New Mathematical Cuneiform Texts

Author: Jöran Friberg,Farouk N.H. Al-Rawi

Publisher: Springer

ISBN: 3319445979

Category: Mathematics

Page: 553

View: 9738

DOWNLOAD NOW »
This monograph presents in great detail a large number of both unpublished and previously published Babylonian mathematical texts in the cuneiform script.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 The previously unpublished mathematical cuneiform texts presented in this book were discovered by Farouk Al-Rawi, who also made numerous beautiful hand copies of most of the clay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.

4000 Jahre Algebra

Geschichte – Kulturen – Menschen

Author: H.-W. Alten,A. Djafari Naini,B. Eick,M. Folkerts,H. Schlosser,K.-H. Schlote,H. Wesemüller-Kock,H. Wußing

Publisher: Springer-Verlag

ISBN: 3642382398

Category: Mathematics

Page: 745

View: 9757

DOWNLOAD NOW »
Die Entstehung, Entwicklung und Wandlung der Algebra als Teil unserer Kulturgeschichte beschreiben Wissenschaftler von fünf Universitäten. Ursprünge, Anstöße und die Entwicklung algebraischer Begriffe und Methoden werden in enger Verflechtung mit historischen Ereignissen und menschlichen Schicksalen dargestellt. Ein erster Spannungsbogen reicht von den Frühformen des Rechnens mit natürlichen Zahlen und Brüchen zur Lösung einfacher Gleichungen bis hin zur Lösung von Gleichungen dritten und vierten Grades in der Renaissance. Von den misslungenen Versuchen zur Lösung allgemeiner Gleichungen höheren Grades im 17 Jh. zieht sich ein weiterer Bogen zu den berühmten Beweisen des Fundamentalsatzes der Algebra durch Gauß und den genialen Ideen des jungen Galois. Die Wandlung der Algebra von der Gleichungslehre zur Theorie algebraischer Strukturen wird danach ebenso beschrieben, wie die völlig neuen Akzente, die die Computeralgebra in neuester Zeit gesetzt hat. Viele neue farbige Abbildungen bereichern die inhaltlichen Aktualisierungen und Textergänzungen.

A Remarkable Collection of Babylonian Mathematical Texts

Manuscripts in the Schøyen Collection: Cuneiform Texts I

Author: Jöran Friberg

Publisher: Springer Science & Business Media

ISBN: 0387345434

Category: Mathematics

Page: 533

View: 4785

DOWNLOAD NOW »
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.

Handbook on the History of Mathematics Education

Author: Alexander Karp,Gert Schubring

Publisher: Springer Science & Business Media

ISBN: 146149155X

Category: Mathematics

Page: 634

View: 5506

DOWNLOAD NOW »
This is the first comprehensive International Handbook on the History of Mathematics Education, covering a wide spectrum of epochs and civilizations, countries and cultures. Until now, much of the research into the rich and varied history of mathematics education has remained inaccessible to the vast majority of scholars, not least because it has been written in the language, and for readers, of an individual country. And yet a historical overview, however brief, has become an indispensable element of nearly every dissertation and scholarly article. This handbook provides, for the first time, a comprehensive and systematic aid for researchers around the world in finding the information they need about historical developments in mathematics education, not only in their own countries, but globally as well. Although written primarily for mathematics educators, this handbook will also be of interest to researchers of the history of education in general, as well as specialists in cultural and even social history.

Das geistige Erfassen der Welt im Alten Orient

Sprache, Religion, Kultur und Gesellschaft

Author: Joost Hazenbos,Claus Wilcke,Annette Zgoll

Publisher: Otto Harrassowitz Verlag

ISBN: 9783447055185

Category: History

Page: 359

View: 3287

DOWNLOAD NOW »
Der 150. Geburtstag von Friedrich Delitzsch, der 1874 in Leipzig die deutsche Assyriologie (Altorientalistik) begrundete, und weitere Leipziger altorientalistische Jubilaen werden zum Anlass genommen, unter dem Thema "Das geistige Erfassen der Welt im Alten Orient" die Vergangenheit, Gegenwart und Zukunft des Faches zu diskutieren. 16 Nachfahren der hochgeruhmten "Leipziger Schule" werfen einen kritischen Blick auf die Anfange ihres Faches in Leipzig, auf Fragestellungen und Methoden, auf die Konzentration auf Sprachen und ihre Bausteine, auf Heinrich Zimmerns Zugang zur Erschliessung "der" babylonischen Religion und auf Benno Landsbergers Konzept der "EigenbegriffIichkeit der babylonischen Welt." Exemplarisch wird mit konkreten Untersuchungen zu Sprache, Religion, Gesellschaft und Politik, Recht und Wirtschaft und antiker Mathematik ins 21. Jahrhundert geschaut und das Selbstverstandnis des Faches reflektiert.

