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Last updated 12/25/05
MAA: association
Follow this link to the MAA, The Mathematical Association of America.
MAES: Manchester Ancient Egypt Society
MAGDALENE: (Christian) Manuscript [New Testament]
http://debate.org.uk/topics/history/bib-qur/sum.htm
MAGDOLA: (Greek) papyri
(as per B.P. Grenfell, [B_051] HIBEH)
seek P. Magd. work(s) by:
Jouget and Lefebvre;
"P Magd. Deuxieme
Serie", p. 205. A collection of Greek Papyri.
Also note: P. Magd.
2, 4, 6 from the reign of Euergetes.
(as per E. G. Turner) P. Magd. = P. Lille ii.
AKA Medinet Nehas.
“In the case of the fragments of
P. Magdalen 17, these
steps are
described in the beginning of Colin
Roberts's first publication
of the fragments (HTR 46, 1953). A sound basis in method is
crucial to the further exercise of
critical thought.”
"Papyrus Magdalen Greek 17
(Gregory-Aland {P}64 ):
A Reappraisal," appears in Vol.
105 of ZPE.
pp. 13-20, and Plate IX.
MAGIC: [heka] (AE, Coptic, Greek, Jewish…) remnants
abracadabra an old AE word
See ALCHEMY; praxis; harris mag.; paracelsus; schemhamphoras; HERMES
[B_464=O_033,rvw]
Chicago, 1986.
Translations of Greek, Coptic and Demotic as gleaned from Papyri graecae magicae, 2nd edition and including fifty added items.
http://www.bbc.co.uk/history/ancient/egyptians/magic_01.shtml
MAHAVIRA: (Indian) Mathematician
See similarities to AE efforts.
http://www-groups.dcs.st-and.ac.uk/~history/References/Mahavira.html
See work of RAMANUJAN.
(see this post to HM by M. Gardner)
http://sunsite.utk.edu/math_archives/.http/hypermail/historia/dec99/0236.html
MAHGAR DENDERA 2: Archaeological AE site
(as per S. Hendrickx, EEF)
Available text:
By Hendrickx, S.; Midant-Reynes, B. & Van Neer, W..
“Mahgar Dendera 2 (Haute Egypte), un site d'occupation Badarien.”
Egyptian Prehistory Monographs 3. Leuven: Leuven University Press, 2001.
ISBN 90 5867 163 1, 21 x 29,5 cm, 112 pgs. + 56 pl. + 1 map. 20
To be ordered from: Leuven University Press, Blijde Inkomststraat 5,
B-3000 Leuven, Belgium.
Email: universitypress@upers.kuleuven.ac.be.
http://www.kuleuven.ac.be/upers
The site of Mahgar Dendera 2, in Upper Egypt, is the only new Badarian site excavated for over 50 years. It features a seasonal campsite, dating to about 4100 BC. The faunal remains indicate that people arrived at the site with their flocks at the moment when the Nile was low. Because the site is located close to the Nile, this allowed them to herd their animals when grazing possibilities became scarce in the vicinity of the permanent settlement.
Furthermore, they were fishing, probably in the main channel of the Nile. The site was left when the Nile started to rise, and the flooded zones became fordable and work in the fields started again.
The lithic material represents a specialised industry, apparently orientated towards working perishable materials such as wood and reed. Pottery was not produced at the site itself and served largely for storage purposes. The occupation features consist of hearths, post holes and storage holes. As an important part of the site was already destroyed at the time of the salvage excavation, it was impossible to identify well defined constructions. This volume contains the final excavation report, illustrated by a large number of drawings and photo's. (text in French with English summary)
MAIHERPI: BOTD
(as per EEF;
V. Solkin; 090103)
<snip>..the Book of the Dead
of Maiherpri, a child of
Royal nursery and royal fan-bearer, found in his tomb in the Valley of the
Kings (KV36) in 1899 by Loret.
Reign of Thutmosis IV. (See Reeves N.,
Wilkinson R. The Complete Valley of the Kings. - London, 1996, pp. 179-181).
MALLET [Dominique]: author/ AE papyrus
NO CATNYP
(as per Lange) P. Mallet in Louvre.
See work by Gaston Maspero.
[B_405,rvw] CATNYP# *OBKG (Mallet, D. Culte de Neit a Sais)
“La Culte de Neit a Sais.”
By Dominique Mallet, Paris, E. Leroux, 1888.
