- #1
soumyajitnag
- 13
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can anyone provide me the proof of pi being a transcedental number
The "Proof of Pi's Transcendental Number" is a mathematical proof that shows that the number pi (π) is a transcendental number. This means it is an irrational number that cannot be expressed as a ratio of two integers.
The proof of Pi's Transcendental Number was first discovered by German mathematician Ferdinand von Lindemann in 1882.
The proof of Pi's Transcendental Number is important because it settles a long-standing mathematical question and confirms the irrationality of pi. It also has important implications in other mathematical fields, such as geometry and number theory.
The proof of Pi's Transcendental Number was achieved using a combination of mathematical techniques, including complex analysis and algebraic geometry. Lindemann's proof is considered one of the most elegant and influential proofs in the history of mathematics.
Yes, there are infinitely many transcendental numbers besides pi. Some other well-known examples include e (the base of the natural logarithm) and the golden ratio (φ). Proving the transcendental nature of these numbers also required significant mathematical breakthroughs.