A view from the top:analysis, combinatorics and number theory
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Main Authors: | |
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Published: |
American Mathematical Society,
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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. |