Gutenberg Mathematics Library

Algebra (17)

• A First Book in Algebra — Boyden, Wallace C. (Wallace Clarke), 1858-1937
• A Primer of Quaternions — Hathaway, Arthur S. (Arthur Stafford), 1855-1934
• A Review of Algebra — Rivenburg, Romeyn Henry
• A Treatise on the Theory of Invariants — Glenn, Oliver E. (Oliver Edmunds), 1878-
• An introduction to nonassociative algebras — Schafer, Richard D. (Richard Donald), 1918-2014
• Condensation of Determinants Being a New and Brief Method for Computing their Arithmetical Values — Carroll, Lewis, 1832-1898
• Elements of arithmetic — De Morgan, Augustus, 1806-1871
• First Course in the Theory of Equations — Dickson, Leonard E. (Leonard Eugene), 1874-1954
• Four Lectures on Mathematics, Delivered at Columbia University in 1911 — Hadamard, Jacques, 1865-1963
• Groups of the Order p^m Which Contain Cyclic Subgroups of Order p^(m-3) — Neikirk, Lewis Irving, 1873-
• On Multiple Algebra — Gibbs, J. Willard (Josiah Willard), 1839-1903
• On Riemann's Theory of Algebraic Functions and their Integrals A Supplement to the Usual Treatises — Klein, Felix, 1849-1925; Hardcastle, Frances [Translator]
• The First Steps in Algebra — Wentworth, G. A. (George Albert), 1835-1906
• The Romance of Mathematics Being the Original Researches of a Lady Professor of Girtham College in Polemical Science, with some Account of the Social — Ditchfield, P. H. (Peter Hampson), 1854-1930
• Theory of Groups of Finite Order — Burnside, William, 1852-1927
• Utility of Quaternions in Physics — McAulay, Alex. (Alexander), 1863-1931
• Vector Analysis and Quaternions — Macfarlane, Alexander, 1851-1913

Analysis & Calculus (10)

• A Course of Pure Mathematics Third Edition — Hardy, G. H. (Godfrey Harold), 1877-1947
• An Elementary Treatise on Fourier's Series and Spherical, Cylindrical, and Ellipsoidal Harmonics With Applications to Problems in Mathematical Physics — Byerly, William Elwood, 1849-1935
• Calculus Made Easy Being a very-simplest introduction to those beautiful methods which are generally called by the terrifying names of the Differentia — Thompson, Silvanus P. (Silvanus Phillips), 1851-1916
• Elementary Illustrations of the Differential and Integral Calculus — De Morgan, Augustus, 1806-1871
• Elliptic Functions: An Elementary Text-Book for Students of Mathematics — Baker, Arthur Latham, 1853-1934
• Hyperbolic Functions — McMahon, James, 1856-1922
• Introduction to Infinitesimal Analysis; Functions of One Real Variable — Veblen, Oswald, 1880-1960; Lennes, N. J. (Nels Johann), 1874-
• Orders of Infinity: The 'Infinitärcalcül' of Paul Du Bois-Reymond — Hardy, G. H. (Godfrey Harold), 1877-1947
• Sketch of the Analytical Engine invented by Charles Babbage, Esq. — Menabrea, Luigi Federico, 1809-1896; Lovelace, Ada King, Countess of, 1815-1852 [Translator]
• The Integration of Functions of a Single Variable — Hardy, G. H. (Godfrey Harold), 1877-1947; Hall, Philip, 1904-1982 [Editor]; Smithies, F. (Frank), 1912-2002 [Editor]

Applied Mathematics & Physics (17)

