This book is about the life of primes. Indeed, once they are defined, primes take on a life of their own and the mysteries surrounding them begin multiplying, just like living cells reproduce themselves, and there seems to be no end to it. This monograph takes the reader on a journey through time, providing an accessible overview of the numerous prime number theory problems that mathematicians have been working on since Euclid. Topics are presented in chronological order as episodes. These include results on the distribution of primes, from the most elementary to the proof of the famous prime number theorem. The book also covers various primality tests and factorisation algorithms. It is then shown how our inability to factor large integers has allowed mathematicians to create today's most secure encryption method. Computer science buffs may be tempted to tackle some of the many open problems appearing in the episodes. Throughout the presentation, the human side of mathematics is displayed through short biographies that give a glimpse of the lives of the people who contributed to the life of primes. Each of the 37 episodes concludes with a series of problems (many with solutions) that will assist the reader in gaining a better understanding of the theory.
This book is about the life of primes. Indeed, once they are defined, primes take on a life of their own and the mysteries surrounding them begin multiplying, just like living cells reproduce themselves, and there seems to be no end to it. This monograph takes the reader on a journey through time, providing an accessible overview of the numerous prime number theory problems that mathematicians have been working on since Euclid. Topics are presented in chronological order as episodes. These include results on the distribution of primes, from the most elementary to the proof of the famous prime number theorem. The book also covers various primality tests and factorisation algorithms. It is then shown how our inability to factor large integers has allowed mathematicians to create today's most secure encryption method. Computer science buffs may be tempted to tackle some of the many open problems appearing in the episodes. Throughout the presentation, the human side of mathematics is displayed through short biographies that give a glimpse of the lives of the people who contributed to the life of primes. Each of the 37 episodes concludes with a series of problems (many with solutions) that will assist the reader in gaining a better understanding of the theory.
Throughout Louisiana's colonial and postcolonial periods, there evolved a highly specialized vocabulary for describing the region's buildings, people, and cultural landscapes. This creolized language -- a unique combination of localisms and words borrowed from French, Spanish, English, Indian, and Caribbean sources -- developed to suit the multiethnic needs of settlers, planters, explorers, builders, surveyors, and government officials. Today, this historic vernacular is often opaque to historians, architects, attorneys, geographers, scholars, and the general public who need to understand its meanings. With A Creole Lexicon, Jay Edwards and Nicolas Kariouk provide a highly organized resource for its recovery. Here are definitions for thousands of previously lost or misapplied terms, including watercraft and land vehicles, furniture, housetypes unique to Louisiana, people, and social categories. Drawn directly from travelers' accounts, historic maps, and legal documents, the volume's copious entries document what would actually have been heard and seen by the peoples of the Louisiana territory. Newly produced diagrams and drawings as well as reproductions of original eighteenth- and nineteenth-century documents and Historic American Buildings Surveys enhance understanding. Sixteen subject indexes list equivalent English words for easy access to appropriate Creole translations. A Creole Lexicon is an invaluable resource for exploring and preserving Louisiana's cultural heritage.
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