Praise for the "First Edition"
"Stahl offers the solvability of equations from the historical
point of view...one of the best books available to support a
one-semester introduction to abstract algebra."--"CHOICE"
"Introductory Modern Algebra: A Historical Approach, Second
Edition" presents the evolution of algebra and provides readers
with the opportunity to view modern algebra as a consistent
movement from concrete problems to abstract principles. With a few
pertinent excerpts from the writings of some of the greatest
mathematicians, the "Second Edition "uniquely facilitates the
understanding of pivotal algebraic ideas.
The author provides a clear, precise, and accessible
introduction to modern algebra and also helps to develop a more
immediate and well-grounded understanding of how equations lead to
permutation groups and what those groups can inform us about such
diverse items as multivariate functions and the 15-puzzle.
Featuring new sections on topics such as group homomorphisms, the
RSA algorithm, complex conjugation, the factorization of real
polynomials, and the fundamental theorem of algebra, the "Second
Edition" also includes: An in-depth explanation of the principles
and practices of modern algebra in terms of the historical
development from the Renaissance solution of the cubic equation to
Dedekind's idealsHistorical discussions integrated with the
development of modern and abstract algebra in addition to many new
explicit statements of theorems, definitions, and terminologyA new
appendix on logic and proofs, sets, functions, and equivalence
relationsOver 1,000 new examples and multi-level exercises at the
end of each section and chapter as well as updated chapter
summaries
"Introductory Modern Algebra: A Historical Approach, Second
Edition" is an excellent textbook for upper-undergraduate courses
in modern and abstract algebra.
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