Eighth preliminary edition

Chambers -- see: Fireside Amusements.

Charades, Enigmas, and Riddles. 1859.

Charades, Enigmas, and Riddles. Collected by A Cantab. [BLC gives no author. "A Cantab." was a common pseudonym. One such author of about the right time and nature was George Haslehurst.] (Cambridge, 1859).

3rd ed., J. Hall and Son, Cambridge, 1860, HB. Half-title, 6 + 96pp.

4th ed., Bell & Daldy, London, 1862. 8 preliminaries (i = half-title; FP facing iii = TP; v-viii = Introduction; errata slip; two facing plates illustrating a charade for Harrowgate [sic] Waters), 1-160, 32pp publisher's ads, dated Jan 1863; (my copy is lacking pp. 63-64). The three plates are signed J.R.J. This is a substantial expansion of the 3rd ed.

I also have photocopy of part of the 5th ed., Bell and Daldy, London, 1865, and this shows it was even larger than the 4th ed, but most of the problems of interest have the same or similar problem numbers in the three editions that I have seen. I will cite them as in the following example. 1860: prob. 28, pp. 59 & 63; 1862: prob. 29, pp. 135 & 141; 1865: prob. 573, pp. 107 & 154.

Chaturveda. Chaturveda Pŗthudakasvâmî [NOTE: ŗ denotes an r with an underdot.]. Commentator on the Brahma sphuta siddhanta (qv), 860. Some of these comments are taken from Bhaskara I in 629. Shukla calls him Pŗthūdaka, but Colebrooke cites him as Ch.

Chessics. Chessics. The Journal of Generalised Chess. Produced by G. P. Jelliss, 5 Biddulph Street, Leicester, LE2 1BH. No. 1 (Mar 1976) -- No. 29 & 30 (1987). Succeeded by G&PJ.

Child. Girl's Own Book.

Mrs. L. Maria Child [= Mrs. Child = Lydia Maria Francis, later Child]. The Girl's Own Book. The bibliography of this book is confused. According to the Opies [The Singing Game, p. 481], the first edition was Boston, 1831 and there was a London 4th ed. of 1832, based on the 2nd US ed. However the earliest edition in the BMC is a 6th ed. of 1833. I have examined and taken some notes from the 3rd ed., Thomas Tegg, London, 1832 -- unfortunately I didn't have time to go through the entire book so I may have missed some items of interest. I have also examined the following.

Clark Austin & Co., NY, nd [back of original TP says it was copyrighted by Carter, Hendee, & Babcock in Massachusetts in 1833]; facsimile by Applewood Books, Bedford, Massachusetts, nd [new copy bought in 1998 indicates it is 4th ptg, so c1990]. The facsimile is from a copy at Old Sturbridge Village. The back of the modern TP says the book was first published in 1834 and the Cataloguing-in-Publication data says it was originally published by Carter, Hendee and Babcock in 1834. However, the earliest version in the NUC is Clark, Austin, 1833. I am confused but it seems likely that Carter, Hendee and Babcock was the original publisher in Boston in 1831 and that that this facsimile is likely to be from 1833 or an 1834 reprint of the same. The pagination is different than in the 1832 London edition I have seen.

The Tenth Edition, with Great Additions. By Mrs. Child. Embellished with 144 Wood Cuts. Thomas Tegg, London (& three other copublishers), 1839. 12 + 307 pp + 1p publisher's ad. Has Preface to the Second Edition but no other prefaces. This Preface is identical to that in the 1833 NY ed, except that it omits the final P.S. of season's greetings. The 1833 NY essentially has the same text, but they have different settings and different illustrations with some consequent rearrangement of sections. However the main difference is that the NY ed omits 41pp of stories. There are a number of minor differences which lead to the NY ed having 9 extra pages of material.

The Eleventh Edition, with Great Additions. By Mrs. Child. Embellished with 124 Wood Cuts. Thomas Tegg, London (& three other copublishers), 1842. 12 + 363 pp + 1p publisher's ad. The Preface is identical to that in the 10th ed, but omits 'to the Second Edition' after Preface. 90 pp of games and 40 pp of enigmas, charades, rebuses, etc. have been added; 56 pp of stories have been dropped.

