000			01893nam a2200217 4500
001			3468460
010			_a 93015006
020			_a048667598X (pbk.) :
082	0	0	_a512.15 _bMIC/A
100	1		_aMichel, Anthony N.
240	1	0	_aMathematical foundations in engineering and science
245	1	0	_aApplied algebra and functional analysis
260			_aNew York : _bDover Publications, _c1993.
300			_ax, 484 p. : _bill. ;
500			_aOriginally published: Mathematical foundations in engineering and science. Englewood Cliffs, N.J. : Prentice-Hall, c1981.
520			_a"The treatment is thorough; the book will certainly serve as a valuable reference." — American Scientist. Written for graduate and advanced undergraduate students in engineering and science, this book focuses primarily on set theory, algebra, and analysis. Useful both for self-study and as a reference, the text provides the readers with appropriate mathematical background for advanced study in engineering or science, a basis for more advanced mathematical study, and an overview of modern mathematics. The book is essentially divided into three parts: set theory (Chapter 1), algebra (Chapters 2‒4), and analysis (Chapters 5‒7). The first two chapters deal with the fundamental concepts of sets, functions, relations, and equivalence relations, and algebraic structures. Chapters 3 and 4 cover vector spaces and linear transformations, and finite-dimensional vector spaces and matrices. The last three chapters investigate metric spaces, normed spaces (Banach spaces) and inner product spaces (Hilbert spaces), and linear operators. A generous number of exercises have been integrated into the text and a section of references and notes is found at the end of each chapter. 1981 edition.
650		0	_aAlgebra.
650		0	_aMathematical analysis.
700	1		_aHerget, Charles J.
942			_cBK
999			_c64490 _d64490