Sourcebook in the Mathematics of Medieval Europe and North Africa

Sourcebook in the Mathematics of Medieval Europe and North Africa

The book includes a general introduction, section introductions, footnotes, and references.

Author: Victor J. Katz

Publisher: Princeton University Press

ISBN: 9780691156859

Category: Mathematics

Page: 592

View: 219

Medieval Europe was a meeting place for the Christian, Jewish, and Islamic civilizations, and the fertile intellectual exchange of these cultures can be seen in the mathematical developments of the time. This sourcebook presents original Latin, Hebrew, and Arabic sources of medieval mathematics, and shows their cross-cultural influences. Most of the Hebrew and Arabic sources appear here in translation for the first time. Readers will discover key mathematical revelations, foundational texts, and sophisticated writings by Latin, Hebrew, and Arabic-speaking mathematicians, including Abner of Burgos's elegant arguments proving results on the conchoid—a curve previously unknown in medieval Europe; Levi ben Gershon’s use of mathematical induction in combinatorial proofs; Al-Mu’taman Ibn Hūd’s extensive survey of mathematics, which included proofs of Heron’s Theorem and Ceva’s Theorem; and Muhyī al-Dīn al-Maghribī’s interesting proof of Euclid’s parallel postulate. The book includes a general introduction, section introductions, footnotes, and references. The Sourcebook in the Mathematics of Medieval Europe and North Africa will be indispensable to anyone seeking out the important historical sources of premodern mathematics.
Categories: Mathematics

Handbook of Discrete and Combinatorial Mathematics

Handbook of Discrete and Combinatorial Mathematics

V.J.Katz, History of Mathematics, an Introduction, 3rd ed., Addison-Wesley, 2008.
V.J.Katz, M.Folkerts, B.Hughes, R.Wagner, and J.L.Berggren, eds., Sourcebook
in the Mathematics of Medieval Europe and North Africa, Princeton University ...

Author: Kenneth H. Rosen

Publisher: CRC Press

ISBN: 9781584887812

Category: Mathematics

Page: 1612

View: 598

Handbook of Discrete and Combinatorial Mathematics provides a comprehensive reference volume for mathematicians, computer scientists, engineers, as well as students and reference librarians. The material is presented so that key information can be located and used quickly and easily. Each chapter includes a glossary. Individual topics are covered in sections and subsections within chapters, each of which is organized into clearly identifiable parts: definitions, facts, and examples. Examples are provided to illustrate some of the key definitions, facts, and algorithms. Some curious and entertaining facts and puzzles are also included. Readers will also find an extensive collection of biographies. This second edition is a major revision. It includes extensive additions and updates. Since the first edition appeared in 1999, many new discoveries have been made and new areas have grown in importance, which are covered in this edition.
Categories: Mathematics

Plato s forms mathematics and astronomy

Plato   s forms  mathematics and astronomy

Sourcebook in the Mathematics of Medieval Europe and North Africa. Princeton.
Klein, J. 1968. Greek Mathematical Thought and the Origin of Algebra, transl. by
E. Brann. Cambridge, MA (first published in Quellen und Studien zur Geschichte
 ...

Author: Theokritos Kouremenos

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 9783110601480

Category: Literary Criticism

Page: 158

View: 683

Plato’s view that mathematics paves the way for his philosophy of forms is well known. This book attempts to flesh out the relationship between mathematics and philosophy as Plato conceived them by proposing that in his view, although it is philosophy that came up with the concept of beings, which he calls forms, and highlighted their importance, first to natural philosophy and then to ethics, the things that do qualify as beings are inchoately revealed by mathematics as the raw materials that must be further processed by philosophy (mathematicians, to use Plato’s simile in the Euthedemus, do not invent the theorems they prove but discover beings and, like hunters who must hand over what they catch to chefs if it is going to turn into something useful, they must hand over their discoveries to philosophers). Even those forms that do not bear names of mathematical objects, such as the famous forms of beauty and goodness, are in fact forms of mathematical objects. The first chapter is an attempt to defend this thesis. The second argues that for Plato philosophy’s crucial task of investigating the exfoliation of the forms into the sensible world, including the sphere of human private and public life, is already foreshadowed in one of its branches, astronomy.
Categories: Literary Criticism

Making and Breaking Mathematical Sense

Making and Breaking Mathematical Sense

In line with the emerging field of philosophy of mathematical practice, this book pushes the philosophy of mathematics away from questions about the reality and truth of mathematical entities and statements and toward a focus on what ...

