Over 10 mio. titler Fri fragt ved køb over 499,- Hurtig levering Forlænget returret til 31/01/25
Studiebog DRM-beskyttet
Algebra

Algebra

- A Teaching and Source Book

  • Format
  • E-bog, PDF
E-bogen er DRM-beskyttet og kræver et særligt læseprogram

Beskrivelse

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.

Læs hele beskrivelsen
Detaljer

Findes i disse kategorier...

Se andre, der handler om...

Machine Name: SAXO081