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

Author: Alex Iosevich
Publisher: Providence, R.I. : American Mathematical Society, ©2007.
Series: Student mathematical library, v. 39.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This book is based on a capstone course that the author taught to upper division undergraduate students with the goal to explain and visualize the connections between different areas of mathematics and the way different subject matters flow from one another. In teaching his readers a variety of problem solving techniques as well, the author succeeds in enhancing the readers' hands-on knowledge of mathematics and  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Alex Iosevich
ISBN: 9780821843970 0821843974
OCLC Number: 154678587
Description: xiii, 136 pages : illustrations ; 22 cm.
Contents: 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.
Series Title: Student mathematical library, v. 39.
Responsibility: Alex Iosevich.

Abstract:

Based on a capstone course that the author taught to upper division undergraduate students with the goal to explain and visualize the connections between different areas of mathematics and the way  Read more...

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