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Μάθημα : 694. Ιστορική Εξέλιξη του Απειροστικού Λογισμού

Κωδικός : MATH507

694. Ιστορική Εξέλιξη του Απειροστικού Λογισμού

MATH507  -  Απόστολος Γιαννόπουλος

Έγγραφα

Αρχικός κατάλογος 05. Θέματα για εργασίες
Ακύρωση
Όνομα Μέγεθος Ημερομηνία
001. Eudoxus' axiom and Archimedes' lemma
Νίκος Καρατζάς
0 B 13/4/17, 3:00 μ.μ.
002. On the area of a semi-circle
0 B 13/4/17, 2:39 μ.μ.
003. On the value equivalent to π in ancient mathematical texts
0 B 13/4/17, 2:40 μ.μ.
004. The discovery of incommensurability by Hippasus of Metapontum
0 B 13/4/17, 2:40 μ.μ.
005. Archimedes and the measurement of the circle: a new interpretation
0 B 13/4/17, 2:40 μ.μ.
006. Archimedes and the spirals: the heuristic background
0 B 13/4/17, 2:40 μ.μ.
007. Kerala school of Mathematics
0 B 13/4/17, 2:41 μ.μ.
008. The Discovery of the Series Formula for π by Leibniz, Gregory and Nilakantha
0 B 13/4/17, 2:41 μ.μ.
009. D. T. Whitesize: Patterns of Mathematical Thought in the later Seventeenth Century
0 B 13/4/17, 2:41 μ.μ.
010. P. Stromhold: Fermat's Methods of Maxima and Minima and of Tangents. A Reconstruction
0 B 13/4/17, 2:42 μ.μ.
011. E. Giusti: Les methodes des maxima et minima de Fermat
0 B 13/4/17, 2:42 μ.μ.
012. Fermat: the mysteries of Adaequare
0 B 13/4/17, 2:43 μ.μ.
013. Descartes and the cylindrical helix
0 B 13/4/17, 2:44 μ.μ.
014. Descartes: what he knew of mathematics in 1628
0 B 13/4/17, 2:44 μ.μ.
015. John Wallis and the French: his quarrels with Fermat, Pascal, Dulaurens, and Descartes
0 B 13/4/17, 2:44 μ.μ.
016. Gregory's convergent double sequence
0 B 13/4/17, 2:45 μ.μ.
017. Alphonse Antonio de Sarasa and Logarithms
0 B 13/4/17, 2:45 μ.μ.
018. Kepler’s area law in the Principia
0 B 13/4/17, 2:46 μ.μ.
019. Newton and the Notion of Limit
0 B 13/4/17, 2:46 μ.μ.
020. Newton: Passage to the limit
0 B 13/4/17, 2:46 μ.μ.
021. Newton’s Solution to the Equiangular Spiral Problem
0 B 13/4/17, 2:46 μ.μ.
022. Newton’s attempt to construct a unitary view of mathematics
0 B 13/4/17, 2:47 μ.μ.
023. The Inverse Method of Tangents: A Dialogue between Leibniz and Newton (1675-1677)
0 B 13/4/17, 2:47 μ.μ.
024. Infinitesimals in the foundations of Newton’s mechanics
0 B 13/4/17, 2:48 μ.μ.
025. Leibniz: rectification of quadratures as a central foundational problem for his early calculus
0 B 13/4/17, 2:48 μ.μ.
026. Leibniz’s invention of Characteristica Geometrica: The problem of Desargues’ influence
0 B 13/4/17, 2:48 μ.μ.
027. Leibniz’s passage from algebraic to “transcendental” mathematics
0 B 13/4/17, 2:49 μ.μ.
028. Leibniz and Differential Equations
0 B 13/4/17, 2:49 μ.μ.
029. Godel and Leibniz' notion of infinitesimals
0 B 13/4/17, 2:49 μ.μ.
030. Dogdson and arctangent relations for π
0 B 13/4/17, 2:50 μ.μ.
