This undergraduate text goes beyond the basics of modern algebra by presenting the fundamental topics of representation theory and Galois theory in a manner guided by the notion of actions of groups. Active learning modules and chapters that extend the first course support the transition to deeper ideas.
This undergraduate text goes beyond the basics of modern algebra by presenting the fundamental topics of representation theory and Galois theory in a manner guided by the notion of actions of groups. Active learning modules and chapters that extend the first course support the transition to deeper ideas.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
John McCleary is Professor of Mathematics on the Elizabeth Stillman Williams Chair at Vassar College. He received his Ph.D. in mathematics from Temple University, where he completed a thesis on algebraic topology under the direction of James Stasheff. The author of several books, including A User's Guide to Spectral Sequences and Geometry from a Differentiable Viewpoint, McCleary has published extensively on topology, the history of mathematics, and other topics. His current research focuses on algebraic topology - specifically, where algebra reveals what topology may conceal.
Inhaltsangabe
Preface 1. Warmup: more group theory 2. Groups acting on sets 3. Warmup: some linear algebra 4. Representation theory 5. Warmup: fields and polynomials 6. Galois theory 7. Epilogue References Index.
Preface 1. Warmup: more group theory 2. Groups acting on sets 3. Warmup: some linear algebra 4. Representation theory 5. Warmup: fields and polynomials 6. Galois theory 7. Epilogue References Index.
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