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Books > Science & Mathematics > Mathematics > Algebra
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Polynomial Methods and Incidence Theory (Hardcover, New Ed)
Loot Price: R1,738
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Polynomial Methods and Incidence Theory (Hardcover, New Ed)
Series: Cambridge Studies in Advanced Mathematics
Expected to ship within 10 - 15 working days
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The past decade has seen numerous major mathematical breakthroughs
for topics such as the finite field Kakeya conjecture, the cap set
conjecture, Erdos's distinct distances problem, the joints problem,
as well as others, thanks to the introduction of new polynomial
methods. There has also been significant progress on a variety of
problems from additive combinatorics, discrete geometry, and more.
This book gives a detailed yet accessible introduction to these new
polynomial methods and their applications, with a focus on
incidence theory. Based on the author's own teaching experience,
the text requires a minimal background, allowing graduate and
advanced undergraduate students to get to grips with an active and
exciting research front. The techniques are presented gradually and
in detail, with many examples, warm-up proofs, and exercises
included. An appendix provides a quick reminder of basic results
and ideas.
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