The Girl's Own Book of Amusements, Studies and Employments. New Edition. Considerably enlarged and modernized by Mrs. L. Valentine, and others. William Tegg, London, 1876. This differs considerably from the previous editions.

I will cite the above by the dates 1832, 1833, 1839, 1842, 1876.

Various sources list: 13th ed., 1844 [BMC, Toole Stott 831]; Clark Austin, NY, 1845 [NUC]; 16th ed., 1853 [BMC]; 17th ed. by Madame de Chatelain, 1856 [BMC, NUC, Toole Stott 832]; 18th ed. by Madame de Chatelain, 1858 [BMC, Toole Stott 833]; 1858 [Osborne Collection (at Univ. of Toronto)]; rev. by Mrs. R. Valentine, 1861 [BMC, Osborne Collection]; rev. by Mrs. R. Valentine, 1862 [BMC, NUC]; rev. by Mrs. R. Valentine, 1864 [BMC]; rev. by Mrs. R. Valentine, 1867 [BMC]; enlarged by Mrs. L. Valentine, 1868 [NUC]; enlarged by Mrs. L. Valentine, 1869 [BMC]; enlarged by Mrs. L. Valentine, 1873 [NUC]; enlarged by Mrs. L. Valentine, 1875 [NUC]; enlarged by Mrs. L. Valentine, 1876 [BMC];

Heyl gives the following under the title The Little Girl's Own Book: Carter, Hendee and Co., Boston, 1834; American Stationers Co, John B. Russell, Boston, 1837; Edward Kearney, NY, 1847; NY, 1849.

I think there were at least 33 editions. See my The Bibliography of Some Recreational Mathematics Books for more details. Cf Fireside Amusements, below, which is largely copied from Child.

Chiu Chang Suan Ching. c-150?

Chiu Chang Suan Ching (Nine Chapters on the Mathematical Art). (Also called Chiu Chang Suan Shu and variously transliterated. The pinyin is Jiŭ Zhāng Suàn Shù.) c 150? German translation by K. Vogel; Neun Bücher arithmetischer Technik; Vieweg, Braunschweig, 1968. My citations will be to chapter and problem, and to the pages in Vogel. (Needham said, in 1958, that Wang Ling was translating this, but it doesn't seem to have happened.) Some of the material dates from the early Han Dynasty or earlier, say c-200, but Chap. 4 & 9, the most original of all, have no indication of so early a date. A text of c50 describes the contents of all the chapters and Høyrup suggests that Chap. 4 & 9 and the final assembly of the book should be dated to the [early] 1C.

Christopher. 1994.

Maurine Brooks Christopher & George P. Hansen. The Milbourne Christopher Library. Magic, Mind Reading, Psychic Research, Spiritualism and the Occult 1589-1900. Mike Coveney's Magic Words, Pasadena, 1994. 1118 entries. References are to item numbers.

Christopher II. 1998.

Maurine Brooks Christopher & George P. Hansen. The Milbourne Christopher Library -- II. Magic, Mind Reading, Psychic Research, Spiritualism and the Occult 1589-1900. Mike Coveney's Magic Words, Pasadena, 1998. 3067 entries. References are to item numbers. Recently received, ??NYR.

Chuquet. 1484. Nicolas Chuquet. Problèmes numériques faisant suite et servant d'application au Triparty en la science des nombres de Nicolas Chuquet Parisien. MS No. 1346 du Fonds Français de la Bibliothèque Nationale, 1484, ff. 148r-210r. Published in an abbreviated version as: Aristide Marre; Appendice au Triparty en la science des nombres de Nicolas Chuquet Parisien; Bulletino di bibliografia e di storia delle scienze matematiche e fisiche 14 (1881) 413 460. (The first part of the MS was published by Marre; ibid. 13 (1880) 593-814; ??NYS) Marre generally transcribes the text of the problem, but just gives the answer without any of the text of the solution. I will cite problems by number. There are 166 problems. (Much of this was used in his student's book: Estienne de la Roche; Larismethique novellement composee par maistre Estienne de la roche dict Villefrāche; Lyons, 1520, ??NYS. (Rara 128 130).)

