Fernando Torres – författare
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3 produkter
3 produkter
Inbunden, Engelska, 2008
1 537 kr
Skickas inom 5-8 vardagar
This book provides an accessible and self-contained introduction to the theory of algebraic curves over a finite field, a subject that has been of fundamental importance to mathematics for many years and that has essential applications in areas such as finite geometry, number theory, error-correcting codes, and cryptology. Unlike other books, this one emphasizes the algebraic geometry rather than the function field approach to algebraic curves. The authors begin by developing the general theory of curves over any field, highlighting peculiarities occurring for positive characteristic and requiring of the reader only basic knowledge of algebra and geometry. The special properties that a curve over a finite field can have are then discussed. The geometrical theory of linear series is used to find estimates for the number of rational points on a curve, following the theory of Stohr and Voloch.The approach of Hasse and Weil via zeta functions is explained, and then attention turns to more advanced results: a state-of-the-art introduction to maximal curves over finite fields is provided; a comprehensive account is given of the automorphism group of a curve; and some applications to coding theory and finite geometry are described. The book includes many examples and exercises. It is an indispensable resource for researchers and the ideal textbook for graduate students.
E-bok
Engelska, 200970 kr
Läs direkt efter köp
Fernando Torres is one of the hottest properties in world football. From local Madrid idol to Kop hero and European Championship winner, he talks here for the first time about the unique challenges faced in his two seasons in England, with candid snapshots of his early years in Spain and life in the North West on and off the field.At the age of 25, Spain’s Fernando Torres has already established himself as one of the Liverpool greats and a proud wearer of the fabled No 9 shirt.His first book, framed within 25 pivotal themes of his life, provides a captivating illustrated story of his career to date, alongside revealing insights into his formative years in Madrid, as a child football prodigy and lifelong fan of local club Atletico.Nicknamed `El Nino’ (The Kid), Torres opens up about life on the streets besides Atletico’s Vicente Calderon stadium, signing for the club at aged 15 and appointed club captain by 19, becoming, as one local journalist put it, `one part folk hero, one part native son, one part messiah.’When Liverpool broke their club transfer record to bring Torres to Anfield in July 2007, it proved the turning point in his career. Competing in the goldfish bowl of the English Premier League, settling into the North West and playing alongside Liverpool heroes like Steven Gerrard and Jamie Carragher, in the company of Spanish team-mates Pepe Reina, Xavi Alonso and Albert Rieira, and performing in front of the Kop who quickly adopted him as one of their own – Torres describes what it means to him to play on one of the greatest stages in world football, and compares and contrasts life in Spain with his new career in England.Away from the football, Torres talks about life out of the spotlight with his family and close friends, and what inspires and motivates him.
E-bok
PDF, Engelska, 20132 146 kr
Läs direkt efter köp
This book provides an accessible and self-contained introduction to the theory of algebraic curves over a finite field, a subject that has been of fundamental importance to mathematics for many years and that has essential applications in areas such as finite geometry, number theory, error-correcting codes, and cryptology. Unlike other books, this one emphasizes the algebraic geometry rather than the function field approach to algebraic curves. The authors begin by developing the general theory of curves over any field, highlighting peculiarities occurring for positive characteristic and requiring of the reader only basic knowledge of algebra and geometry. The special properties that a curve over a finite field can have are then discussed. The geometrical theory of linear series is used to find estimates for the number of rational points on a curve, following the theory of Stohr and Voloch. The approach of Hasse and Weil via zeta functions is explained, and then attention turns to more advanced results: a state-of-the-art introduction to maximal curves over finite fields is provided; a comprehensive account is given of the automorphism group of a curve; and some applications to coding theory and finite geometry are described. The book includes many examples and exercises. It is an indispensable resource for researchers and the ideal textbook for graduate students.