Preface to the Fourth Edition, 1The Integers, 2 Rational Numbers and Fields, 3: Polynomials, 4: Real Numbers, 5: Complex Numbers, 6: Groups, 7: Vectors and Vector Spaces, 8: The Algebra of Matrices, 9: Linear Groups, 10: Determinants and Canonical Forms, 11: Boolean Algebras and Lattices, 12: Transfinite Arithmetic, 13: Rings and Ideals, 14: Algebraic Number Fields, 15: Galois Theory, Bibliography, List of Special Symbols, Index