Perihal e-buku ini
Using the unifying notion of group actions, this second course in modern algebra introduces the deeper algebraic tools needed to get into topics only hinted at in a first course, like the successful classification of finite simple groups and how groups play a role in the solutions of polynomial equations. Because groups may act as permutations of a set, as linear transformations on a vector space, or as automorphisms of a field, the deeper structure of a group may emerge from these viewpoints, two different groups can be distinguished, or a polynomial equation can be shown to be solvable by radicals. By developing the properties of these group actions, readers encounter essential algebra topics like the Sylow theorems and their applications, Galois theory, and representation theory. Warmup chapters that review and build on the first course and active learning modules help students transition to a deeper understanding of ideas.
Using the unifying notion of group actions, this second course in modern algebra introduces the deeper algebraic tools needed to get into topics only hinted at in a first course, like the successful classification of finite simple groups and how groups play a role in the solutions of polynomial e...
Temukan lagi
Perihal pengarang
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.
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...
Berikan rating untuk e-Buku ini
Beritahu kami pendapat anda.
Maklumat pembacaan
Telefon pintar dan tablet
Pasang apl Google Play Books untuk Android dan iPad/iPhone. Apl ini menyegerak secara automatik dengan akaun anda dan membenarkan anda membaca di dalam atau luar talian, walau di mana jua anda berada.
Komputer riba dan komputer
Anda boleh mendengar buku audio yang dibeli di Google Play menggunakan penyemak imbas web komputer anda.
eReader dan peranti lain
Untuk membaca pada peranti e-dakwat seperti Kobo eReaders, anda perlu memuat turun fail dan memindahkan fail itu ke peranti anda. Sila ikut arahan Pusat Bantuan yang terperinci untuk memindahkan fail ke e-Pembaca yang disokong.
