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Modern Higher Algebra

Abraham Albert



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01 May 2018
Abraham Adrian Albert was one of the 20th century's leading mathematicians. This 1937 monograph written by him was hailed by the Bulletin of the American Mathematical Society as "a welcome addition to the literature."

Besides furnishing an excellent introduction to abstract algebra and a detailed commentary on then-recent developments, the treatment's important features include chapters on matrices and matrix algebras, cyclic fields, and valuations. Suitable for students ready to advance beyond introductory courses, this book will also prove of interest to historians of mathematics.

Opening chapters focus on groups and rings, rings with a unity element, matrices, similarity of square matrices, and symmetric and skew matrices. Readers are given as much of the theory of finite groups as is necessary for the treatment of Galois theory. Subsequent chapters explore algebraic extensions and the ideas grouped around the theory of valuations.

Numerous problems of varying complexity appear throughout the text, which concludes with a helpful glossary offering brief definitions of frequently used terms.
Imprint:   Dover
Country of Publication:   United States
Dimensions:   Height: 229mm,  Width: 152mm, 
ISBN:   9780486823843
ISBN 10:   0486823849
Pages:   336
Publication Date:  
Audience:   General/trade ,  ELT Advanced
Format:   Paperback
Publisher's Status:   Unspecified

Abraham Adrian Albert (1905-1972) taught at the University of Chicago from 1931 until the end of his life and was Chairman of the Mathematics Department from 1958 until 1962. He wrote several highly regarded books on algebra, including The Structure of Algebras and Modern Higher Algebra. Dover also publishes his books An Introduction to Finite Projective Planes (with Reuben Sandler) and Solid Analytic Geometry.

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