[F] Maspero, G., Le Papyrus Mallet, Recueil de travaux rélatifs à la philologie
et à l'archéologie égyptiennes et assyriennes 1 (1870), pp. 47-59.
http://132.229.190.79/dmd/bibliography.htm#F
MALTA: World’s oldest Temples at?
(052698) Joan Marler — “The Temples of Malta and the Megalithic Traditions of Western Europe” The temples of Malta, dating from the fourth millennium, B.C. are the oldest freestanding megalithic monuments in the world. Since their discovery, there has been a great deal of bizarre speculation as well as reputable research concerning their origin, construction and ritual function within prehistoric Maltese society.
http://www.serpentina.com/goddessalive/classes.html
http://www.bradshawfoundation.com/malta/tarxien4.html
http://www.bradshawfoundation.com/malta/hagar-qim3.html
http://www.bradshawfoundation.com/unambal/
The remains of the Mnajdra Temples lie at the foot of the hill on which
are located the temples of Hagar Qim. Mnajdra was first cleared of debris
by C. Lenormant in 1840. T. Ashby excavated the remaining intact parts in
1910. Further remains came to light during the conservation and restoration
works that the Museum Department undertook between 1952 and 1954. The small
temple was the first to be built, and the middle one the last. The site dates
from 3,600-2,500 BCE.
http://www.searchmalta.com/ezine/mnajdra/
MANCHESTER: University
See RYLANDS;
[B_093].
MANETHO: (Greek) Author
(as per EEF; T. Sagrillo)
There
are also 2 Arabic extracts of Manetho:
1 from Muhammad al-Biruni (var. al-Bayruni; AH 362-442/973-1048 CE), and 1
from Taqi al-Din al-Maqrizi (AH 767-846/1364-1442 CE); al-Maqrizi's extract
is a quote of al-Biruni's, with slight differences. (NB: al-Biruni was a Persian-speaking
Uzbeki, but wrote in Arabic)
However, neither al-Biruni nor al-Maqrizi give the Manethonic quotecontained in `Abd al-Latif.Sources:al-Biruni al-Khwarizmi, abu al-Rayhan Muhammad ibn Ahmad, and C. Eduard Sachau1878 Chronologie orientalischer Völker von Albêrûnî. Leipzig: F. A.Brockaus. (Reprinted Leipzig: Otto Harrassowitz, 1923). Arabic text, pp90-911879 The Chronology of Ancient Nations; An English Version of theArabic Text of the Athâr-ul-Bâkiya of Albîrûnî, or, “Vestiges of the Past,”Collected and Reduced to Writing by the Author in A. H. 390-1, A. D. 1000.Translated by C. Eduard Sachau. London: Oriental Translation Fund of GreatBritian and Ireland. (Reprinted Frankfurt: Minerva GmbH, 1969). Englishtranslation, p 102al-Maqrizi, Taqi al-Din Ahmad ibn `Ali ibn `Abd al-Qadir ibn Muhammad, andGaston Wiet1922 el-Mawâ`iz wa'l-I`tibâr fî dhikr el-khitat wa'l-âthâr. Volume 3:Deuxième partie, chapt. I-XLIX. Mémoires publiés par les membres del'Institut français d'archéologie orientale du Caire 46. Cairo: Imprimeriede l'Institut français d¹archéologie orientale du Caire. Arabic text withFrench editorial footnotes, pp 65-70
MANICHAEAN: (Greek) codex
(as per E. G. Turner) From the Chester
Beatty collection, this Greek codex includes portions of Genesis;
Gospels; Acts and Enoch.
MAPQUEST: to help you get there
MARBURG
MARESHA: (Aramaic) ostracon
[R_006;HOUSE,NO CATNYP]
“Measuring and Weighing in Ancient Times.”
Published: Haifa, Israel,
2001 by the Reuben and Edith Hecht Museum.
See page 26 [Hebrew] showing a marriage agreement [Kettuva]
from the Hellenistic period of the Edomite community of Maresha ~176 BCE.
MARI: (cuneiform) tablets
Several thousand tablets were found
at Mari, on the
River Euphrates, from 1933 onwards. These describe customs and give common
names for both individuals and cities of the period in question. The term
Habiru appears again in this archive. In OC terms, they date from the period of Zimri-Lin,
around 1700 BCE. The Babylonian ruler Hammurabi sacked the
city. Hammurabi's reign
is redated to 1565-1522 BCE in the NC.
Since he sacked Mari, the archive's date can be set in the region 1650-1500
BCE.
http://www.abbottfamily.clara.co.uk/patriarchscontext.htm
MARIETTE: (Author); papyrus
Auguste Mariette 1821-1881.
