Introductory Modern Algebra (ePub)
A Historical Approach
(Sprache: Englisch)
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...
"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...
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Produktinformationen zu „Introductory Modern Algebra (ePub)“
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
ideals
* Historical discussions integrated with the development of
modern and abstract algebra in addition to many new explicit
statements of theorems, definitions, and terminology
* A new appendix on logic and proofs, sets, functions, and
equivalence relations
* Over 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.
"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
ideals
* Historical discussions integrated with the development of
modern and abstract algebra in addition to many new explicit
statements of theorems, definitions, and terminology
* A new appendix on logic and proofs, sets, functions, and
equivalence relations
* Over 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.
Autoren-Porträt von Saul Stahl
SAUL STAHL, PhD, is Professor in the Department of Mathematics at the University of Kansas. In addition to authoring six previous books and more than thirty papers in the field of geometry, Dr. Stahl has twice been the recipient of the Carl B. Allendoerfer Award from the Mathematical Association of America.
Bibliographische Angaben
- Autor: Saul Stahl
- 2013, 2. Auflage, 464 Seiten, Englisch
- Verlag: John Wiley & Sons
- ISBN-10: 1118552032
- ISBN-13: 9781118552032
- Erscheinungsdatum: 30.09.2013
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eBook Informationen
- Dateiformat: ePub
- Größe: 6.12 MB
- Mit Kopierschutz
Sprache:
Englisch
Kopierschutz
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