by Fried, Michael D., AMS-IMS-SIAM Joint Summer Research Conference on Applications of Curves Over Finite Fields, University of Washington)
fromContemporary mathematics (American Mathematical Society)
by Donagi, Ron Y., American Mathematical Society, Institute of Mathematical Statistics, SIAM Institute for Mathematics and Society, AMS-IMS-SIAM Joint Summer Research Conference on the Schottky Problem, Amherst)
"Curves and Surfaces in Geometric Modeling: Theory and Algorithms offers a theoretically unifying understanding of polynomial curves and surfaces as well as an effective approach to implementation that you can apply to your own work as a graduate student, scientist, or practitio…
Discussion of theory and applications of algebraic curves over finite fields with many rational points.
by Ward, Thomas, Everest, Graham
fromUniversitext
The main theme of the book is the theory of heights as they appear in various guises. This includes a large body of results on Mahler's measure of the height of a polynomial of which topic there is no book available. The genesis of the measure in a paper by Lehmer is looked at, …
by Ward, Thomas, Everest, Graham
fromUniversitext
"This book covers an exciting interplay between arithmetic and dynamical systems. The fulcrum is a natural measure of height of a polynomial, known as Mahler's measure. In dynamical systems, this same measure arises as the entropy - a measure of orbit complexity - of a map assoc…
This book provides a self-contained exposition of the theory of algebraic curves without requiring any of the prerequisites of modern algebraic geometry. The self-contained treatment makes this important and mathematically central subject accessible to non-specialists. At the sa…
