Download Abstract Algebra (Graduate Texts in Mathematics) by Pierre Antoine Grillet PDF

By Pierre Antoine Grillet

A thoroughly remodeled new version of this excellent textbook. This key paintings is geared to the desires of the graduate scholar. It covers, with proofs, the standard significant branches of teams, earrings, fields, and modules. Its inclusive procedure implies that all the valuable components are explored, whereas the extent of element is perfect for the meant readership. The textual content attempts to advertise the conceptual knowing of algebra as an entire, doing so with a masterful seize of technique. regardless of the summary subject material, the writer encompasses a cautious number of very important examples, including an in depth elaboration of the extra refined, summary theories.

Show description

Read or Download Abstract Algebra (Graduate Texts in Mathematics) PDF

Best group theory books

Lectures on Profinite Topics in Group Theory (London Mathematical Society Student Texts)

During this publication, 3 authors introduce readers to robust approximation equipment, analytic pro-p teams and zeta capabilities of teams. every one bankruptcy illustrates connections among countless crew idea, quantity concept and Lie idea. the 1st introduces the idea of compact p-adic Lie teams. the second one explains how equipment from linear algebraic teams should be utilised to review the finite photographs of linear teams.

Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane

This targeted textual content is an creation to harmonic research at the easiest symmetric areas, particularly Euclidean house, the sector, and the Poincaré higher part plane.  This publication is meant for starting graduate scholars in arithmetic or researchers in physics or engineering.  Written with an off-the-cuff kind, the e-book locations an emphasis on motivation, concrete examples, background, and, primarily, functions in arithmetic, statistics, physics, and engineering.

Topics in Noncommutative Algebra: The Theorem of Campbell, Baker, Hausdorff and Dynkin (Lecture Notes in Mathematics)

Inspired by means of the significance of the Campbell, Baker, Hausdorff, Dynkin Theorem in lots of various branches of arithmetic and Physics (Lie group-Lie algebra thought, linear PDEs, Quantum and Statistical Mechanics, Numerical research, Theoretical Physics, keep an eye on conception, sub-Riemannian Geometry), this monograph is meant to: fully let readers (graduates or experts, mathematicians, physicists or utilized scientists, accustomed to Algebra or now not) to appreciate and observe the statements and  quite a few corollaries of the most result, provide a large spectrum of proofs from the trendy literature, evaluating various concepts and furnishing a unifying standpoint and notation, supply an intensive old heritage of the implications, including unknown proof concerning the potent early contributions by way of Schur, Poincaré, Pascal, Campbell, Baker, Hausdorff and Dynkin, give an outlook at the purposes, in particular in Differential Geometry (Lie crew conception) and research (PDEs of subelliptic variety) and quickly let the reader, via an outline of the state-of-art and open difficulties, to appreciate the fashionable literature referring to a theorem which, notwithstanding having its roots before everything of the 20th century, has no longer ceased to supply new difficulties and purposes.

A Course in Finite Group Representation Theory (Cambridge Studies in Advanced Mathematics)

This graduate-level textual content offers an intensive grounding within the illustration conception of finite teams over fields and earrings. The e-book presents a balanced and entire account of the topic, detailing the equipment had to study representations that come up in lots of components of arithmetic. Key issues comprise the development and use of personality tables, the position of induction and restrict, projective and easy modules for crew algebras, indecomposable representations, Brauer characters, and block idea.

Additional info for Abstract Algebra (Graduate Texts in Mathematics)

Example text

Download PDF sample

Rated 4.36 of 5 – based on 46 votes