• A Preliminary Dissertation on the Mechanisms of the Heavens — Somerville, Mary, 1780-1872
• Elementary Principles of Statistical Mechanics Developed with Especial Reference to the Rational Foundation of Thermodynamics — Gibbs, J. Willard (Josiah Willard), 1839-1903
• Five of Maxwell's Papers — Maxwell, James Clerk, 1831-1879
• Instruction for Using a Slide Rule — Stanley, W.
• Mathematical Geography — Johnson, Willis E. (Willis Ernest), 1869-1951
• Notes on Recent Researches in Electricity and Magnetism Intended as a Sequel to Professor Clerk-Maxwell's Treatise on Electricity and Magnetism — Thomson, J. J. (Joseph John), 1856-1940
• On a Dynamical Top, for exhibiting the phenomena of the motion of a system of invariable form about a fixed point, with some suggestions as to the Ear — Maxwell, James Clerk, 1831-1879
• On the distribution of intensity in stellar absorption lines — Payne-Gaposchkin, Cecilia, 1900-1979; Shapley, Harlow, 1885-1972
• Our Calendar The Julian calendar and its errors. How corrected by the Gregorian. Rules for finding the dominical letter, and the day of the week of an — Packer, George Nichols
• Space—Time—Matter — Weyl, Hermann, 1885-1955; Brose, Henry L. (Henry Leopold), 1890-1965 [Translator]
• Stellar atmospheres — Payne-Gaposchkin, Cecilia, 1900-1979; Shapley, Harlow, 1885-1972 [Editor]
• The Mathematical Theory of Relativity — Eddington, Arthur Stanley, Sir, 1882-1944
• The Meaning of Relativity Four lectures delivered at Princeton University, May, 1921 — Einstein, Albert, 1879-1955; Adams, Edwin P. (Edwin Plimpton), 1878-1956 [Translator]
• The Molecular Tactics of a Crystal — Kelvin, William Thomson, Baron, 1824-1907
• The Theory of the Relativity of Motion — Tolman, Richard C. (Richard Chace), 1881-1948
• The slide rule — Pickworth, Charles N. (Charles Newton), 1861-1955
• Treatise on Thermodynamics — Planck, Max, 1858-1947; Ogg, Alexander [Translator]

Foundations, Logic & Philosophy (28)

• An Investigation of the Laws of Thought On which are founded the mathematical theories of logic and probabilities — Boole, George, 1815-1864
• An essay on the foundations of geometry — Russell, Bertrand, 1872-1970
• Conversations on Natural Philosophy, in which the Elements of that Science are Familiarly Explained — Marcet, Mrs. (Jane Haldimand), 1769-1858; Jones, Thomas P.
• Deductive Logic — Stock, St. George William Joseph, 1850-
• First notions of logic (preparatory to the study of geometry) — De Morgan, Augustus, 1806-1871
• Grounds of Natural Philosophy: Divided into Thirteen Parts The Second Edition, much altered from the First, which went under the Name of Philosophical — Newcastle, Margaret Cavendish, Duchess of, 1624?-1674
• Introduction to Mathematical Philosophy — Russell, Bertrand, 1872-1970
• Logic: Deductive and Inductive — Read, Carveth, 1848-1931
• Mathematical Essays and Recreations — Schubert, Hermann, 1848-1911; McCormack, Thomas J. (Thomas Joseph), 1865-1932 [Translator]
• Mathematical Problems — Hilbert, David, 1862-1943; Newson, Mary Frances Winston, 1869-1959 [Translator]
• Mysticism and Logic and Other Essays — Russell, Bertrand, 1872-1970
• On the theory of the infinite in modern thought — Jourdain, Eleanor F. (Eleanor Frances), 1863-1924; Jourdain, Philip E. B. (Philip Edward Bertrand), 1879-1919 [Contributor]
• Philosophy and Fun of Algebra — Boole, Mary Everest, 1832-1916
• Principia mathematica, vol. 1 (of 3) — Whitehead, Alfred North, 1861-1947; Russell, Bertrand, 1872-1970
• Principia mathematica, vol. 2 (of 3) — Whitehead, Alfred North, 1861-1947; Russell, Bertrand, 1872-1970
• Science and hypothesis — Poincaré, Henri, 1854-1912; Larmor, Joseph, 1857-1942 [Author of introduction, etc.]; Greenstreet, W. J. (William John), 1861-1930 [Translator]
• Symbolic Logic — Carroll, Lewis, 1832-1898
• The Algebra of Logic — Couturat, Louis, 1868-1914; Jourdain, Philip E. B. (Philip Edward Bertrand), 1879-1919 [Author of introduction, etc.]; Robinson, Lydia Gillingham, 1875- [Translator]
• The Foundations of Geometry — Hilbert, David, 1862-1943; Townsend, E. J. (Edgar Jerome), 1864-1955 [Translator]
• The Foundations of Mathematics: A Contribution to the Philosophy of Geometry — Carus, Paul, 1852-1919
• The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method — Poincaré, Henri, 1854-1912; Royce, Josiah, 1855-1916 [Author of introduction, etc.]; Halsted, George Bruce, 1853-1922 [Translator]
• The Game of Logic — Carroll, Lewis, 1832-1898
• The Logic of Chance, 3rd edition An Essay on the Foundations and Province of the Theory of Probability, With Especial Reference to Its Logical Bearing — Venn, John, 1834-1923
• The Mathematical Analysis of Logic Being an Essay Towards a Calculus of Deductive Reasoning — Boole, George, 1815-1864
• The Mathematicall Praeface to Elements of Geometrie of Euclid of Megara — Dee, John, 1527-1608
• The Second Story of Meno A Continuation of Socrates' Dialogue with Meno in Which the Boy Proves Root 2 is Irrational — Unknown
• The calculus of logic — Boole, George, 1815-1864
• The philosophy of mathematics — Comte, Auguste, 1798-1857; Gillespie, W. M. (William Mitchell), 1816-1868 [Translator]

