Number Theory

Download E-books Automatic Sequences: Theory, Applications, Generalizations PDF

By Jean-Paul Allouche

Combining recommendations of arithmetic and laptop technological know-how, this publication is set the sequences of symbols that may be generated by way of basic versions of computation referred to as "finite automata". appropriate for graduate scholars or complicated undergraduates, it begins from straightforward ideas and develops the elemental conception. The research then progresses to teach how those principles might be utilized to unravel difficulties in quantity conception and physics.

Show description

Read Online or Download Automatic Sequences: Theory, Applications, Generalizations PDF

Best Number Theory books

Lectures on the Theory of Algebraic Numbers (Graduate Texts in Mathematics)

. . . if one desires to make development in arithmetic one may still examine the masters no longer the scholars. N. H. Abel Heeke was once one in every of the masters, and actually, the learn of Heeke L­ sequence and Heeke operators has completely embedded his identify within the cloth of quantity concept. it's a infrequent prevalence whilst a grasp writes a easy publication, and Heeke's Lectures at the thought of Algebraic Numbers has develop into a vintage.

Cyclotomic Fields I and II (Graduate Texts in Mathematics) (v. 1-2)

Kummer's paintings on cyclotomic fields prepared the ground for the improvement of algebraic quantity concept commonly by means of Dedekind, Weber, Hensel, Hilbert, Takagi, Artin and others. despite the fact that, the luck of this normal thought has tended to vague unique evidence proved through Kummer approximately cyclotomic fields which lie deeper than the overall concept.

A Classical Introduction to Modern Number Theory (Graduate Texts in Mathematics) (v. 84)

This well-developed, obtainable textual content info the old improvement of the topic all through. It additionally offers wide-ranging insurance of important effects with relatively effortless proofs, a few of them new. This moment variation comprises new chapters that supply an entire facts of the Mordel-Weil theorem for elliptic curves over the rational numbers and an outline of contemporary development at the mathematics of elliptic curves.

Unsolved Problems in Geometry: Unsolved Problems in Intuitive Mathematics (Problem Books in Mathematics)

Mathematicians and non-mathematicians alike have lengthy been fascinated about geometrical difficulties, quite those who are intuitive within the feel of being effortless to country, probably via an easy diagram. each one part within the publication describes an issue or a gaggle of similar difficulties. often the issues are in a position to generalization of version in lots of instructions.

Extra info for Automatic Sequences: Theory, Applications, Generalizations

Show sample text content

Rated 4.67 of 5 – based on 26 votes