Memoirs of the Analytical Society

By the end of the eighteenth century, British mathematics had been stuck in a rut for a hundred years. Calculus was still taught in the style of Newton, with no recognition of the great advances made in continental Europe. The examination system at Cambridge even mandated the use of Newtonian notation. As discontented undergraduates, Charles Babbage (1791–1871) and John Herschel (1792–1871) formed the Analytical Society in 1811. The group, including William Whewell and George Peacock, sought to promote the new continental mathematics. Babbage's preface to the present work, first published in 1813, may be considered the movement's manifesto. He provided the first paper here, and Herschel the two others. Although the group was relatively short-lived, its ideas took root as its erstwhile members rose to prominence. As the society's sole publication, this remains a significant text in the history of British mathematics.

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Memoirs of the Analytical Society

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Contents

Frontmatter
pp i-ii

Contents
pp iii-iv

PREFACE
pp v-xxiii

ERRATA
pp xxiv-xxiv

MEMOIR I - On CONTINUED PRODUCTS
pp 1-32

MEMOIR II - 1. On TRIGONOMETRICAL SERIES; particularly those whose Terms are multiplied by the Tangents, Cotangents, Secants, &c. of Quantities in Arithmetic Progression; together with some singular Transformations
pp 33-46

2. NOTES, relating to a variety of subjects connected with the preceding Memoir
pp 47-64

MEMOIR III - On EQUATIONS of DIFFERENCES, and their Application to the Determination of Functions from given Conditions

PART I - General Theory of Equations of Differences of the first degree involving one variable only
pp 65-83

PART II - On the Integration of certain particular Equations of Differences
pp 84-95

PART III - On Functional Equations
pp 96-114

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