A view from the top:analysis, combinatorics and number theory

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Bibliographic Details
Main Authors: Iosevich Alex, 1967-
Published: American Mathematical Society,
Publisher Address: Providence, R.I.
Publication Dates: c2007.
Literature type: Book
Language: English
Series: Student mathematical library ; v. 39
Subjects:
Carrier Form: xiii, 136 p.: ill. ; 22 cm.
ISBN: 9780821843970 (pbk. : alk. paper)
0821843974 (pbk. : alk. paper)
Index Number: O156
CLC: O156
O157.1
O122.3
Call Number: O122.3/I643
Contents: Includes bibliographical references (p. 135-136).
The Cauchy-Schwarz inequality -- Projections in R³ - the elephant makes an appearance! -- Projections in four dimensions -- Projections and cubes -- Incidences and matrices -- Basics of grids over finite fields -- Besicovitch-Kakeya conjecture in two dimensions -- A gentle entry into higher dimensions -- Some basic counting, probability and a few twists -- A more involved taste of probability -- Oscillatory integrals and fun that lies beyond -- Integer points and a crash course in Fourier analysis -- Return of the Fourier transform -- It is time to say goodbye.