FHM Graham Flegg, Cynthia Hay & Barbara Moss. Nicolas Chuquet, Renaissance Mathematician. A study with extensive translation of Chuquet's mathematical manuscript completed in 1484. Reidel, Dordrecht, 1985. This studies the entire MS, of which the above Appendice is only the second quarter. It often gives a full English translation of the text of the problem and the solution, but it may summarize or skip when there are many similar problems. The problems in the first part of the MS are not numbered in FHM. I will cite this as FHM xxx, where xxx is the page number, with 'English in FHM xxx' when the problem is explicitly translated.

Clark. Mental Nuts. 1897, 1904, 1916.

A book of Old Time Catch or Trick Problems Regular old Puzzlers that kept your Grandad up at night. Copyright, 1897, by S. E. Clark, Philadelphia. Flood & Conklin Co. Makers of Fine Varnishes, Newark, N.J. 100 problems and answers. 32pp + covers.

A book of 100 Catch or Trick Problems Their simplicity invites attack, while their cunningly contrived relations call forth our best thought and reasoning. Copyright, 1897, by S. E. Clark, Philadelphia. Revised 1904 Edition. Waltham Watches, Waltham, Massachusetts. This was an promotional item and jewellers would have their address printed on the cover. My example has: With the compliments of J. H. Allen Jeweler [sic] Shelbina, Mo. Thanks to Jerry Slocum for this. In fact there are only 95 problems; numbers 68, 75, 76, 78, 84 are skipped. 32pp + covers.

Revised Edition 1916, with no specific company mentioned. Enlarged PHOTOCOPY from Robert L. Helmbold. 100 numbered problems, but some figures inserted after no. 75 are the solutions to a problem in the other editions and I have counted this as a problem (no. 75A), making 101 problems. 28pp + covers.

The editions are considerably different. Only 40 problems occur in all three editions. There are 50 problems common to 1897 and 1904, 42 common to 1897 and 1916 and 71 common to 1904 and 1916, though this counting is a bit confused by the fact that problems are sometimes combined or expanded or partly omitted, etc. Solutions are brief. It includes a number of early examples or distinct variants, which is remarkable for a promotional item. I have entered 36 of the 1897 problems plus 13 of the 1904 problems not in 1897 and 7 of the 1916 problems not in 1897 or 1904. Many others are standard examples of topics covered in this work, but are not sufficiently early to be worth entering.

I originally had the 1904 ed and cited the 1904 problems as 1897 on the grounds that editions of this period do not change much, but having now seen the 1897 and 1916 eds, I realise that the editions are very different, so I will cite the actual dates. Since only the 1897 version is paginated, I will just cite problem numbers; the solutions are at the back.

Clarke, William. See: Boy's Own Book.

CM. Crux Mathematicorum (originally titled Eureka until 4:3)

CMJ. The College Mathematics Journal. Before the early 1980s, this was the Two Year College Mathematics Journal.

Colebrooke. 1817.

Henry Thomas Colebrooke (1765-1837), trans. Algebra, with Arithmetic and Mensuration from the Sanscrit of Brahmegupta and Bháscara. John Murray, London, 1817. Contains Lîlâvatî and Bîjaganita of Bhâskara II (1150) and Chapters XII (Arithmetic) and XIII (Algebra) of the Bráhma sphuta siddhânta of Brahmagupta (628). There have been several reprints, including Sändig, Wiesbaden, 1973. (Edward Strachey produced a version: Bija Ganita: or the Algebra of the Hindus; W. Glendinning, London, 1813; by translating a Persian translation of 1634/5.)

Collins. Book of Puzzles. 1927.

A. Frederick Collins. The Book of Puzzles. D. Appleton and Co., NY, 1927.

Collins. Fun with Figures. 1928.

A. Frederick Collins. Fun with Figures. D. Appleton and Co., NY, 1928.

Columbia Algorism. c1350.

Anonymous Italian MS, c1350 [according to Van Egmond's Catalog 253 254], Columbia X511 .A1 3. Transcribed and edited by K. Vogel; Ein italienisches Rechenbuch aus dem 14.Jahrhundert; Veröffentlichungen des Forschungsinstituts des Deutschen Museums für die Geschichte der Naturwissenschaften und der Technik, Reihe C, Quellentexte und Übersetzungen, Nr. 33, Munich, 1977. My page references will be to this edition. Van Egmond says it has a title in a later hand: Rascioni de Algorismo.

The Algorism is discussed at length in Elizabeth B. Cowley; An Italian mathematical manuscript; Vassar Medieval Studies, New Haven, 1923, pp. 379 405.

