A Survey of Modern Algebra: Fifth 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 text introduces abstract algebra using familiar and concrete examples that illustrate each concept as it is presented. It covers such topics as the role of careful proof in algebra; linear algebra as grounded in geometry; groups as expressions of symmetry; subgroups and subsystems leading to lattice theory; and much more"--Cover