Number Theory, Fourier Analysis and Geometric Discrepancy

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Number Theory
Cover of the book Number Theory, Fourier Analysis and Geometric Discrepancy by Giancarlo Travaglini, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Giancarlo Travaglini ISBN: 9781139985888
Publisher: Cambridge University Press Publication: June 12, 2014
Imprint: Cambridge University Press Language: English
Author: Giancarlo Travaglini
ISBN: 9781139985888
Publisher: Cambridge University Press
Publication: June 12, 2014
Imprint: Cambridge University Press
Language: English

The study of geometric discrepancy, which provides a framework for quantifying the quality of a distribution of a finite set of points, has experienced significant growth in recent decades. This book provides a self-contained course in number theory, Fourier analysis and geometric discrepancy theory, and the relations between them, at the advanced undergraduate or beginning graduate level. It starts as a traditional course in elementary number theory, and introduces the reader to subsequent material on uniform distribution of infinite sequences, and discrepancy of finite sequences. Both modern and classical aspects of the theory are discussed, such as Weyl's criterion, Benford's law, the Koksma–Hlawka inequality, lattice point problems, and irregularities of distribution for convex bodies. Fourier analysis also features prominently, for which the theory is developed in parallel, including topics such as convergence of Fourier series, one-sided trigonometric approximation, the Poisson summation formula, exponential sums, decay of Fourier transforms, and Bessel functions.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

The study of geometric discrepancy, which provides a framework for quantifying the quality of a distribution of a finite set of points, has experienced significant growth in recent decades. This book provides a self-contained course in number theory, Fourier analysis and geometric discrepancy theory, and the relations between them, at the advanced undergraduate or beginning graduate level. It starts as a traditional course in elementary number theory, and introduces the reader to subsequent material on uniform distribution of infinite sequences, and discrepancy of finite sequences. Both modern and classical aspects of the theory are discussed, such as Weyl's criterion, Benford's law, the Koksma–Hlawka inequality, lattice point problems, and irregularities of distribution for convex bodies. Fourier analysis also features prominently, for which the theory is developed in parallel, including topics such as convergence of Fourier series, one-sided trigonometric approximation, the Poisson summation formula, exponential sums, decay of Fourier transforms, and Bessel functions.

More books from Cambridge University Press

Cover of the book At Vanity Fair by Giancarlo Travaglini
Cover of the book Fiscal Federalism by Giancarlo Travaglini
Cover of the book Machiavellian Democracy by Giancarlo Travaglini
Cover of the book The Origins of the Shī'a by Giancarlo Travaglini
Cover of the book Lengthening the Arm of the Law by Giancarlo Travaglini
Cover of the book The Linguistic Past in Twelfth-Century Britain by Giancarlo Travaglini
Cover of the book Separation of Powers and Legislative Organization by Giancarlo Travaglini
Cover of the book The Great War and the Origins of Humanitarianism, 1918–1924 by Giancarlo Travaglini
Cover of the book The Cambridge Companion to Religion and Terrorism by Giancarlo Travaglini
Cover of the book The Cambridge Companion to Popular Fiction by Giancarlo Travaglini
Cover of the book The Cambridge History of Magic and Witchcraft in the West by Giancarlo Travaglini
Cover of the book Parliamentary Sovereignty by Giancarlo Travaglini
Cover of the book Handbook of the International Phonetic Association by Giancarlo Travaglini
Cover of the book Resilient Liberalism in Europe's Political Economy by Giancarlo Travaglini
Cover of the book A Philosophical Guide to Chance by Giancarlo Travaglini
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy