Mathematics (Bookshelf)
From Project Gutenberg, the first producer of free electronic books (ebooks).
Mathematics (colloquially, maths, or math in North American English) is the body of knowledge centered on concepts such as quantity, structure, space, and change, and also the academic discipline that studies them. Benjamin Peirce called it "the science that draws necessary conclusions". Steen and Devlin have argued that mathematics is the science of pattern and that mathematicians seek out patterns whether found in numbers, space, science, computers, or in imaginary abstractions.
—Excerpted from Mathematics on Wikipedia, the Free Encyclopedia.
Contents |
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History
- John Casey The First Six Books of the Elements of Euclid
(English)
- Alexander McFarlane Ten British Mathematicians (English)
- David Eugene Smith History of Modern Mathematics (English)
- Robert Steele (ed.) The Earliest Arthmetics in English (English)
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Logic
- George Boole An Investigation of the Laws of Thought (English)
- Louis Couturat The Algebra of Logic (English)
- Carveth Read Logic: Deductive and Inductive (English)
- St. George William Joseph Stock Deductive Logic (English)
- Ludwig Wittgenstein Tractatus Logico-Philosophicus (English)
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Constants
- A List of Factorial Math Constants (English)
- Miscellaneous Mathematical Constants ed. Simon Plouffe (English)
- Jerry Bonnell and Robert Nemiroff The Square Root of 2 (English)
- Jerry Bonnell and Robert Nemiroff The Square Root of 3 (English)
- Jerry Bonnell and Robert Nemiroff The Square Root of 5 (English)
- Jerry Bonnell and Robert Nemiroff The Square Root of 6 (English)
- Jerry Bonnell and Robert Nemiroff The Square Root of 7 (English)
- Jerry Bonnell and Robert Nemiroff The Square Root of 8 (English)
- Jerry Bonnell and Robert Nemiroff The Square Root of 10 (English)
- Jerry Bonnell and Robert Nemiroff The Golden Mean (English)
- Jerry Bonnell and Robert Nemiroff The Number "e" (English)
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Algebra
- Mary Everest Boole Philosophy and Fun of Algebra (English)
- Wallace C. Boyden A First Book in Algebra (English)
- Theodore Despeyrous Mémoire sur les équations résolubles algébriquement (French)
- Henry B. Fine The Number-System of Algebra (2nd edition) (English)
- Lewis Neikirk Groups of the Order p^m (English)
- Richard Donald Schafer An introduction to nonassociative algebras (1961) (English)
- Hermann Schubert Elementare Arithmetik und Algebra (German)
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Number Theory
- Robert Carmichael The Theory Of Numbers (English)
- Robert Carmichael Diophantine Analysis (English)
- Richard Dedekind Essays on the Theory of Numbers (English)
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Calculus
- Lennes/Veblen Introduction to Infinitesimal Analysis. Functions of one real variable (English)
- James McMahon Hyperbolic Functions (English)
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Geometry
- Archimedes Geometrical Solutions Derived from Mechanics; a Treatise of Archimedes (English)
- Julian Coolidge The Elements of non-Euclidean Geometry (English)
- George W. Hearn Researches on curves of the second order (English)
- David Hilbert The Foundations of Geometry (English)
- A. B. Kempe How to draw a straight line (English)
- Derrick Norman Lehmer An Elementary Course in Synthetic Projective Geometry (English)
- Henry Manning. Non-Euclidean Geometry (English)
- Theodor Reye Synthetische Geometrie der Kugeln und linearen Kugelsysteme (German)
- Emil Weyr Über die Geometrie der alten Ägypter (German)
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Trigonometry
- Isaac Todhunter Spherical Trigonometry (English)
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Elliptical Functions
- Charles Hermite Sur quelques applications des fonctions elliptiques (French)
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Misc
- Oliver Glenn A Treatise on the Theory of Invariants (English)
- Arthur Hathaway A Primer of Quaternions (English)
- Alexander McFarlane Vector Analysis and Quaternions (English)
- Felix Klein Ueber Riemann’s Theorie der Algebraischen Functionen (German)
- Sophus Lie Über Integralinvarianten und Differentialgleichungen (German)
- Alexander Macaulay Utility of Quaternions in Physics (English)
- Henri Poincaré Sechs Vorträge über ausgewählte Gegenstände aus der reinen Mathematik und mathematischen Physik (German/French)
- Richard Proctor Chance and Luck (English)
- Hermann Schubert Mathematical Essays and Recreations (English)