From Aristotle to Augustine

Author: David J. Furley

Publisher: Psychology Press

ISBN: 0415308747

Category: Philosophy

Page: 457

View: 7823

DOWNLOAD NOW »
From Aristotle to Augustine surveys the work of philosophers who wrote in Greek and Latin from the mid-4th century BC to the 5th century AD. This second volume opens with Aristotle's immense influence on philosophy from the beginnings of Christian philosophy in the 5th century AD.

Babylonian Mathematical Astronomy: Procedure Texts

Author: Mathieu Ossendrijver

Publisher: Springer Science & Business Media

ISBN: 1461437822

Category: Mathematics

Page: 618

View: 6547

DOWNLOAD NOW »
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 Tablets from Tell Harmal

Author: Carlos Gonçalves

Publisher: Springer

ISBN: 3319225243

Category: Mathematics

Page: 141

View: 2573

DOWNLOAD NOW »
This work offers a re-edition of twelve mathematical tablets from the site of Tell Harmal, in the borders of present-day Baghdad. In ancient times, Tell Harmal was Šaduppûm, a city representative of the region of the Diyala river and of the kingdom of Ešnunna, to which it belonged for a time. These twelve tablets were originally published in separate articles in the beginning of the 1950s and mostly contain solved problem texts. Some of the problems deal with abstract matters such as triangles and rectangles with no reference to daily life, while others are stated in explicitly empirical contexts, such as the transportation of a load of bricks, the size of a vessel, the number of men needed to build a wall and the acquisition of oil and lard. This new edition of the texts is the first to group them, and takes into account all the recent developments of the research in the history of Mesopotamian mathematics. Its introductory chapters are directed to readers interested in an overview of the mathematical contents of these tablets and the language issues involved in their interpretation, while a chapter of synthesis discusses the ways history of mathematics has typically dealt with the mathematical evidence and inquires how and to what degree mathematical tablets can be made part of a picture of the larger social context. Furthermore, the volume contributes to a geography of the Old Babylonian mathematical practices, by evidencing that scribes at Šaduppûm made use of cultural material that was locally available. The edited texts are accompanied by translations, philological, and mathematical commentaries.

Texts, Textual Acts and the History of Science

Author: Karine Chemla,Jacques Virbel

Publisher: Springer

ISBN: 3319164449

Category: Science

Page: 430

View: 4563

DOWNLOAD NOW »
The book presents the outcomes of an innovative research programme in the history of science and implements a Text Act Theory which extends Speech Act Theory, in order to illustrate a new approach to texts and textual communicative acts. It examines assertives (absolute or conditional statements, forecasts, insurance, etc.), directives, declarations and enumerations, as well as different types of textual units allowing authors to perform these acts: algorithms, recipes, prescriptions, lexical templates for terminological studies and enumerative structures. The book relies on the study of a broad range of documents of the past dealing with various domains: mathematics, zoology, medicine, lexicography. The documents examined come from scholarly sources from different parts of the world, such as China, Europe, India, Mesopotamia and are written in a variety of European languages as well as Chinese, Cuneiform and Sanskrit. This approach proves fruitful in both history of science and Text Act Theory.

SCIAMVS

Sources and Commentaries in Exact Sciences

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Science

Page: N.A

View: 2662

DOWNLOAD NOW »
Publishes source materials for historical research on the exact sciences in Antiquity and the Middle Ages in original languages, with translations, notes, and commentaries.

Astronomical Cuneiform Texts

Babylonian Ephemerides of the Seleucid Period for the Motion of the Sun, the Moon, and the Planets

