Giancarlo Travaglini

Number Theory, Fourier Analysis and Geometric Discrepancy

• Gebundenes Buch

Produktbeschreibung

Classical number theory is developed from scratch leading to geometric discrepancy theory, with Fourier analysis introduced along the way.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 252
• Erscheinungstermin: 7. Januar 2015
• Englisch
• Abmessung: 235mm x 157mm x 18mm
• Gewicht: 521g
• ISBN-13: 9781107044036
• ISBN-10: 1107044030
• Artikelnr.: 40561168

Autorenporträt

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.

Inhaltsangabe

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.