This book explains some recent applications of the theory of
polynomials and algebraic geometry to combinatorics and other areas
of mathematics. One of the first results in this story is a short
elegant solution of the Kakeya problem for finite fields, which was
considered a deep and difficult problem in combinatorial geometry.
The author also discusses in detail various problems in incidence
geometry associated to Paul Erdos's famous distinct distances
problem in the plane from the 1940s. The proof techniques are also
connected to error-correcting codes, Fourier analysis, number
theory, and differential geometry. Although the mathematics
discussed in the book is deep and far-reaching, it should be
accessible to first- and second-year graduate students and advanced
undergraduates. The book contains approximately 100 exercises that
further the reader's understanding of the main themes of the book.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!