Number theory

Geometry of Manifolds

Many different fractal dimensions have been proposed for networks.

Keine ausführliche Beschreibung für "Sammelband der zu Ehren des 250.

Differential Algebraic Groups

Robert A.

Classroom-tested and featuring over 100 exercises, this text introduces the key algebraic geometry field of Hurwitz theory.

This textbook effectively builds a bridge from basic number theory to recent advances in applied number theory.

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

The first part of the book gives a general introduction to key concepts in algebraic statistics, focusing on methods that are helpful in the study of models with hidden variables.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

Quantum mechanics and quantum field theory are highly successful physical theo- ries that have numerous practical applications.

This book is a revised and greatly expanded version of our book Elements of Number Theory published in 1972.

Representation Theory and Higher Algebraic K-Theory is the first book to present higher algebraic K-theory of orders and group rings as well as characterize higher algebraic K-theory as Mackey functors that lead to equivariant higher algebraic K-theory and their relative generalizations.

Updated to reflect current research and extended to cover more advanced topics as well as the basics, Algebraic Number Theory and Fermat's Last Theorem, Fifth Edition introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of mathematics-the quest for a proof of Fermat's Last Theorem.

From Polynomials to Sums of Squares describes a journey through the foothills of algebra and number theory based around the central theme of factorization.

This graduate textbook offers an introduction to modern methods in number theory.

The plan of this book had its inception in a course of lectures on arithmetical functions given by me in the summer of 1964 at the Forschungsinstitut fUr Mathematik of the Swiss Federal Institute of Technology, Zurich, at the invitation of Professor Beno Eckmann.

This book is intended as a teacher's manual and as an independent-study handbook for students and mathematical competitors.

Geometric Algebra is a very powerful mathematical system for an easy and intuitive treatment of geometry, but the community working with it is still very small.

Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion.

From Gauss to G|del, mathematicians have sought an efficientalgorithm to distinguish prime numbers from compositenumbers.

The present monograph further develops the study, via the techniques of combinatorial anabelian geometry, of the profinite fundamental groups of configuration spaces associated to hyperbolic curves over algebraically closed fields of characteristic zero.

Intended for graduate courses or for independent study, this book presents the basic theory of fields.

This volume is the offspring of a week-long workshop on "e;Galois groups over Q and related topics,"e; which was held at the Mathematical Sciences Research Institute during the week March 23-27, 1987.

The Smith Conjecture

Important results surrounding the proof of Goldbach's ternary conjecture are presented in this book.

This volume features contributions from the Women in Commutative Algebra (WICA) workshop held at the Banff International Research Station (BIRS) from October 20-25, 2019, run by the Pacific Institute of Mathematical Sciences (PIMS).

This volume explores the rich interplay between number theory and wireless communications, reviewing the surprisingly deep connections between these fields and presenting new research directions to inspire future research.

The relations that could or should exist between algebraic cycles, algebraic K-theory, and the cohomology of - possibly singular - varieties, are the topic of investigation of this book.

Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2001.

Because traditional ring theory places restrictive hypotheses on all submodules of a module, its results apply only to small classes of already well understood examples.

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.

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

This book contains 28 research articles from among the 49 papers and abstracts presented at the Tenth International Conference on Fibonacci Numbers and Their Applications.

Gauss created the theory of binary quadratic forms in "e;Disquisitiones Arithmeticae"e; and Kummer invented ideals and the theory of cyclotomic fields in his attempt to prove Fermat's Last Theorem.

This monograph provides a comprehensive treatment of the theory of pseudo-reductive groups and gives their classification in a usable form.

This comprehensive overview of lattice sums is long overdue for a topic that is important in diverse areas of science.

This edited volume presents a collection of carefully refereed articles covering the latest advances in Automorphic Forms and Number Theory, that were primarily developed from presentations given at the 2012 "e;International Conference on Automorphic Forms and Number Theory,"e; held in Muscat, Sultanate of Oman.

System Theory

Drinfeld Moduli Schemes and Automorphic Forms: The Theory of Elliptic Modules with Applications is based on the author's original work establishing the correspondence between ell-adic rank r Galois representations and automorphic representations of GL(r) over a function field, in the local case, and, in the global case, under a restriction at a single place.

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

The objective of this book is to provide tools for solving problems which involve cubic number fields.

This book aims to provide an introduction to the broad and dynamic subject of discrete energy problems and point configurations.

Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra.

A comprehensive treatment of block theory, emphasising cornerstones of the area which have not appeared in any book before.