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Prime Numbers and the Riemann Hypothesis
This book introduces prime numbers and explains the famous unsolved Riemann hypothesis.
Modular Forms, a Computational Approach
This marvellous and highly original book fills a significant gap in the extensive literature on classical modular forms. This is not just yet another introductory text to this theory, though it could certainly be used as such in conjunction with more traditional treatments. Its novelty lies in its computational emphasis throughout: Stein not only defines what modular forms are, but shows in illuminating detail how one can compute everything about them in practice. This is illustrated throughout the book with examples from his own (entirely free) software package SAGE, which really bring the subject to life while not detracting in any way from its theoretical beauty. The author is the leading...
Elementary Number Theory: Primes, Congruences, and Secrets
This is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover. It grew out of undergr- uate courses that the author taught at Harvard, UC San Diego, and the University of Washington. The systematic study of number theory was initiated around 300B. C. when Euclid proved that there are in?nitely many prime numbers, and also cleverly deduced the fundamental theorem of arithmetic, which asserts that every positive integer factors uniquely as a product of primes. Over a thousand years later (around 972A. D. ) Arab mathematicians formulated the congruent number problem that asks for a way to decide whether or not a given positive integer n i...
The Triangle Fire
March 25, 2011, marks the centennial of the Triangle Shirtwaist Factory fire, in which 146 garment workers lost their lives. A work of history relevant for all those who continue the fight for workers' rights and safety, this edition of Leon Stein's classic account of the fire features a substantial new foreword by the labor journalist Michael Hirsch, as well as a new appendix listing all of the victims' names, for the first time, along with addresses at the time of their death and locations of their final resting places.
When Novels Were Books
A literary scholar explains how eighteenth-century novels were manufactured, sold, bought, owned, collected, and read alongside Protestant religious texts. As the novel developed into a mature genre, it had to distinguish itself from these similar-looking books and become what we now call “literature.” Literary scholars have explained the rise of the Anglophone novel using a range of tools, from Ian Watt’s theories to James Watt’s inventions. Contrary to established narratives, When Novels Were Books reveals that the genre beloved of so many readers today was not born secular, national, middle-class, or female. For the first three centuries of their history, novels came into readers...
Number Theory and Algebraic Geometry
Sir Peter Swinnerton-Dyer's mathematical career encompasses more than 60 years' work of amazing creativity. This volume provides contemporary insight into several subjects in which Sir Peter's influence has been notable, and is dedicated to his 75th birthday. The opening section reviews some of his many remarkable contributions to mathematics and other fields. The remaining contributions come from leading researchers in analytic and arithmetic number theory, and algebraic geometry. The topics treated include: rational points on algebraic varieties, the Hasse principle, Shafarevich-Tate groups of elliptic curves and motives, Zagier's conjectures, descent and zero-cycles, Diophantine approximation, and Abelian and Fano varieties.