031. The Metaphysics of the Calculus: A Foundational Debate in the Paris Academy of Sciences, 1700-1706
0 B 13/4/17, 2:50 μ.μ.
032. Thomas Simpson: Weaving fluxions in 18th-century London
0 B 13/4/17, 2:50 μ.μ.
033. The 1740 Resolution of the Fermat-Descartes Controversy
0 B 13/4/17, 2:51 μ.μ.
034. Convergence and formal manipulation in the theory of series from 1730 to 1815
0 B 13/4/17, 2:51 μ.μ.
035. Algebraic Analysis in Germany, 1740-1840
0 B 13/4/17, 2:51 μ.μ.
036. Berkeley's arguments on compensating errors in the Calculus
0 B 13/4/17, 2:52 μ.μ.
037. Euler and continuous fractions
0 B 13/4/17, 2:52 μ.μ.
038. Euler and differentials
0 B 13/4/17, 2:52 μ.μ.
039. Euler and the Theory of Series: Inexplicable Functions and the Euler–Maclaurin Summation Formula
0 B 13/4/17, 2:53 μ.μ.
040. Euler: isoperimetric problems and variational calculus
0 B 13/4/17, 2:53 μ.μ.
041. Euler: use and understanding of mathematical transcendence
0 B 13/4/17, 2:53 μ.μ.
042. Euler's Troublesome Series: An Early Example of the Use of Trigonometric Series
0 B 13/4/17, 2:53 μ.μ.
043. Functions, Functional Relations, and the Laws of Continuity in Euler
0 B 13/4/17, 2:54 μ.μ.
044. Developing into series and returning from series: A note on the foundations of eighteenth-century analysis
0 B 13/4/17, 2:54 μ.μ.
045. Katz - The Calculus of Trigonometric Functions
0 B 13/4/17, 2:54 μ.μ.
046. Lagrange’s Algebraic Vision of the Calculus
0 B 13/4/17, 2:55 μ.μ.
047. Bolzano and his contemporaries
0 B 13/4/17, 2:55 μ.μ.
048. Bolzano and uniform continuity
0 B 13/4/17, 2:55 μ.μ.
049. E. Freudenthal: Did Cauchy plagiarize Bolzano?
0 B 13/4/17, 2:56 μ.μ.
050. Cauchy and infinitely small quantities in his textbooks
0 B 13/4/17, 2:56 μ.μ.
051. Cauchy: the introduction of Cours d'Analyse
0 B 13/4/17, 2:56 μ.μ.
052. Cauchy: theorems that admit exceptions
0 B 13/4/17, 2:56 μ.μ.
053. Exceptions and counterexamples: Abel's comment on Cauchy's theorem
0 B 13/4/17, 2:57 μ.μ.
054. Calculus and Analysis in Early 19th-Century Britain: The Work of William Wallace
0 B 13/4/17, 2:57 μ.μ.
055. Riemann and the Cauchy-Hadamard Formula for the Convergence of Power Series
0 B 13/4/17, 2:57 μ.μ.
056. On the relations between Cantor and Dedekind
0 B 13/4/17, 2:57 μ.μ.
057. Chebyshev and Western Europe
0 B 13/4/17, 2:58 μ.μ.
058. Hardy and British Analysis in the early 20th century
0 B 13/4/17, 2:58 μ.μ.
059. Moore - The emergence of open sets, closed sets, and limit points in analysis and topology
0 B 13/4/17, 2:58 μ.μ.
060. Moore - The evolution of the concept of homeomorphism
0 B 13/4/17, 2:58 μ.μ.
061. The Establishment of Functional Analysis
0 B 13/4/17, 2:59 μ.μ.
101. Oresme's Proof of the Density of Rotations of a Circle through an Irrational Angle
0 B 13/4/17, 2:59 μ.μ.