000			03095nam a2200301Ia 4500
003			OSt
005			20250403020504.0
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020			_a9789400726352 (pbk.) _c€ 79.99
040			_bENG _cIISER-BPR
041			_aENG
082			_a512.5 _bGOL _223rd
100			_aGolan, Jonathan S. _91100
222			_aMathematics
245		4	_aThe linear algebra : _bA beginning graduate student ought to know
250			_a3rd ed.
260			_aNew York: _bSpringer Science, _cc2012
300			_axi, 497p. : _bill (col.). ; _c24cm
504			_aIncludes colored illustrations, appendices and subject index.
520			_aLinear algebra is a living, active branch of mathematics which is central to almost all other areas of mathematics, both pure and applied, as well as to computer science, to the physical, biological, and social sciences, and to engineering. It encompasses an extensive corpus of theoretical results as well as a large and rapidly-growing body of computational techniques. Unfortunately, in the past decade, the content of linear algebra courses required to complete an undergraduate degree in mathematics has been depleted to the extent that they fail to provide a sufficient theoretical or computational background. Students are not only less able to formulate or even follow mathematical proofs, they are also less able to understand the mathematics of the numerical algorithms they need for applications. Certainly, the material presented in the average undergraduate course is insufficient for graduate study. This book is intended to fill the gap which has developed by providing enough theoretical and computational material to allow the advanced undergraduate or beginning graduate student to overcome this deficiency and be able to work independently or in advanced courses. The book is intended to be used either as a self-study guide, a textbook for a course in advanced linear algebra, or as a reference book. It is also designed to prepare a student for the linear algebra portion of prelim exams or PhD qualifying exams. The volume is self-contained to the extent that it does not assume any previous formal knowledge of linear algebra, though the reader is assumed to have been exposed, at least informally, to some of the basic ideas and techniques, such as manipulation of small matrices and the solution of small systems of linear equations over the real numbers. More importantly, it assumes a seriousness of purpose, considerable motivation, and a modicum of mathematical sophistication on the part of the reader. In the latest edition, new major theorems have been added, as wellas many new examples. There are over 130 additional exercises and many of the previous exercises have been revised or rewritten. In addition, a large number of additional biographical notes and thumbnail portraits of mathematicians have been included.
650			_aMathematics _92463
650			_aAlgebra _92464
650			_aLinear algebra _92465
942			_cBK _2ddc _01
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947			_a7331
948			_a22
999			_c4240 _d4240