602 HENRY SOTHERAN & CO., 140, STRAND, W.C., AND 43, PICCADILLY, W. 



12084 MORGAN (Augustus de; F.R.A.S., Prof. Mathematics, Univ. Coll., London] On ANCIENT and 

 MODERN USAGE in RECKONING, 12mo. (pp. 30), unbound, 2s [1849] 



12085 ARITHMETICAL BOOKS, from the INVENTION of PRINTING to the PRESENT TIME : Brief 



Notices of a large Number of Works, drawn up from Actual Inspection, 8vo. cl. , uncut (scarce), 

 12s Qd 1847 



12086 ANOTHER COPY, hf. calf neat, w>th inscr. ' From the Author ' on flyleaf, 14s 



An invaluable work, cot'caining over 100 titles, with valuable critical and historical notes, copious introduction, and 

 'Index of 1580 Names of reported Authors, Editors, etc. of Works on Arithmetic'. 'Few contemporaries were as 

 profoundly read in the history of mathematics.' Prof. Cajori. 



' The most worthless book of a bygone day is a record worthy of preservation. Like a telescopic star, its obscurity may 

 render it unavailable for most purposes ; but it serves, in hands which know how to use it, to determine the places of 

 more important bodies.' Preface. 



12087 - On ARITHMETICAL COMPUTATION, 12mo. (pp. 22), unbound, Is Qd [1843] 



12088 On the BEATS of IMPERFECT CONSONANCES, with 2 diagrams, 4to. (pp. 19), sewn, 2s Qd 



Cambridge, 1858 



12089 The BOOK of ALMANACS, with INDEX of REFERENCE, by which the Almanac may be 



found for every Year, whether in Old Style or New, from any Epoch, ancient or modern, to 

 A.D. 2000, with Means of Finding the Day of any New or Full Moon from B.C. 2000 to A.D. 2000 ; 

 2nd Edition, oblong 8vo. cl., 3s (p. 6s) 1871 



12090 A BUDGET of PARADOXES, reprinted, with the Author's Additions, from the 



Athenaeum [edited by his Wife SOPHIA], thick 8vo. cl., uncut (SCARCE), 2. 10s 1872 



12091 - ANOTHER COPY, new hf. morocco gilt, t. e. g., 2. 15s 



One of the most interesting and witty books ever written, and invaluable for its history and bibliography of some 

 scientific fallacies, e.g. 'circle-squaring'. It contains besides a large number of anecdotes, etc. on mathematical and 

 scientific subjects. ' He had a love of puns, and all ingenious puzzles and paradoxes, which makes his ' Budget of 

 Paradoxes ' as amusing as it is learned.' Sir Leslie Stephen. 



' It is by far the most individual book of the age individual, not merely in its own singularity as a book, but as 

 presenting with a marked degree of clearness and exactness the personality of one who was never quite a man among 

 other men ... To sum up, this is a book that should be read by those who care about circle squarers and all manner of 

 jokes, mathematical and other; by those who care to make the acquaintarce of Augustus de Morgan, which it is 

 well worth while to do ; but above all by those who care to be led into right thinking and warned from wrong.' Prof. 

 W. K. Clifford. 



12092 On the CALCULATION of SINGLE LIFE CONTINGENCIES : On LIFE CONTINGENCIES, 



No. 112 papers 12mo. (pp. 44), unbound, 2s Qd 



12093 CALCULUS of FUNCTIONS (Encyclopaedia Metropolitana), 4to. (pp. 88), unbound, 4s Qd 



[1836] 



12094 - ANOTHER COPY, hf. cl., 5s 



' His articles on the calculus of functions and on the theory of probabilities (v. Nos. 12129-30 post) are worthy of special 

 note. The former contains an investigation of the principles of symbolic reasoning, but the applications deal with the 

 solution of functional equations rather than with the general theory of functions.' W. W R. Ball. 



They have never been republished in any form. 



12095 - On DECIMAL COINAGE, 12mo. (pp. 17), unbound, Is Qd [1847] 



12096 The DIFFERENTIAL and INTEGRAL CALCULUS, containing Differentiation, Integration, 



Development, Series, Differential Equations, Differences, Summation, Equations of Differencies, 

 CALCULUS of VARIATIONS, and Definite Integrals, with Applications, and with ELEMENTARY 

 ILLUSTRATIONS, 8vo. (pp. 869), cl., or, calf, 10s 6d S. D. U. K., 1842 



12097 ANOTHER COPY, hf. morocco gilt, 12s 



12098 ANOTHER COPY, prize morocco extra, g. e. (back faded), with prize inscr. by P. Kelland, 



' Still a standard work, and containing much that is original with the author.' Prof. Cajori. ' A work of great ability, 

 and noticeable for the rigorous treatment of infinite series.' W. W. R. Ball. 



12099 On the EARLIEST PRINTED ALMANACS, 12mo. (pp. 31), unbound, 2s 



12100 On the EARLY HISTORY of the SIGNS + and , 4to. (pp. 10), sewn, 3s Cambridge, 1865 



12101 On the ECCLESIASTICAL CALENDAR, 12mo. (pp. 44), unbound, 2s 



12102 The ELEMENTS of ALGEBRA, preliminary to the Differential Calculus, first edition, 



with diagrams, large post 8vo. cl., with MS. notes, 3s 



12103 SECOND EDITION [revised] , with diagrams, large post 8vo. cl., '3s Qd 



Still a very useful elementary text-book, and one of those not too common which contain reasoning and not rules. 



12104 ELEMENTS of ARITHMETIC [5th and L\ST EDITION, with eleven New Appendixes], 



large post 8vo. cl., 3s Qd 1850, 57, or '61 



12105 - ELEMENTS of SPHERICAL TRIGONOMETRY, with woodcuts, 8vo. (pp. 32), sewn, with auto, 

 of Prof. N. S. Maskelyne, F.R.S. [1836] 



12106 - ESSAY on PROBABILITIES, and on their Application to Life Contingencies and INSURANCE 

 OFFICES, with vignette by Finden, and diagrams, fcap. 8vo. cl., 4s Qd [1838] 



A work of well-known excellence. 



1 The best popular, and at the same time most profound English work on the subject [of probability] is De Morgan s 

 'Essay on Probabilities.' Prof. W. S. Jevons, F.R.S. 



12107 EXPLANATION of the GNOMONIC PROJECTION of the SPHERE : a Description of the 



Construction and Use of the Larger and Smaller MAPS of the STARS ; as also of the Six Maps of 

 the Earth, illustrated, 8vo. cl., 3s Qd 1836 



12108 FORMAL LOGIC : or, the CALCULUS of INFERENCE, Necessary and Probable, 8vo- cl. 

 (cover very slightly damaged) ; SCARCE, 15s 1847 



12109 ANOTHER COPY, cl. (cover slightly damaged), with author's inscr. as below, 16s 



' H. C. Standert Esq. from the Author.' Inscr. on flyleaf. ' 



One of the first works attempting to place logic on a mathematical basis. It caused an attack from Sir William 

 Hamilton, the metaphysician, who accused the author of having appropriated therein his doctrine of the 'quantification 

 of the predicate '. Prof, de Morgan's reply may be found in his Budget of Paradoxes. 



