An Invitation To Abstract Algebra Av Steven J. Rosenberg

<P>Studying abstract algebra can be an adventure of awe-inspiring discovery. The subject need not be watered down nor should it be presented as if all students will become mathematics instructors. This is a beautiful, profound, and useful field which is part of the shared language of many areas both within and outside of mathematics. </P><P></P><P>To begin this journey of discovery, some experience with mathematical reasoning is beneficial. This text takes a fairly rigorous approach to its subject, and expects the reader to understand and create proofs as well as examples throughout.</P><P></P><P>The book follows a single arc, starting from humble beginnings with arithmetic and high-school algebra, gradually introducing abstract structures and concepts, and culminating with Niels Henrik Abel and Evariste Galois'' achievement in understanding how we can-and cannot-represent the roots of polynomials. </P><P></P><P>The mathematically experienced reader may recognize a bias toward commutat

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