基礎代數1(第2版)
Basic Algebra I (Dover Books on Mathematics)
本書及其配套著作是一位在耶魯任教20年的代數專家的著作。內森·雅各布森的書具有概念和理論導向,除了作為課堂文本的價值外,它們還是有價值的參考資料。
卷一探討了本科課程中通常涉及的所有主題,包括集合論、羣論、環、模塊、伽羅瓦理論、多項式、線性代數和聯想代數的基礎知識。它的綜合處理擴展到代數、格和布爾代數等嚴格的主題。貫穿全文的練習,以及有見地的、經過仔細解釋的證明。
A classic text and standard reference for a generation, this volume and its companion are the work of an expert algebraist who taught at Yale for two decades. Nathan Jacobson's books possess a conceptual and theoretical orientation, and in addition to their value as classroom texts, they serve as valuable references.
Volume I explores all of the topics typically covered in undergraduate courses, including the rudiments of set theory, group theory, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra. Its comprehensive treatment extends to such rigorous topics as Lie and Jordan algebras, lattices, and Boolean algebras. Exercises appear throughout the text, along with insightful, carefully explained proofs.
One of the world's leading researchers in abstract algebra, Nathan Jacobson (1910-95) taught at several prominent universities, including the University of Chicago, Johns Hopkins, and Yale.
Author:Nathan Jacobson
Paperback: 528 pages
Publisher: Dover Publications Inc.; 2nd edition (26 Jun. 2009)
Language: English
ISBN-10: 0486471896
ISBN-13: 978-0486471891
Product Dimensions: 15.9 x 2.5 x 23.5 cm
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