Textbooks A Book of Abstract Algebra

Book Cover for A Book of Abstract Algebra

A Book of Abstract Algebra

Charles C. Pinter 1982 Edition ISBN #9780070501300 1,515 Questions

2,186 Students Work From this Textbook

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Chapters

WHY ABSTRACT ALGEBRA?

OPERATIONS

THE DEFINITION OF GROUPS

ELEMENTARY PROPERTIES OF GROUPS

SUBGROUPS

FUNCTIONS

GROUPS OF PERMUTATIONS

PERMUTATIONS OF A FINITE SET

ISOMORPHISM

ORDER OF GROUP ELEMENTS

CYCLIC GROUPS

PARTITIONS AND EQUIVALENCE RELATIONS

COUNTING COSETS

HOMOMORPHISMS

QUOTIENT GROUPS

THE FUNDAMENTAL HOMOMORPHISM THEOREM

RINGS: DEFINITIONS AND ELEMENTARY PROPERTIES

IDEALS AND HOMOMORPHISMS

QUOTIENT RINGS

INTEGRAL DOMAINS

THE INTEGERS

FACTORING INTO PRIMES

ELEMENTS OF NUMBER THEORY

RINGS OF POLYNOMIALS

FACTORING POLYNOMIALS

SUBSTITUTION IN POLYNOMIALS

EXTENSIONS OF FIELDS

VECTOR SPACES

DEGREES OF FIELD EXTENSIONS

RULER AND COMPASS

GALOIS THEORY: PREAMBLE

GALOIS THEORY: THE HEART OF THE MATTER

SOLVING EQUATIONS BY RADICALS

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