000			01415cam a22002651 4500
008			720420s1965 nyua erb 001 0 eng
040			_aDLC _cDLC
050	0	0	_aQA251 _b.B5 1965
082	0	0	_a512.8 _bBIR
100	1		_aBirkhoff, Garrett.
245	1	2	_aA survey of modern algebra /
250			_a3rd ed.
260			_aNew York : _aMacmillan; _bLondon : _bCollier-Macmillan, _cc1965.
300			_ax, 437 p. :ill,
500			_aIncludes index.
504			_aIncludes bibliographical references: p. 423-425.
520			_aIn detail, Chapters 1-5 of the book center around the theory of linear and polynomial equations in commutative rings. Chapter 6 introduces non-commutative algebra through its simplest and most fundamental concept: that of a group. The group concept is applied systematically in Chapters 7 through 10, on vector spaces and matrices. Chapter 11 includes a completely revised introduction to Boolean algebra and lattice theory. Chapter 12 follows by a brief discussion of transfinite numbers. Finally, the last three chapters provide an introduction to general commutative algebra and arithmetic: ideals and quotient rings, extensions of fields, algebraic numbers and their factorization, and Galois theory.
590			_ane 01/03/2018
591			_aLoans
650		0	_aAlgebra.
650		0	_aMathematics.
700	1		_aMac Lane, Saunders.
942			_2ddc _cBOOK
949			_a512.8 BIR
999			_c7391 _d7391