Mathematics In Ancient Egypt

Author : Annette Imhausen
Publisher : Princeton University Press
Page : 248 pages
File Size : 55,6 Mb
Release : 2020-10-13
Category : Mathematics
ISBN : 9780691209074

Get Book

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.

Author : David Reimer
Publisher : Princeton University Press
Page : 250 pages
File Size : 52,7 Mb
Release : 2014-04-27
Category : Mathematics
ISBN : 9780691160122

Get Book

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 : Corinna Rossi
Publisher : Cambridge University Press
Page : 280 pages
File Size : 47,9 Mb
Release : 2004-04-15
Category : Social Science
ISBN : 9781107320512

Get Book

Architecture and Mathematics in Ancient Egypt by Corinna Rossi Pdf

In this fascinating study, architect and Egyptologist Corinna Rossi analyses the relationship between mathematics and architecture in ancient Egypt by exploring the use of numbers and geometrical figures in ancient architectural projects and buildings. While previous architectural studies have searched for abstract 'universal rules' to explain the history of Egyptian architecture, Rossi attempts to reconcile the different approaches of archaeologists, architects and historians of mathematics into a single coherent picture. Using a study of a specific group of monuments, the pyramids, and placing them in the context of their cultural and historical background, Rossi argues that theory and practice of construction must be considered as a continuum, not as two separated fields, in order to allow the original planning process of a building to re-emerge. Highly illustrated with plans, diagrams and figures, this book is essential reading for all scholars of Ancient Egypt and the architecture of ancient cultures.

Author : W.S. Anglin,J. Lambek
Publisher : Springer Science & Business Media
Page : 304 pages
File Size : 52,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461208037

Get Book

The Heritage of Thales by W.S. Anglin,J. Lambek Pdf

The authors' novel approach to some interesting mathematical concepts - not normally taught in other courses - places them in a historical and philosophical setting. Although primarily intended for mathematics undergraduates, the book will also appeal to students in the sciences, humanities and education with a strong interest in this subject. The first part proceeds from about 1800 BC to 1800 AD, discussing, for example, the Renaissance method for solving cubic and quartic equations and providing rigorous elementary proof that certain geometrical problems posed by the ancient Greeks cannot be solved by ruler and compass alone. The second part presents some fundamental topics of interest from the past two centuries, including proof of G del's incompleteness theorem, together with a discussion of its implications.

Author : Richard J. Gillings
Publisher : Courier Corporation
Page : 319 pages
File Size : 43,5 Mb
Release : 1982-01-01
Category : History
ISBN : 9780486243153

Get Book

Mathematics in the Time of the Pharaohs by Richard J. Gillings Pdf

In this carefully researched study, the author examines Egyptian mathematics, demonstrating that although operations were limited in number, they were remarkably adaptable to a great many applications: solution of problems in direct and inverse proportion, linear equations of the first degree, and arithmetical and geometrical progressions.

Author : Marshall Clagett
Publisher : American Philosophical Society
Page : 756 pages
File Size : 45,9 Mb
Release : 1989
Category : History
ISBN : 0871692147

Get Book

Ancient Egyptian Science by Marshall Clagett Pdf

This volume, the first of three volumes describing the major facets of Ancient Egyptian Science, concentrates on the origin and development of hieroglyphic writing, the scribal profession, and quasi-learned institutions in ancient Egypt. Professor Clagett has paid particular attention to the so-called Palermo Stone, the earliest annals composed in Eygpt.

Author : Marshall Clagett
Publisher : American Philosophical Society
Page : 494 pages
File Size : 47,8 Mb
Release : 1989
Category : History
ISBN : 0871692325

Get Book

Ancient Egyptian Science: Ancient Egyptian mathematics by Marshall Clagett Pdf

The volume gives a discourse on the nature and accomplishments of Egyptian mathematics. The author quotes and discusses interpretations of such authors as Eisenlohr, Griffith, Hultsch, Peet, Struce, Neugebauer, Chace, Glanville, van der Waerden, Bruins, Gillings, and others. (Mathematics)

Author : Victor J. Katz
Publisher : Princeton University Press
Page : 701 pages
File Size : 44,5 Mb
Release : 2021-08-10
Category : Mathematics
ISBN : 9780691235394

Get Book

The Mathematics of Egypt, Mesopotamia, China, India, and Islam by Victor J. Katz Pdf

In recent decades it has become obvious that mathematics has always been a worldwide activity. But this is the first book to provide a substantial collection of English translations of key mathematical texts from the five most important ancient and medieval non-Western mathematical cultures, and to put them into full historical and mathematical context. The Mathematics of Egypt, Mesopotamia, China, India, and Islam gives English readers a firsthand understanding and appreciation of these cultures' important contributions to world mathematics. The five section authors—Annette Imhausen (Egypt), Eleanor Robson (Mesopotamia), Joseph Dauben (China), Kim Plofker (India), and J. Lennart Berggren (Islam)—are experts in their fields. Each author has selected key texts and in many cases provided new translations. The authors have also written substantial section introductions that give an overview of each mathematical culture and explanatory notes that put each selection into context. This authoritative commentary allows readers to understand the sometimes unfamiliar mathematics of these civilizations and the purpose and significance of each text. Addressing a critical gap in the mathematics literature in English, this book is an essential resource for anyone with at least an undergraduate degree in mathematics who wants to learn about non-Western mathematical developments and how they helped shape and enrich world mathematics. The book is also an indispensable guide for mathematics teachers who want to use non-Western mathematical ideas in the classroom.

