Résumé de Fermat's Last Theorem

In "Fermat's Last Theorem," Simon Singh explores the profound journey surrounding one of the most famous problems in mathematics, famously conjectured by Pierre de Fermat in 1637. The theorem posits that there are no three positive integers a, b, and c that satisfy the equation \(a^n + b^n = c^n\) for any integer value of n greater than 2. Singh's narrative weaves together the historical and mathematical significance of the theorem, framing it within a rich tapestry of characters and events that shaped its long-standing mystery. The book is structured in a chronological manner, beginning with Fermat's original assertion that he had discovered a "truly marvelous proof" of his theorem, which he famously left unwritten in the margin of his copy of an ancient Greek text. Singh navigates readers through centuries of failed attempts to prove the theorem, featuring notable mathematicians such as Andrew Wiles, who ultimately resolved the enigma in the 1990s. Singh incorporates various frameworks throughout the book, emphasizing the intersection of mathematical concepts and the human stories behind them. He explicates key ideas in modern number theory, such as elliptic curves and modular forms, which played vital roles in Wiles's eventual proof. The setting oscillates between historical accounts of Fermat's time, the developments in mathematics across Europe, and the modern academic environment, highlighting the challenges and breakthroughs in the pursuit of truth. Furthermore, Singh articulates the blend of passion and perseverance that defines the quest for knowledge in mathematics, making the narrative not only about the theorem itself but also about the quest for understanding in the field of mathematics. Overall, "Fermat's Last Theorem" is a compelling amalgamation of mathematics, history, and biography that illustrates the complexities and beauty of a solved mystery that captivated minds for over 350 years.