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Galois and the Birth of Group Theory
A Short Biography of the Tragic Genius

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About this book:

Galois and the Birth of Group Theory Discover the astonishing life of Évariste Galois—a twenty‑year‑old revolutionary who, in a fever‑filled night of scribbled equations, laid the foundations of modern mathematics before his tragic death in a Parisian duel. This vivid biography follows him from a sheltered, classically‑rich childhood in Bourg‑la‑Reine through the tumultuous halls of Louis‑le‑Grand, the fervent streets of the 1830 July Revolution, and the cold cells of Sainte‑Pélagie prison, revealing how personal loss, political passion, and an unyielding quest for truth forged a mind that saw beyond calculation to the very symmetry of the universe.

Through meticulous research and gripping narrative, the book demystifies Galois’s revolutionary insights—his concepts of groups and fields that turned algebra from a craft of solving equations into a science of structure—and shows why his work was dismissed as “incomprehensible” by giants like Cauchy and Poisson, only to become the cornerstone of today’s quantum physics, cryptography, and cosmology. Readers will witness the moment when a desperate young man’s “I have not the time” became a timeless mathematical testament that reshaped human knowledge.

*Galois and the Birth of Group Theory* is more than a biography; it is an invitation to walk beside a genius whose brief, blazing life illuminated a new mathematical era. If you have ever wondered how abstract ideas can change the world—or how a single duel could alter the course of science—this book will captivate, inspire, and leave you marveling at the immortal power of a single mind’s vision.

Table of Contents:
  • Introduction
  • Chapter 1 A Precarious Childhood in Bourg-la-Reine
  • Chapter 2 The Reign of Napoleon and the Galois Family Legacy
  • Chapter 3 First Steps at Collège Royal de Louis-le-Grand
  • Chapter 4 The Discovery of Mathematical Genius
  • Chapter 5 The Obsession with Legendre and Lagrange
  • Chapter 6 The First Rejection by the École Polytechnique
  • Chapter 7 Cauchy and the Lost Memoirs
  • Chapter 8 A Father's Suicide and a Divided Soul
  • Chapter 9 The Second Failure at Polytechnique
  • Chapter 10 Admittance to the École Préparatoire
  • Chapter 11 The 1830 July Revolution and Political Awakening
  • Chapter 12 Expulsion and the Path of Radical Republicanism
  • Chapter 13 Fourier’s Death and the Lost Manuscript of 1830
  • Chapter 14 The Artillery of the National Guard
  • Chapter 15 Poisson's Rejection and the Verdict of "Incomprehensible"
  • Chapter 16 Arrest and Trial: The Toast to King Louis-Philippe
  • Chapter 17 Imprisonment at Sainte-Pélagie
  • Chapter 18 Love, Despair, and the Mysterious Mademoiselle du Motel
  • Chapter 19 The Fatal Challenge: Honor and the Impending Duel
  • Chapter 20 The Last Night: Writing the Mathematical Testament
  • Chapter 21 The Fatal Shot at the Pond of Glacière
  • Chapter 22 Chevalier and Liouville: Preserving the Legacy
  • Chapter 23 Solving the Unsolvable: The Quintic Equation
  • Chapter 24 The Birth of Group Theory and Cosmic Symmetry
  • Chapter 25 Galois's Modern Legacy: From Abstract Algebra to Quantum Physics
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Author:

Stephanie J. Ramos

Published By:

MixCache.com Extended Catalog

Type:

Nonfiction


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