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Neal Henry McCoy (March 6, 1905 – January 5, 2001) was an American mathematician, university professor, and author of several textbooks for mathematics undergraduates. . His 1960 textbook Introduction to Modern Algebra has gone through several editions and has been translated into many foreign langua
In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations acting on their elements. [1] Algebraic structures include groups , rings , fields , modules , vector spaces , lattices , and algebras over a field .
An Introduction to the Theory of Groups (1995), Springer-Verlag; ISBN 0-387-94285-8 A First Course in Abstract Algebra (2000), Prentice Hall; ISBN 0-13-011584-3 Advanced Modern Algebra (2002), Prentice Hall; ISBN 0-13-087868-5
Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.
This object of algebra was called modern algebra or abstract algebra, as established by the influence and works of Emmy Noether. [36] Some types of algebraic structures have useful and often fundamental properties, in many areas of mathematics. Their study became autonomous parts of algebra, and include: [14] group theory; field theory
In 1941 he and Mac Lane published A Survey of Modern Algebra, the second undergraduate textbook in English on the subject (Cyrus Colton MacDuffee's An Introduction to Abstract Algebra was published in 1940). Mac Lane and Birkhoff's Algebra (1967) is a more advanced text on abstract algebra.
Moderne Algebra (in German). Berlin: Springer.. English translation (of 2nd revised edition): Modern Algebra. New York: Frederick Ungar. 1949. (Later republished in English by Springer under the title "Algebra".)
Download as PDF; Printable version; ... rather, it is an elementary introduction to it. [23 ... In modern algebra a polynomial is a linear combination of variable x ...