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Finding Aid to the Florian Cajori Papers, 1842-1929 (bulk 1905-1929)

Bancroft Library Staff The Bancroft Library University of California, Berkeley Berkeley, CA 94720-6000 Phone: (510) 642-6481 Fax: (510) 642-7589 Email: [email protected] URL: http://bancroft.berkeley.edu/ © 2012 The Regents of the University of California. All rights reserved.

Finding Aid to the Florian Cajori BANC MSS C-B 1006 1 Papers, 1842-1929 (bulk 1905-1929) Finding Aid to the Florian Cajori Papers, 1842-1929 (bulk 1905-1929)

Collection number: BANC MSS C-B 1006

The Bancroft Library University of California, Berkeley Berkeley, CA 94720-6000 Phone: (510) 642-6481 Fax: (510) 642-7589 Email: [email protected] URL: http://bancroft.berkeley.edu/ Finding Aid Author(s): Bancroft Library Staff Date Completed: 2012 Finding Aid Encoded By: GenX © 2012 The Regents of the University of California. All rights reserved.

Collection Summary Collection Title: Florian Cajori papers Date (inclusive): 1842-1929 Date (bulk): 1905-1929 Collection Number: BANC MSS C-B 1006 Creator: Cajori, Florian Extent: 3 cartons, 2 boxes4.55 linear feet Repository: The Bancroft Library. University of California, Berkeley Berkeley, CA 94720-6000 Phone: (510) 642-6481 Fax: (510) 642-7589 Email: [email protected] URL: http://bancroft.berkeley.edu/ Abstract: Included in the collection is correspondence; material related to his History of Mathematical Notations (1928); writings; and notes. Languages Represented: Collection materials are in English Physical Location: Many of the Bancroft Library collections are stored offsite and advance notice may be required for use. For current information on the location of these materials, please consult the Library's online catalog. Access Information Collection is open for research. Conditions of Use Materials in this collection may be protected by the U.S. Copyright Law (Title 17, U.S.C.). In addition, the reproduction of some materials may be restricted by terms of University of California gift or purchase agreements, donor restrictions, privacy and publicity rights, licensing and trademarks. Transmission or reproduction of materials protected by copyright beyond that allowed by fair use requires the written permission of without permission of the copyright owner. Responsibility for any use rests exclusively with the user. All requests to reproduce, publish, quote from, or otherwise use collection materials must be submitted in writing to the Head of Public Services, The Bancroft Library, University of California, Berkeley 94720-6000. See: http://bancroft.berkeley.edu/reference/permissions.html.

Finding Aid to the Florian Cajori BANC MSS C-B 1006 2 Papers, 1842-1929 (bulk 1905-1929) Preferred Citation [Identification of item], Florian Cajori Papers, BANC MSS C-B 1006, The Bancroft Library, University of California, Berkeley Alternative Form of Materials Available There are no alternate forms of this collection. Indexing Terms The following terms have been used to index the description of this collection in the library's online public access catalog Cajori, Florian, 1859-1930--Archives University of California (1868-1952). Dept. of Mathematics Mathematics historians Faculty papers No additions are expected. Processing Information Processed in 2012. Biography/Organization History Florian Cajori was born at Saint Aignan near in February 28, 1859, came to the United States in 1875 and was graduated at the University of Wisconsin in 1883. The year 1884-85 he spent at the Johns Hopkins University and in 1885 was called to to teach mathematics. A breakdown in health sent him to Colorado, where he prepared a monograph on the Teaching and History of Mathematics in the United States. This started him in the direction of his life work. In 1889 he joined the faculty of Colorado College. There he published a history of elementary mathematics in 1896 and a history of physics in 1899. He was then invited to contribute to the fourth volume of Cantor's treatise on the history of mathematics which appeared in 1908. Year by year his scholarship became more and more profound and the number and quality of his contributions to the history of mathematics increased steadily to the time of his death August 15, 1930. He was appointed professor of the history of mathematics in the University of California in 1918, where he came to be recognized as the leading historian of mathematics in this country. Taken from University of California: In Memoriam, 1931 Scope and Content Note Included in the collection is correspondence; material related to his History of Mathematical Notations (1928); writings; and notes.

