E.S. - Number Theory 1

This monograph introduces a unified framework for analyzing and comparing the asymptotic growth of number-theoretic functions through the novel notions of degree and logexponential degree. Extending……続きを見る

“Who would have thought a book on random numbers would be more than randomly interesting? Author Szpiro draws readers in with clarity, wit and readily understood examples. Plenty of history, example……続きを見る

Dieses Lehrbuch führt auf prägnante und nachvollziehbare Art in die Abzähl- und Existenzprobleme der diskreten Mathematik ein. Es wendet sich an Studierende der Mathematik, der Informatik und benach……続きを見る

What Lynne Truss did for grammar in Eats, Shoots & Leaves, Andrew Hodges now does for mathematics. Andrew Hodges, one of Britain’s leading biographers and mathematical writers, brings numbers to thr……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

**How humanity’s long pursuit of ever-larger numbers broke the boundaries of mathematics and propelled us into the Information Age “A charming tour”ーJordan Ellenburg, author of Shape** What if, eve……続きを見る

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. We first look at p-adic families in the following……続きを見る

Introduction to Abelian Model Structures and Gorenstein Homological Dimensions provides a starting point to study the relationship between homological and homotopical algebra, a very active branch o……続きを見る

La collection intitulée 'Cryptographie et Mathématiques : Trois Ouvrages Classiques' s'offre comme une exploration intellectuelle des liens entre cryptographie et mathématiques, en mettant en lumièr……続きを見る

Abstract Algebra: A Gentle Introduction advantages a trend in mathematics textbook publishing towards smaller, less expensive and brief introductions to primary courses. The authors move away from t……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

A teoria afirma que, em algum momento após 2016, grande parte da internet passou a ser gerada por inteligências artificiais, bots e conteúdos automatizados ー não por humanos. Sites, perfis, fóruns ……続きを見る

Building on the success of the first edition, An Introduction to Number Theory with Cryptography, Second Edition, increases coverage of the popular and important topic of cryptography, integrating i……続きを見る

From the original hard cover edition: In the modern age of almost universal computer usage, practically every individual in a technologically developed society has routine access to the most up-to-d……続きを見る

The arrangement of nonzero entries of a matrix, described by the graph of the matrix, limits the possible geometric multiplicities of the eigenvalues, which are far more limited by this information ……続きを見る

This is the first book to provide a comprehensive overview of foundational results and recent progress in the study of random matrices from the classical compact groups, drawing on the subject's dee……続きを見る

Modular Forms is a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operator……続きを見る

This classic book contains an introduction to systems of l-adic representations, a topic of great importance in number theory and algebraic geometry, as reflected by the spectacular recent developme……続きを見る

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. While such a general questio……続きを見る

This textbook provides an undergraduate introduction to Galois theory and its most notable applications. Galois theory was born in the 19th century to study polynomial equations. Both powerful and e……続きを見る

This book is based on a course given by the author at Harvard University in the fall semester of 1988. The course focused on the inverse problem of Galois Theory: the construction of field extension……続きを見る

Elementary Number Theory takes an accessible approach to teaching students about the role of number theory in pure mathematics and its important applications to cryptography and other areas. The fir……続きを見る

This book gathers carefully chosen selection tests proposed to IMO (International Mathematical Olympiad) teams across many countries. Offering a blend of original solutions and adaptations by the au……続きを見る

Ancient times witnessed the origins of the theory of continued fractions. Throughout time, mathematical geniuses such as Euclid, Aryabhata, Fibonacci, Bombelli, Wallis, Huygens, or Euler have made s……続きを見る

Los números, ya sean considerados una invención o un descubrimiento, han formado parte de la humanidad desde el surgimiento del pensamiento abstracto y han estado vinculados a la necesidad humana de……続きを見る

Containing data on number theory, encryption schemes, and cyclic codes, this highly successful textbook, proven by the authors in a popular two-quarter course, presents coding theory, construction, ……続きを見る

L’acquisizione del numero può essere sviluppata attraverso diversi itinerari: - Acquisizione della struttura percettiva del numero, attraverso la stima numerica visiva della quantità; - Acquisizione……続きを見る

Our intention in writing this book is to give an elementary introduction to number theory which does not demand a great deal of mathematical back ground or maturity from the reader, and which can be……続きを見る

Basics of Ramsey Theory serves as a gentle introduction to Ramsey theory for students interested in becoming familiar with a dynamic segment of contemporary mathematics that combines ideas from numb……続きを見る

Presenting the first systematic treatment of the behavior of Néron models under ramified base change, this book can be read as an introduction to various subtle invariants and constructions related ……続きを見る