E Book

Undergraduate Algebra

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The Integers -- Groups -- Rings -- Polynomials -- Vector Spaces and Modules -- Some Linear Groups -- Field Theory -- Finite Fields -- The Real and Complex Numbers -- Sets.Undergraduate Algebra is a text for the standard undergraduate algebra course. It concentrates on the basic structures and results of algebra, discussing groups, rings, modules, fields, polynomials, finite fields, Galois Theory, and other topics. The author has also included a chapter on groups of matrices which is unique in a book at this level. Throughout the book, the author strikes a balance between abstraction and concrete results, which enhance each other. Illustrative examples accompany the general theory. Numerous exercises range from the computational to the theoretical, complementing results from the main text. For the third edition, the author has included new material on product structure for matrices (e.g. the Iwasawa and polar decompositions), as well as a description of the conjugation representation of the diagonal group. He has also added material on polynomials, culminating in Noah Snyder’s proof of the Mason-Stothers polynomial abc theorem. About the First Edition: The exposition is down-to-earth and at the same time very smooth. The book can be covered easily in a one-year course and can be also used in a one-term course...the flavor of modern mathematics is sprinkled here and there. - Hideyuki Matsumura, Zentralblatt.

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

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Penerbit

New York : Springer., 2005

Deskripsi Fisik

XII, 389 p.online resource.

Bahasa

English

ISBN/ISSN

9780387274751

Klasifikasi

512

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

3rd ed. 2005.

Subjek

Algebra.
Field theory (Physics).
Field Theory and Polynomials.

Info Detail Spesifik

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Pernyataan Tanggungjawab

Serge Lang.

Versi lain/terkait

Lampiran Berkas

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