Series 1 Correspondence 1905-1929 Physical Description: Boxes 1-2 Arrangement Arranged alphabetically. Outgoing correspondence filed under Florian Cajori.

Box 1, Folder 1 A Miscellany Box 1, Folder 2 Ainsworth and Sons 1908 Box 1, Folder 3 American Association for the Advancement of Science 1920 Box 1, Folder 4 American Mathematical Monthly 1920 Box 1, Folder 5 American Mathematical Society 1918-1923 Box 1, Folder 6 Annals of Mathematics 1922-1924 Box 1, Folder 7 Archibald, Raymond C. 1925-1927 Box 1, Folder 8 Arthur, John 1909 Box 1, Folder 9 B Miscellany Box 1, Folder 10 Beman, Wooster Woodruff 1912-1921 Box 1, Folder 11 Blake, W.W. 1911 Box 1, Folder 12 Bolton, Herbert Eugene 1911-1913 Box 1, Folder 13 Bopp, Karl 1920-1926 Box 1, Folder 14 Bertolotti, Ettore 1920-1925 Box 1, Folder 15 Bosman, Henri 1919-1925 Box 1, Folder 16 Brasch, Frederick E. 1922-1928 Box 1, Folder 17 British Museum 1905-1908

Finding Aid to the Florian Cajori BANC MSS C-B 1006 3 Papers, 1842-1929 (bulk 1905-1929) Series 1Correspondence 1905-1929

Box 1, Folder 18 C Miscellany Box 1, Folder 19 Cahill, Bernard 1921 Box 1, Folder 20 Cajori, Florian- outgoing correspondence 1908-1926 Box 1, Folder 21 Colorado College Alumni Association 1929 Box 1, Folder 22 Cox, William 1907 Box 1, Folder 23 Crew, Henry 1926-1928 Box 1, Folder 24 Crivelli, Camillus 1911 Box 1, Folder 25 D Miscellany Box 1, Folder 26 Dexter, Edwin G. 1911-1912 Box 1, Folder 27 Dingeldey, F. 1926-1928 Box 1, Folder 28 E Miscellany Box 1, Folder 29 Eichhorn, M.J. 1909 Box 1, Folder 30 Enestrom, Gustaf 1918-1919 Box 1, Folder 31 Engineering News 1908-1909 Box 1, Folder 32 Eugene Dietzgen Co. 1907-1909 Box 1, Folder 33 F Miscellany Box 1, Folder 34 Fiske, Augustus H. 1913 Box 1, Folder 35 G Miscellany Box 1, Folder 36 E. Garcia Rico 1911-1919 Box 1, Folder 37 Gerrans, Henry 1920-1921 Box 1, Folder 38 Greenhill, Sir George 1921-1922 Box 1, Folder 39 Gunther, Robert 1920-1923 Box 1, Folder 40 H Miscellany Box 1, Folder 41 Halsted, George Bruce 1915 Box 1, Folder 42 Hill, M. J. 1927 Box 1, Folder 43 I-J Miscellany Box 1, Folder 44 John Crerar Library 1907-1928 Box 1, Folder 45 Jourdain, Philip E.B. 1916-1919 Box 1, Folder 46 Junge, G. 1923-1928 Box 2, Folder 1 K Miscellany Box 2, Folder 2 Kane, William 1911 Box 2, Folder 3 Karpinski, Louis C. 1923-1927 Box 2, Folder 4 Keuffel and Esser Co. 1907-1926 Box 2, Folder 5 Korzybski, Alfred 1926-1927 Box 2, Folder 6 L Miscellany Box 2, Folder 7 Lefebvre, B. 1922-1923 Box 2, Folder 8 Letters from Various Foreign Libraries Box 2, Folder 9 Locke, L. Leland 1926-1927 Box 2, Folder 10 Locy, William A. 1923 Box 2, Folder 11 Loria, Gino 1918-1920 Box 2, Folder 12 Lundmark, Kurt 1921-1922 Box 2, Folder 13 M Miscellany Box 2, Folder 14 Mack, John G.D. 1907 Box 2, Folder 15 Mahnke, Dietrich 1926-1928 Box 2, Folder 16 Matthes, Gerard A. 1908 Box 2, Folder 17 Mieli, Aldo 1920-1923 Box 2, Folder 18 Mikami, Yoshio 1918-1928 Box 2, Folder 19 N-O Miscellany Box 2, Folder 20 P Miscellany Box 2, Folder 21 Parker, E. 1909 Box 2, Folder 22 R Miscellany Box 2, Folder 23 Rose, P. 1908-1909 Box 2, Folder 24 S Miscellany Box 2, Folder 25 Sarton, George 1912-1928 Box 2, Folder 26 Scholz, Heinrich 1923 Box 2, Folder 27 Schoz (?), Karl 1923-1925 Box 2, Folder 28 Scientia 1923-1928 Box 2, Folder 29 Simons, Lao G. 1923-1928

