Unexpected Links Between Egyptian And Babylonian Mathematics

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Unexpected Links Between Egyptian and Babylonian Mathematics

Author : Jran Friberg
Publisher : World Scientific
ISBN 13 : 9812701125
Total Pages : 308 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Unexpected Links Between Egyptian and Babylonian Mathematics by : Jran Friberg

Download or read book Unexpected Links Between Egyptian and Babylonian Mathematics written by Jran Friberg and published by World Scientific. This book was released on 2005 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Amazing Traces of a Babylonian Origin in Greek Mathematics

Author :
Publisher :
ISBN 13 : 9814476307
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Amazing Traces of a Babylonian Origin in Greek Mathematics by :

Download or read book Amazing Traces of a Babylonian Origin in Greek Mathematics written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Amazing Traces of a Babylonian Origin in Greek Mathematics

Author : Jran Friberg
Publisher : World Scientific
ISBN 13 : 9812708847
Total Pages : 497 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Amazing Traces of a Babylonian Origin in Greek Mathematics by : Jran Friberg

Download or read book Amazing Traces of a Babylonian Origin in Greek Mathematics written by Jran Friberg and published by World Scientific. This book was released on 2007 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: A sequel to Unexpected Links Between Egyptian and Babylonian Mathematics (World Scientific, 2005), this book is based on the authorOCOs 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 OC metric algebra, OCO 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 bookOCOs use of OC metric algebra diagramsOCO in the Babylonian style, where the side lengths and areas of geometric figures are explicitly indicated, instead of wholly abstract OC lettered diagramsOCO in the Greek style, is essential for an improved understanding of many interesting propositions and constructions in Greek mathematical works. The authorOCOs comparisons with Babylonian mathematics also lead to new answers to some important open questions in the history of Greek mathematics."

A Remarkable Collection of Babylonian Mathematical Texts

Author : Jöran Friberg
Publisher : Springer Science & Business Media
ISBN 13 : 0387489770
Total Pages : 544 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis A Remarkable Collection of Babylonian Mathematical Texts by : Jöran Friberg

Download or read book A Remarkable Collection of Babylonian Mathematical Texts written by Jöran Friberg and published by Springer Science & Business Media. This book was released on 2007-10-01 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Amazing Traces of a Babylonian Origin in Greek Mathematics

Author : Jran Friberg
Publisher : World Scientific
ISBN 13 : 9812704523
Total Pages : 497 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Amazing Traces of a Babylonian Origin in Greek Mathematics by : Jran Friberg

Download or read book Amazing Traces of a Babylonian Origin in Greek Mathematics written by Jran Friberg and published by World Scientific. This book was released on 2007 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Count Like an Egyptian

Author : David Reimer
Publisher : Princeton University Press
ISBN 13 : 1400851416
Total Pages : 254 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Count Like an Egyptian by : David Reimer

Download or read book Count Like an Egyptian written by David Reimer and published by Princeton University Press. This book was released on 2014-05-11 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

New Mathematical Cuneiform Texts

Author : Jöran Friberg
Publisher : Springer
ISBN 13 : 3319445979
Total Pages : 553 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis New Mathematical Cuneiform Texts by : Jöran Friberg

Download or read book New Mathematical Cuneiform Texts written by Jöran Friberg and published by Springer. This book was released on 2017-02-13 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Crest of the Peacock

Author : George Gheverghese Joseph
Publisher : Princeton University Press
ISBN 13 : 1400836360
Total Pages : 592 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis The Crest of the Peacock by : George Gheverghese Joseph

Download or read book The Crest of the Peacock written by George Gheverghese Joseph and published by Princeton University Press. This book was released on 2010-10-04 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Indian Mathematics

Author : George Gheverghese Joseph
Publisher : World Scientific
ISBN 13 : 1786340631
Total Pages : 512 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Indian Mathematics by : George Gheverghese Joseph

Download or read book Indian Mathematics written by George Gheverghese Joseph and published by World Scientific. This book was released on 2016-07-28 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Babylonian Theorem

Author : Peter S. Rudman
Publisher : Prometheus Books
ISBN 13 : 1615929339
Total Pages : 248 pages
Book Rating : 4.6/5 (159 download)

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Book Synopsis The Babylonian Theorem by : Peter S. Rudman

Download or read book The Babylonian Theorem written by Peter S. Rudman and published by Prometheus Books. This book was released on 2010-01-26 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics in African History and Cultures

Author : Paulus Gerdes
Publisher : Lulu.com
ISBN 13 : 1430315377
Total Pages : 432 pages
Book Rating : 4.4/5 (33 download)

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Book Synopsis Mathematics in African History and Cultures by : Paulus Gerdes

Download or read book Mathematics in African History and Cultures written by Paulus Gerdes and published by Lulu.com. This book was released on 2007 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

History of Mathematics in Africa: 2000-2011

Author : Paulus Gerdes
Publisher : Lulu.com
ISBN 13 : 1105141004
Total Pages : 450 pages
Book Rating : 4.1/5 (51 download)

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Book Synopsis History of Mathematics in Africa: 2000-2011 by : Paulus Gerdes

Download or read book History of Mathematics in Africa: 2000-2011 written by Paulus Gerdes and published by Lulu.com. This book was released on 2011 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Exact Sciences in Antiquity

Author : Otto Neugebauer
Publisher : Courier Corporation
ISBN 13 : 9780486223322
Total Pages : 292 pages
Book Rating : 4.2/5 (233 download)

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Book Synopsis The Exact Sciences in Antiquity by : Otto Neugebauer

