MATHORIGINS.COM_M

 

Home | Color Guide | Abbreviation Guide | Personal Library Master key | Usage Guide | Thank You A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W-X | Y-Z  

Last updated 12/25/05

 

 

See images and analysis of ancient mathematical objects: IMAGE GRID

 

MAA: association

Follow this link to the MAA, The Mathematical Association of America.

http://www.maa.org/

 

 

MAES: Manchester Ancient Egypt Society

http://www.maes.org.uk/

 

 

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.”

http://ccat.sas.upenn.edu/~petersig/thiede2.txt

 

"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]

CATNYP# *OBKQ 90-1286 Vol. 1.

BOBST# BF1622.G8 G74 1986

“The Greek magical papyri in translation, including the Demotic spells / edited by Hans Dieter Betz.”

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.

P. Mallet = P. Louvre E 11006. Probably not from Deir el-Medîna, but elsewhere in Thebes. For photograph and transcription, see A. el-M. Bakir, Eg. Epistolography, Le Caire, 1970 (= Bibliothèque d'étude, 48), Pl. 21-23 and XXVII-XXX.

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

 

[via GOOGLE search of megalthic+malta]

http://www.bradshawfoundation.com/malta/tarxien4.html

http://www.bradshawfoundation.com/malta/hagar-qim3.html

 

See above: spirals and dots! Nice spacing; any radii? See MNAJDRA

http://www.bradshawfoundation.com/unambal/

 

New:

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/

 

http://www.heritagemalta.org/archaeologymuseum.html

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)

Both extracts basically start with Dynasty 21 and list the kings through Alexander the Great, albeit in a confused manner. One rather amusing mistake is that the first king is "Dayusfulita," who is said to have reigned 178 (al-Biruni), or 78 or 88 years (al-Maqrizi). This is of course a misreading of "Diospolite."

However, neither al-Biruni nor al-Maqrizi give the Manethonic quote
contained in `Abd al-Latif.
 
Sources:
 
al-Biruni al-Khwarizmi, abu al-Rayhan Muhammad ibn Ahmad, and C. Eduard Sachau
    1878    Chronologie orientalischer Völker von Albêrûnî. Leipzig: F. A.
Brockaus. (Reprinted Leipzig: Otto Harrassowitz, 1923). Arabic text, pp
90-91
 
    1879    The Chronology of Ancient Nations; An English Version of the
Arabic 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 Great
Britian and Ireland. (Reprinted Frankfurt: Minerva GmbH, 1969). English
translation, p 102
 
al-Maqrizi, Taqi al-Din Ahmad ibn `Ali ibn `Abd al-Qadir ibn Muhammad, and
Gaston Wiet
    1922    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 de
l'Institut français d'archéologie orientale du Caire 46. Cairo: Imprimerie
de l'Institut français d¹archéologie orientale du Caire. Arabic text with
French 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.

 

 

MANSHAT EZZAT: (AE) Town

http://www.sis.gov.eg/online/html11/o260824l.htm

 

 

MAPQUEST: to help you get there

http://www.mapquest.com/

 

 

MARBURG: See IANDANAE; [O_027]

 

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 GREEK.

 

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,