KARL GUSTAV See also:

• JACOB
• JACOB, JOHN (1812-1858)

JACOB See also:

• JACOBI, FRIEDRICH HEINRICH (1743-1819)
• JACOBI, JOHANN GEORG (1740-1814)
• KARL GUSTAV JACOB JACOBI (1804-1851)

JACOBI (1804-1851)  , See also:

• GERMAN
• GERMAN, DUTCH AND SCANDINAVIAN

German mathematician, was See also:

• BORN, IGNAZ, EDLER VON (1742–1791)

born at See also:

• POTSDAM

Potsdam, of Jewish parentage, on the loth of See also:

• DECEMBER (Lat. decent, ten)

December 1804 . He studied at See also:

• BERLIN
• BERLIN, CONGRESS AND TREATY OF
• BERLIN, ISAIAH (1725–1799)

Berlin University, where he obtained the degree of See also:

• DOCTOR (Lat. for " teacher ")

doctor of See also:

• PHILOSOPHY (Gr. gthos, fond of, and vo4 (a, wisdom)

philosophy in 1825, his thesis being an See also:

• ANALYTICAL

analytical discussion of the theory of fractions . In 1827 he became extraordinary and in 1829 See also:

• ORDINARY (med. Lat. ordinarius, Fr. ordinaire)

ordinary See also:

• PROFESSOR (the Latin noun formed from the verb profiteri, to declare publicly, to acknowledge, profess)

professor of See also:

• MATHEMATICS (Gr. /saBnµar1Kil, Sc. vOcvn or E7rlQTt'µn; from p iN.La, "learning" or "science ")

mathematics at See also:

• KONIGSBERG (Polish Krolewiec)

Konigsberg, and this See also:

• CHAIR (in. Mid. Eng. chcere, through O. Fr. chaire or chaiere, from Lat. cathedra, later caledra, Gr. xaOi3pa, seat, cf. "cathedral"; the modern Fr. form chaise, a chair, has been adopted in English with a particular meaning as a form of carriage; chaire

chair he filled till 1842, when he visited See also:

• ITALY
• ITALY (Italia)

Italy for a few months to recruit his See also:

• HEALTH

health . On his return he removed to Berlin, where he lived as a royal pensioner till his See also:

• DEATH

death, which occurred on the 18th of See also:

• FEBRUARY

February 1851 . His investigations in elliptic functions, the theory of which he established upon quite a new basis, and more particularly his development of the theta-See also:

• FUNCTION

function, as given in his See also:

• GREAT

great See also:

• TREATISE

treatise Fundamenta nova theoriae functionum ellipticarum (Konigsberg, 1829), and in later papers in Crelle's See also:

• JOURNAL
• JOURNAL (through Fr. from late Lat. diurnalis, daily)

Journal, constitute his grandest analytical discoveries . Second in importance only to these are his researches in See also:

• DIFFERENTIAL

differential equations, notably the theory of the last multiplier, which is fully treated in his Vorlesungen fiber Dynamik, edited by R . F . A . Clebsch (Berlin, 1866) . It was in analytical development that See also:

• JACOBI, FRIEDRICH HEINRICH (1743-1819)
• JACOBI, JOHANN GEORG (1740-1814)
• JACOBI, KARL GUSTAV JACOB (1804-1851)

Jacobi's See also:

• PECULIAR

peculiar See also:

• POWER [WILLIAM GRATTAN] TYRONE (1797-1841)

power mainly See also:

• LAY

lay, and he made many important contributions of this See also:

• KIND (O. E. ge-cynde, from the same root as is seen in " kin," supra)

kind to other departments of mathematics, as a glance at the See also:

• LONG, GEORGE (1800-1879)
• LONG, JOHN DAVIS (1838– )

long See also:

• LIST (O.E. lisle, a Teutonic word, cf. Dut. lust, Ger. Leiste, adapted in Ital. lista and Fr. lisle)
• LIST, FRIEDRICH (1789-1846)

list of papers that were published by him in Crelle's Journal and elsewhere from 1826 onwards will sufficiently indicate . He was one of the See also:

• EARLY
• EARLY, JUBAL ANDERSON (1816-1894)

early founders of the theory of determinants; in particular, he invented the functional See also:

• DETERMINANT

determinant formed of the n' differential coefficients of n given functions of n See also:

• INDEPENDENT

independent variables, which now bears his name (Jacobian), and which has played an important See also:

• PART

part in many analytical investigations (see ALGEBRAIC FORMS) . Valuable also are his papers on Abelian transcendents, and his investigations in the theory of See also:

• NUMBERS, BOOK OF
• NUMBERS, PARTITION OF

numbers, in which latter See also:

• DEPARTMENT (Fr. departement, from departir, to separate into parts)

department he mainly supplements the labours of K .

F . See also:

• GAUSS, KARL FRIEDRICH (1777-1855)

Gauss . The planetary theory and other particular dynamical problems likewise occupied his See also:

• ATTENTION (from Lat. ad-tendo, await, expect; the condition of being " stretched " or " tense ")

attention from See also:

• TIME (0. Eng. Lima, cf. Icel. timi, Swed. timme, hour, Dan. time; from the root also seen in " tide," properly the time of between the flow and ebb of the sea, cf. O. Eng. getidan, to happen, " even-tide," &c.; it is not directly related to Lat. tempus)
• TIME, MEASUREMENT OF
• TIME, STANDARD

time to time . He See also:

• LEFT

left a vast See also:

• STORE (from O. Fr. estor or estoire, Late Lat. staurum or instaurum, stock, provisions, supply, from the late use of instaurare, to provide, properly to construct, renew, restore)

store of See also:

• MANUSCRIPT

manuscript, portions of which have been published at intervals in Crelle's Journal . His other See also:

• WORKS

works include Commentatio de transformatione integralis duplicis indefiniti in formam simpliciorem (1832), See also:

• CANON

Canon arithmeticus (1839), and Opuscula mathematica (1846–1857) . His Gesammelte Werke (1881–1891) were published by the Berlin See also:

• ACADEMY, GREEK
• ACADEMY, ROYAL

Academy . See See also:

• LEJEUNE, LOUIS FRANCOIS, BARON (1776-1848)

Lejeune-Dirichiet, Gedachtnisrede auf Jacobi " in the Abhandlungen der Berliner Akademie (1852) .