Unexpected Links Between Egyptian And Babylonian Mathematics

Author : Joran Friberg
Publisher : World Scientific
Page : 308 pages
File Size : 52,9 Mb
Release : 2005-06-22
Category : Science
ISBN : 9789814480406

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Unexpected Links Between Egyptian And Babylonian Mathematics by Joran Friberg Pdf

Mesopotamian mathematics is known from a great number of cuneiform texts, most of them Old Babylonian, some Late Babylonian or pre-Old-Babylonian, and has been intensively studied during the last couple of decades. In contrast to this Egyptian mathematics is known from only a small number of papyrus texts, and the few books and papers that have been written about Egyptian mathematical papyri have mostly reiterated the same old presentations and interpretations of the texts.In this book, it is shown that the methods developed by the author for the close study of mathematical cuneiform texts can also be successfully applied to all kinds of Egyptian mathematical texts, hieratic, demotic, or Greek-Egyptian. At the same time, comparisons of a large number of individual Egyptian mathematical exercises with Babylonian parallels yield many new insights into the nature of Egyptian mathematics and show that Egyptian and Babylonian mathematics display greater similarities than expected.

Author : J”ran Friberg
Publisher : World Scientific
Page : 308 pages
File Size : 51,5 Mb
Release : 2005
Category : Mathematics
ISBN : 9789812701121

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Unexpected Links Between Egyptian and Babylonian Mathematics by J”ran Friberg Pdf

Mesopotamian mathematics is known from a great number of cuneiform texts, most of them Old Babylonian, some Late Babylonian or pre-Old-Babylonian, and has been intensively studied during the last couple of decades. In contrast to this Egyptian mathematics is known from only a small number of papyrus texts, and the few books and papers that have been written about Egyptian mathematical papyri have mostly reiterated the same old presentations and interpretations of the texts. In this book, it is shown that the methods developed by the author for the close study of mathematical cuneiform texts can also be successfully applied to all kinds of Egyptian mathematical texts, hieratic, demotic, or Greek-Egyptian. At the same time, comparisons of a large number of individual Egyptian mathematical exercises with Babylonian parallels yield many new insights into the nature of Egyptian mathematics and show that Egyptian and Babylonian mathematics display greater similarities than expected.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 47,6 Mb
Release : 2024-07-02
Category : Electronic
ISBN : 9789814476300

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Amazing Traces of a Babylonian Origin in Greek Mathematics by Anonim Pdf

Author : J”ran Friberg
Publisher : World Scientific
Page : 497 pages
File Size : 43,5 Mb
Release : 2007
Category : Science
ISBN : 9789812704528

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Amazing Traces of a Babylonian Origin in Greek Mathematics by J”ran Friberg Pdf

The sequel to Unexpected Links Between Egyptian and Babylonian Mathematics (World Scientific, 2005), this book is based on the author's intensive and ground breaking studies of the long history of Mesopotamian mathematics, from the late 4th to the late 1st millennium BC. It is argued in the book that several of the most famous Greek mathematicians appear to have been familiar with various aspects of Babylonian “metric algebra,” a convenient name for an elaborate combination of geometry, metrology, and quadratic equations that is known from both Babylonian and pre-Babylonian mathematical clay tablets. The book's use of “metric algebra diagrams” in the Babylonian style, where the side lengths and areas of geometric figures are explicitly indicated, instead of wholly abstract “lettered diagrams” in the Greek style, is essential for an improved understanding of many interesting propositions and constructions in Greek mathematical works. The author's comparisons with Babylonian mathematics also lead to new answers to some important open questions in the history of Greek mathematics.

Author : Jöran Friberg
Publisher : Springer Science & Business Media
Page : 544 pages
File Size : 48,7 Mb
Release : 2007-10-01
Category : Mathematics
ISBN : 9780387489773

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A Remarkable Collection of Babylonian Mathematical Texts by Jöran Friberg Pdf

The book analyzes the mathematical tablets from the private collection of Martin Schoyen. It includes analyses of tablets which have never been studied before. This provides new insight into Babylonian understanding of sophisticated mathematical objects. The book is carefully written and organized. The tablets are classified according to mathematical content and purpose, while drawings and pictures are provided for the most interesting tablets.

