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001. Eudoxus' axiom and Archimedes' lemma
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002. On the area of a semi-circle | | 13/4/17 | |
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003. On the value equivalent to π in ancient mathematical texts | | 13/4/17 | |
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004. The discovery of incommensurability by Hippasus of Metapontum | | 13/4/17 | |
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005. Archimedes and the measurement of the circle: a new interpretation | | 13/4/17 | |
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006. Archimedes and the spirals: the heuristic background | | 13/4/17 | |
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007. Kerala school of Mathematics | | 13/4/17 | |
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008. The Discovery of the Series Formula for π by Leibniz, Gregory and Nilakantha | | 13/4/17 | |
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009. D. T. Whitesize: Patterns of Mathematical Thought in the later Seventeenth Century | | 13/4/17 | |
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010. P. Stromhold: Fermat's Methods of Maxima and Minima and of Tangents. A Reconstruction | | 13/4/17 | |
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011. E. Giusti: Les methodes des maxima et minima de Fermat | | 13/4/17 | |
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012. Fermat: the mysteries of Adaequare | | 13/4/17 | |
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013. Descartes and the cylindrical helix | | 13/4/17 | |
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014. Descartes: what he knew of mathematics in 1628 | | 13/4/17 | |
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015. John Wallis and the French: his quarrels with Fermat, Pascal, Dulaurens, and Descartes | | 13/4/17 | |
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016. Gregory's convergent double sequence | | 13/4/17 | |
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017. Alphonse Antonio de Sarasa and Logarithms | | 13/4/17 | |
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018. Kepler’s area law in the Principia | | 13/4/17 | |
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019. Newton and the Notion of Limit | | 13/4/17 | |
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020. Newton: Passage to the limit | | 13/4/17 | |
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021. Newton’s Solution to the Equiangular Spiral Problem | | 13/4/17 | |
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022. Newton’s attempt to construct a unitary view of mathematics | | 13/4/17 | |
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023. The Inverse Method of Tangents: A Dialogue between Leibniz and Newton (1675-1677) | | 13/4/17 | |
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024. Infinitesimals in the foundations of Newton’s mechanics | | 13/4/17 | |
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025. Leibniz: rectification of quadratures as a central foundational problem for his early calculus | | 13/4/17 | |
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026. Leibniz’s invention of Characteristica Geometrica: The problem of Desargues’ influence | | 13/4/17 | |
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027. Leibniz’s passage from algebraic to “transcendental” mathematics | | 13/4/17 | |
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028. Leibniz and Differential Equations | | 13/4/17 | |
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029. Godel and Leibniz' notion of infinitesimals | | 13/4/17 | |
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030. Dogdson and arctangent relations for π | | 13/4/17 | |
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031. The Metaphysics of the Calculus: A Foundational Debate in the Paris Academy of Sciences, 1700-1706 | | 13/4/17 | |
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032. Thomas Simpson: Weaving fluxions in 18th-century London | | 13/4/17 | |
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033. The 1740 Resolution of the Fermat-Descartes Controversy | | 13/4/17 | |
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034. Convergence and formal manipulation in the theory of series from 1730 to 1815 | | 13/4/17 | |
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035. Algebraic Analysis in Germany, 1740-1840 | | 13/4/17 | |
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036. Berkeley's arguments on compensating errors in the Calculus | | 13/4/17 | |
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037. Euler and continuous fractions | | 13/4/17 | |
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038. Euler and differentials | | 13/4/17 | |
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039. Euler and the Theory of Series: Inexplicable Functions and the Euler–Maclaurin Summation Formula | | 13/4/17 | |
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040. Euler: isoperimetric problems and variational calculus | | 13/4/17 | |
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041. Euler: use and understanding of mathematical transcendence | | 13/4/17 | |
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042. Euler's Troublesome Series: An Early Example of the Use of Trigonometric Series | | 13/4/17 | |
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043. Functions, Functional Relations, and the Laws of Continuity in Euler | | 13/4/17 | |
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044. Developing into series and returning from series: A note on the foundations of eighteenth-century analysis | | 13/4/17 | |
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045. Katz - The Calculus of Trigonometric Functions | | 13/4/17 | |
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046. Lagrange’s Algebraic Vision of the Calculus | | 13/4/17 | |
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047. Bolzano and his contemporaries | | 13/4/17 | |
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048. Bolzano and uniform continuity | | 13/4/17 | |
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049. E. Freudenthal: Did Cauchy plagiarize Bolzano? | | 13/4/17 | |
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050. Cauchy and infinitely small quantities in his textbooks | | 13/4/17 | |
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051. Cauchy: the introduction of Cours d'Analyse | | 13/4/17 | |
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052. Cauchy: theorems that admit exceptions | | 13/4/17 | |
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053. Exceptions and counterexamples: Abel's comment on Cauchy's theorem | | 13/4/17 | |
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054. Calculus and Analysis in Early 19th-Century Britain: The Work of William Wallace | | 13/4/17 | |
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055. Riemann and the Cauchy-Hadamard Formula for the Convergence of Power Series | | 13/4/17 | |
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056. On the relations between Cantor and Dedekind | | 13/4/17 | |
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057. Chebyshev and Western Europe | | 13/4/17 | |
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058. Hardy and British Analysis in the early 20th century | | 13/4/17 | |
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059. Moore - The emergence of open sets, closed sets, and limit points in analysis and topology | | 13/4/17 | |
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060. Moore - The evolution of the concept of homeomorphism | | 13/4/17 | |
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061. The Establishment of Functional Analysis | | 13/4/17 | |
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101. Oresme's Proof of the Density of Rotations of a Circle through an Irrational Angle | | 13/4/17 | |