(as per ZAS, index#
0492) Seek “Notiz uber die Todtengesprache des Papyrus Mariette”, ZAS 6, 1868.
[B_161,IMG,8.5’s and OS]
CATNYP# *OBL+++(Mariette,
A. E. Serapeum de Memphis),
“(Le)
Serapeum de Memphis, decouvert et decrit par A. Mariette
Conservateur-Adjoint
au Musee Imperial du Louvre
Membre de la Societe Imperiale des Antiquaires
de France,
Associe-correspondant
de
l’Academie Royale des Sciences de Turin
Ouvrage
dedie A S. A. I. Mgr Le Prince Napoleon
Et
publie sous les auspices
De
S. E. M. Achille Fould
Ministre
d’Etat
Paris
Gide,
Libraire-Editeur
5,
Rue Bonaparte
1857.”
This text is an contains extensive
desription with French translations of the many fabulous items first uncovered
at the Serapeum.
[B_255,8.5’s and OS2] CATNYP#
*OBM+(Mariette, Mastaba de l’ancien empire),
Les
mastaba
de
l’ancien empire
fragment du dernier ouvrage
de
A.
Mariette
publiee
d’apres le manuscrit de l’auteur
par
G.
Maspero
Professeur
au College de France, Directeur General des Musees Egypte
Livraison
Paris
F.
Vieweg, Libraire-Editeur
67,
Rue de Richelieu, 67
1884[-5]
Handwritten
script, French text with detailed descriptions.
Discussions
of Abbott papyrus.
Carefully
prepared plans of tombs showing alignments (compass).
Carefully
prepared glyph sketches.
See [B_149]
p.12 error.
Error was not resolved by this [Marriette’s] text.
MARMARICA: (Greek) papyri
(as per E. G. Turner) Il papiro vaticano greco II, ed. M. Norsa
and G. Vitelli, Citta del Vaticano, 1931.
P.Marm.: Il papiro vaticano greco 11
P.Marm. v.: (Greek; AD 190; Marmarica)
http://perseus.csad.ox.ac.uk/cgi-bin/ptext?doc=Perseus%3Atext%3A1999.05.0156
Math content is minor.
MARRIAGE: do it once, do it right
http://jnul.huji.ac.il/dl/ketubbot/
See KETTUBAH; jews from about 1000 ce
MARSA MATROUH: discoveries near
http://www.uk.sis.gov.eg/online/html3/o200121u.htm
MASADA: (Hebrew ; Aramaic; Greek and Latin) Manuscripts;
fragments
From (near) Herod’s mountain fortress
See QUMRAN.
Texts discovered during the excavation of the fortress, including Hebrew and Aramaic ostraca and fragments of Latin papyri, several biblical texts, a Hebrew manuscript of Ben Sira, a copy of Songs of the Sabbath Sacrifice, a composition also known from Qumran, many fragments of Hebrew, Aramaic, Greek and Latin. Not all of this collection has been published.
http://home.flash.net/~hoselton/deadsea/deadsea.htm
See YADIN.
MASPERO: (Author); papyrus
Sir Gaston Camille Charles Maspero
1846-1916.
[B_083,rvw] CATNYP# *OBH (Cordier, H. Bibliographie
des oeuvres de Gaston Maspero), "Bibliographie
des oeuvres de Gaston Maspero...",
Paris, 1922.
(as per H.O. Lange) seek Maspero's
Guide to the Cairo Museum 3rd edition,
1906.
See BULAQ; CAIRO and LOUVRE.
(as per LEX) see P. Maspero=CG 67001-67539.
[B_309,HOUSE,IMG]
CATNYP# 3-MAF (Maspero, G. C. C. Ars-Una species mille)
My rare house copy is in German, titled:
“Geschichte der Kunst in Aegypten”
Stuttgart, 1913.
http://www.egyptologues.net/chaire/maspero.htm
MATH: prior to 1601 [and after Guttenberg’s invention]
[B_253,8.5’s,IMG,RARE] CATNYP# *KAB (Smith, D. E. Rara Arithmetica)
“Rara Arithmetica; a catalogue of the arithmetics written before the year MDCI, with a description of those in the library of George Arthvr Plimpton, of New York, by David Eugene Smith…[D. E. Smith, 1860-1944]”
Boston, London, Ginn and company, 1908. [2 Volumes].
This looks like fun. It is!
With images of the cover pages of rarer texts.
Special permission required. Access 6/2/01.
