2015, ISBN: 9783319197333

[ED: Softcover], [PU: Springer / Springer International Publishing / Springer, Berlin], This book presents a graduate-level course on modern algebra. It can be used as a teaching book - o… More...

[ED: Softcover], [PU: Springer / Springer International Publishing / Springer, Berlin], This book presents a graduate-level course on modern algebra. It can be used as a teaching book - owing to the copious exercises - and as a source book for those who wish to use the major theorems of algebra. The course begins with the basic combinatorial principles of algebra: posets, chain conditions, Galois connections, and dependence theories. Here, the general Jordan-Holder Theorem becomes a theorem on interval measures of certain lower semilattices. This is followed by basic courses on groups, rings and modules; the arithmetic of integral domains; fields; the categorical point of view; and tensor products. Beginning with introductory concepts and examples, each chapter proceeds gradually towards its more complex theorems. Proofs progress step-by-step from first principles. Many interesting results reside in the exercises, for example, the proof that ideals in a Dedekind domain are generated by at most two elements. The emphasis throughout is on real understanding as opposed to memorizing a catechism and so some chapters offer curiosity-driven appendices for the self-motivated student. 1st ed. 2015. 2015. xxii, 539 S. XXII, 539 p. 6 illus. 235 mm Versandfertig in 6-10 Tagen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, Offene Rechnung (Vorkasse vorbehalten)<

2015, ISBN: 9783319197333

This book presents a graduate-level course on modern algebra. It can be used as a teaching book &#8211; owing to the copious exercises &#8211; and as a source book for those who w… More...

This book presents a graduate-level course on modern algebra. It can be used as a teaching book &#8211; owing to the copious exercises &#8211; and as a source book for those who wish to use the major theorems of algebra. The course begins with the basic combinatorial principles of algebra: posets, chain conditions, Galois connections, and dependence theories. Here, the general Jordan&#8211;Holder Theorem becomes a theorem on interval measures of certain lower semilattices. This is followed by basic courses on groups, rings and modules; the arithmetic of integral domains; fields; the categorical point of view; and tensor products. Beginning with introductory concepts and examples, each chapter proceeds gradually towards its more complex theorems. Proofs progress step-by-step from first principles. Many interesting results reside in the exercises, for example, the proof that ideals in a Dedekind domain are generated by at most two elements. The emphasis throughout is on real understanding as opposed to memorizing a catechism and so some chapters offer curiosity-driven appendices for the self-motivated student. Buch (fremdspr.) Ernest Shult#David Surowski Taschenbuch, Springer, 23.07.2015, Springer, 2015<

2015, ISBN: 9783319197333

This book presents a graduate-level course on modern algebra. It can be used as a teaching book &#8211; owing to the copious exercises &#8211; and as a source book for those who w… More...

This book presents a graduate-level course on modern algebra. It can be used as a teaching book &#8211; owing to the copious exercises &#8211; and as a source book for those who wish to use the major theorems of algebra. The course begins with the basic combinatorial principles of algebra: posets, chain conditions, Galois connections, and dependence theories. Here, the general Jordan&#8211;Holder Theorem becomes a theorem on interval measures of certain lower semilattices. This is followed by basic courses on groups, rings and modules; the arithmetic of integral domains; fields; the categorical point of view; and tensor products. Beginning with introductory concepts and examples, each chapter proceeds gradually towards its more complex theorems. Proofs progress step-by-step from first principles. Many interesting results reside in the exercises, for example, the proof that ideals in a Dedekind domain are generated by at most two elements. The emphasis throughout is on real understanding as opposed to memorizing a catechism and so some chapters offer curiosity-driven appendices for the self-motivated student. Buch (fremdspr.) Ernest Shult#David Surowski Taschenbuch, Springer, 23.07.2015, Springer, 2015<

2015, ISBN: 9783319197333

A Teaching and Source Book, Buch, Softcover, 1st ed. 2015, [PU: Springer International Publishing], Springer International Publishing, 2015

2015, ISBN: 3319197339

Algebra. - 1st ed. 2015: ab 74.99 € Medien > Bücher