Number Theory 1

This is the most comprehensive survey of the mathematical life of the legendary Paul Erdős (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the……続きを見る

The topic of the book is a completely new area in mathematics: supersymmetry and cyclicity in various number systems. It sounds complicated, but there are no mind-numbing formulas, just basic arithm……続きを見る

The question of reconstructing a geometric shape from spectra of operators (such as the Laplace operator) is decades old and an active area of research in mathematics and mathematical physics. This ……続きを見る

Differential Geometry and Its Visualization is suitable for graduate level courses in differential geometry, serving both students and teachers. It can also be used as a supplementary reference for ……続きを見る

This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders, a subject with applications in diverse areas of mathematics. Written to be ac……続きを見る

Ogni curioso dei numeri Primi, “i mattoni con cui si costruiscono tutti gli altri numeri”, sa che la ricerca di una semplice formula per “distinguere nell'ambito degli interi positivi tutti i numeri……続きを見る

Dieses eBook wurde mit einem funktionalen Layout erstellt und sorgfältig formatiert. Die Ausgabe ist mit interaktiven Inhalt und Begleitinformationen versehen, einfach zu navigieren und gut gegliede……続きを見る

This monograph provides a brief exposition of automorphic forms of weight 1 and their applications to arithmetic, especially to Galois representations. One of the outstanding problems in arithmetic ……続きを見る

In its simplest form, Hodge theory is the study of periods – integrals of algebraic differential forms which arise in the study of complex geometry and moduli, number theory and physics. Organized a……続きを見る

A classical theorem of Jordan states that every finite transitive permutation group contains a derangement. This existence result has interesting and unexpected applications in many areas of mathema……続きを見る

From antiquity, the strangest of systems attempting to reveal the universe has been that of numbers. This book goes back to the mystical meaning and inherent virtue of numbers. It discusses the Qaba……続きを見る

In this appealing and well-written text, Richard Bronson starts with the concrete and computational, and leads the reader to a choice of major applications. The first three chapters address the basi……続きを見る

‘I have a truly marvellous demonstration of this proposition which this margin is too narrow to contain.’ It was with these words, written in the 1630s, that Pierre de Fermat intrigued and infuriate……続きを見る

Understanding maths has never been easier. Combining bold, elegant graphics with easy-to-understand text, Simply Maths is the perfect introduction to the subject for those who are short of time but ……続きを見る

Contains 25 surveys in algebra and model theory, all written by leading experts in the field. The surveys are based around talks given at conferences held in Essen, 1994, and Dresden, 1995. Each con……続きを見る

A fascinating journey into the mind-bending world of prime numbers Cicadas of the genus Magicicada appear once every 7, 13, or 17 years. Is it just a coincidence that these are all prime numbers? Ho……続きを見る

Introductory Complex Analysis is a scaled-down version of A. I. Markushevich's masterly three-volume "Theory of Functions of a Complex Variable." Dr. Richard Silverman, the editor and translator of ……続きを見る

Handbook of Algebra defines algebra as consisting of many different ideas, concepts and results. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disg……続きを見る

'The book is mainly addressed to the non-expert reader, in that it assumes only a little background in complex analysis and algebraic geometry, but no previous knowledge in transcendental number the……続きを見る

Ever since the concepts of Galois groups in algebra and fundamental groups in topology emerged during the nineteenth century, mathematicians have known of the strong analogies between the two concep……続きを見る

The amount of mathematics invented for number-theoretic reasons is impressive. It includes much of complex analysis, the re-foundation of algebraic geometry on commutative algebra, group cohomology,……続きを見る

We propose here a study of ‘semiexact’ and ‘homological' categories as a basis for a generalised homological algebra. Our aim is to extend the homological notions to deeply non-abelian situations, w……続きを見る

THE BOOK The book introduces new angles of looking at mathematical ideas, i.e., new insights on the mathematical ideas. It should encourage the reader to think further about the ideas and possibly d……続きを見る

Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceedi……続きを見る

There are still many arithmetic mysteries surrounding the values of the Riemann zeta function at the odd positive integers greater than one. For example, the matter of their irrationality, let alone……続きを見る

Harald Niederreiter's pioneering research in the field of applied algebra and number theory has led to important and substantial breakthroughs in many areas. This collection of survey articles has b……続きを見る

A series of three symposia took place on the topic of trace formulas, each with an accompanying proceedings volume. The present volume is the third and final in this series and focuses on relative t……続きを見る

This text aims to provide graduate students with a self-contained introduction to topics that are at the forefront of modern algebra, namely, coalgebras, bialgebras and Hopf algebras. The last chapt……続きを見る

Moduli theory is the study of how objects, typically in algebraic geometry but sometimes in other areas of mathematics, vary in families and is fundamental to an understanding of the objects themsel……続きを見る

From zero to infinity, The Book of Numbers is a handy-sized volume which opens up a new realm of knowledge. Where else in one place could you find out how the illegal numbers racket worked, what mak……続きを見る