Offers an introduction to abstract algebra for advanced undergraduate students. This book discusses the general theory of ideals as well as maximal ideals in the rings of polynomials over the rational numbers. It focuses on field theory and Galois theory to illustrate the correspondence between the Galois groups and field extensions.
Offers an introduction to abstract algebra for advanced undergraduate students. This book discusses the general theory of ideals as well as maximal id...
This is a first-ever textbook written in English about the theory of modular forms and Jacobi forms of several variables. It contains the classical theory as well as a new theory on Jacobi forms over Cayley numbers developed by the author from 1990 to 2000. Applications to the classical Euler sums are of special interest to those who are eager to evaluate double Euler sums or more general multiple zeta values. The celebrated sum formula proved by Granville in 1997 is generalized to a more general form here.
This is a first-ever textbook written in English about the theory of modular forms and Jacobi forms of several variables. It contains the classical th...
A First Course in Linear Algebra is written by two experts from algebra who have more than 20 years of experience in algebra, linear algebra and number theory. It prepares students with no background in Linear Algebra. Students, after mastering the materials in this textbook, can already understand any Linear Algebra used in more advanced books and research papers in Mathematics or in other scientific disciplines.This book provides a solid foundation for the theory dealing with finite dimensional vector spaces. It explains in details the relation between linear transformations and matrices....
A First Course in Linear Algebra is written by two experts from algebra who have more than 20 years of experience in algebra, linear algebra and numbe...
A First Course in Linear Algebra is written by two experts from algebra who have more than 20 years of experience in algebra, linear algebra and number theory. It prepares students with no background in Linear Algebra. Students, after mastering the materials in this textbook, can already understand any Linear Algebra used in more advanced books and research papers in Mathematics or in other scientific disciplines.This book provides a solid foundation for the theory dealing with finite dimensional vector spaces. It explains in details the relation between linear transformations and matrices....
A First Course in Linear Algebra is written by two experts from algebra who have more than 20 years of experience in algebra, linear algebra and numbe...