John Rathe is the resident expert [Curator?].
J. Rathe usually available 10 am – 6 pm.
See Galley division method.
See references to the Plimpton Library.
See references to the Manuscript of Boethius circa 1294.
Volume one, P. 56, Gelosia multiplication by Paciuolo; 1494.
Volume one, P. 56, Finger Symbolism by Paciuolo; 1494.
See the 1507 “Algorithmus”
See the 1551 Euclid; “Euclidis elementorum”
See the 1556 Boissiere.
See Boissiere’s “Rythmomachia”.
See 1559 “Libri vnvs et triginta” by Ramus.
See 1569 Mercado.
See Thomas Masterson’s 1592 text.
Reference to the Dogomari Manuscript.
See the work of Benedetto de Firenze [Florence].
Volume one, P. 82, Margarita Philosophica; plate B and A
Volume two is more of the math goodies from 1500-1601 with little useful content or analysis of the math but excellent clarification of the source’s locations.
This has been reprinted and is available for US$60.
Contact Oak Knoll Books (Delaware)
Phone: 302 328 7232
See Plimpton 322, cuneiform pythagorean triples.
See this link by Kim R. W. Zahrt:
http://www.iusb.edu/~journal/2000/zahrt.html
See this
fascinating compilation of number texts:
http://phrontistery.50megs.com/nnsbib.html
and home
page supreme:
http://phrontistery.50megs.com/index.html
(as per L.
Bailey) See:
“Histoire
de fractions, fractions d’histoire.” In
Science Networks
Historical Studies, volume 10.
Boston: Birkhauser
Verlag, 1992 NO CATNYP.
See also
[B_334,rvw]
[B_334,rvw,SIBL] CATNYP# *R-Science
QA21 .B767 1989
Carl Benjamin
Boyer [1906-?]
“A history
of Mathematics / Carl B. Boyer ; revised by Uta C. Merzbach.”
NY, Wiley,
c1989.
[B_335,rvw] CATNYP# JSE
91-2418
William Dunham,
[1947-]
“Journey through genius : the great theorems of mathematics
/ William Dunham.” NY: Wiley, c1990.
[B_335b,8.5,LB]
NO CATNYP.
David
Eppstein: “Ten Algorithms for Egyptian Fractions.”
Mathematica
in Education and Research, vol. 4, no. 2, (1995)
Note: There is almost nothing ancient or Egyptian about this work.
The results offered in no way can be used to generate the Rhind 2/n table.
[B_336,rvw,SIBL] CATNYP#
OFA (Gillain, O. Science egyptienne)
“La
science egyptienne; l’arithmetique au moyen empire.[AEME]
Avec
une preface de H. Bosmans, S. J.”
Bruxelles, [Edition
de la] Fondatation egyptologique reine Elisabeth, 1927.
Pages 245-250 and bibliography on file.
Numerous circular references and this:
1. Aben-Ezra, Sepher ha-mmispar, ecrit a Rodez en 1156.
2. Thureau-Dangin, Numeration et Metrologie sumeriennes.
In: Revue d’Assyriologie, XVIII, 1921, p. 123.
[B_336b,rvw]
Hurd, Spencer
P., “Egyptian Fractions: Ahmes to Fibonacci to Today.”
Mathematics Teacher [NO CATNYP], vol. 84, no. 7, (October 1991),: p. 561-568.
[B_337,rvw,LB,SIBL] CATNYP# OEC (Neugebauer, O. Exact Sciences in antiquity. 1951)
Otto Neugebauer,
[1899-?]
“The exact
sciences in antiquity.”
Copenhagen, E. Munksgaard; Princeton N.J., Princeton University Press, 1951.
See also:
[B_337b,rvw] Parker, Richard A., “Demotic Mathematical Papyri”
Providence,
Brown University Press, 1972.
[B_338,rvw,LB] CATNYP# Sc
913.32-H
John Richard
Harris, editor.
“The legacy
of Egypt; edited by J. R. Harris. Second edition.”
Oxford, Clarendon
Press, 1971.
See “The Calendars and Chronology.”
See also [B_338b,rvw]
[B_338b,rvw] CATNYP# Sc
913.32-H
See “Mathematics
and Astronomy.” By G. J. Toomer.
[B_339,rvw] CATNYP# OAC
(American Oriental Series. V. 68)
“Labor in
the Ancient Near East / edited by Marvin A. Powell.”
New Haven
Conn., OAS, 1987.
See also [B_342a,rvw,LB] also by Marvin Powell.
