A Remarkable Collection Of Babylonian Mathematical Texts

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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.

A Remarkable Collection of Babylonian Mathematical Texts

Author : Joran Friberg
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (14 download)

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

Download or read book A Remarkable Collection of Babylonian Mathematical Texts written by Joran Friberg and published by . This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 Book excerpt: This monograph presents in great detail a large number of both unpublished and previously published Babylonian mathematical texts in the cuneiform script.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.

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.

Lengths, Widths, Surfaces

Author : Jens Høyrup
Publisher : Springer Science & Business Media
ISBN 13 : 1475736851
Total Pages : 462 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Lengths, Widths, Surfaces by : Jens Høyrup

Download or read book Lengths, Widths, Surfaces written by Jens Høyrup and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this examination of the Babylonian cuneiform "algebra" texts, based on a detailed investigation of the terminology and discursive organization of the texts, Jens Høyrup proposes that the traditional interpretation must be rejected. The texts turn out to speak not of pure numbers, but of the dimensions and areas of rectangles and other measurable geometrical magnitudes, often serving as representatives of other magnitudes (prices, workdays, etc...), much as pure numbers represent concrete magnitudes in modern applied algebra. Moreover, the geometrical procedures are seen to be reasoned to the same extent as the solutions of modern equation algebra, though not built on any explicit deductive structure.

Babylonian Mathematical Astronomy: Procedure Texts

Author : Mathieu Ossendrijver
Publisher : Springer Science & Business Media
ISBN 13 : 1461437822
Total Pages : 636 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Babylonian Mathematical Astronomy: Procedure Texts by : Mathieu Ossendrijver

Download or read book Babylonian Mathematical Astronomy: Procedure Texts written by Mathieu Ossendrijver and published by Springer Science & Business Media. This book was released on 2012-04-24 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains new translations and a new analysis of the procedure texts of Babylonian mathematical astronomy, the earliest known form of mathematical astronomy of the ancient world. The translations are based on a modern approach incorporating recent insights from Assyriology and translation science. The work contains updated and expanded interpretations of the astronomical algorithms and investigations of previously ignored linguistic, mathematical and other aspects of the procedure texts. Special attention is paid to issues of mathematical representation and over 100 photos of cuneiform tablets dating from 350-50 BCE are presented. In 2-3 years, the author intends to continue his study of Babylonian mathematical astronomy with a new publication which will contain new editions and reconstructions of approx. 250 tabular texts and a new philological, astronomical and mathematical analysis of these texts. Tabular texts are end products of Babylonian math astronomy, computed with algorithms that are formulated in the present volume, Procedure Texts.

Mathematical Cuneiform Texts

Author : Albrecht Götze
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Cuneiform Texts by : Albrecht Götze

Download or read book Mathematical Cuneiform Texts written by Albrecht Götze and published by . This book was released on 1945 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Expeditions

Author : Frank J. Swetz
Publisher : JHU Press
ISBN 13 : 1421404370
Total Pages : 205 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis Mathematical Expeditions by : Frank J. Swetz

Download or read book Mathematical Expeditions written by Frank J. Swetz and published by JHU Press. This book was released on 2012-07-16 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A collection of over 500 culturally and historically diverse mathematical problems carefully chosen to enrich mathematics teaching from middle school through the college level."--Provided by publisher.

Mathematics in Ancient Iraq

Author : Eleanor Robson
Publisher : Princeton University Press
ISBN 13 : 0691201404
Total Pages : 399 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Mathematics in Ancient Iraq by : Eleanor Robson

Download or read book Mathematics in Ancient Iraq written by Eleanor Robson and published by Princeton University Press. This book was released on 2020-06-30 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monumental book traces the origins and development of mathematics in the ancient Middle East, from its earliest beginnings in the fourth millennium BCE to the end of indigenous intellectual culture in the second century BCE when cuneiform writing was gradually abandoned. Eleanor Robson offers a history like no other, examining ancient mathematics within its broader social, political, economic, and religious contexts, and showing that mathematics was not just an abstract discipline for elites but a key component in ordering society and understanding the world. The region of modern-day Iraq is uniquely rich in evidence for ancient mathematics because its prehistoric inhabitants wrote on clay tablets, many hundreds of thousands of which have been archaeologically excavated, deciphered, and translated. Drawing from these and a wealth of other textual and archaeological evidence, Robson gives an extraordinarily detailed picture of how mathematical ideas and practices were conceived, used, and taught during this period. She challenges the prevailing view that they were merely the simplistic precursors of classical Greek mathematics, and explains how the prevailing view came to be. Robson reveals the true sophistication and beauty of ancient Middle Eastern mathematics as it evolved over three thousand years, from the earliest beginnings of recorded accounting to complex mathematical astronomy. Every chapter provides detailed information on sources, and the book includes an appendix on all mathematical cuneiform tablets published before 2007.

Mathematical Excursions to the World's Great Buildings

Author : Alexander Hahn
Publisher : Princeton University Press
ISBN 13 : 0691145202
Total Pages : 344 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematical Excursions to the World's Great Buildings by : Alexander Hahn

Download or read book Mathematical Excursions to the World's Great Buildings written by Alexander Hahn and published by Princeton University Press. This book was released on 2012-07-22 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the mathematics behind the design of famous buildings, including the Parthenon, the Sydney Opera House, and the Bilbao Guggenheim.

Unexpected Links Between Egyptian and Ba

Author : Jöran Friberg
Publisher : World Scientific Publishing Company
ISBN 13 : 9789812563286
Total Pages : 294 pages
Book Rating : 4.5/5 (632 download)

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Book Synopsis Unexpected Links Between Egyptian and Ba by : Jöran Friberg

Download or read book Unexpected Links Between Egyptian and Ba written by Jöran Friberg and published by World Scientific Publishing Company. This book was released on 2005 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mesopotamian mathematics is known from a great number of cuneiform texts, most of them Old Babyonian, 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 interpretations and presentations 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.

Mesopotamian Mathematics, 2100-1600 BC

Author : Eleanor Robson
Publisher : Oxford University Press
ISBN 13 : 9780198152460
Total Pages : 544 pages
Book Rating : 4.1/5 (524 download)

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Book Synopsis Mesopotamian Mathematics, 2100-1600 BC by : Eleanor Robson

Download or read book Mesopotamian Mathematics, 2100-1600 BC written by Eleanor Robson and published by Oxford University Press. This book was released on 1999 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics was integral to Mesopotamian scribal culture: indeed, writing was invented towards the end of the fourth millennium B.C. for the express purpose of recording numericalatical information. The main body of this book is a mathematical and philological discussion of the two hundred technical constants, or "coefficients," found in early second millennium mathematics. Their names and mathematical functions are established, leading to improved interpretations of several large mathematical topics. The origins of many coefficients--and much of the more practical mathematics--are traced to late third millennium accounting and quantity surveying practices. Finally, the coefficients are used to examine some aspects of mathematics education in early Mesopotamia.

Episodes from the Early History of Mathematics

Author : Asger Aaboe
Publisher : MAA
ISBN 13 : 9780883856130
Total Pages : 154 pages
Book Rating : 4.8/5 (561 download)

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Book Synopsis Episodes from the Early History of Mathematics by : Asger Aaboe

Download or read book Episodes from the Early History of Mathematics written by Asger Aaboe and published by MAA. This book was released on 1963 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among other things, Aaboe shows us how the Babylonians did calculations, how Euclid proved that there are infinitely many primes, how Ptolemy constructed a trigonometric table in his Almagest, and how Archimedes trisected the angle.

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."

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.

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.