Conway, John Horton. (1937- ). See: Winning Ways.

Cowley, Elizabeth B. See: Columbia Algorism.

CP. 1907. H. E. Dudeney. Canterbury Puzzles. (1907); 2nd ed. "with some fuller solutions and additional notes", Nelson, 1919; 4th ed. = Dover, 1958. (I have found no difference between the 2nd and 4th editions, except Dover has added an extra note on British coins and stamps. I now have a 1st ed, which has different page numbers, but I have not yet added them.)

CR Comptes Rendus des Séances de l'Académie des Sciences, Paris.

Crambrook. 1843. W. H. M. Crambrook. Crambrook's Catalogue of Mathematical & Mechanical Puzzles Deceptions and Magical Curiosities, contained in the Necromantic Tent, Royal Adelaide Gallery, West Strand, London. ... To which is added, a Complete Exposé [of] the Baneful Arts by which unwary Youth too often become the prey of professed gamesters. And ... an extract from The Anatomy of Gambling. Second Edition, Corrected & Enlarged. T. C. Savill, 107 St. Martin's Lane, 1843. 23pp. Photocopy provided by Slocum. [According to: Edwin A. Dawes; The Great Illusionists; Chartwell Books, Secaucus, New Jersey, 1979, p. 138, this is the first known magical catalogue. It has a list of about 100 puzzles on pp. 3-5, with the rest devoted to magic tricks. Unfortunately there are no pictures. Comparison with Hoffmann helped identify some of the puzzles, but I can not identify many of them. I have marked almost all these entries with ?? or check??, but the only way one can check is if actual examples or an illustrated catalogue turn up. Some of the names are so distinctive that it seems certain that the item does fit where I have cited it; others are rather speculative. There are several names which may turn up with more investigation. Toole Stott 190 says there should be 48pp, though the later pages may be the added material on gambling.]

Cremer, William Henry, Jr. See under: Book of 500 Puzzles, Hanky Panky, Magician's Own Book.

CUP. Cambridge University Press.

Cyclopedia. 1914.

Sam Loyd's Cyclopedia of 5,000 Puzzles, Tricks and Conundrums (ed. by Sam Loyd Jr). Lamb Publishing, 1914 = Pinnacle or Corwin, 1976. This is a reprint of Loyd's "Our Puzzle Magazine", a quarterly which started in June 1907 and ran till 1908. See OPM for details.

C&B. 1920. Sidney W. Clarke & Adolphe Blind. The Bibliography of Conjuring And Kindred Deceptions. George Johnson, London, 1920. Facsimile by Martino Fine Books, Mansfield Centre, Connecticut, nd [obtained new in 1998].

C&W. Chatto & Windus, London.

Datta & Singh. Bibhutibhusan Datta & Avadhesh Narayan Singh. History of Hindu Mathematics. Combined edition of Parts I (1935) and II (1938), Asia Publishing House, Bombay, 1962. NOTE: This book makes some contentious assertions. Readers are referred to the following reviews.

O. Neugebauer. Quellen und Studien zur Geschichte der Mathematik 3B (1936) 263-271.

S. Gandz. Isis 25 (1936) 478-488.

Datta, B. See: Bakhshali MS; Datta & Singh.

De Morgan (1806-1871). See: Rara.

De Viribus. See: Pacioli.

dell'Abbaco. See: Pseudo-dell'Abbaco.

Depew. Cokesbury Game Book.

Arthur M. Depew. The Cokesbury Game Book. Abingdon-Cokesbury Press, NY & Nashville, 1939. [The back of the TP says it is copyright by Whitmore & Smith -- ?? The Acknowledgements say material has been assembled from various sources and colleagues who have been collecting and writing over the previous thirty years.]

Dickson. Leonard Eugene Dickson (1874-1954). History of the Theory of Numbers, 3 vols. Carnegie Institution of Washington, Publication 256, 1919-1923; facsimile reprint by Chelsea, 1952.

Dilworth. Schoolmaster's Assistant.