General & Miscellaneous (5)

• An Introduction to Mathematics — Whitehead, Alfred North, 1861-1947
• Archimedes — Heath, Thomas Little, Sir, 1861-1940
• Lectures on Elementary Mathematics — Lagrange, J. L. (Joseph Louis), 1736-1813; McCormack, Thomas J. (Thomas Joseph), 1865-1932 [Translator]
• The Psychology of Arithmetic — Thorndike, Edward L. (Edward Lee), 1874-1949
• The Quarterly Journal of Science, Literature and the Arts, July-December, 1827 — Various

Geometry (29)

• An Elementary Course in Synthetic Projective Geometry — Lehmer, Derrick Norman, 1867-1938
• Conic Sections: Treated Geometrically and, George Bell and Sons Educational Catalogue — Besant, W. H. (William Henry), 1828-1917
• Curiosa mathematica, Part 1 — Carroll, Lewis, 1832-1898
• Curiosa mathematica, part II — Carroll, Lewis, 1832-1898
• Elements of Plane Trigonometry For the use of the junior class of mathematics in the University of Glasgow — Blackburn, Hugh, 1823-1909
• Encyclopaedia Britannica, 11th Edition, "Geodesy" to "Geometry" Volume 11, Slice 6 — Various
• Euclid's Book on Divisions of Figures With a Restoration Based on Woepcke's Text and on the Practica Geometriae of Leonardo Pisano — Archibald, Raymond Clare, 1875-1955; Euclid; Fibonacci, Leonardo, 1170?-1240?; Woepcke, Franz, 1826-1864
• Flatland: A Romance of Many Dimensions — Abbott, Edwin Abbott, 1838-1926
• Flatland: A Romance of Many Dimensions — Abbott, Edwin Abbott, 1838-1926
• Four-Dimensional Vistas — Bragdon, Claude Fayette, 1866-1946
• General Investigations of Curved Surfaces of 1827 and 1825 — Gauss, Carl Friedrich, 1777-1855; Hiltebeitel, Adam Miller [Translator]; Morehead, James Caddall [Translator]
• Geometrical Solutions Derived from Mechanics; a Treatise of Archimedes — Archimedes, 281? BCE-212? BCE; Smith, David Eugene, 1860-1944 [Author of introduction, etc.]; Heiberg, J. L. (Johan Ludvig), 1854-1928 [Translator]; Robinson, Lydia Gillingham, 1875- [Translator]
• How to Draw a Straight Line: A Lecture on Linkages — Kempe, A. B. (Alfred Bray), 1849-1922
• Marks' first lessons in geometry In two parts. Objectively presented, and designed for the use of primary classes in grammar schools, academies, etc. — Marks, Bernhard, 1832-1913
• Non-Euclidean Geometry — Manning, Henry Parker, 1859-1956
• On the study and difficulties of mathematics — De Morgan, Augustus, 1806-1871
• Plane Geometry — Wentworth, G. A. (George Albert), 1835-1906
• Researches on curves of the second order Also on cones and spherical conics treated analytically, in which the tangencies of Apollonius are investigat — Hearn, George Whitehead, 1812-1851
• Solid Geometry with Problems and Applications (Revised edition) — Slaught, H. E. (Herbert Ellsworth), 1861-1937; Lennes, N. J. (Nels Johann), 1874-
• Spherical Trigonometry: For the Use of Colleges and Schools — Todhunter, I. (Isaac), 1820-1884
• The Elements of Perspective arranged for the use of schools and intended to be read in connection with the first three books of Euclid — Ruskin, John, 1819-1900
• The Elements of non-Euclidean Geometry — Coolidge, Julian Lowell, 1873-1954
• The First Six Books of the Elements of Euclid — Euclid; Casey, John, 1820-1891
• The Path-Way to Knowledg, Containing the First Principles of Geometrie — Record, Robert, 1510?-1558
• The Seven Follies of Science [2nd ed.] A popular account of the most famous scientific impossibilities and the attempts which have been made to solve — Phin, John, 1830-1913
• The Teaching of Geometry — Smith, David Eugene, 1860-1944
• The Way To Geometry — Ramus, Petrus, 1515-1572; Bedwell, William, 1561?-1632 [Translator]
• The mystery of space — Browne, Robert T.
• The philosophical and mathematical commentaries of Proclus on the first book of Euclid's elements (Vol. 1 of 2) — Proclus, 412-485; Taylor, Thomas, 1758-1835 [Translator]

History & Biography (38)