Download or read book The Exact Sciences in Antiquity written by Otto Neugebauer and published by Courier Corporation. This book was released on 1969-01-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a series of lectures delivered at Cornell University in the fall of 1949, and since revised, this is the standard non-technical coverage of Egyptian and Babylonian mathematics and astronomy, and their transmission to the Hellenistic world. Entirely modern in its data and conclusions, it reveals the surprising sophistication of certain areas of early science, particularly Babylonian mathematics. After a discussion of the number systems used in the ancient Near East (contrasting the Egyptian method of additive computations with unit fractions and Babylonian place values), Dr. Neugebauer covers Babylonian tables for numerical computation, approximations of the square root of 2 (with implications that the Pythagorean Theorem was known more than a thousand years before Pythagoras), Pythagorean numbers, quadratic equations with two unknowns, special cases of logarithms and various other algebraic and geometric cases. Babylonian strength in algebraic and numerical work reveals a level of mathematical development in many aspects comparable to the mathematics of the early Renaissance in Europe. This is in contrast to the relatively primitive Egyptian mathematics. In the realm of astronomy, too, Dr. Neugebauer describes an unexpected sophistication, which is interpreted less as the result of millennia of observations (as used to be the interpretation) than as a competent mathematical apparatus. The transmission of this early science and its further development in Hellenistic times is also described. An Appendix discusses certain aspects of Greek astronomy and the indebtedness of the Copernican system to Ptolemaic and Islamic methods. Dr. Neugebauer has long enjoyed an international reputation as one of the foremost workers in the area of premodern science. Many of his discoveries have revolutionized earlier understandings. In this volume he presents a non-technical survey, with much material unique on this level, which can be read with great profit by all interested in the history of science or history of culture. 14 plates. 52 figures.

How Mathematics Happened

Author : Peter S. Rudman
Publisher : Prometheus Books
ISBN 13 : 1615921761
Total Pages : 316 pages
Book Rating : 4.6/5 (159 download)

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Book Synopsis How Mathematics Happened by : Peter S. Rudman

Download or read book How Mathematics Happened written by Peter S. Rudman and published by Prometheus Books. This book was released on 2009-12-30 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this fascinating discussion of ancient mathematics, author Peter Rudman does not just chronicle the archeological record of what mathematics was done; he digs deeper into the more important question of why it was done in a particular way. Why did the Egyptians use a bizarre method of expressing fractions? Why did the Babylonians use an awkward number system based on multiples of 60? Rudman answers such intriguing questions, arguing that some mathematical thinking is universal and timeless. The similarity of the Babylonian and Mayan number systems, two cultures widely separated in time and space, illustrates the argument. He then traces the evolution of number systems from finger counting in hunter-gatherer cultures to pebble counting in herder-farmer cultures of the Nile and Tigris-Euphrates valleys, which defined the number systems that continued to be used even after the invention of writing. With separate chapters devoted to the remarkable Egyptian and Babylonian mathematics of the era from about 3500 to 2000 BCE, when all of the basic arithmetic operations and even quadratic algebra became doable, Rudman concludes his interpretation of the archeological record. Since some of the mathematics formerly credited to the Greeks is now known to be a prior Babylonian invention, Rudman adds a chapter that discusses the math used by Pythagoras, Eratosthenes, and Hippasus, which has Babylonian roots, illustrating the watershed difference in abstraction and rigor that the Greeks introduced. He also suggests that we might improve present-day teaching by taking note of how the Greeks taught math. Complete with sidebars offering recreational math brainteasers, this engrossing discussion of the evolution of mathematics will appeal to both scholars and lay readers with an interest in mathematics and its history.

A History of Mathematics

Author : Luke Hodgkin
Publisher : OUP Oxford
ISBN 13 : 0191664367
Total Pages : 296 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis A History of Mathematics by : Luke Hodgkin

Download or read book A History of Mathematics written by Luke Hodgkin and published by OUP Oxford. This book was released on 2013-02-21 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: A History of Mathematics: From Mesopotamia to Modernity covers the evolution of mathematics through time and across the major Eastern and Western civilizations. It begins in Babylon, then describes the trials and tribulations of the Greek mathematicians. The important, and often neglected, influence of both Chinese and Islamic mathematics is covered in detail, placing the description of early Western mathematics in a global context. The book concludes with modern mathematics, covering recent developments such as the advent of the computer, chaos theory, topology, mathematical physics, and the solution of Fermat's Last Theorem. Containing more than 100 illustrations and figures, this text, aimed at advanced undergraduates and postgraduates, addresses the methods and challenges associated with studying the history of mathematics. The reader is introduced to the leading figures in the history of mathematics (including Archimedes, Ptolemy, Qin Jiushao, al-Kashi, al-Khwarizmi, Galileo, Newton, Leibniz, Helmholtz, Hilbert, Alan Turing, and Andrew Wiles) and their fields. An extensive bibliography with cross-references to key texts will provide invaluable resource to students and exercises (with solutions) will stretch the more advanced reader.

The Babylonian Theorem

Author : Peter Strom Rudman
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis The Babylonian Theorem by : Peter Strom Rudman

Download or read book The Babylonian Theorem written by Peter Strom Rudman and published by . This book was released on 2010 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Making up Numbers: A History of Invention in Mathematics

Author : Ekkehard Kopp
Publisher : Open Book Publishers
ISBN 13 : 1800640978
Total Pages : 280 pages
Book Rating : 4.8/5 (6 download)

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Book Synopsis Making up Numbers: A History of Invention in Mathematics by : Ekkehard Kopp

Download or read book Making up Numbers: A History of Invention in Mathematics written by Ekkehard Kopp and published by Open Book Publishers. This book was released on 2020-10-23 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.