HENRY SOTHERAN & CO., 140, STRAND, W.C., AND 43, PICCADILLY, W. 823 

 MATHEMATICS, continued: 



16401 MOIVRE (Abraham de ; deVInstitut; F.R.S., friend of Newton) The DOCTRINE of CHANCES ; 

 or a Method of Calculating the PROBABILITIES of EVENTS in PLAY ; third Edition, fuller, clearer, 

 and more correct than the Former, with medallion portrait by J. Dassier, and vignette, roy. 4to., 

 LARGE PAPER ; old hf. calf (name cut off title], 1. 5s 1756 



The last and best edition ; dedicated to Lord Carpenter, the victor over the Old Pretender. 



He introduced the principle that the probability of a compound event is the product of the probabilities of the single 

 events composing it, and the whole subject, Todhunter remarks, 'owes more to him than to any other mathematician, 

 with the single exception of Laplace'.' Miss Agnes M. Clerke. 



' His work on the theory of probability surpasses anything done by any other mathematician except Laplace. His 

 principal contributions are his investigations respecting the Duration of Play, his Theory of Recurring Series, and his 

 extension of the value of Bernoulli's theorem by the aid of Stirling's theorem.' Prof. Cajori. 



A very lull account of the above third edition will be found in Todhunter's History of the Theory of Probability . 



16402 MONTESSUS [de BALLOBE] (Vicomte Robert de ; Univ. LILLE) LECONS EXEMENTAIRES 

 sur le CALCUL des PROBABILITES ; with diagrams, roy. 8vo. buckram, uncut, t. e. g., 4s 6d 

 (p. F. 7 nett sewn) 1908 



16403 MONTFERRIER (Alexandre Andre Victor Sarrazin de) DICTIONNAIRE des SCIENCES 

 MATHEMATIQUES pures et appliquees [avec le SUPPLEMENT] ; ivith woodcuts and 80 plates, 3 vols. 

 colombier 8vo. hf. French maroon morocco neat (SCARCE), 1. 1* 1835 40 



' Cette onvrage resume par ordre alphabetique 1'histoire de toutes les decouvertes faites dans ces sciences, leurs 

 precedes actuels et leur application aux arts industriels, ainsi que la biographie des homines qui out aggraudi le cercle 

 des connaissances positives '. Biogr. Gen. 



16404 MOORE (Eliakim Hastings ; Univ. Chicago), Ernest Julius WILCZYNSKI, ejusdem 

 Univ., and Max MASON, Wisconsin Dniv. : The NEW HAVEN MATHEMATICAL COLLOQUIUM: 

 Lectures before the American Mathematical Society, roy. 8vo. cl., 9s (p. 13s 6d nett) 



New Haven, 1910 



CONTENTS : Fundamental Closure and Dominance Properties of Classes of Functions of a General Variable : Funda- 

 mental Composition Properties of Classes of Functions of a General Variable: Projective Differential Geometry: 

 Selected Topics in the Theory of Boundary Value : Problems of Differential Equations. 



16405 MORGAN (Augustus de ; F.R.S., Prof. Mathematics, Univ Coll., London} The DIFFEREN- 

 TIAL and INTEGRAL CALCULUS, containing Differentiation, Integration, Development, Series, 

 Differential Equations, Differences, Summation, Equations of Difterencies, CALCULUS of VARIA- 

 TIONS, and Deh'nite Integrals, with Applications, and with ELEMENTARY ILLUSTRATIONS, 8vo. 

 (pp. 869), hf. morocco neat, uncut, 10s 6d [1842] 



' 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. 



1 The child of an artisan exercising any of the more ingenious manual arts, or of a savage in the state of life in which 

 arts have made the progress which is possible without division of labour, mieht perhaps be considered as being most 

 advantageously situated in this respect [of considerations connected with number and magnitude entering the mind in 

 connexion with some application to the rough purposes of life] : but we think it beyond question that the children of the 

 middle and upper classes in England, it may be throughout Europe, are in as unfavourable a position as any of their 

 species '. Introduction. 



16406 ESSAY on PROBABILITIES, and on their Application to Life Contingencies and INSURANCE 



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



A work of well-known excellence. 



' 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. Stanley Jevons. 



1^407 TRIGONOMETRY and DOUBLE ALGEBRA, with frontispiece and diagrams, post 8vo. cl. 



(scarce), 10s 1849 



'His ' double algebra ' was the forerunner of quaternions, and contained the complete geometrical interpretation of 

 \/ -1 '. R.A.S. Monthly Notices. Sir W. R. Hamilton acknowledged the suggestions he received from the above work in 

 inventing Quaternions in his Lectures on Qiuiternions. 



' Double algebra means algebra in which each symbol stands for an object of thought having two distinct and inde- 

 pendent qualities '. Preface. 



16408 MOSNAT (E.) PROBLEMES de GEOMETRIE ANALYTIQUE [avec les Solutions] (T. I 3 e et T. 

 II III 2 e Edition) ; with numerous diagrams, 3 vols. 8vo. hf. black morocco neat, cl. sides, t. e. g. 

 (as good as new), 15s (p. F. 21 nett sewn) [c. 1910] 



16409 ANOTHER COPY, Tomes I et II, 2 e Edition; with numerous diagrams, 3 vols. 8vo. in 1, 



handsomely bound in hf. pigskin, cl. sides, 12s (p. F. 21 nett sewn) 1894-1905 



16410 MOUCHOT (A.) Les NOUVELLES BASES de la GEOMETRIE SUPERIEURE (GEOMETRIE de 

 POSITION) ; with 90 diagrams, 8vo. buckram, uncut, t. e. g., 3s 6d (p. F. 5 nett sewn) 1892 



16411 MUIR (Sir Thomas, F.R.S. ; Supt.-Gen. Education, Cape Colony] The THEORY of DETERMIN- 

 ANTS, in the HISTORICAL ORDER of DEVELOPMENT [to I860] , Vol. I in 2nd [latest] Edition, with 

 2 folding tables (linen-mounted), 2 thick vols. 8vo. handsomely bound in hf. black morocco, cl. sides, 

 t. e. g., 1. 7s 6d (p. 1. 14s nett in cl.) 1906-11 



The only work on the history of determinants published in any language. 



16412 TREATISE on the THEORY of DETERMINANTS, with Graduated Sets of Exercises, cr. 8vo. 



buckram (o. p.), 6s 1882 



16413 MtJLLER (Aloys) Das PROBLEM des ABSOLUTEN RAUMES und seine Beziehung zum allge- 

 meinen Raumproblem, large post 8vo. buckram, 3s (p. M. 4 sewn) Braunschweig, 1911 



16414 MULLER (E. R.) LEHRBUCH der PLANIMETRISCHEN KoNSTRUKTiONSAUFGABENgelostdurch 

 geometrische Analysis ; with numerous diagrams, 3 v. : CRANZ (Heinrich) Das APOLLONISCHE 

 BERUHRUNGSPROBLEM und verwandte Aufgaben ; with diagrams 4 vols. large 8vo. in 1, hand- 

 somely bound in hf, black morocco, cl. sides, 10s Qd (p. M. 17 sewn) Bremerhaven [1890] 



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