[B_342a,rvw,LB] CATNYP#
*O-*OAL+ 95-5473
“Civilizations of the Ancient Near East
/ Jack M. Sasson, editor in chief.”
Article: “Metrology and Mathematics in Ancient Mesopotamia.” By Marvin Powell.
In: Civilizations of the Ancient Near East, vol. 3. Edited by Jack M. Sasson.”
NY, Charles Scribner’s Sons, 1995.
See also:
[B_342b,rvw,LB] by Gay Robins.
“Mathematics, Astronomy, and Calendars
in Pharonic Egypt.”
In: Civilizations of the Ancient Near East, vol. 3. Edited by Jack M. Sasson.”
NY, Charles Scribner’s Sons, 1995.
See also:
[B_342c,rvw,LB] by Francesca Rochberg.
“Astronomy and Calendars in Ancient
Mesopotamia.”
In: Civilizations of the Ancient Near East, vol. 3. Edited by Jack M. Sasson.”
NY, Charles Scribner’s Sons, 1995.
[B_343,rvw,] CATNYP#
JSE 99-1817
“The Babylonian theory of the planets
/ N. M. Swerdlow.”
Princeton, N. J., c1998.
See also [B_343b,rvw,LB]
[B_343b,rvw,LB] NO CATNYP
Noel M. Swerdlow
“Ancient
Astronomy and Celestial Divination.”
Cambridge:
The MIT Press, 1999.
See [B_344] SCIENCE AWAKENING,
B. L. Van der Waerden.
See also
[unassigned]; NO CATNYP!:
“Vorgreichische Mathematik I: Vorgeschichte
und Agypten. Mathematische Studienhefte fur den mathematischen Unterricht
an Hoheren Schulen, book 1. Edited by H. Athen and G. Wolff.”
Hannover: Herman Schroedel Verlag,
1958.
[B_345,rvw] CATNYP#
OAA 72-689 Bd. 20
“Karl Richard Lepsius (1810-1884) : Akten der Tagung seines 100. Todestages,
10.-12.7.1984 in Halle / herausgegeben von Elke Freier und Walter F. Reineke.”
Berlin, Akademie-Verlag,
1988.
See also
unassigned:
“Karl Richard Lepsius (1810-1884) Begrunder der Agyptologie in Deutschland.”
By Erika Endesfelder.
See also
unassigned:
“Lepsius, le disciple
inspire.”
By Dietrich
Wildung.
[B_352,8.5;IMG] CATNYP# OAA (Societe Asiatique. Journal asiatique)
“Journal Asiatique.”
Paris [1822-?].
See article(s) by Rodet
in: [7TH SERIES,TOME 18, 1881]
“Journal Asiatique
de RECUEIL DE MEMOIRES D’EXTRAITS ET DE NOTICES RELATIFS A L’HISTOIRE, A LA
PHILOSOPHIE, AUX LANGUES ET A LA LITTERATURE DES PEUPLES ORIENTAUX. REDIGE
PAR MM. BARBIER DE MAYNARD, CHERBONNEAU, CLERMONT-GANNEAU, DEFREMERY, J. DERENBOURG,
DULAURIER, FEER, FOUCAUX, GUYARD, HALEVY, OPPERT, REGNIER, RENAN, SANGUINETTI,
E. SENART, ETC.
ET
PUBLIE PAR LA SOCIETE ASIATIQUE
Septieme
serie
Tome
XVIII
Paris
Imprime
par autorisation de M. le Garde des Scraux
A
L’IMPRIMERIE NATIONALE
M
DCCC LXXXI.”
Article “Les Pretendus problemes
d’algebre.”
Shows RMP workings.
Works of Aben-Ezra
Works of [Mohammed ibn Musa al-Khowarizmi] AKA Al-Kharizmi;
see Mokhraj.[LCD]. See text: “Al-Jabr wal-Muqabalah.”
See also:
ASAW=Abhandlungen der Sächsischen Akademie
der Wissenschaften zu Leipzig (Berlin) [B_358a]
Note that
Ahmes is called Ahmesu and Aahmesu.
[B_353,8.5,SIBL] CATNYP# OAC (Rey, A., Science dans l’antiquite)
“La science dans l’antiquite.”
Paris, 1930-48. Abel Rey.
(Pages 201-304 and bibliography on file.)
P. 201-287: “La Mathematique Egytienne.”
P. 288-304: “l’Astronomie Egyptienne.”
Five volumes.
Discussions
of:
AKHMIM,