight the important role mathematics played in philosophy, pedagogy, and popular culture. The book is organized topically; chapters include arithmetic, plane geometry, astronomy, and philosophy, literature, and education. Within each chapter, the (translated) texts are organized chronologically. The book weaves together ancient commentary on classic Greek works with the works themselves to show how the understanding of mathematical ideas changed over the centuries"--

Author : Leo Corry
Publisher : Springer Nature
ISBN 13 : 3030796795
Total Pages : 88 pages
Book Rating : 4.92/5 ( download)

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Download or read book Distributivity-like Results in the Medieval Traditions of Euclid's Elements written by Leo Corry and published by Springer Nature. This book was released on 2021-11-19 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a fresh view on an important and largely overlooked aspect of the Euclidean traditions in the medieval mathematical texts, particularly concerning the interrelations between geometry and arithmetic, and the rise of algebraic modes of thought. It appeals to anyone interested in the history of mathematics in general and in history of medieval and early modern science.

Author : Ruth Glasner
Publisher : Springer Nature
ISBN 13 : 3319773038
Total Pages : 293 pages
Book Rating : 4.32/5 ( download)

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Download or read book Alfonso's Rectifying the Curved written by Ruth Glasner and published by Springer Nature. This book was released on 2020-11-26 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers a new English translation, introduction, and detailed commentary on Sefer Meyasher 'Aqov, (The Rectifying of the Curved), a 14th-century Hebrew treatise on the foundation of geometry. The book is a mixture of two genres: philosophical discussion and formal, Euclidean-type geometrical writing. A central issue is the use of motion and superposition in geometry, which is analyzed in depth through dialog with earlier Arab mathematicians. The author, Alfonso, was identified by Gita Gluskina (the editor of the 1983 Russian edition) as Alfonso of Valladolid, the converted Jew Abner of Burgos. Alfonso lived in Castile, rather far from the leading cultural centers of his time, but nonetheless at the crossroad of three cultures. He was raised in the Jewish tradition and like many Sephardic Jewish intellectuals was versed in Greek-Arabic philosophy and science. He also had connections with some Christian nobles and towards the end of his life converted to Christianity. Driven by his ambition to solve the problem of the quadrature of the circle, as well as other open geometrical problems, Alfonso acquired surprisingly wide knowledge and became familiar with several episodes in Greek and Arabic geometry that historians usually consider not to have been known in the West in the fourteenth century. Sefer Meyasher 'Aqov reflects his wide and deep erudition in mathematics and philosophy, and provides new evidence on cultural transmission around the Mediterranean.

Author : Robert Kiely
Publisher : Bloomsbury Publishing USA
ISBN 13 : 1440869340
Total Pages : 365 pages
Book Rating : 4.41/5 ( download)

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Download or read book Numbers written by Robert Kiely and published by Bloomsbury Publishing USA. This book was released on 2022-08-04 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numbers: A Cultural History provides students with a compelling interdisciplinary view of the development of mathematics and its relationship to world cultures over 4,500 years of human history. Mathematics is often referred to as a "universal language," and that is a fitting description. Many cultures have contributed to mathematics in fascinating ways, but despite its "universal" character, mathematics is also a human endeavor. It has played pivotal roles in societies at particular times; and it has influenced, and been influenced by, a wide range of ideas and institutions, from commerce to philosophy. Ancient Egyptian views of mathematics, for example, are tied closely to engineering and agriculture. Some European Renaissance views, on the other hand, relate the study of number to that of the natural world. Numbers, A Cultural History seeks to place the history of mathematics into a broad cultural context. While it treats mathematical material in detail, it also relates that material to other subject matter: science, philosophy, navigation, commerce, religion, art, and architecture. It examines how mathematical thinking grows in specific cultural settings and how it has shaped those settings in turn. It also explores the movement of ideas between cultures and the evolution of modern mathematics and the quantitative, data-driven world in which we live.

Author : Leo Corry
Publisher : OUP Oxford
ISBN 13 : 0191007064
Total Pages : 368 pages
Book Rating : 4.64/5 ( download)

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Download or read book A Brief History of Numbers written by Leo Corry and published by OUP Oxford. This book was released on 2015-08-27 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The world around us is saturated with numbers. They are a fundamental pillar of our modern society, and accepted and used with hardly a second thought. But how did this state of affairs come to be? In this book, Leo Corry tells the story behind the idea of number from the early days of the Pythagoreans, up until the turn of the twentieth century. He presents an overview of how numbers were handled and conceived in classical Greek mathematics, in the mathematics of Islam, in European mathematics of the middle ages and the Renaissance, during the scientific revolution, all the way through to the mathematics of the 18th to the early 20th century. Focusing on both foundational debates and practical use numbers, and showing how the story of numbers is intimately linked to that of the idea of equation, this book provides a valuable insight to numbers for undergraduate students, teachers, engineers, professional mathematicians, and anyone with an interest in the history of mathematics.

