Number Theory category: 319 books
Discrete Harmonic Analysis
Representations, Number Theory, Expanders, and the Fourier Transform
Language: English
Release Date: May 31, 2018
This self-contained book introduces readers to discrete harmonic analysis with an emphasis on the Discrete Fourier Transform and the Fast Fourier Transform on finite groups and finite fields, as well as their noncommutative versions. It also features applications to number theory, graph theory, and...
Multiplicative Ideal Theory and Factorization Theory
Commutative and Non-commutative Perspectives
Language: English
Release Date: July 29, 2016
This book consists of both expository and research articles solicited from speakers at the conference entitled "Arithmetic and Ideal Theory of Rings and Semigroups," held September 22–26, 2014 at the University of Graz, Graz, Austria. It reflects recent trends in multiplicative ideal...
The Higher Arithmetic
An Introduction to the Theory of Numbers
Language: English
Release Date: October 23, 2008
The theory of numbers is generally considered to be the 'purest' branch of pure mathematics and demands exactness of thought and exposition from its devotees. It is also one of the most highly active and engaging areas of mathematics. Now into its eighth edition The Higher Arithmetic introduces the...
Women in Numbers Europe II
Contributions to Number Theory and Arithmetic Geometry
Language: English
Release Date: June 1, 2018
Inspired by the September 2016 conference of the same name, this second volume highlights recent research in a wide range of topics in contemporary number theory and arithmetic geometry. Research reports from projects started at the conference, expository papers describing ongoing research, and contributed...
by P.M. Cohn
Language: English
Release Date: January 18, 2018
Language: English
Release Date: January 18, 2018
This book is an introduction to the theory of algebraic numbers and algebraic functions of one variable. The basic development is the same for both using E Artin's legant approach, via valuations. Number Theory is pursued as far as the unit theorem and the finiteness of the class number. In function...
Single Digits
In Praise of Small Numbers
Language: English
Release Date: June 2, 2015
In Single Digits, Marc Chamberland takes readers on a fascinating exploration of small numbers, from one to nine, looking at their history, applications, and connections to various areas of mathematics, including number theory, geometry, chaos theory, numerical analysis, and mathematical physics....
Analytic Number Theory, Approximation Theory, and Special Functions
In Honor of Hari M. Srivastava
Language: English
Release Date: July 8, 2014
This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematical community, including both research and survey works. Subjects covered include...
by IntroBooks
Language: English
Release Date: November 7, 2016
Language: English
Release Date: November 7, 2016
Number theory is an important branch of pure mathematics since it contains many basic concepts that are used to build up complex concepts of pure mathematics. One who is looking for a breakthrough in broad term mathematics is suggested to start from this theory. It will clear up basic concepts so...
Summing It Up
From One Plus One to Modern Number Theory
Language: English
Release Date: May 17, 2016
We use addition on a daily basis—yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? Summing It Up uses addition as a springboard to present a fascinating and accessible look at numbers and number theory, and how we apply beautiful numerical...
Quadratic Residues and Non-Residues
Selected Topics
Language: English
Release Date: November 11, 2016
This book offers an account of the classical theory of quadratic residues and non-residues with the goal of using that theory as a lens through which to view the development of some of the fundamental methods employed in modern elementary, algebraic, and analytic number theory.
The first three...
Women in Numbers Europe
Research Directions in Number Theory
Language: English
Release Date: September 22, 2015
Covering topics in graph theory, L-functions, p-adic geometry, Galois representations, elliptic fibrations, genus 3 curves and bad reduction, harmonic analysis, symplectic groups and mould combinatorics, this volume presents a collection of papers covering a wide swath of number theory emerging from...
by
Language: English
Release Date: July 9, 2012
Language: English
Release Date: July 9, 2012
Multiple Dirichlet Series, L-functions and Automorphic Forms gives the latest advances in the rapidly developing subject of Multiple Dirichlet Series, an area with origins in the theory of automorphic forms that exhibits surprising and deep connections to crystal graphs and mathematical physics. ...
by Masayoshi Hata
Language: English
Release Date: December 12, 2016
Language: English
Release Date: December 12, 2016
This second edition introduces an additional set of new mathematical problems with their detailed solutions in real analysis. It also provides numerous improved solutions to the existing problems from the previous edition, and includes very useful tips and skills for the readers to master successfully....
Fractal Zeta Functions and Fractal Drums
Higher-Dimensional Theory of Complex Dimensions
Language: English
Release Date: June 7, 2017
This monograph gives a state-of-the-art and accessible treatment of a new general higher-dimensional theory of complex dimensions, valid for arbitrary bounded subsets of Euclidean spaces, as well as for their natural generalization, relative fractal drums. It provides a significant extension of the...