Abstract algebra : An integrated approach /
Silverman, Joseph H.
Abstract algebra : An integrated approach / Joseph H. Silverman - Rhode Island : American Mathematical Society, 2022. - xvii, 567 p.: ill.; 25 CM.
A potpourri of preliminary topics
Groups: part 1
Rings: part 1
Vector spaces: part 1
Fields: part 1
Groups: part 2
Rings: part 2
Fields: part 2
Galois theory: fields+groups
Vector spaces: part 2
Modules: part 1: rings+vector-like spaces
Groups: part 3
Modules: part 2: multilinear algebra
This abstract algebra textbook takes an integrated approach that highlights the similarities of fundamental algebraic structures among a number of topics. The book begins by introducing groups, rings, vector spaces, and fields, emphasizing examples, definitions, homomorphisms, and proofs. The goal is to explain how all of the constructions fit into an axiomatic framework and to emphasize the importance of studying those maps that preserve the underlying algebraic structure. This fast-paced introduction is followed by chapters in which each of the four main topics is revisited and deeper result
9781470468606
Commutative algebra
Field theory and polynomials
512.02 / SIL
Abstract algebra : An integrated approach / Joseph H. Silverman - Rhode Island : American Mathematical Society, 2022. - xvii, 567 p.: ill.; 25 CM.
A potpourri of preliminary topics
Groups: part 1
Rings: part 1
Vector spaces: part 1
Fields: part 1
Groups: part 2
Rings: part 2
Fields: part 2
Galois theory: fields+groups
Vector spaces: part 2
Modules: part 1: rings+vector-like spaces
Groups: part 3
Modules: part 2: multilinear algebra
This abstract algebra textbook takes an integrated approach that highlights the similarities of fundamental algebraic structures among a number of topics. The book begins by introducing groups, rings, vector spaces, and fields, emphasizing examples, definitions, homomorphisms, and proofs. The goal is to explain how all of the constructions fit into an axiomatic framework and to emphasize the importance of studying those maps that preserve the underlying algebraic structure. This fast-paced introduction is followed by chapters in which each of the four main topics is revisited and deeper result
9781470468606
Commutative algebra
Field theory and polynomials
512.02 / SIL