his lineage, life, and times, with a history of the invention of logarithms

with a notice of its early history in the East, and in all the quarters of the globe : a description of the great mechanical inventions, which have caused its unexampled extension in Britain : and a view of the present state of the manufacture and the condition of the classes engaged in its several departments

with improvements in the practice of Sturm's theorem, in the theory of curvature, and in the summation of infinite series

containing differentiation, integration, development, series, differential equations, differences, summation, equations of differences, calculus of variations, definite integrals, - with applications to algebra, plane geometry, solid geometry, and mechanics : also elementary illustrations of the differential and integral calculus

with remarks on warming, exclusive lighting, and the communication of sound

or, a new method of transplanting forest trees

containing the chemistry, history and right application of all brewing ingredients and products; a full exposition of the newly discovered principles of conversion and extraction in the mash-tun; the philosophy of climate season, and site; critiques on the modus operandi of fermentation, and the effectual prevention of acidity; also, many new practical observations on brewing London and Dublin Porter, East India Pale Ale, export stout, &c. &c

being brief notices of a large number of works drawn up from actual inspection

as communicated by Professor Naumann to Sir Roderick Murchison