In this stimulating book, aimed at researchers both established and
budding, Peter Elliott demonstrates a method and a motivating
philosophy that combine to cohere a large part of analytic number
theory, including the hitherto nebulous study of arithmetic
functions. Besides its application, the book also illustrates a way
of thinking mathematically: historical background is woven into the
narrative, variant proofs illustrate obstructions, false steps and
the development of insight, in a manner reminiscent of Euler. It is
shown how to formulate theorems as well as how to construct their
proofs. Elementary notions from functional analysis, Fourier
analysis, functional equations and stability in mechanics are
controlled by a geometric view and synthesized to provide an
arithmetical analogue of classical harmonic analysis that is
powerful enough to establish arithmetic propositions until now
beyond reach. Connections with other branches of analysis are
illustrated by over 250 exercises, structured in chains about
individual topics.
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!
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
