A Survey of Modern Algebra

ISBN-13: 9781568810683 / Angielski / Twarda / 1998 / 512 str.

Saunders MacLane; Garrett Birkhoff; Garrett D. Birkhoff

Opis

This text introduces abstract algebra using familiar and concrete examples that illustrate each new concept as it is presented. It includes the coverage of 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 more.

Spis treści

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

O autorze

Birkhoff , Garrett; Mac Lane , Saunders