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However, this view varies depending on personal and cultural beliefs. In summary,
the relationship between mathematics, faith and spirituality is a profound and
subjective topic. Everyone can find meaning and beauty in different ways, and
Pigreco and the golden ratio continue to inspire reflections on our surroundings.
A mathematician is “an explorer of the infinite,” as the mathematician J. H. Hardy
said. And Srinivasa Ramanujan was the man who "saw" the infinite with his
fundamental work "Modular equations and approximations to Pi", in which there are
various expressions that provide excellent approximations to Pigreco as a result and
others where there is within them (√5+1)/2, therefore the golden ratio. In our opinion,
Ramanujan understood the importance of these so-called irrational and transcendent
numbers (or mathematical constants), which with their digit "touch", so to speak the
infinity
Srinivasa Ramanujan was undoubtedly one of the most extraordinary mathematicians
in history. His intuition and his ability to see profound relationships between numbers
and constants have left an indelible mark on the world of mathematics. His work
“Modular Equations and Approximations to Pi” is a notable example of how he
explored infinity through formulas and approximations. Let's see some reflections on
this topic:
1. Ramanujan and the Infinity:
G. H. Hardy, another great mathematician, called Ramanujan an “explorer of the
infinite”. This statement reflects the depth of his mathematical discoveries.
Ramanujan worked on a wide range of topics, including infinite series, elliptic
functions, and approximations of π (Pi).
2. Modular Equations and Pi:
In his work “Modular Equations and Approximations to Pi,” Ramanujan explored the
relationships between modular functions and approximations of π. He discovered
expressions that provide surprisingly accurate approximations for π, even involving
the golden ratio (φ) and the square root of 5.
3. Irrational and Transcendent Numbers:
Irrational and transcendent numbers, such as π and φ, are fascinating because they
cannot be expressed as fractions of whole numbers. These numbers appear to “touch”
infinity, as their decimal digits do not follow any repeating pattern.