Intro; Preface; Acknowledgements; Publisher's Acknowledgements; Contents; Abbreviations and Conventions; Institutions; Publications; Place Names; 1 Rhineland; 1.1 Düren; 1.2 Bonn; 1.3 Cologne; 2 Paris; 2.1 Early Reports Home; 2.2 Madame Lorge and the Deutgens; 2.3 Professors; 2.4 Smallpox; 2.5 Water Flow; 2.6 First Employment; 2.7 Obligations at Home; Draft Call; 2.8 The Mysterious Research Project; 3 First Success; 3.1 Fermat's Claim; 3.2 Lacroix and Legendre; 3.3 The Draft Board and the Institut of the Académie; 3.4 The Review Committee's Report; 3.5 Legendre's Proof

Dirichlet's ``Addition''4 Return to Prussia; 4.1 Political Background; 4.2 The Death of Foy; 4.3 Fourier and Humboldt; 4.4 Approaches to Prussia; 4.5 Gauss; 4.6 The Cultural Ministry; 4.7 The Breslau Appointment; 4.8 Bonn and the Doctorate; 4.9 Political Suspect; 4.10 The Visit with Gauss; 4.11 Breslau; 4.12 Confirmation and Recognition; 4.13 Radowitz and the Kriegsschule; 4.14 Departure from Breslau; 5 Early Publications; 5.1 Some Indeterminate Equations of Degree 5; 5.2 Biquadratic Residues; 5.3 The Habilitationsschrift; 5.4 Wilson's and Related Theorems; 5.5 A Challenge; 6 Berlin

6.1 The 1828 Convention6.2 Meeting Scientists; 6.3 Geomagnetism; 6.4 Leipzigerstra€e 3; 6.5 Fanny and Wilhelm Hensel; 6.6 Kriegsschule; 6.7 Steps to a University Appointment; 6.8 The University; 6.9 Rebecca Mendelssohn Bartholdy; 6.10 Family Concerns; 6.11 New Security; 7 Publications: 1829-1830; 7.1 Definite Integrals; 7.2 Convergence of Fourier Series; 7.3 A Problem from Heat Theory; 7.4 Summary; 8 Maturation; 8.1 Educational Commissions; 8.2 The Kriegsschule; 8.3 The University; 8.4 The Akademie and the Académie; 8.5 The Repertorium; 8.6 Gaussian Interactions

8.7 Family: 1833-18358.8 Family: 1836-1838; 8.9 The Death of Gans; 9 Publications: Autumn 1832-Spring 1839; 9.1 Quadratic Residues in the Complex Field; 9.2 Fermat's Last Theorem for n=14; 9.3 Quadratic Forms and Divisors; 9.4 Existence and Uniqueness Issues; 9.5 Gauss Sums; 9.6 Eulerian Integrals; 9.7 Efficacy of Least Squares; 9.8 Primes in Arithmetic Progressions; 9.9 The Repertorium Report on Arbitrary Functions; 9.10 Series Expansions and Spherical Functions; 9.11 Pell's Equation and Circular Functions; 9.12 Asymptotic Laws in Number Theory; 9.13 Infinite Series and Number Theory

9.14 The New Method: Using a Discontinuity Factor9.15 Observations; 10 Expanding Interactions; 10.1 Professor Designate; 10.2 Paris; 10.3 Return to Berlin; 10.4 Jacobi; 10.5 Preparations for a Vacation; 10.6 Switzerland and Italy North of Rome; 10.7 Rome; 10.8 Illnesses; 10.9 The Birth of Flora; 10.10 Return to Berlin; 11 Publications: 1839-1845; 11.1 Analytic Number Theory; 11.2 Primes in Quadratic Forms; 11.3 Extract of a Letter to Liouville: The Unit Theorem for Degree 3; 11.4 The Theory of Complex Numbers; 11.5 Certain Functions of Degree Three and Above; 11.6 A Generalization re Continued Fractions and Number Theory