A Survey of Modern Algebra: Fourth Edition

Main subject category: • Abstract AlgebraChapter Headings: • 1. The Integers • 2. Rational Numbers and Fields • 3. Polynomials • 4. Real Numbers • 5. Complex Numbers • 6. Groups • 7. Vector 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 • IndexThis classic, written by two young instructors who became giants in their field, has shaped the understanding of modern algebra for generations of mathematicians and remains a valuable reference and text for self-study and college courses. This classic, written by two young instructors who became giants in their field, has shaped the understanding of modern algebra for generations of mathematicians and remains a valuable reference and text for self study and college courses. An introductory algebra text covering commutative, non-commutative, and Boolean algebra and the lattice and Galois theories Garrett Birkhoff, Saunders Mac Lane. Includes Index. Bibliography: P. 483-485.