Proof of Pi's Transcendental Number

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SUMMARY

The proof of π being a transcendental number was established by Ferdinand von Lindemann in 1882. Lindemann's work, titled "Über die Zahl π," published in Mathematische Annalen, demonstrates that π cannot be the root of any non-zero polynomial equation with rational coefficients. This conclusion is supported by the Lindemann-Weierstrass theorem, which asserts that if a is a non-zero algebraic number, then e^a is transcendental.

PREREQUISITES
  • Understanding of transcendental numbers
  • Familiarity with polynomial equations
  • Knowledge of the Lindemann-Weierstrass theorem
  • Basic comprehension of mathematical proofs
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  • Study the Lindemann-Weierstrass theorem in detail
  • Explore the implications of transcendental numbers in mathematics
  • Review the historical context of Lindemann's proof
  • Investigate other transcendental numbers and their proofs
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Mathematicians, students of advanced mathematics, and anyone interested in the properties of transcendental numbers and their proofs.

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can anyone provide me the proof of pi being a transcedental number
 
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