Название: Abstract Algebra: Applications to Galois Theory, Algebraic Geometry, Representation Theory and Cryptography
Автор: Celine Carstensen-Opitz, Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger
Издательство: De Gruyter
Год: 2019
Формат: PDF
Страниц: 424
Размер: 12,4 Mb
Язык: English

Traditionally, mathematics has been separated into three main areas: algebra, analysis, and geometry. Of course, there is a great deal of overlap between these areas. For example, topology, which is geometric in nature, owes its origins and problems as much to analysis as to geometry. Furthermore, the basic techniques in studying topology are predominantly algebraic. In general, algebraic methods and symbolism pervadeall of mathematics,and it is essentialfor any one learning any advanced mathematics to be familiar with the concepts and methods in abstract algebra.