“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
著者:Tamás Szamuely
出版社: Cambridge University Press
発売日: 2015年11月10日
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
Giving an easily accessible elementary introduction to the algebraic theory of quadratic forms, this book covers both Witt's theory and Pfister's theory of quadratic forms. Leading topics include th……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 is a book about infinity ー specifically the infinity of numbers, and how one kind of infinity is greater than all the rest. Along the way the author will demonstrate how infinity can be made t……続きを見る
This book presents a method for evaluating Selberg zeta functions via transfer operators for the full modular group and its congruence subgroups with characters. Studying zeros of Selberg zeta funct……続きを見る
著者:Juliusz Brzeziński
出版社: Springer International Publishing
発売日: 2018年03月21日
This textbook offers a unique introduction to classical Galois theory through many concrete examples and exercises of varying difficulty (including computer-assisted exercises).
In addition to cover……続きを見る
This resource volume is an enlargement as well as an update of the previous edition. The book aims to introduce the reader to over 100 different families of positive integers. A brief historical not……続きを見る
Discrete mathematics is quickly becoming one of the most important areas of mathematical research, with applications to cryptography, linear programming, coding theory and the theory of computing. T……続きを見る
In this monograph, we study recent results on some categories of trigonometric/exponential sums along with various of their applications in Mathematical Analysis and Analytic Number Theory. Through ……続きを見る