Author: Roi Wagner

Publisher: Princeton University Press

ISBN: 9781400883783

Category: Mathematics

Page: 256

View: 421

In line with the emerging field of philosophy of mathematical practice, this book pushes the philosophy of mathematics away from questions about the reality and truth of mathematical entities and statements and toward a focus on what mathematicians actually do—and how that evolves and changes over time. How do new mathematical entities come to be? What internal, natural, cognitive, and social constraints shape mathematical cultures? How do mathematical signs form and reform their meanings? How can we model the cognitive processes at play in mathematical evolution? And how does mathematics tie together ideas, reality, and applications? Roi Wagner uniquely combines philosophical, historical, and cognitive studies to paint a fully rounded image of mathematics not as an absolute ideal but as a human endeavor that takes shape in specific social and institutional contexts. The book builds on ancient, medieval, and modern case studies to confront philosophical reconstructions and cutting-edge cognitive theories. It focuses on the contingent semiotic and interpretive dimensions of mathematical practice, rather than on mathematics' claim to universal or fundamental truths, in order to explore not only what mathematics is, but also what it could be. Along the way, Wagner challenges conventional views that mathematical signs represent fixed, ideal entities; that mathematical cognition is a rigid transfer of inferences between formal domains; and that mathematics’ exceptional consensus is due to the subject’s underlying reality. The result is a revisionist account of mathematical philosophy that will interest mathematicians, philosophers, and historians of science alike.
Categories: Mathematics

New Serial Titles

New Serial Titles

Middle Ages - History -- Sources . 1. Institut de recherche et ... South Africa .
Bantu Appeal Court ( North - Eastern Division ) search under Verslae van die
Bantoe - appèlhowe . Sourcebook search ... IN PROCESS 92-649529 AACR 2
DLC TITLE CHANGE Sourcebook for science , mathematics , and technology
education .

Author:

Publisher:

ISBN: UIUC:30112024871607

Category: Periodicals

Page:

View: 788

A union list of serials commencing publication after Dec. 31, 1949.
Categories: Periodicals

Choice

Choice

Author: Richard K. Gardner

Publisher:

ISBN: UOM:49015003053528

Category: Best books

Page:

View: 592

Categories: Best books

Econometric Sourcebook

Econometric Sourcebook

... general 042 North American ( excluding Mexico ) economic history 043
Ancient and medieval economic history until 1453 044 European economic
history 045 Asian economic history 046 African economic history 047 Latin
American and ... 200 Quantitative Economic Methods and Data 210 Econometric
, Statistical , and Mathematical Methods and Models 211 Econometric and
statistical methods and ...

Author: Betty J. Blecha

Publisher: Thomson South-Western

ISBN: IND:30000000182075

Category: Social Science

Page: 226

View: 575

Categories: Social Science

National Security

National Security

Arab and Persian scholars made many important advancements in science and
math , particularly algebra , geometry , chemistry , and ... Crusades During the
Middle Ages Catholic Church authorities wielded great power over the peoples of
Europe . ... According to Paul Halsall , in “ Medieval Sourcebook : Urban II —
Speech at Clermont 1095 ” ( January 1996 ... Britain , France , and Italy all had
colonies in the Middle East and / or North Africa during the 1800s and early
1900s .

Author: Kim Masters Evans

Publisher: Information Plus

ISBN: 1414433808

Category: Political Science

Page: 158

View: 415

Covers formation of the Department of Homeland Security, increased security measures at airports, the enactment of the Patriot Act of 2001, and the invasions of Afghanistan and Iraq. Provides the history of national security in the United States; descriptions of the various conventional and nonproliferation treaties and regimes; and information on countries of concern to the United States.
Categories: Political Science

Choice

Choice

38 - 4073 Nobles and nobility in medieval Europe . 38 - 4105 Nonlinear finite ... (
Internet Resource ) 38 - 3910 North American mammalian paleofaunal database
. ( Internet Resource ) 38 - 3910a Northern Africa : a guide to reference and
information sources . 38 - 3674 Nude sculpture ... 38 - 3737 A Sourcebook on
naturalist theatre . 38 - 3828 The ... 38 - 3746 Pappus of Alexandria and the
mathematics ...

