math – update

What is Calculus??…

Actually, I seriously answered this question to myself the first time I lectured My First Calculus course. I remember Continue reading

G. Cantor – VITA MATHEMATICA

“En Mathematica El Arte De Proponer Preguntas Es Más Importante Que El Arte De Resolverlas” – G. Cantor

GEORGE CANTOR presentó en 1867 – con sólo 22 años y viéndose increíblemente atractivo ❤ – su tesis doctoral. El trabajo era sobre las investigaciones de LAGRANGE, GAUSS and LEGENDRE a cerca de la ecuación diofántica  aX^2 + bX^2 + cX^2 = 0. Notable es la visión del mundo matemático de su tesis filosófica:

“In re mathematica ars proponendi quaestionen pluris facienda est quam solvendi”

Referencias: George Cantor, VITA MATHEMATICA, Birkhäuser, 1987.

Math Story & Creation III

As we wrote in Part I and Part II  thanks to the study of the Fourier Series, concepts such as those of Function, Continuity or Integral were for the first time exactly and generally given to the math world!

But even more, it turns out that also CANTOR drew from questions about these series the decisive stimulation for his impressing life’s work! Continue reading

Math Story & Creation II

Well, we already wrote in Part I about how the trigonometric series influenced the final statement of the concepts of function & continuity the way we know them today. But this is just the beginning!

In RIEMANN‘s Habilitation work (1854) he considered the inverse question related to the problem of the representation of a function by its Fourier Series, this is Continue reading

Math Story & Creation I

Actually, I wanted to write about Cantor, but then I realized that I would better like to tell about a notable example of how a deep, general & fundamental mathematical concept may influence the math creation, not only by inspiring novel ideas – and the creation of new math – but also by finally achieving the exact and lasting establishment of old ones.

Even professional mathematicians are many times Continue reading

History of Indian Mathematics (Part 1 and 2)

Du Sautoy was awarded the Berwick Prize in 2001 by the London Mathematical Society for the publication of outstanding mathematical research. In 2009 he won the Michael Faraday Prize from the Royal Society of London for “excellence in communicating science to UK audiences”. Du Sautoy was appointed Officer of the Order of the British Empire (OBE) in the 2010 New Year Honours “for services to Science”.[14] In 2012 he became a fellow of the American Mathematical Society.[15]

The mathematician Marcus du Sautoy looks for the beginnings of math in India … Among others, at the contribution of Ancient Indians like Aryabhata, Brahmagupta, Bhaskara,

Math: A Myth??… (III)

So far, so good! But if we don´t need to be a genius to succeed in our school or college math… What do we need??…