Thomas Dilworth. The Schoolmaster's Assistant: Being a Compendium of Arithmetic, both Practical and Theoretical. (1743); 11th ed., Henry Kent, London, 1762 (partly reproduced by Scott, Foresman, 1938.) 20th ed., Richard & Henry Causton, London, 1780. De Morgan suggests the 1st ed. was 1744 or 1745, but the testimonials are dated as early as Jan 1743, so I will assume 1743. Comparison of a 1762 ed. (Wallis 321 DIL) with my 1780 ed. shows the 1780 ed. is identical to the 1762 ed., except the section on exchange is much expanded, so the page numbers of all material of interest are increased by 12pp. I will cite the pages of the 1762 ed., but give the date as 1743. [Wallis also has: 14th ed., 1767; 15th ed., 1768; 1783; 22nd ed., 1785; 1791; 24th ed., 1792; 1793; 33rd ed., 179-; 1799; 1800; 1804.] [Halwas 149 162 are some US editions.]

Diophantos. c250.

Diophantos. Arithmetica. c250. In: T. L. Heath; Diophantos of Alexandria; 2nd ed., (OUP, 1910); Dover, 1964. Note: Bachet edited a Greek and Latin version of Diophantos in 1620, which inserted 45 problems from the Greek Anthology at the end of Book V. (It was in Fermat's copy of this work that Fermat wrote the famous marginal note now called his Last Theorem; Fermat's son published an edition with his father's annotations in 1670, but the original copy was lost in a fire.)

DNB. Leslie Stephen, ed. The Dictionary of National Biography. Smith, Elder and Co., London, 1885 1901 in 22 volumes. OUP took it over in 1917. Decennial Supplements were added.

Compact Edition, with Supplement amalgamating the six decennial supplements to 1960, OUP, 1975. The Compact Ed. shows the original volumes and pages so I will cite them in ( ), followed by the pages in the Compact Ed.

Dodson. Math. Repository. (1747?); 1775.

James Dodson. The Mathematical Repository. Containing Analytical Solutions of near Five Hundred Questions, mostly selected from Scarce and Valuable Authors. Designed As Examples to Mac-Laurin's and other Elementary Books of Algebra; And To conduct Beginners to the more difficult Properties of Numbers. 2nd ed., J. Nourse, London, 1775, HB. (I have now acquired vols. II & III (1753 & 1755), but these are largely concerned with annuities, etc., except the beginning of vol. II has a section on indeterminate equations, entered in 7.P.1. From references in these volumes, it seems that the 1775 ed. of volume I is pretty close to the first ed. of c1747, but has been a little rearranged, so I have redated the entries as above.)

Doubleday -- n. 1969, etc.

Eric Doubleday. Test Your Wits, Vols. 1 - 5. Ace Publishing, NY, 1969; 1971; 1972; 1969[sic]; (1969), revised 1973. [Vols. 1 - 3 are good collections, with a number of novel variations of standard problems. Vols. 4 & 5 are vol. 1 split into two parts and much padded by putting each answer on a separate page! The books refer to Doubleday as puzzle setter for a London newspaper and one of the best known setters in the English speaking world. However, none of the older puzzle setters/editors in England have ever heard of him and there is no book by him in the British Library Catalogue. Surprisingly, there is also no book by him in the Library of Congress Catalogue! I am beginning to think the author is a deception, but the first three books are better than scissors and paste hack work.]

DSB. Dictionary of Scientific Biography. Ed. by Charles C. Gillespie for the American Council of Learned Societies. Scribner's, NY, 1970-1977, in 18 volumes. I will give the volume and the pages.

The mathematical material has been reprinted in four volumes as: Biographical Dictionary of Mathematicians Reference Biographies from the Dictionary of Scientific Biography. Scribner's, NY, 1990? This has new pagination, continuous through the four volumes. If I don't have the DSB details, I will cite this as BDM.

Dudeney, Henry Ernest (1857-1930). See: AM, CP, MP, PCP, 536. I also cite his columns or contributions in The Captain, Cassell's Magazine, Daily Mail, London Magazine, The Nineteenth Century, The Royal Magazine, Strand Magazine, Tit-Bits, The Tribune, The Weekly Dispatch.
Eadon. Repository. 1794.

John Eadon. The Arithmetical and Mathematical Repository, Being a New Improved System of Practical Arithmetic, in all its Branches; Designed for the Use of Schools, Academies, Counting-Houses, and Also for the Benefit of private Persons who have not the Assistance of a Teacher. In Four Volumes. Volume 1. In Three Books. Printed for the author, and sold by G. G. and J. Robinson, Paternoster Row, London, 1794.