Author : David Reimer
Publisher : Princeton University Press
Page : 254 pages
File Size : 44,7 Mb
Release : 2014-05-11
Category : Mathematics
ISBN : 9781400851416

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Count Like an Egyptian by David Reimer Pdf

A lively collection of fun and challenging problems in ancient Egyptian math The mathematics of ancient Egypt was fundamentally different from our math today. Contrary to what people might think, it wasn't a primitive forerunner of modern mathematics. In fact, it can’t be understood using our current computational methods. Count Like an Egyptian provides a fun, hands-on introduction to the intuitive and often-surprising art of ancient Egyptian math. David Reimer guides you step-by-step through addition, subtraction, multiplication, and more. He even shows you how fractions and decimals may have been calculated—they technically didn’t exist in the land of the pharaohs. You’ll be counting like an Egyptian in no time, and along the way you’ll learn firsthand how mathematics is an expression of the culture that uses it, and why there’s more to math than rote memorization and bewildering abstraction. Reimer takes you on a lively and entertaining tour of the ancient Egyptian world, providing rich historical details and amusing anecdotes as he presents a host of mathematical problems drawn from different eras of the Egyptian past. Each of these problems is like a tantalizing puzzle, often with a beautiful and elegant solution. As you solve them, you’ll be immersed in many facets of Egyptian life, from hieroglyphs and pyramid building to agriculture, religion, and even bread baking and beer brewing. Fully illustrated in color throughout, Count Like an Egyptian also teaches you some Babylonian computation—the precursor to our modern system—and compares ancient Egyptian mathematics to today’s math, letting you decide for yourself which is better.

Author : Jöran Friberg,Farouk N.H. Al-Rawi
Publisher : Springer
Page : 553 pages
File Size : 48,7 Mb
Release : 2017-02-13
Category : Mathematics
ISBN : 9783319445977

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New Mathematical Cuneiform Texts by Jöran Friberg,Farouk N.H. Al-Rawi Pdf

This monograph presents in great detail a large number of both unpublished and previously published Babylonian mathematical texts in the cuneiform script. It is a continuation of the work A Remarkable Collection of Babylonian Mathematical Texts (Springer 2007) written by Jöran Friberg, the leading expert on Babylonian mathematics. Focussing on the big picture, Friberg explores in this book several Late Babylonian arithmetical and metro-mathematical table texts from the sites of Babylon, Uruk and Sippar, collections of mathematical exercises from four Old Babylonian sites, as well as a new text from Early Dynastic/Early Sargonic Umma, which is the oldest known collection of mathematical exercises. A table of reciprocals from the end of the third millennium BC, differing radically from well-documented but younger tables of reciprocals from the Neo-Sumerian and Old-Babylonian periods, as well as a fragment of a Neo-Sumerian clay tablet showing a new type of a labyrinth are also discussed. The material is presented in the form of photos, hand copies, transliterations and translations, accompanied by exhaustive explanations. The previously unpublished mathematical cuneiform texts presented in this book were discovered by Farouk Al-Rawi, who also made numerous beautiful hand copies of most of the clay tablets. Historians of mathematics and the Mesopotamian civilization, linguists and those interested in ancient labyrinths will find New Mathematical Cuneiform Texts particularly valuable. The book contains many texts of previously unknown types and material that is not available elsewhere.

Author : George Gheverghese Joseph
Publisher : Princeton University Press
Page : 592 pages
File Size : 49,9 Mb
Release : 2010-10-04
Category : Science
ISBN : 9781400836369

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The Crest of the Peacock by George Gheverghese Joseph Pdf

From the Ishango Bone of central Africa and the Inca quipu of South America to the dawn of modern mathematics, The Crest of the Peacock makes it clear that human beings everywhere have been capable of advanced and innovative mathematical thinking. George Gheverghese Joseph takes us on a breathtaking multicultural tour of the roots and shoots of non-European mathematics. He shows us the deep influence that the Egyptians and Babylonians had on the Greeks, the Arabs' major creative contributions, and the astounding range of successes of the great civilizations of India and China. The third edition emphasizes the dialogue between civilizations, and further explores how mathematical ideas were transmitted from East to West. The book's scope is now even wider, incorporating recent findings on the history of mathematics in China, India, and early Islamic civilizations as well as Egypt and Mesopotamia. With more detailed coverage of proto-mathematics and the origins of trigonometry and infinity in the East, The Crest of the Peacock further illuminates the global history of mathematics.

Author : George Gheverghese Joseph
Publisher : World Scientific
Page : 512 pages
File Size : 46,9 Mb
Release : 2016-07-28
Category : Mathematics
ISBN : 9781786340634

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Indian Mathematics by George Gheverghese Joseph Pdf

Indian Mathematics gives a unique insight into the history of mathematics within a historical global context. It builds on research into the connection between mathematics and the world-wide advancement of economics and technology. Joseph draws out parallel developments in other cultures and carefully examines the transmission of mathematical ideas across geographical and cultural borders. Accessible to those who have an interest in the global history of mathematical ideas, for the historians, philosophers and sociologists of mathematics, it is a book not to be missed.

