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Number Theory, Fourier Analysis and Geometric Discrepancy
Taschenbuch von Giancarlo Travaglini
Sprache: Englisch

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Beschreibung
Classical number theory is developed from scratch leading to geometric discrepancy theory, with Fourier analysis introduced along the way.
Classical number theory is developed from scratch leading to geometric discrepancy theory, with Fourier analysis introduced along the way.
Über den Autor
Giancarlo Travaglini is Professor of Mathematics at the University of Milano-Bicocca. He is the author of numerous research papers and several books in the areas of abstract harmonic analysis, Fourier analysis and discrepancy theory. He is a member of the Unione Matematica Italiana and the American Mathematical Society. His current mathematical interests include Fourier analysis, discrepancy theory, radon transforms and didactics of mathematics.
Inhaltsverzeichnis
Part I. Elementary Number Theory: 1. Prelude; 2. Arithmetic functions and integer points; 3. Congruences; 4. Quadratic reciprocity and Fourier series; 5. Sums of squares; Part II. Fourier Analysis and Geometric Discrepancy: 6. Uniform distribution and completeness of the trigonometric system; 7. Discrepancy and trigonometric approximation; 8. Integer points and Poisson summation formula; 9. Integer points and exponential sums; 10. Geometric discrepancy and decay of Fourier transforms; 11. Discrepancy in high dimension and Bessel functions; References; Index.
Details
Erscheinungsjahr: 2014
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 252
ISBN-13: 9781107619852
ISBN-10: 1107619858
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Travaglini, Giancarlo
Hersteller: Cambridge University Press
Maße: 229 x 152 x 14 mm
Von/Mit: Giancarlo Travaglini
Erscheinungsdatum: 12.06.2014
Gewicht: 0,371 kg
preigu-id: 105409652
Über den Autor
Giancarlo Travaglini is Professor of Mathematics at the University of Milano-Bicocca. He is the author of numerous research papers and several books in the areas of abstract harmonic analysis, Fourier analysis and discrepancy theory. He is a member of the Unione Matematica Italiana and the American Mathematical Society. His current mathematical interests include Fourier analysis, discrepancy theory, radon transforms and didactics of mathematics.
Inhaltsverzeichnis
Part I. Elementary Number Theory: 1. Prelude; 2. Arithmetic functions and integer points; 3. Congruences; 4. Quadratic reciprocity and Fourier series; 5. Sums of squares; Part II. Fourier Analysis and Geometric Discrepancy: 6. Uniform distribution and completeness of the trigonometric system; 7. Discrepancy and trigonometric approximation; 8. Integer points and Poisson summation formula; 9. Integer points and exponential sums; 10. Geometric discrepancy and decay of Fourier transforms; 11. Discrepancy in high dimension and Bessel functions; References; Index.
Details
Erscheinungsjahr: 2014
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 252
ISBN-13: 9781107619852
ISBN-10: 1107619858
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Travaglini, Giancarlo
Hersteller: Cambridge University Press
Maße: 229 x 152 x 14 mm
Von/Mit: Giancarlo Travaglini
Erscheinungsdatum: 12.06.2014
Gewicht: 0,371 kg
preigu-id: 105409652
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