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Introduction to Abstract Algebra - From Rings, Numbers, Groups, and Fields to Polynomials and Galois Theory (Hardcover)
Loot Price: R2,335
Discovery Miles 23 350
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Introduction to Abstract Algebra - From Rings, Numbers, Groups, and Fields to Polynomials and Galois Theory (Hardcover)
Expected to ship within 12 - 17 working days
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Introduction to Abstract Algebra presents a breakthrough approach
to teaching one of math's most intimidating concepts. Avoiding the
pitfalls common in the standard textbooks, Benjamin Fine, Anthony
M. Gaglione, and Gerhard Rosenberger set a pace that allows
beginner-level students to follow the progression from familiar
topics such as rings, numbers, and groups to more difficult
concepts. Classroom tested and revised until students achieved
consistent, positive results, this textbook is designed to keep
students focused as they learn complex topics. Fine, Gaglione, and
Rosenberger's clear explanations prevent students from getting lost
as they move deeper and deeper into areas such as abelian groups,
fields, and Galois theory. This textbook will help bring about the
day when abstract algebra no longer creates intense anxiety but
instead challenges students to fully grasp the meaning and power of
the approach. Topics covered include: rings; integral domains; the
fundamental theorem of arithmetic; fields; groups; Lagrange's
theorem; isomorphism theorems for groups; fundamental theorem of
finite abelian groups; the simplicity of A n for n=5; Sylow
theorems; the Jordan-Holder theorem; Ring isomorphism theorems;
Euclidean domains; principal ideal domains; the fundamental theorem
of algebra; Vector spaces; Algebras; field extensions: algebraic
and transcendental; the fundamental theorem of Galois theory; and
the insolvability of the quintic.
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