Number theory

This interdisciplinary book covers a wide range of subjects, from pure mathematics (knots, braids, homotopy theory, number theory) to more applied mathematics (cryptography, algebraic specification of algorithms, dynamical systems) and concrete applications (modeling of polymers and ionic liquids, video, music and medical imaging).

This book discusses regular powers and symbolic powers of ideals from three perspectives- algebra, combinatorics and geometry - and examines the interactions between them.

This monograph introduces two approaches to studying Siegel modular forms: the classical approach as holomorphic functions on the Siegel upper half space, and the approach via representation theory on the symplectic group.

This text presents a careful introduction to methods of cryptology and error correction in wide use throughout the world and the concepts of abstract algebra and number theory that are essential for  understanding these methods.

This original monograph investigates several unsolved problems that currently exist in coding theory.

The power and properties of numbers, from basic addition and sums of squares to cutting-edge theoryWe use addition on a daily basis-yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity?

In the earlier monograph Pseudo-reductive Groups, Brian Conrad, Ofer Gabber, and Gopal Prasad explored the general structure of pseudo-reductive groups.

A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics-the Birch and Swinnerton-Dyer Conjecture.

Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices.

Weyl group multiple Dirichlet series are generalizations of the Riemann zeta function.

Factorization Method for Boundary Value Problems by Invariant Embedding presents a new theory for linear elliptic boundary value problems.

Written by experts in both mathematics and biology, Algebraic and Discrete Mathematical Methods for Modern Biology offers a bridge between math and biology, providing a framework for simulating, analyzing, predicting, and modulating the behavior of complex biological systems.

Algebra, as we know it today, consists of many different ideas, concepts and results.

Counting is made more playful with this sticker book for toddlers.

What does the natural world hide from the secrets of sexual differences in our various animals?

Keine ausführliche Beschreibung für "Bericht von der Dirichlet-Tagung" verfügbar.

Ordinary differential equations (ODEs) and differential-algebraic equations (DAEs) are widely used to model control systems in engineering, natural sciences, and economy.

Ordinary differential equations (ODEs) and differential-algebraic equations (DAEs) are widely used to model control systems in engineering, natural sciences, and economy.

This volume presents research and expository papers highlighting the vibrant and fascinating study of irregularities in the distribution of primes.

Elwyn Berlekamp, John Conway, and Richard Guy wrote 'Winning Ways for your Mathematical Plays' and turned a recreational mathematics topic into a full mathematical fi eld.

Lectures on NX(p) deals with the question on how NX(p), the number of solutions of mod p congruences, varies with p when the family (X) of polynomial equations is fixed.

Three major branches of number theory are included in the volume: namely analytic number theory, algebraic number theory, and transcendental number theory.

Three major branches of number theory are included in the volume: namely analytic number theory, algebraic number theory, and transcendental number theory.

In the two-volume set 'A Selection of Highlights' we present basics of mathematics in an exciting and pedagogically sound way.

A First Course on Orthogonal Polynomials: Classical Orthogonal Polynomials and Related Topics provides an introduction to orthogonal polynomials and special functions aimed at graduate students studying these topics for the first time.

Developed from the author's popular graduate-level course, Computational Number Theory presents a complete treatment of number-theoretic algorithms.

Natural numbers are the oldest human inventions.

The aim of this book is to give a systematic exposition of results in some important cases where p-adic families and p-adic L-functions are studied.

Prime Numbers, Friends Who Give Problems is written as a trialogue, with two persons who are interested in prime numbers asking the author, Papa Paulo, intelligent questions.

The book first explains the main properties of analytic functions in order to use them in the study of various problems in p-adic value distribution.

This volume consists of a selection of research-type articles on dynamical systems, evolution equations, analytic number theory and closely related topics.

This is the first introductory book on multiple zeta functions and multiple polylogarithms which are the generalizations of the Riemann zeta function and the classical polylogarithms, respectively, to the multiple variable setting.

This volume is an outgrowth of the program Modular Representation Theory of Finite and p-Adic Groups held at the Institute for Mathematical Sciences at National University of Singapore during the period of 1-26 April 2013.

Based on the successful 7th China-Japan seminar on number theory conducted in Kyushu University, this volume is a compilation of survey and semi-survey type of papers by the participants of the seminar.

This unique volume presents a fruitful and beautiful mathematical world hidden in Caianiello's neuronic equations, which describe the instantaneous behavior of a model of a brain or thinking machine.

In this proceedings, recent development on various aspects of algebra and number theory were discussed.

This resource volume is an enlargement as well as an update of the previous edition.

This book is purely algebraic and concentrates on cyclic homology rather than on cohomology.

This volume consists of a collection of invited papers on the theory of rings and modules, most of which were presented at the biennial Ohio State - Denison Conference, May 1992, in memory of Hans Zassenhaus.

The proceedings consists of invited papers by distinguished mathematicians reviewing the recent progress in analytic number theory and related topics.

In his 1974 seminal paper 'Elliptic modules', V G Drinfeld introduced objects into the arithmetic geometry of global function fields which are nowadays known as 'Drinfeld Modules'.

The Proceedings volume is divided into two parts.

This collection of tiling patterns contains over 4,000 images combining the wonders of art and mathematics.

This book is concerned with the generalizations of Sylow theorems and the related topics of formations and the fitting of classes to locally finite groups.

This book gives a self-contained fundamental study of the subject.

This book is an introduction to a rapidly growing subject of modern mathematics, the Kac-Moody algebra, which was introduced by V Kac and R Moody simultanously and independently in 1968.