A BRIEF HISTORY OF MATHEMATICS
CHAPTER 1 INTRODUCTION CHAPTER 2 BABBAGE AND FRENCH IDÉOLOGIE: FUNCTIONAL EQUATIONS, LANGUAGE, AND THE ANALYTICAL METHOD CHAPTER 3 “VERY FULL OF SYMBOLS”: DUNCAN F GREGORY, THE CALCULUS OF OPERATIONS, AND THE CAMBRIDGE MATHEMATICAL JOURNAL CHAPTER 4 DIVISIBILITY THEORIES IN THE EARLY HISTORY OF COMMUTATIVE ALGEBRA AND THE FOUNDATIONS OF ALGEBRAIC GEOMETRY CHAPTER 5 KRONECKER’S FUNDAMENTAL THEOREM OF GENERAL ARITHMETIC CHAPTER 6 DEVELOPMENTS IN THE THEORY OF ALGEBRAS OVER NUMBER FIELDS: A NEW FOUNDATION FOR THE HASSE NORM RESIDUE SYMBOL AND NEW APPROACHES TO BOTH THE ARTIN RECIPROCITY LAW AND CLASS FILELD THEORY CHAPTER 7 MINKOWSKI, HENSEL, AND HASSE: ON THE BEGINNINGS OF THE LOCAL-GLOBAL PRINCIPLE CHAPTER 8 RESEARCH IN ALGEBRA AT THE UNIVERSITY OF CHICAGO: LEONARD EUGENE DICKSON AND A ADRIAN ALBERT CHAPTER 9 EMMY NOETHER’S 1932 ICM LECTURE ON NONCOMMUTATIVE METHODS IN ALGEBRAIC NUMBER THEORY CHAPTER 10 FROM ALGEBRA (1895) TO MODERNE ALGEBRA (1930): CHANGING CONCEPTIONS OF A DISCIPLINE–A GUIDED TOUR USING THE JAHRBUCH ÜBER DIE FORTSCHRITTE DER MATHEMATIK CHAPTER 11 A HISTORICAL SKETCH OF B L VAN DER WAERDEN’S WORK IN ALGEBRAIC GEOMETRY: 1926–1946 CHAPTER 12 ON THE ARITHMETIZATION OF ALGEBRAIC GEOMETRY CHAPTER 13 THE RISING SEA: GROTHENDIECK ON SIMPLICITY AND GENERALITY