Finding Aid to the Florian Cajori BANC MSS C-B 1006 4 Papers, 1842-1929 (bulk 1905-1929) Series 1Correspondence 1905-1929

Box 2, Folder 30 Singer, Charles 1920-1929 Box 2, Folder 31 Smith, David Eugene 1912-1929 Box 2, Folder 32 Smith, Paul Jordan 1927 Box 2, Folder 33 Suter, Heinrich 1920 Box 2, Folder 34 T-U Miscellany Box 2, Folder 35 United States Library of Congress 1908-1911 Box 2, Folder 36 V Miscellany Box 2, Folder 37 Vasiliev, Alexander 1922-1924 Box 2, Folder 38 Vasiliev, Sergei 1922-1926 Box 2, Folder 39 Vassilieff, Sergius 1922-1926 Box 2, Folder 40 Vaughn, Thomas 1925-1926 Box 2, Folder 41 Vetter, Q. 1923-1928 Box 2, Folder 42 W Miscellany Box 2, Folder 43 Whaler, James 1928 Box 2, Folder 44 White, James D. 1920-1921 Box 2, Folder 45 Wieleitner, Heinrich 1920 Box 2, Folder 46 Miscellaneous Box 2, Folder 47 Unidentified Series 2 History of Mathematical Notations circa 1928 Physical Description: Carton 1 Arrangement Arranged hierarchically. Scope and Content Note Typescript notes and text for Cajori's book, History of Mathematical Notations, published in 1928.

Carton 1, Folder 1 Table of Contents Carton 1, Folder 2 Introduction Carton 1, Folder 3 Numeral Symbols and Combinations of Symbols Carton 1, Folder Symbols in Arithmetic and Algebra 4-6 Carton 1, Folder Topical Survey of Symbols in Arithmetic and Algebra 7-8 Carton 1, Folder 9 Symbols in Modern Analysis Carton 1, Folder The Teachings of History 10 Carton 1, Folder Illustrations 11 Carton 1, Folders Miscellaneous Notes- volume 1 12-13 Carton 1, Folders Miscellaneous Notes- volume 2 14-15 Carton 1, Folder Discarded Material on Notations 16 Series 3 Writings undated Physical Description: Carton 2, folders 1-31 Arrangement Arranged alphabetically. Scope and Content Note Includes drafts and reprints of Cajori's scholarly writings as well as one speech and copies of reviews written by him and a review of one of his works.

Carton 2, Folder 1 Are the Heavens Full or Are They Void? A History of Hypotheses undated Carton 2, Folder 2 Beginnings of Mathematical Science in America undated Carton 2, Folder 3 Comparison of Methods of Determining Calendar Dates by Finger-Reckoning undated Carton 2, Folder 4 Did Pitiscus Use the Decimal Point? undated

Finding Aid to the Florian Cajori BANC MSS C-B 1006 5 Papers, 1842-1929 (bulk 1905-1929) Series 3Writings undated

