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In the preface to this work, mathematician Augustus De Morgan (1806-71) claims that 'The most worthless book of a bygone day is a record worthy of preservation.' His purpose in writing this catalogue, published in 1847, was to provide an accurate record of the early history of publishing on arithmetic, but describing only those books which he had examined himself. He surveyed the library of the Royal Society, works in the British Museum, the wares of specialist booksellers, and the private collections of himself and his friends to compile a chronological list of books from 1491 to 1846 (the final book being a work of his own), giving bibliographical details, a description of the contents, and sometimes comments on the mathematics on display. De Morgan's Formal Logic and a Memoir of Augustus De Morgan by his widow are also reissued in the Cambridge Library Collection.
In this early textbook by mathematician Augustus De Morgan and first published in 1836, serious students of math will find useful lessons, explanations, and diagrams. Math and math textbooks of his time were found to be generally inaccessible to the public at large, so De Morgan, who believed that everyone should be educated in mathematics because it was so essential to science and modern life, relies on simple, straightforward, and easy-to-understand language, despite the depth of his topic. Among the areas covered here are: infinitely small quantities, infinite series, ratios of continuously increasing or decreasing quantities, and algebraical geometry.British mathematician Augustus De Morgan (1806-1871) invented the term mathematical induction. Among his many published works is Trigonometry and Double Algebra and A Budget of Paradoxes.