Найти книгу: "Algebra and Number Theory"

Explore the main algebraic structures and number systems that play a central role across the field of mathematics Algebra and number theory are two powerful branches of modern mathematics at the forefront of current mathematical research, and each plays an increasingly significant role in different branches of mathematics, from geometry and topology to computing and communications. Based on the authors' extensive experience within the field, Algebra and Number Theory has an innovative approach that integrates three disciplines—linear algebra, abstract algebra, and number theory—into one comprehensive and fluid presentation, facilitating a deeper understanding of the topic and improving readers' retention of the main concepts. The book begins with an introduction to the elements of set theory. Next, the authors discuss matrices, determinants, and elements of field theory, including preliminary information related to integers and complex numbers. Subsequent chapters explore key ideas relating to linear algebra such as vector spaces, linear mapping, and bilinear forms. The book explores the development of the main ideas of algebraic structures and concludes with applications of algebraic ideas to number theory. Interesting applications are provided throughout to demonstrate the relevance of the discussed concepts. In addition, chapter exercises allow readers to test their comprehension of the presented material. Algebra and Number Theory is an excellent book for courses on linear algebra, abstract algebra, and number theory at the upper-undergraduate level. It is also a valuable reference for researchers working in different fields of mathematics, computer science, and engineering as well as for individuals preparing for a career in mathematics education.

During the last decade, the martial arts world has looked to innovative mixed martial arts competitions such as the Ultimate Fighting Championship to determine which fighting style is the best. These contests have repeatedly shown the grappling style of martial arts, headed by Brazilian jiu-jitsu, to dominate. The Brazilian jiu-jitsu style stems from the premise, garnered from analysis of actual street fights, that the outcome of any fight is decided on the ground. While most martial arts deal only with the initial punching and kicking stages of combat, Brazilian jiu-jitsu concentrates on ground combat. This guide shows how to use Brazilian jiu-jitsu to increase combat effectiveness. Photographs and step-by-step instructions show how to master the techniques used in this exciting new form of combat. Renzo Gracie, a two-time world Abu Dhabi submission jiu-jitsu champion, two-time Brazilian national champion, World Combat champion, and Martial Arts Reality Superfight champion, teaches Brazilian jiu-jitsu at an elite martial arts academy. Royler Gracie has competed in the Black Belt ranks for 20 years, winning the world title four times and the Abu Dhabi world submission championship for two consecutive years. They live in New York City.

As part of the dynamics of international economic cooperation by the need for mutual settlement operations, so the problem of organization of settlements is an important place for the economically active subjects, especially in a globalized economic space in the functioning of transnational structures and scale of the export, import and international financial transactions. In agreeing on the order of calculations, the participants determined the form of payment in order to fulfill the financial obligations of the agreement – regulated by means of voluntary compliance through a credit institution liabilities, characterized by specific features on the order of transfer of funds to the account, a certain kind of settlement document, as well as office procedures. The source of payment relations is the need to have one contractor expressed in the appropriate disposition, the other in shortage. This relationship gives rise as a consequence of the relationship with the lending institution. Need to accession will intensify in the subjects of international payment relationship.

Полный вариант заголовка: «A treatise on mensuration : both in theory and practice / by Charles Hutton».

Полный вариант заголовка: «An estimete of the number of inhabitants in Great Britain and Ireland / By Frederick Morton Eden, Bart».