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Mathematics is the study of quantity, structure, space, and change. Mathematicians seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions.
General
[edit]- An Essay on Quantity, 1748, by Thomas Reid
- Budget of Paradoxes
- Methodus inveniendi
- Curious Systems of Notation as it appeared in the August 1878 Popular Science Monthly
- Algebras, Spaces, Logics as it appeared in the August 1880 Popular Science Monthly
- Origin and History of Life Insurance I as it appeared in the August 1881 Popular Science Monthly
- Modern Basis of Life Insurance II as it appeared in the September 1881 Popular Science Monthly
- The Practical Business of Life Insurance III as it appeared in the October 1881 Popular Science Monthly
- The Illusion of Chance as it appeared in the December 1883 Popular Science Monthly
- The Mystic Properties of Numbers as it appeared in the August 1884 Popular Science Monthly
- Science and the Logicians as it appeared in the June 1876 Popular Science Monthly
- Quantum noise at the nonlinear mapping of phase space (Kouznetsov) as it appeared in Optics and Spectroscopy, 82, 990-995 (1997)
- 1911 Encyclopædia Britannica articles on Mathematics (11th edition, 1911)
Algebra
[edit]Calculus
[edit]- Elements of the Differential and Integral Calculus, 1911 by William Anthony Granville (transcription project)
- Investigation of the letter of Leibniz
- The Analyst: a Discourse addressed to an Infidel Mathematician, 1734, (transcription project) by George Berkeley, an early criticism of the calculus, particularly Newton's terminology of 'fluxions'.
Computer science
[edit]- Portal:Apache Software Foundation
- The Alphabet Cipher, 1868 by Lewis Carroll
- On Mr. Babbage's new machine for calculating and printing mathematical and astronomical tables, 1823 by Francis Baily in Astronomische Nachrichten, No. 46, pages 409-422
- Venona: FBI Documents of Historic Interest/Belmont Memorandum 1956-02-01, 1956, declassified U.S. Federal Bureau of Investigation memorandum
- A Few Words on Secret Writing, 1841 by Edgar Allan Poe
- Lambda Papers, 1975-1979, by Steele and Sussman, a series of MIT AI Memos, developing the Scheme programming language and a number of influential concepts in programming language design and implementation
- The Paging Game, 1974 by Jeff Berryman, University of British Columbia
- Resource Management in Virtualized Clouds (2016)
- Efficient and Secure Group Messaging Encryption (2020)
Geometry
[edit]- "Transcendental Geometry" in Popular Science Monthly, 21 (August 1882)
- "The Fourth Dimension" in Popular Science Monthly, 83 (October 1913)
- "The Foundations of Geometry" in Popular Science Monthly, 68 (January 1906)
- "Inventional Geometry" in Popular Science Monthly, 34 (January 1889)
- "Is Euclid's Geometry Merely a Theory?" in Popular Science Monthly, 78 (June 1911)
- "My Class in Geometry" in Popular Science Monthly, 38 (November 1890)
- "A Study of the Development of Geometric Methods" in Popular Science Monthly, 66 (March 1905)
- "The Value of Non-Euclidean Geometry" in Popular Science Monthly, 67 (November 1905)
- "Geometry: Ancient and Modern" in Popular Science Monthly, 58 (January 1901)
- The Elements of Euclid
- Early editions of Euclid's Elements
- Squaring the circle
- Geometric Dissections and Transpositions
- Diameter as it appeared in the 1911 Encyclopædia Britannica
Trigonometry
[edit]The Construction of the Wonderful Canon of Logarithms by John Napier, translated by William Rae Macdonald (1889) (transcription project)
Probability theory
[edit]- A Philosophical Essay on Probabilities (original 1840; translation 1902) by Pierre-Simon Laplace
- The Logic of Chance (1888) by John Venn (transcription project)
- A Treatise on Probability (1921) by John Maynard Keynes (transcription project)
History of mathematics
[edit]- Early Hindoo Mathematics as it appeared in the July 1873 Popular Science Monthly
- The Origin and Curiosities of the Arabic Numerals as it appeared in the April 1877 Popular Science Monthly
- A History of Mathematics (1893) by Florian Cajori (transcription project)
- Indian Mathematics (1915) by George Rusby Kaye (transcription project)
- A History of Mathematical Notations, Volume I (1928) by Florian Cajori (transcription project)
Mathematicians
[edit]Reference
[edit]- "Arithmetic," in Domestic Encyclopædia, by A. F. M. Willich, London: (1802)
- "Arithmetic," in The American Cyclopædia (1879)
- "Mathematics," in The American Cyclopædia (1879)
- "Arithmetic," in The New International Encyclopædia, New York: Dodd, Mead and Co. (1905)
- "Mathematics," in The New International Encyclopædia, New York: Dodd, Mead and Co. (1905)
- "Arithmetic," by William Fleetwood Sheppard in Encyclopædia Britannica (11th ed., 1911)
- "Mathematics," by Alfred North Whitehead in Encyclopædia Britannica (11th ed., 1911)
- "Algebra," in The New Student's Reference Work, Chicago: F.E. Compton and Co. (1914)
- "Arago, Francois Jean Dominique," in The New Student's Reference Work, Chicago: F.E. Compton and Co. (1914)
- "Arithmetic," by Frank Morton McMurry in The New Student's Reference Work, Chicago: F.E. Compton and Co. (1914)
- "Algebra," in Collier's New Encyclopedia, New York: P. F. Collier & Son Co. (1921)
- "Arithmetic," in Collier's New Encyclopedia, New York: P. F. Collier & Son Co. (1921)
- "Mathematics," in Encyclopædia Britannica (12th ed., 1922)
External links
[edit]- Subclass QA on Project Gutenberg
- Call number QA on the Online Books Page
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