000 01840nam a2200205 4500
001 3872057
010 _a 89025870
020 _a9780486663418
082 0 0 _a512
_bWAR/M
100 1 _aWarner, Seth.
245 1 0 _aModern algebra
260 _aNew York :
_bDover Publications,
_c1990, c1965.
300 _axi, 818 p. :
_bill. ;
500 _a"An unabridged, corrected republication of the work originally published in two volumes by Prentice Hall, Inc., Englewood Cliffs, New Jersey, in 1965"--T.p. verso.
500 _a"Two volumes bound as one."
500 _aIncludes indexes.
520 _aThis standard text, written for junior and senior undergraduates, is unusual in that its presentation is accessible enough for the beginner, yet its thoroughness and mathematical rigor provide the more advanced student with an exceptionally comprehensive treatment of every aspect of modern algebra. It especially lends itself to use by beginning graduate students unprepared in modern algebra. The presentation opens with a study of algebraic structures in general; the first part then carries the development from natural numbers through rings and fields, vector spaces, and polynomials. The second part (originally published as a separate volume) is made up of five chapters on the real and complex number fields, algebraic extensions of fields, linear operations, inner product spaces, and the axiom of choice. For the benefit of the beginner who can best absorb the principles of algebra by solving problems, the author has provided over 1300 carefully selected exercises. "There is a vast amount of material in these books and a great deal is either new or presented in a new form." — Mathematical Reviews. Preface. List of Symbols. Exercises. Index. 28 black-and-white line illustrations.
650 0 _aAlgebra.
942 _cBK
999 _c64448
_d64448