Irrationality and Transcendence in Number Theory

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Exploring the journey of irrational numbers, the narrative spans from their discovery in Pythagorean times to the 20th-century advancements by Baker and Mahler on transcendence. Key themes include the nature of irrationality, the distinction between algebraic and transcendental numbers, and the role of continued fractions in approximating real numbers with rationals, offering a comprehensive view of mathematical evolution and thought.