• A Budget of Paradoxes, Volume II — De Morgan, Augustus, 1806-1871; Smith, David Eugene, 1860-1944 [Editor]
• A History of Mathematics — Cajori, Florian, 1859-1930
• A Short Account of the History of Mathematics — Ball, W. W. Rouse (Walter William Rouse), 1850-1925
• An Enquiry into the Life and Legend of Michael Scot — Brown, J. Wood (James Wood)
• Autobiography of Sir George Biddell Airy — Airy, George Biddell, 1801-1892; Airy, Wilfrid, 1836-1925 [Editor]
• Eminent literary and scientific men of Italy, Spain, and Portugal. Vol. 1 (of 3) — Montgomery, James; Shelley, Mary Wollstonecraft, 1797-1851; Lardner, Dionysius, 1793-1859 [Editor]
• Eminent literary and scientific men of Italy, Spain, and Portugal. Vol. 2 (of 3) — Montgomery, James; Shelley, Mary Wollstonecraft, 1797-1851; Lardner, Dionysius, 1793-1859 [Editor]
• Eminent literary and scientific men of Italy, Spain, and Portugal. Vol. 3 (of 3) — Montgomery, James; Shelley, Mary Wollstonecraft, 1797-1851; Lardner, Dionysius, 1793-1859 [Editor]
• Florence Nightingale to Her Nurses A selection from Miss Nightingale's addresses to probationers and nurses of the Nightingale school at St. Thomas's — Nightingale, Florence, 1820-1910; Nash, Rosalind Nightingale, 1862-1952 [Editor]
• History of Modern Mathematics Mathematical Monographs No. 1 — Smith, David Eugene, 1860-1944
• Jerome Cardan: A Biographical Study — Waters, W. G. (William George), 1844-1928
• Lectures on Ten British Mathematicians of the Nineteenth Century — Macfarlane, Alexander, 1851-1913
• Lives of the most eminent literary and scientific men of France, Vol. 1 (of 2) — Shelley, Mary Wollstonecraft, 1797-1851; Lardner, Dionysius, 1793-1859 [Editor]
• Lives of the most eminent literary and scientific men of France, Vol. 2 (of 2) — Shelley, Mary Wollstonecraft, 1797-1851; Lardner, Dionysius, 1793-1859 [Editor]
• Maria Mitchell: Life, Letters, and Journals — Mitchell, Maria, 1818-1889; Kendall, Phebe Mitchell [Compiler]
• Mathematical Recreations and Essays — Ball, W. W. Rouse (Walter William Rouse), 1850-1925
• Memorabilia Mathematica; or, the Philomath's Quotation-Book — Moritz, Robert Édouard, 1868-1940 [Compiler]
• Miscellanea Curiosa, Vol. 1 Containing a collection of some of the principal phaenomena in nature, accounted for by the greatest philosophers of this — Halley, Edmond, 1656-1742 [Editor]; Fontenelle, M. de (Bernard Le Bovier), 1657-1757 [Contributor]; Garden, George, 1649-1733 [Contributor]; Havers, Clopton, -1702 [Contributor]; Mead, Richard, 1673-1754 [Contributor]; Newton, Isaac, 1642-1727 [Contributor]; Royal Society (Great Britain) [Contributor]; Wallis, John, 1616-1703 [Contributor]