Author: O. Neugebauer

Publisher: Springer Science & Business Media

ISBN: 1461255074

Category: Mathematics

Page: 802

View: 6121

DOWNLOAD NOW »
THE MOON IX PREFACE TO THE SPRINGER EDITION When this collection of Babylonian astronomical purpose of column of the lunar ephemerides (by texts was published in 1955 (a date omitted by Aaboe) and the explanation of the method of computing the eclipse text ACT No. 6o (by Hamilton mistake from the title page), it contained all texts of this type that I could lay my hands on. As was to be and Aaboe). Some of these advances I have tried to incorporate into my History of Ancient Mathematical expected, the past 25 years provided more fragments, identified by A. Sachs and A. Aaboe in the British Astronomy (1975), which should be used as a guide to Museum and listed below. Also, some new joins the more recent literature. could be made and some errors of mine corrected. My sincerest thanks go to Springer-Verlag for Nevertheless, I think one still can consider the making this work again available to students of material of 1955 to be representative of what has been ancient astronomy. The Institute for Advanced preserved of the mathematical astronomy of the Study, which together with Brown University has Seleucid period. supported my work for more than four decades, has In the meantime, far more progress has been made graciously given its permission for this reprint. in our understanding of Babylonian astronomy, mainly by the publications of Aaboe, Hamilton, Maeyama, Sachs, van der Waerden, and others. As an Princeton 0.

Eine kurze Geschichte der Menschheit

Author: Yuval Noah Harari

Publisher: DVA

ISBN: 364110498X

Category: History

Page: 528

View: 7385

DOWNLOAD NOW »
Krone der Schöpfung? Vor 100 000 Jahren war der Homo sapiens noch ein unbedeutendes Tier, das unauffällig in einem abgelegenen Winkel des afrikanischen Kontinents lebte. Unsere Vorfahren teilten sich den Planeten mit mindestens fünf weiteren menschlichen Spezies, und die Rolle, die sie im Ökosystem spielten, war nicht größer als die von Gorillas, Libellen oder Quallen. Vor 70 000 Jahren dann vollzog sich ein mysteriöser und rascher Wandel mit dem Homo sapiens, und es war vor allem die Beschaffenheit seines Gehirns, die ihn zum Herren des Planeten und zum Schrecken des Ökosystems werden ließ. Bis heute hat sich diese Vorherrschaft stetig zugespitzt: Der Mensch hat die Fähigkeit zu schöpferischem und zu zerstörerischem Handeln wie kein anderes Lebewesen. Anschaulich, unterhaltsam und stellenweise hochkomisch zeichnet Yuval Harari die Geschichte des Menschen nach und zeigt alle großen, aber auch alle ambivalenten Momente unserer Menschwerdung.

Einführung in die Geometrie und Topologie

Author: Werner Ballmann

Publisher: Springer-Verlag

ISBN: 3034809018

Category: Mathematics

Page: 162

View: 3214

DOWNLOAD NOW »
Das Buch bietet eine Einführung in die Topologie, Differentialtopologie und Differentialgeometrie. Es basiert auf Manuskripten, die in verschiedenen Vorlesungszyklen erprobt wurden. Im ersten Kapitel werden grundlegende Begriffe und Resultate aus der mengentheoretischen Topologie bereitgestellt. Eine Ausnahme hiervon bildet der Jordansche Kurvensatz, der für Polygonzüge bewiesen wird und eine erste Idee davon vermitteln soll, welcher Art tiefere topologische Probleme sind. Im zweiten Kapitel werden Mannigfaltigkeiten und Liesche Gruppen eingeführt und an einer Reihe von Beispielen veranschaulicht. Diskutiert werden auch Tangential- und Vektorraumbündel, Differentiale, Vektorfelder und Liesche Klammern von Vektorfeldern. Weiter vertieft wird diese Diskussion im dritten Kapitel, in dem die de Rhamsche Kohomologie und das orientierte Integral eingeführt und der Brouwersche Fixpunktsatz, der Jordan-Brouwersche Zerlegungssatz und die Integralformel von Stokes bewiesen werden. Das abschließende vierte Kapitel ist den Grundlagen der Differentialgeometrie gewidmet. Entlang der Entwicklungslinien, die die Geometrie der Kurven und Untermannigfaltigkeiten in Euklidischen Räumen durchlaufen hat, werden Zusammenhänge und Krümmung, die zentralen Konzepte der Differentialgeometrie, diskutiert. Den Höhepunkt bilden die Gaussgleichungen, die Version des theorema egregium von Gauss für Untermannigfaltigkeiten beliebiger Dimension und Kodimension. Das Buch richtet sich in erster Linie an Mathematik- und Physikstudenten im zweiten und dritten Studienjahr und ist als Vorlage für ein- oder zweisemestrige Vorlesungen geeignet.

Mathematische Keilschrift-Texte/Mathematical Cuneiform Texts

Author: O. Neugebauer

Publisher: Springer-Verlag

ISBN: 3642678939

Category: Mathematics

Page: N.A

View: 9993

DOWNLOAD NOW »
Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.