Author : Gay Robins,Charles Shute
Publisher : Unknown
Page : 92 pages
File Size : 52,7 Mb
Release : 1987
Category : Mathematics
ISBN : UOM:39015014351343

Get Book

The Rhind Mathematical Papyrus by Gay Robins,Charles Shute Pdf

Found in Thebes on the 1850s, the Rhind Mathematical Papyrus dates back in its origins to the age of the great pyramid builders. The ancient Egyptians were superb arithmeticians, with enough understanding of geometry and trigonomentry to make their architectural triumphs possible. From the papyrus we can learn how young pupils were subjected to a rigorous training in the manipulation of numbers that enabled the fully-flegded scribe to control not only the design and construction of huge monuments, but also the more mundane activities of everyday life. Some of their methods are similar to those of today; others have been superseded, but nevertheless retain a fascination.

Author : J”ran Friberg
Publisher : World Scientific
Page : 308 pages
File Size : 41,8 Mb
Release : 2005
Category : Mathematics
ISBN : 9789812701121

Get Book

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 : Thomas Eric Peet
Publisher : Unknown
Page : 42 pages
File Size : 45,6 Mb
Release : 1931
Category : Mathematics, Egyptian
ISBN : UOM:39015024364815

Get Book

Mathematics in Ancient Egypt by Thomas Eric Peet Pdf

Author : Denise Gaskins
Publisher : Tabletop Academy Press
Page : 288 pages
File Size : 42,6 Mb
Release : 2012-09-04
Category : Education
ISBN : 9781892083241

Get Book

Let's Play Math by Denise Gaskins Pdf

Author : Marshall Clagett
Publisher : Unknown
Page : 128 pages
File Size : 51,6 Mb
Release : 1989
Category : Science
ISBN : OCLC:186169814

Get Book

Ancient Egyptian Science by Marshall Clagett Pdf

Author : Somers Clarke,Reginald Engelbach
Publisher : Courier Corporation
Page : 353 pages
File Size : 49,8 Mb
Release : 1990-01-01
Category : Architecture
ISBN : 9780486264851

Get Book

Ancient Egyptian Construction and Architecture by Somers Clarke,Reginald Engelbach Pdf

Provides description and analysis of Egyptian building practices.

Author : Nikolaj Ivanovič Lobačevskij
Publisher : Independently Published
Page : 52 pages
File Size : 51,8 Mb
Release : 2019-05-22
Category : Electronic
ISBN : 1099688817

Get Book

Theory of Parallels by Nikolaj Ivanovič Lobačevskij Pdf

LOBACHEVSKY was the first man ever to publish a non-Euclidean geometry. Of the immortal essay now first appearing in English Gauss said, "The author has treated the matter with a master-hand and in the true geometer's spirit. I think I ought to call your attention to this book, whose perusal cannot fail to give you the most vivid pleasure." Clifford says, "It is quite simple, merely Euclid without the vicious assumption, but the way things come out of one another is quite lovely." * * * "What Vesalius was to Galen, what Copernicus was to Ptolemy, that was Lobachevsky to Euclid." Says Sylvester, "In Quaternions the example has been given of Algebra released from the yoke of the commutative principle of multiplication - an emancipation somewhat akin to Lobachevsky's of Geometry from Euclid's noted empirical axiom." Cayley says, "It is well known that Euclid's twelfth axiom, even in Playfair's form of it, has been considered as needing demonstration; and that Lobachevsky constructed a perfectly consistent theory, where- in this axiom was assumed not to hold good, or say a system of non- Euclidean plane geometry. There is a like system of non-Euclidean solid geometry." GEORGE BRUCE HALSTED. 2407 San Marcos Street, Austin, Texas. * * * *From the TRANSLATOR'S INTRODUCTION. "Prove all things, hold fast that which is good," does not mean demonstrate everything. From nothing assumed, nothing can be proved. "Geometry without axioms," was a book which went through several editions, and still has historical value. But now a volume with such a title would, without opening it, be set down as simply the work of a paradoxer. The set of axioms far the most influential in the intellectual history of the world was put together in Egypt; but really it owed nothing to the Egyptian race, drew nothing from the boasted lore of Egypt's priests. The Papyrus of the Rhind, belonging to the British Museum, but given to the world by the erudition of a German Egyptologist, Eisenlohr, and a German historian of mathematics, Cantor, gives us more knowledge of the state of mathematics in ancient Egypt than all else previously accessible to the modern world. Its whole testimony con- firms with overwhelming force the position that Geometry as a science, strict and self-conscious deductive reasoning, was created by the subtle intellect of the same race whose bloom in art still overawes us in the Venus of Milo, the Apollo Belvidere, the Laocoon. In a geometry occur the most noted set of axioms, the geometry of Euclid, a pure Greek, professor at the University of Alexandria. Not only at its very birth did this typical product of the Greek genius assume sway as ruler in the pure sciences, not only does its first efflorescence carry us through the splendid days of Theon and Hypatia, but unlike the latter, fanatics cannot murder it; that dismal flood, the dark ages, cannot drown it. Like the phoenix of its native Egypt, it rises with the new birth of culture. An Anglo-Saxon, Adelard of Bath, finds it clothed in Arabic vestments in the land of the Alhambra. Then clothed in Latin, it and the new-born printing press confer honor on each other. Finally back again in its original Greek, it is published first in queenly Basel, then in stately Oxford. The latest edition in Greek is from Leipsic's learned presses.