• Of the Just Shaping of Letters — Dürer, Albrecht, 1471-1528; Nichol, R. T. [Translator]
• On Molecular and Microscopic Science, Volume 1 (of 2) — Somerville, Mary, 1780-1872
• On Molecular and Microscopic Science, Volume 2 (of 2) — Somerville, Mary, 1780-1872
• On the History of Gunter's Scale and the Slide Rule During the Seventeenth Century — Cajori, Florian, 1859-1930
• Pascal — Tulloch, John, 1823-1886; Oliphant, Mrs. (Margaret), 1828-1897 [Editor]
• Passages from the Life of a Philosopher — Babbage, Charles, 1791-1871
• Philosophical Letters: or, modest Reflections upon some Opinions in Natural Philosophy — Newcastle, Margaret Cavendish, Duchess of, 1624?-1674
• Pierre Curie — Curie, Marie, 1867-1934; Meloney, Marie Mattingly, 1883-1943 [Author of introduction, etc.]; Kellogg, Charlotte, 1874-1960 [Translator]; Kellogg, Vernon L. (Vernon Lyman), 1867-1937 [Translator]
• Sir Christopher Wren — Weaver, Lawrence, 1876-1930
• Syria, the Desert & the Sown — Bell, Gertrude Lowthian, 1868-1926; Sargent, John Singer, 1856-1925 [Illustrator]
• Ten Days in a Mad-House; or, Nellie Bly's Experience on Blackwell's Island. Feigning Insanity in Order to Reveal Asylum Horrors. The Trying Ordeal of — Bly, Nellie, 1864-1922
• The Academic Gregories — Stewart, Agnes Grainger, 1871-1956; Brown, Joseph [Illustrator]
• The Earliest Arithmetics in English — Steele, Robert, 1860-1944 [Editor]; Alexander, de Villa Dei [Contributor]; Record, Robert, 1510?-1558 [Contributor]; Sacro Bosco, Joannes de, active 1230 [Contributor]
• The Evanston Colloquium: Lectures on Mathematics Delivered From Aug. 28 to Sept. 9, 1893 Before Members of the Congress of Mathematics Held in Connect — Klein, Felix, 1849-1925; Ziwet, Alexander, 1853-1928 [Editor]
• The Kansas University Quarterly, Vol. I, No. 2, October 1892 — Various; Kellogg, Vernon L. (Vernon Lyman), 1867-1937 [Editor]
• The Life and Letters of Lewis Carroll (Rev. C. L. Dodgson) — Collingwood, Stuart Dodgson, 1870-1937
• The calculating engine — Babbage, Charles, 1791-1871
• The evolution of mathematical physics — Lamb, Horace, Sir, 1849-1934
• The number-system of algebra treated theoretically and historically (2nd edition) — Fine, Henry B. (Henry Burchard), 1858-1928
• William Oughtred: A Great Seventeenth-Century Teacher of Mathematics — Cajori, Florian, 1859-1930

