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Math 4 By Seong Kun Kim
eBook (ePub): $18.99
The algebra course is a vast subject and intended to be the foundation for future work in mathematics. Especially, combinatorial group theory is a current interest. I have tried to select important... More > and representative theorems and to organize them in coherent way. One of our guiding principles has therefore been to introduce as early sa possible notions such as injective homomorphisms, asphericity and the notions of an algebraic topological structure. The book contains a wealth of examples and exercises. The exercises range from routine computations to fairly sophisticated theoretical ones. In addition, a number of exercises describe useful computational techniques.< Less
Lecture Notes on Abstract Algebra By Seong Kun Kim
eBook (ePub): $8.99
In algebra, which is a broad division of mathematics, abstract algebra is a common name for the sub-area that studies algebraic structures in their own right. Such structures include groups, rings,... More > fields, modules, vector spaces, and algebras. The specific term abstract algebra was coined at the turn of the 20th century to distinguish this area from the other parts of algebra. The term modern algebra has also been used to denote abstract algebra. Two mathematical subject areas that study the properties of algebraic structures viewed as a whole are universal algebra and category theory. Algebraic structures, together with the associated homomorphisms, form categories. Category theory is a powerful formalism for studying and comparing different algebraic structures.< Less

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