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Introduction to Modern Number Theory: Fundamental Problems, Ideas and Theories: 49 (Encyclopaedia of Mathematical Sciences) - Softcover
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This edition has been called ‘startlingly up-to-date’, and in this corrected second printing you can be sure that it’s even more contemporaneous. It surveys from a unified point of view both the modern state and the trends of continuing development in various branches of number theory. Illuminated by elementary problems, the central ideas of modern theories are laid bare. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories. Moreover, the authors have added a segment dedicated to arithmetical cohomology and noncommutative geometry as well as a report on point counts on varieties with many rational points. Also covered is the recent polynomial time algorithm for primality testing, among other subjects.
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Über die Autorin bzw. den Autor
Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.
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Introduction to Modern Number Theory
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Introduction to Modern Number Theory: Fundamental Problems, Ideas and Theories (Encyclopaedia of Mathematical Sciences, 49)
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Introduction to Modern Number Theory : Fundamental Problems, Ideas and Theories
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 'Introduction to Modern Number Theory' surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories are exposed. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories. Moreover, the authors have added a part dedicated to arithmetical cohomology and noncommutative geometry, a report on point counts on varieties with many rational points, the recent polynomial time algorithm for primality testing, and some others subjects.From the reviews of the 2nd edition:'. For my part, I come to praise this fine volume. This book is a highly instructive read . the quality, knowledge, and expertise of the authors shines through. . The present volume is almost startlingly up-to-date .' (A. van der Poorten, Gazette, Australian Math. Soc. 34 (1), 2007). Artikel-Nr. 9783642057977
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Introduction to Modern Number Theory
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Taschenbuch. Zustand: Neu. Neuware -'Introduction to Modern Number Theory' surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories are exposed. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions.This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories. Moreover, the authors have added a part dedicated to arithmetical cohomology and noncommutative geometry, a report on point counts on varieties with many rational points, the recent polynomial time algorithm for primality testing, and some others subjects.From the reviews of the 2nd edition:'¿ For my part, I come to praise this fine volume. This book is a highly instructive read ¿ the quality, knowledge, and expertise of the authors shines through. ¿ The present volume is almost startlingly up-to-date .' (A. van der Poorten, Gazette, Australian Math. Soc. 34 (1), 2007)Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 532 pp. Englisch. Artikel-Nr. 9783642057977
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