Number Theory & Constants (21)

• A List of Factorial Math Constants — Unknown
• A Possible Solution of the Number Series on Pages 51 to 58 of the Dresden Codex — Guthe, Carl E. (Carl Eugen), 1893-1974
• Catalan's Constant [Ramanujan's Formula] — Fee, Greg
• Catalan's Constant to 1,500,000 Places — Unknown
• Diophantine Analysis — Carmichael, R. D. (Robert Daniel), 1879-1967
• Essays on the Theory of Numbers — Dedekind, Richard, 1831-1916; Beman, Wooster Woodruff, 1850-1922 [Translator]
• Miscellaneous Mathematical Constants — Plouffe, Simon, 1956- [Editor]
• Remarks upon the solar and the lunar years, the cycle of 19 years, commonly called the golden number, the epact, and a method of finding the time of E — Macclesfield, George Parker, Earl of, 1697?-1764
• Some Famous Problems of the Theory of Numbers and in Particular Waring's Problem An Inaugural Lecture delivered before the University of Oxford — Hardy, G. H. (Godfrey Harold), 1877-1947
• The 32nd Mersenne Prime Predicted by Mersenne — Slowinski, David
• The Fibonacci Number Series — Husted, Michael
• The First 1000 Euler Numbers — Plouffe, Simon, 1956- [Editor]
• The First 1001 Fibonacci Numbers — Plouffe, Simon, 1956- [Editor]
• The First 498 Bernoulli Numbers — Plouffe, Simon, 1956- [Editor]
• The Golden Mean or Ratio[(1+sqrt(5))/2] To 20,000 places — Unknown
• The Hindu-Arabic Numerals — Smith, David Eugene, 1860-1944; Karpinski, Louis Charles, 1878-1956
• The Number "e" — Unknown
• The Number Concept: Its Origin and Development — Conant, Levi L. (Levi Leonard), 1857-1916
• The Theory of Numbers — Carmichael, R. D. (Robert Daniel), 1879-1967
• The Value of Zeta(3) to 1,000,000 places — Plouffe, Simon, 1956- [Editor]
• The golden mean — Bonnell, Jerry T.; Nemiroff, Robert J.

Probability & Statistics (2)

• A Philosophical Essay on Probabilities — Laplace, Pierre Simon, marquis de, 1749-1827; Emory, Frederick Lincoln, 1867-1919 [Translator]; Truscott, Frederick Wilson, 1870- [Translator]
• A Treatise on Probability — Keynes, John Maynard, 1883-1946

Recreational Mathematics & Puzzles (9)

• A Scrap-Book of Elementary Mathematics: Notes, Recreations, Essays — White, William Frank, 1871-
• A Tangled Tale — Carroll, Lewis, 1832-1898; Frost, A. B. (Arthur Burdett), 1851-1928 [Illustrator]
• Amusements in Mathematics — Dudeney, Henry Ernest, 1857-1930
• Campanalogia — Stedman, Fabian, 1640-1713
• Chance and Luck — Proctor, Richard A. (Richard Anthony), 1837-1888
• How to become a lightning calculator — Anonymous
• The Canterbury Puzzles, and Other Curious Problems — Dudeney, Henry Ernest, 1857-1930
• The puzzle king — Scott, John
• Topics on Tournaments — Moon, John W.