Number theory

In the summer quarter of 1949, I taught a ten-weeks introductory course on number theory at the University of Chicago; it was announced in the catalogue as "e;Alge- bra 251"e;.

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.

These Proceedings contain 22 refereed research and survey articles based on lectures given at the Turku Symposium on Number Theory in Memory of Kustaa Inkeri, held in Turku, Finland, from May 31 to June 4, 1999.

This volume contains invited lectures and selected research papers in the fields of classical and modern differential geometry, global analysis, and geometric methods in physics, presented at the 10th International Conference on Differential Geometry and its Applications (DGA2007), held in Olomouc, Czech Republic.

Keine ausführliche Beschreibung für "Zetafunktion und L-Funktionen zu einem arithmetischen Funktionenkörper vom Fermatschen Typus" verfügbar.

This volume contains papers by invited speakers of the symposium "e;Zeta Functions, Topology and Quantum Physics"e; held at Kinki U- versity in Osaka, Japan, during the period of March 3-6, 2003.

This two-volume book collects the lectures given during the three months cycle of lectures held in Northern Italy between May and July of 2001 to commemorate Professor Bernard Dwork (1923 - 1998).

Written for advanced undergraduate and first-year graduate students, this book aims to introduce students to a serious level of p-adic analysis with important implications for number theory.

This monograph outlines the structure of index form equations, and makes clear their relationship to other classical types of Diophantine equations.

In the last decade, the areas of quadratic and higher degree forms have witnessed dramatic advances.

This book focuses on a conjectural class of zeta integrals which arose from a program born in the work of Braverman and Kazhdan around the year 2000, the eventual goal being to prove the analytic continuation and functional equation of automorphic L-functions.

This textbook provides an undergraduate introduction to Galois theory and its most notable applications.

An Introduction to Grids, Graphs, and Networks aims to provide a concise introduction to graphs and networks at a level that is accessible to scientists, engineers, and students.

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Critical Point Theory in Global Analysis and Differential Topology

Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics.

This volume contains a valuable collection of articles presented at a conference on Automorphic Forms and Zeta Functions in memory of Tsuneo Arakawa, an eminent researcher in modular forms in several variables and zeta functions.

North-Holland Mathematical Library, Volume 13: Nonarchimedean Fields and Asymptotic Expansions focuses on the connection between nonarchimedean systems and the orders of infinity and smallness that are related with the asymptotic behavior of a function.

Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second Edition develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications.

This unique collection of new and classical problems provides full coverage of algebraic inequalities.

The common solutions of a finite number of polynomial equations in a finite number of variables constitute an algebraic variety.

This collection of course notes from a number theory summer school focus on aspects of Diophantine Analysis, addressed to Master and doctoral students as well as everyone who wants to learn the subject.

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.

In 1992, when Paul Erdos was awarded a Doctor Honoris Causa by Charles University in Prague, a small conference was held, bringing together a distin- guished group of researchers with interests spanning a variety of fields related to Erdos' own work.

A graduate text providing a brisk, thorough treatment of the foundations of algebraic number theory.

Although the Lucas sequences were known to earlier investigators such as Lagrange, Legendre and Genocchi, it is because of the enormous number and variety of results involving them, revealed by Edouard Lucas between 1876 and 1880, that they are now named after him.

This volume contains the proceedings from the first Women in MathArt Research Collaboration Conference for Women, showcasing women mathematicians researching and curating creative pedagogies at the intersection of mathematics and the arts.

Elementary number theory is concerned with the arithmetic properties of the ring of integers, Z, and its field of fractions, the rational numbers, Q.

For many years Serge Lang has given talks to undergraduates on selected items in mathematics which could be extracted at a level understandable by students who have had calculus.

In 1992, when Paul Erdos was awarded a Doctor Honoris Causa by Charles University in Prague, a small conference was held, bringing together a distin- guished group of researchers with interests spanning a variety of fields related to Erdos' own work.

Featuring the clearly presented and expertly-refereed contributions of leading researchers in the field of approximation theory, this volume is a collection of the best contributions at the Third International Conference on Applied Mathematics and Approximation Theory, an international conference held at TOBB University of Economics and Technology in Ankara, Turkey, on May 28-31, 2015.

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

This textbook covers a wide array of topics in analytic and multiplicative number theory, suitable for graduate level courses.

This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability.

This book presents the state of the art on numerical semigroups and related subjects, offering different perspectives on research in the field and including results and examples that are very difficult to find in a structured exposition elsewhere.

This book has arisen from a colloquium held at St.

In this book, many ideas by Felix Hausdorff are described and contemporary mathematical theories stemming from them are sketched.

A book about numbers sounds rather dull.

Homology Theory

Many different fractal dimensions have been proposed for networks.

This book presents a systematic treatment of Grobner bases in several contexts.

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.

This book is the first integrated treatment of sequences generated by finite automata and their generalizations.

Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, "e;down-to-earth"e; manner.

This book provides an introduction to algebraic number theory suitable for senior undergraduates and beginning graduate students in mathematics.

A step-by-step guide to Langlands'' early work leading up the Langlands Program for mathematicians and advanced students.

The book discusses important results in modern mathematical models and high performance computing, such as applied operations research, simulation of operations, statistical modeling and applications, invisibility regions and regular meta-materials, unmanned vehicles, modern radar techniques/SAR imaging, satellite remote sensing, coding, and robotic systems.