By Felix R. Gantmacher

This treatise, by way of one among Russia's major mathematicians, offers in simply available shape a coherent account of matrix concept for you to functions in arithmetic, theoretical physics, information, electric engineering, and so forth. the person chapters were stored so far as attainable self sustaining of one another, in order that the reader conversant in the contents of bankruptcy 1 can continue instantly to the chapters of unique curiosity. earlier, a lot of the fabric has been to be had in basic terms within the periodical literature.

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The latest estimate, by E. A. Wrigley ('A Simple Model of London's importance ... 1650-175°', in Past and Present, July 1967), is considerably lower (575,000) than the usually accepted figure of M. Dorothy George (674,5°0) in London Life in the Eighteenth Century (1925: Penguin ed. 1966), pp. 37, 319. 5. I follow the estimates in Deane and Cole, p. 103. 6. Norfolk, Suffolk and Essex. 7. Deane and Cole, p. 103· 8. e. the families of lay peers and baronets, knights, esquires and' gentlemen'. 9. For a realistic yardstick of professional status see E.

Pp. 14-35, 44, 81. 21. See R. E. Scouller, The Armies of Queen Anne (1966), pp. 42-3; Hughes, in Durham Univ. , xliv (1951), 217, 222; J. H. Plumb, The Growth of Political Stability in England 1675-1725 (1967), p. II6. 22. For the most important new committees of all, the Cabinet Council and its offshoot, the Lords of the Committee, see, however, pp. 49-51 below. 23. See G. S. Holmes, 'The Attack on "the Influence of the Crown", 170216', in BIHR xxxix (1966). 24. See pp. 45, 119-20 below. 25. On the growth of the electorate see J.

85. See p. 152 below. 86. Davis, English Shipping Industry, p. 69. 87. Pressure of space compels us to beg the vital and contentious question of whether the profitability of colonies to the home economy has not been greatly exaggerated. For a recent view, which would seem to reinforce Adam Smith's doubts of the eighteenth century, see R. P. , xxi (1968). 88. P. Geyl, The Netherlands ill the SeVenteenth Century: II 1648-1715 (1964), p. 341; C. Wilson, Anglo-Dutch Commerce and Finance in/he Eighteenth Century (1941).

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