En esta página se irá actualizando la bibliografía conforme avanza el curso.
- Takagi
A simple example of a continuous functions without a derivative.
Continuous nowhere differentiable Functions
2. Darboux
3. Koch
Classics on Fractals, Gerarld A. Edgar
4. McCarthy
An everywhere continuous function
5. Hilbert
Hacker’s Delight, Henry S. Warren
6. Lebesgue
7. Katsuura
8. Sierpinski
9. Existencia de funciones lineales no continuas
10. Función de Conway base 13
11. Lynch
D’Alembert
Enciclopedia Diderot – D’Alembert
Recherches sur la courbe que forme une corde tendue mise en vibration 1747
Suite des recherches sur la courbe que forme une corde tendue mise en vibration 1747
Addition au memoire sur la courbe que forme une corde tendue mise en vibration 1750
Dieudonné
Mathematics – The Music of Reason
History of Functional Analysis y Reseña
Euler (Euler Archive)
E19 – On transcendental progressions, that is, those whose general terms cannot be given algebraically
E45 – Addendum to the dissertation on infinite(ly many) curves of the same type
E101-102 – Introductio in analysin infinitorum
E140 – Sur la vibration des cordes
E212 – Foundations of Differential Calculus, with Applications to Finite Analysis and Series QA302 E8413
E322 – On the use of discontinuous functions in analysis
E342,366,385,660 – Foundations of Integral Calculus Vols. 1-4
00795 – Correspondencia con Goldbach
Luzin
Riemann
Youschkevitch
The concept of function up to the middle of the 19th century 1976
Otros
Euler’s definition of the derivative
The higher calculus : A history of real and complex analysis from euler to weierstrass. Umberto Bottazzini QA300 B6713
Scenes from the History of Real Functions. F.A. Medvedev QA331.5 M4313
Ferraro Analytical Symbols and Geometrical Figures in Eighteenth-Century Calculus
Ferraro 2 Functions, Functional Relations, and the Laws of Continuity in Euler
Seventeenth-Century Indivisibles Revisited Vincent Jullien