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A modern approach to number theory through a blending of complementary algebraic and analytic perspectives, emphasising harmonic analysis on topological groups. The main goal is to cover John Tates visionary thesis, giving virtually all of the necessary analytic details and topological preliminaries -- technical prerequisites that are often foreign to the typical, more algebraically inclined number theorist. While most of the existing treatments of Tates thesis are somewhat terse and less than complete, the intent here is to be more leisurely, more comprehensive, and more comprehensible. While the choice of objects and methods is naturally guided by specific mathematical goals, the approach is by no means narrow. In fact, the subject matter at hand is germane not only to budding number theorists, but also to students of harmonic analysis or the representation theory of Lie groups. The text addresses students who have taken a year of graduate-level course in algebra, analysis, and topology. Moreover, the work will act as a good reference for working mathematicians interested in any of these fields.
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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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FOURIER ANALYSIS ON NUMBER FIELDS
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Fourier Analysis on Number Fie
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Fourier Analysis on Number Fields (Graduate Texts in Mathematics, 186)
Verlag:
Springer (edition 1999), 1998
ISBN 10: 0387984364
ISBN 13: 9780387984360
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FOURIER ANALYSIS ON NUMBER FIELDS
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Dura. Zustand: New. Zustand des Schutzumschlags: Nuevo. No Aplica (illustrator). 0. The general aim of this book is to provide a modern approach to number theory through a blending of complementary algebraic and analytic perspectives, emphasizing harmonica analysis on topological groups. The more particular goal is to cover John Tate?s visionaty thesis, giving virtually all of the necessary analytic details and topological preliminaries-technical prerequisites that are often foreign o the typical, more algebraically inclined numer theorist. While most of the existing treatments of Tate?s thesis are somewhat terse and less than complete, the authors? intent is to be more leisurely, more comprehensive, and more comprehensive. The text addresses sudents who have taken a year of graduate-level courses in algebra, analysis, and topology. While the choice of objects and methods is naturally guided by specific mathematical goals, the approach is by no means narrow. In fact, the subject matter at hand is germane not only to budding number theoristis, but also to students of harmonic analysis or the representation theory of Lie groups. Moreover, the work should be a good reference for working mathematicians interested in anay of these fields. Specific topics include: topological groups, representation theory, duality for locally compact abelian groups, the structure of arithmetic fields, adeles and ideles, an introduction to class field theory, and Tate?s thesis and applications. 700 gr. Libro. Bestandsnummer des Verkäufers 9780387984360LEA19624
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Fourier Analysis on Number Fields (Graduate Texts in Mathematics, 186)
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Fourier Analysis on Number Fields
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