EB Encyclopædia Britannica. I tend to use my 1971 ed.

Endless Amusement I. c1818.

Anonymous. Endless Amusement; A Collection of Nearly 400 Entertaining Experiments In various Branches of Science; ..., All the Popular Tricks and Changes of the Cards, .... 3rd ed.(?), Thomas Boys, London, nd [1825]. Frontispiece & TP are missing, but James Dalgety has inserted a photocopy of the TP of the 3rd ed. [BMC lists 2nd ed., 1819?; 3rd ed., 1825? BMC65 lists 1st ed. by Thorp & Burch, c1818; 2nd ed., c1820. Toole Scott 255-267 lists 3rd ed., c1820; 4th ed., 1822; 5th ed., 1830; 6th ed., 1834; 7th ed., 1839. Hall, BCB 116-123 are: 1st ed., c1815; 2nd ed., c1820; 3rd ed., c1820; 3rd ed., Philadelphia, 1822; 4th ed., c1825; 5th ed., c1830; 6th ed., 1834; Philadelphia, 1847. Heyl 110-115, 121 are 1819; 2nd & 3rd ed., M. Carey & Sons, Philadelphia, 1821 & 1822; 3rd ed, C. Tilt, London, 1825; Borradaile, NY, 1831; Henry Washburne & Thomas Tegg, London, 1839; Lea & Blanchard, Philadelphia, 1847. Almost all of these are listed as 2 + 216 pp, so the editions are probably all the same as the 1st ed., except that Hall notes that the 1st ed. title is slightly different: Endless Amusement; A Collection of Upwards of 400 Entertaining and Astonishing Experiments. Among a Variety of other Subjects, are Amusements in Arithmetic, Mechanics, Hydraulics .... All the Popular Tricks and Changes of the Cards, ..., and Heyl gives a similar title for the 1825 ed. and the 1831 NY ed. has some variations. Christopher 330-338 are 2nd ed., Philadelphia, 1821; 3rd ed., c1820; 3rd ed., Philadelphia, 1822; 4th ed., c1822; 4th ed., c1822 (slightly different to preceding; 5th ed., c1830; 6th ed., 1834; 7th ed., 1839; Philadelphia, 1847. C&B list it under Thorp and Burch, the publishers, with no dates.] [There is a Recreations in Science, ..., by the author of Endless Amusement, 1830.]

Endless Amusement II. 1826?

Anonymous. A Sequel to the Endless Amusement, Containing Nearly Four Hundred Interesting Experiments, In various Branches of Science, ..., to Which are Added, Recreations with cards, and a Collection of Ingenious Problems. Thomas Boys, London, nd [1826?]. Pp. 203-216 are missing, but James Dalgety has inserted photocopies. [BMC lists one ed., 1826? Hall, BCB 252 gives c1825. Heyl says this refers to Thomas Boys ... and Thorp and Burch, London (1825). Toole Stott 623 gives 1825.]

= Anonymous. The Endless Amusement. New Series Containing Nearly Four Hundred Interesting Experiments, ... (as above). Thomas Tegg & Sons, London, 1837. Angela Newing has provided a photocopy of the interesting parts of this and it is virtually identical to the 1826? ed., though it has been reset, resulting in an extra word fitting on some lines, and it has rather poorer pictures. One problem has been replaced by another. [Heyl 122.] 21 problems, including the replacement problem, are copied in The New Sphinx.

= Anonymous. A Companion to the Endless Amusement. James Gilbert, London, 1831. [Toole Stott 172 says this is a reprint of A Sequel ..., from the same type, with new TP, and this is clear from examination of the example Wallis 187.5 COM. Heyl 66 dates it as c1820?]

Some of the material is taken from Badcock.

van Etten/Leurechon. 1624.

Recreation Mathematicque.

The bibliography of this book is very complicated. I have now made a separate bibliography of this, augmented by many contributions from Voignier, which is now (Aug 2001) 19pp, listing 50 French editions, 5 English editions, 4 Latin editions and 8 (or 9) Dutch editions -- a total of 67 (or 68) editions from 1624 to 1706, though at least 10 of the French editions may be 'ghosts'. This is part of my The Bibliography of Some Recreational Mathematics Books.