000			02193nam a22002897a 4500
005			20220623124122.0
008			220623b |||||||| |||| 00| 0 eng d
020			_a9789393330154
028			_a:Donated from NMBH
082			_a512.97 IOS
100			_aIosevich, Alex
245			_aA View From the Top _b:analysis, combinatorics and number theory _c/ Alex Iosevich
260			_aProvidence _b;American Mathematical Society, _c©2007.
300			_axiii, 136p _c22 cm.
365			_bDonated
505			_aThe 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.
520			_a "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 provides glimpses into the world of research and discovery. The connections between different techniques and areas of mathematics are emphasized throughout and constitute one of the most important lessons this book attempts to impart. This book is interesting and accessible to anyone with a basic knowledge of high school mathematics and a curiosity about research mathematics."--Jacke
650			_aMathematics
650			_aAlgebra
650			_aCombinatorial analysis.
650			_aAnalyse combinatoire.
650			_a31.00 mathematics: general.
650			_aTalteori.
650			_aNumber theory.
700			_aIosevich, Alex
942			_cBOOK
999			_c59426 _d59426