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to the English translation of Lagrange's Mecanique Analytique
Lagrange's Mecanique Analytique appeared early in 1788 almost
exactly one cen- tury after the publication of Newton's Principia
Mathematica. It marked the culmination of a line of research
devoted to recasting Newton's synthetic, geomet- ric methods in the
analytic style of the Leibnizian calculus. Its sources extended
well beyond the physics of central forces set forth in the
Principia. Continental au- thors such as Jakob Bernoulli, Daniel
Bernoulli, Leonhard Euler, Alexis Clairaut and Jean d'Alembert had
developed new concepts and methods to investigate problems in
constrained interaction, fluid flow, elasticity, strength of
materials and the operation of machines. The Mecanique Analytique
was a remarkable work of compilation that became a fundamental
reference for subsequent research in exact science. During the
eighteenth century there was a considerable emphasis on extending
the domain of analysis and algorithmic calculation, on reducing the
dependence of advanced mathematics on geometrical intuition and
diagrammatic aids. The analytical style that characterizes the
Mecanique Analytique was evident in La- grange's original
derivation in 1755 of the 8-algorithm in the calculus of
variations. It was expressed in his consistent attempts during the
1770s to prove theorems of mathematics and mechanics that had
previously been obtained synthetically. The scope and
distinctiveness of his 1788 treatise are evident if one compares it
with an earlier work of similar outlook, Euler's Mechanica sive
Motus Scientia Analyt- 1 ice Exposita of 1736.
Unlike some other reproductions of classic texts (1) We have not
used OCR(Optical Character Recognition), as this leads to bad
quality books with introduced typos. (2) In books where there are
images such as portraits, maps, sketches etc We have endeavoured to
keep the quality of these images, so they represent accurately the
original artefact. Although occasionally there may be certain
imperfections with these old texts, we feel they deserve to be made
available for future generations to enjoy.
Unlike some other reproductions of classic texts (1) We have not
used OCR(Optical Character Recognition), as this leads to bad
quality books with introduced typos. (2) In books where there are
images such as portraits, maps, sketches etc We have endeavoured to
keep the quality of these images, so they represent accurately the
original artefact. Although occasionally there may be certain
imperfections with these old texts, we feel they deserve to be made
available for future generations to enjoy.
Originally published between 1920-70,The History of Civilization
was a landmark in early twentieth century publishing. It was
published at a formative time within the social sciences, and
during a period of decisive historical discovery. The aim of the
general editor, C.K. Ogden, was to summarize the most up to date
findings and theories of historians, anthropologists,
archaeologists and sociologists. This reprinted material is
available as a set or in the following groupings: * Prehistory and
Historical Ethnography Set of 12: 0-415-15611-4: GBP800.00 * Greek
Civilization Set of 7: 0-415-15612-2: GBP450.00 * Roman
Civilization Set of 6: 0-415-15613-0: GBP400.00 * Eastern
Civilizations Set of 10: 0-415-15614-9: GBP650.00 *
Judaeo-Christian Civilization Set of 4: 0-415-15615-7: GBP250.00 *
European Civilization Set of 11: 0-415-15616-5: GBP700.00
This is an attempt to construct an ordered synthesis of the
evolution of labor in Christian Europe during the Middle Ages. Its
aim is not only to analyze the variations in the legal status of
persons and of lands, but above all to set the working classes in
the historical framework in which they lived, to trace the
reciprocal action of political and social institutions, of
exchange, of industrial and agricultural production, of the
colonization of the soil, of the distribution of landed and movable
wealth, upon those economic transformations which brought about the
appearance of new forms of labor and gave to the masses a place in
society which they had never hitherto occupied.
Originally published between 1920-70, the aim of the general
editor, C.K. Ogden, was to summarize the most up-to-date findings
and theories of historians, anthropologists, archaeologists and
sociologists. This reprinted material is available as a set or in
the following groupings: "Prehistory and Historical Ethnography"
set of 12: 0-415-15611-4 (u800); "Greek Civilization" set of 7:
0-415-15612-2 (u450); "Roman Civilization" set of 6: 0-415-15613-0
(u400); "Eastern Civilizations" set of 10: 0-415-15614-9 (u650);
"Judaeo-Christian Civilization" set of 4: 0-415-15615-7: (u250);
"European Civilization" set of 11: 0-415-15616-5 (u700).
to the English translation of Lagrange's Mecanique Analytique
Lagrange's Mecanique Analytique appeared early in 1788 almost
exactly one cen- tury after the publication of Newton's Principia
Mathematica. It marked the culmination of a line of research
devoted to recasting Newton's synthetic, geomet- ric methods in the
analytic style of the Leibnizian calculus. Its sources extended
well beyond the physics of central forces set forth in the
Principia. Continental au- thors such as Jakob Bernoulli, Daniel
Bernoulli, Leonhard Euler, Alexis Clairaut and Jean d'Alembert had
developed new concepts and methods to investigate problems in
constrained interaction, fluid flow, elasticity, strength of
materials and the operation of machines. The Mecanique Analytique
was a remarkable work of compilation that became a fundamental
reference for subsequent research in exact science. During the
eighteenth century there was a considerable emphasis on extending
the domain of analysis and algorithmic calculation, on reducing the
dependence of advanced mathematics on geometrical intuition and
diagrammatic aids. The analytical style that characterizes the
Mecanique Analytique was evident in La- grange's original
derivation in 1755 of the 8-algorithm in the calculus of
variations. It was expressed in his consistent attempts during the
1770s to prove theorems of mathematics and mechanics that had
previously been obtained synthetically. The scope and
distinctiveness of his 1788 treatise are evident if one compares it
with an earlier work of similar outlook, Euler's Mechanica sive
Motus Scientia Analyt- 1 ice Exposita of 1736.
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