EScience Library: AlgebraTextbooks

First Course in the Theory of Equations (Paperback)

First Course in the Theory of Equations (Paperback)
~ Leonard Eugene Dickson (Author)

Details

# Paperback: 200 pages
# Publisher: CreateSpace (October 3, 2009)
# Language: English
# ISBN-10: 1449500498
# ISBN-13: 978-1449500498

Description

This is a new printing of the classic book by Dickson. It was to meet the numerous needs of the student in regard to his earlier and future mathematical courses that the present book was planned with great care and after wide consultation. It differs essentially from the author's "Elementary Theory of Equations", both in regard to omissions and additions, and since it is addressed to younger students and may be used parallel with a course in differential calculus. Simpler and more detailed proofs are now employed. The exercises are simpler, more numerous, of greater variety, and involve more practical applications. There are more than 480 exercises for students to practice. Topics covered include complex numbers, roots of equations, the quadratic equation, graphical methods, cubic and quartic equations, numerical methods, systems of linear equations, etc. Answers to all the exercises are provided at the end of the book. This is a new, high quality, and affordable edition.

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Introduction to Algebra (Paperback)

Introduction to Algebra (Paperback)
~ Peter J. Cameron

Details

# Paperback: 350 pages
# Publisher: Oxford University Press, USA; 2 edition (February 9, 2008)
# Language: English
# ISBN-10: 0198527934
# ISBN-13: 978-0198527930

Description

Developed to meet the needs of modern students, this Second Edition of the classic algebra text by Peter Cameron covers all the abstract algebra an undergraduate student is likely to need. Starting with an introductory overview of numbers, sets and functions, matrices, polynomials, and modular arithmetic, the text then introduces the most important algebraic structures: groups, rings and fields, and their properties. This is followed by coverage of vector spaces and modules with applications to abelian groups and canonical forms before returning to the construction of the number systems, including the existence of transcendental numbers. The final chapters take the reader further into the theory of groups, rings and fields, coding theory, and Galois theory. With over 300 exercises, and web-based solutions, this is an ideal introductory text for Year 1 and 2 undergraduate students in mathematics.

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An Introductory Course in Commutative Algebra (Oxford Science Publications)

An Introductory Course in Commutative Algebra (Oxford Science Publications) (Paperback)
~ A. W. Chatters
A. W. Chatters (Author)

Details

# Paperback: 160 pages
# Publisher: Oxford University Press, USA (July 16, 1998)
# Language: English
# ISBN-10: 0198501447
# ISBN-13: 978-0198501442

Description

The authors provide a concise introduction to topics in commutative algebra, with an emphasis on worked examples and applications. Their treatment combines elegant algebraic theory with applications to number theory, problems in classical Greek geometry, and the theory of finite fields, which has important uses in other branches of science. Topics covered include rings and Euclidean rings, the four-squares theorem, fields and field extensions, finite cyclic groups and finite fields. The material can serve equally well as a textbook for an entire course or as preparation for the further study of abstract algebra.