Carton 2, Folder 5 The Earliest Arithmetic Published in America undated Carton 2, Folder 6 The Early Mathematical Sciences in North and South America undated Carton 2, Folder 7 Ferdinand Rudolph Hassler and Early American Science: A Biography and History Carton 2, Folders History of the Conceptions of Limits and Fluxions in Great Britain from Newton to 8-10 Woodhouse undated Carton 2, Folder History of the Exponential and Logarithmic Concepts 11 Carton 2, Folder History of the Logarithmic Slide Rule undated 12 Carton 2, Folders History of the Notations of the Calculus undated 13-14 Carton 2, Folder A List of Oughtred's Mathematical Symbols, with Historical Notes undated 15 Carton 2, Folder The Mathematical Sciences in the Latin Colonies of America 1923 16 Carton 2, Folder Mathematical Signs of Equality 1922 17 Carton 2, Folders The Mind Training Value of Mathematics undated 18-19 Carton 2, Folder A Notable Case of Finger-Reckoning in America 1926 20 Carton 2, Folder Note on the History of Caloric undated 21 Carton 2, Folder On the History of Gunter's Scale and the Slide Rule During the Seventeenth Century 22 undated Carton 2, Folder On the Spanish Symbol U for "thousands" 1912 23 Carton 2, Folder Pricked Letters and Ultimate Ratios undated 24 Carton 2, Folder Rahn's Algebraic Symbols undated 25 Carton 2, Folder Rolle's Theorem undated 26 Carton 2, Folder The St. Andrew's Cross as a Mathematical Symbol undated 27 Carton 2, Folder Study of Various Experiments in Arithmetical Instruction undated 28 Carton 2, Folder Tri-section of an Angle and Duplication of a Cube undated 29 Carton 2, Folder Unidentified Speech undated 30 Carton 2, Folder Reviews 31 Series 4 Notes undated Physical Description: Carton 2, folders 32-52; Carton 3, folders 1-16 Arrangement Arranged alphabetically by subject.

Carton 2, Folder Actuarial Notations 32 Carton 2, Folder Astronomy and Surveying 33 Carton 2, Folder Biographical Notes 34 Carton 2, Folder Computation (Scratch Method) 35

Finding Aid to the Florian Cajori BANC MSS C-B 1006 6 Papers, 1842-1929 (bulk 1905-1929) Series 4Notes undated

Carton 2, Folder Differentials 36 Carton 2, Folder Early Mathematical Writings 37 Carton 2, Folder Equating to Zero 38 Carton 2, Folder Formulary of Mathematics 39 Carton 2, Folder Fractions 40 Carton 2, Folder Geometric Signs 41 Carton 2, Folder Imaginary Numbers 42 Carton 2, Folder Indeterminate Numbers 43 Carton 2, Folder Limits and Passing Limits 44 Carton 2, Folder Logarithms 45 Carton 2, Folder Mathematicians- Historical 46 Carton 2, Folder Meter 47 Carton 2, Folder Modern Opinions 48 Carton 2, Folder Navigation 49 Carton 2, Folder Notations 50 Carton 2, Folder Origin of Number 51 Carton 2, Folder Origin of the Dollar Sign 52 Carton 3, Folder 1 Physics Carton 3, Folder 2 Powers and Roots Carton 3, Folder 3 Several Unknowns Carton 3, Folder 4 Slides and Illustrations Carton 3, Folder 5 Trigometric Notation Carton 3, Folder 6 Use of Letters Carton 3, Folder 7 Women in Mathematics Carton 3, Folder 8 Miscellaneous Carton 3, Folder 9 Writings by Others Carton 3, Folder Material regarding Slide Rules 10 Carton 3, Folders Notebooks undated 11-15 Carton 3, Folder Notecards undated 16 Teaching Materials circa 1929 Physical Description: Carton 3, folders 17-19

Carton 3, Folder Student Examinations 1929 17 Carton 3, Folder Teaching Notes undated 18 Carton 3, Folder Teaching Resources undated 19

Finding Aid to the Florian Cajori BANC MSS C-B 1006 7 Papers, 1842-1929 (bulk 1905-1929) Miscellaneous 1842-1928

Miscellaneous 1842-1928 Physical Description: Carton 3, folders 20-23

Carton 3, Folder Newspaper Clippings 1879-1928 20 Carton 3, Folder Cahill World "Butterfly" Map 21 Carton 3, Folder Book of Engineering Sketches 1842 22 Carton 3, Folder Miscellany 23

Finding Aid to the Florian Cajori BANC MSS C-B 1006 8 Papers, 1842-1929 (bulk 1905-1929)