Author : Paulus Gerdes
Publisher : Lulu.com
Page : 432 pages
File Size : 41,9 Mb
Release : 2007
Category : History
ISBN : 9781430315377

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Mathematics in African History and Cultures by Paulus Gerdes Pdf

This volume constitutes an updated version of the bibliography published in 2004 by the African Mathematical Union. The African Studies Association attributed the original edition a 'ÂÂspecial mention'ÂÂ in the 2006 Conover-Porter Award competition. The book contains over 1600 bibliographic entries. The appendices contain additional bibliographic information on (1) mathematicians of the Diaspora, (2) publications by Africans on the history of mathematics outside Africa, (3) time-reckoning and astronomy in African history and cultures, (4) string figures in Africa, (5) examples of books published by African mathematicians, (6) board games in Africa, (7) research inspired by geometric aspects of the 'ÂÂsona'ÂÂ tradition. The book concludes with several indices (subject, country, region, author, ethnographic and linguistic, journal, mathematicians). Professor Jan Persens of the University of the Western Cape (South Africa) and president of the African Mathematical Union (2000-2004) wrote the preface.

Author : Paulus Gerdes,Ahmed Djebbar
Publisher : Lulu.com
Page : 450 pages
File Size : 45,9 Mb
Release : 2011
Category : Mathematics
ISBN : 9781105141003

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History of Mathematics in Africa: 2000-2011 by Paulus Gerdes,Ahmed Djebbar Pdf

Author : Peter S. Rudman
Publisher : Prometheus Books
Page : 248 pages
File Size : 41,6 Mb
Release : 2010-01-26
Category : Mathematics
ISBN : 9781615929337

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The Babylonian Theorem by Peter S. Rudman Pdf

Rudman explores the facisnating history of mathematics among the Babylonians and Egyptians. He formulates a Babylonian Theorem, which he shows was used to derive the Pythagorean Theorem about a millennium before its purported discovery by Pythagoras.

Author : Peter Strom Rudman
Publisher : Unknown
Page : 256 pages
File Size : 55,9 Mb
Release : 2010
Category : Mathematics
ISBN : UCSD:31822037482585

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The Babylonian Theorem by Peter Strom Rudman Pdf

Rudman explores the facisnating history of mathematics among the Babylonians and Egyptians. He formulates a Babylonian Theorem, which he shows was used to derive the Pythagorean Theorem about a millennium before its purported discovery by Pythagoras.

Author : Peter Strom Rudman
Publisher : Unknown
Page : 328 pages
File Size : 42,6 Mb
Release : 2007
Category : Mathematics
ISBN : UOM:39015067670938

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How Mathematics Happened by Peter Strom Rudman Pdf

A comprehensive evolution of the history of mathematics that discusses how ancient civilizations understood numbers and used them.

Author : Annette Imhausen
Publisher : Princeton University Press
Page : 248 pages
File Size : 43,7 Mb
Release : 2020-10-13
Category : Mathematics
ISBN : 9780691209074

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Mathematics in Ancient Egypt by Annette Imhausen Pdf

A survey of ancient Egyptian mathematics across three thousand years Mathematics in Ancient Egypt traces the development of Egyptian mathematics, from the end of the fourth millennium BC—and the earliest hints of writing and number notation—to the end of the pharaonic period in Greco-Roman times. Drawing from mathematical texts, architectural drawings, administrative documents, and other sources, Annette Imhausen surveys three thousand years of Egyptian history to present an integrated picture of theoretical mathematics in relation to the daily practices of Egyptian life and social structures. Imhausen shows that from the earliest beginnings, pharaonic civilization used numerical techniques to efficiently control and use their material resources and labor. Even during the Old Kingdom, a variety of metrological systems had already been devised. By the Middle Kingdom, procedures had been established to teach mathematical techniques to scribes in order to make them proficient administrators for their king. Imhausen looks at counterparts to the notation of zero, suggests an explanation for the evolution of unit fractions, and analyzes concepts of arithmetic techniques. She draws connections and comparisons to Mesopotamian mathematics, examines which individuals in Egyptian society held mathematical knowledge, and considers which scribes were trained in mathematical ideas and why. Of interest to historians of mathematics, mathematicians, Egyptologists, and all those curious about Egyptian culture, Mathematics in Ancient Egypt sheds new light on a civilization's unique mathematical evolution.