Author:

Publisher:

ISBN: STANFORD:36105113270024

Category: Academic libraries

Page:

View: 352

Categories: Academic libraries

Willing s Press Guide

Willing s Press Guide

Market Research Sourcebook ....... 1267 ... 59 , 704 Mathematical Pie 50 , 704
Mathematical Proceedings of the Cambridge Phil Soc . 50 , 704 ... 68 , 707 Medi -
Pharm Opportunities 54 , 707 Media .707 Media + .... .707 Media Advisory
Associates 1270 Media and Marketing Europe 55 , 707 Media Asia Europe . ... 66
, 708 Medical Device Companies Analysis ........ .67 , 708 Medical Digest Middle
East , N. Africa India & Pakistan 66 ... 1167 Medicom Publishing Ltd 1167
Medieval Life .

Author:

Publisher:

ISBN: PSU:000043244423

Category: English newspapers

Page:

View: 511

Categories: English newspapers

Guide to Reference Books

Guide to Reference Books

... a bibliography , Government Affairs Foundation , Inc . , 4478 Mettler , F . A .
Medical sourcebook , Mettlap93 . ... 4L128 _ 4L129 Materials of demography , H .
T . Eldridge , 4L29 Mathematical handbook for scientists and engineers , G . A ...
4R144 Medieval history : bibliography , 4123 ; periodical indexes , 4124
Meditsinskii referativnyi zhurnal , 4P88 Meer , F ... Directorio de asociaciones e
institutos científicos y culturales de la República Mexicana , 4C15 Meyen , F .
North European ...

Author: Isadore Gilbert Mudge

Publisher:

ISBN: MINN:31951D00126279V

Category: Reference books

Page: 278

View: 729

Categories: Reference books

AB Bookman s Weekly

AB Bookman s Weekly

Voices From The North African Harkness . Beliefs That Count ... Spain In Middle
Ages Mackenzie . Sinister Street Maffei . Teaching Preschool Math Magnusson .
Northern Sphinx ... Sourcebook On Pornography Ottenbacher . Scientific Inquiry ...

Author:

Publisher:

ISBN: UOM:39015039308211

Category: Antiquarian booksellers

Page:

View: 194

Categories: Antiquarian booksellers

Library Media Connection

Library Media Connection

South Africa . 3 - 75 Otfinoski , Steven . Bulgaria . 1 - 78 Perkins , Dorothy .
Encyclopedia of China : The Essential Reference of China , Its History and ... 2 -
70 North America In Colonial Times . ... Daily Life in Medieval Europe . ... 1 - 79
Eating Disorders : A Reference Sourcebook . ... Math Trek : Adventure in the
MathZone .

Author:

Publisher:

ISBN: UOM:39015082960066

Category: Children

Page:

View: 877

Categories: Children

Book Review Digest

Book Review Digest

Author: Leslie Dunmore-Leiber

Publisher:

ISBN: UCSC:32106020065188

Category: Book review digest

Page:

View: 529

Categories: Book review digest

Quill Quire

Quill   Quire

Author:

Publisher:

ISBN: UCAL:B3979118

Category: Book industries and trade

Page:

View: 285

Categories: Book industries and trade

Information Sources of Political Science

Information Sources of Political Science

... 1757 Materials and Methods for Political Science Research , 667 Mathematical
Economics and Operations Research : A ... Medieval Political Philosophy : A
Sourcebook , 2356 Men of the Supreme Court : Profiles of the Justices , 1087
Mental ... A Political and Economic Survey , 2032 The Middle East : Abstracts and
Index , 2000 The Middle East and North Africa ... Modern American Business
Dictionary , 441 A Modern Dictionary of Sociology , 850 Modern European
Imperialism : A ...

Author: Frederick L. Holler

Publisher: Santa Barbara, Calif. : ABC-Clio

ISBN: UCSD:31822003959434

Category: Political Science

Page: 417

View: 767

Categories: Political Science