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.