Author : Kenneth H. Rosen
Publisher : CRC Press
ISBN 13 : 1584887818
Total Pages : 1612 pages
Book Rating : 4.12/5 ( download)

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Download or read book Handbook of Discrete and Combinatorial Mathematics written by Kenneth H. Rosen and published by CRC Press. This book was released on 2017-10-19 with total page 1612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Discrete and Combinatorial Mathematics provides a comprehensive reference volume for mathematicians, computer scientists, engineers, as well as students and reference librarians. The material is presented so that key information can be located and used quickly and easily. Each chapter includes a glossary. Individual topics are covered in sections and subsections within chapters, each of which is organized into clearly identifiable parts: definitions, facts, and examples. Examples are provided to illustrate some of the key definitions, facts, and algorithms. Some curious and entertaining facts and puzzles are also included. Readers will also find an extensive collection of biographies. This second edition is a major revision. It includes extensive additions and updates. Since the first edition appeared in 1999, many new discoveries have been made and new areas have grown in importance, which are covered in this edition.

Author : Janet L. Beery
Publisher : Springer Nature
ISBN 13 : 3030826589
Total Pages : 1087 pages
Book Rating : 4.81/5 ( download)

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Download or read book Fifty Years of Women in Mathematics written by Janet L. Beery and published by Springer Nature. This book was released on 2022-04-21 with total page 1087 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Association for Women in Mathematics (AWM), the oldest organization in the world for women in mathematics, had its fiftieth anniversary in 2021. This collection of refereed articles, illustrated by color photographs, reflects on women in mathematics and the organization as a whole. Some articles focus on the situation for women in mathematics at various times and places, including other countries. Others describe how individuals have shaped AWM, and, in turn, how the organization has impacted individuals as well as the broader mathematical community. Some are personal stories about careers in mathematics. Fifty Years of Women in Mathematics: Reminiscences, History, and Visions for the Future of AWM covers a span from AWM’s beginnings through the following fifty years. The volume celebrates AWM and its successes but does not shy away from its challenges. The book is designed for a general audience. It provides interesting and informative reading for people interested in mathematics, gender equity, or organizational structures; teachers of mathematics; students at the high school, college, and graduate levels; and members of more recently established organizations for women in mathematics and related fields or prospective founders of such organizations.

Author : Mark Spurrell
Publisher : Routledge
ISBN 13 : 042967807X
Total Pages : 213 pages
Book Rating : 4.73/5 ( download)

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Download or read book The Symbolism of Medieval Churches written by Mark Spurrell and published by Routledge. This book was released on 2019-11-19 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Symbolism of Medieval Churches: An Introduction explores the ways in which the medieval church building and key features of it were used as symbols, particularly to represent different relationships within the Church and the virtues of the Christian life. This book introduces the reader to the definition, form, and use of medieval symbols, and the significance that they held and still hold for some people, exploring the context in which church symbolism developed, and examining the major influences that shaped it. Among the topics discussed are allegory, typology, moral interpretation, and anagogy. Further chapters also consider the work of key figures, including Hugh and Richard of St Victor and Abbot Suger at St-Denis. Finally, the book contrasts the Eastern world with the Western world, taking a look at the late Middle Ages and what happened to church symbolism once Aristotle had ousted Plato from the schools. Entering into the medieval mind and placing church symbolism in its context, The Symbolism of Medieval Churches will be of great interest to upper-level undergraduates, postgraduates, and scholars working on Architectural History, Medieval Art, Church History, and Medieval History more widely.

Author : Theokritos Kouremenos
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110601486
Total Pages : 158 pages
Book Rating : 4.80/5 ( download)

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Download or read book Plato’s forms, mathematics and astronomy written by Theokritos Kouremenos and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-05-22 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plato’s view that mathematics paves the way for his philosophy of forms is well known. This book attempts to flesh out the relationship between mathematics and philosophy as Plato conceived them by proposing that in his view, although it is philosophy that came up with the concept of beings, which he calls forms, and highlighted their importance, first to natural philosophy and then to ethics, the things that do qualify as beings are inchoately revealed by mathematics as the raw materials that must be further processed by philosophy (mathematicians, to use Plato’s simile in the Euthedemus, do not invent the theorems they prove but discover beings and, like hunters who must hand over what they catch to chefs if it is going to turn into something useful, they must hand over their discoveries to philosophers). Even those forms that do not bear names of mathematical objects, such as the famous forms of beauty and goodness, are in fact forms of mathematical objects. The first chapter is an attempt to defend this thesis. The second argues that for Plato philosophy’s crucial task of investigating the exfoliation of the forms into the sensible world, including the sphere of human private and public life, is already foreshadowed in one of its branches, astronomy.