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007 cr cnu|||unuuu
008 201123s2021 si ob 001 0 eng
040 _a WSPC
_b eng
_c WSPC
010 _z 2020052518
020 _a9789811222733
_q(ebook)
020 _z9789811222726
_q(hbk.)
042 _apcc
050 0 0 _aQA184.2
_b.E73 2021
072 7 _aMAT
_x002050
_2bisacsh
072 7 _aMAT
_x019000
_2bisacsh
072 7 _aMAT
_x036000
_2bisacsh
082 0 0 _a512/.5
_223
100 1 _aErdman, John M.,
_d1935-
_921213
245 1 0 _aElements of linear and multilinear algebra
_h[electronic resource] /
_cby John M. Erdman.
260 _aSingapore ;
_aNew Jersey :
_bWorld Scientific,
_c2021.
300 _a1 online resource (5, 219 p.)
538 _aMode of access: World Wide Web.
538 _aSystem requirements: Adobe Acrobat Reader.
504 _aIncludes bibliographical references and index.
505 0 _aVector spaces -- Linear transformations -- The language of categories -- The spectral theorem for vector spaces -- The spectral theorem for inner product spaces -- A brief review of differential calculus -- Multilinear maps and determinants -- Tensor algebras -- Differential manifolds -- Differential forms on manifolds -- Homology and cohomology -- Stokes' theorem -- Geometric algebra -- Clifford algebras.
520 _a"This set of notes is an activity-oriented introduction to linear and multilinear algebra. The great majority of the most elementary results in these subjects are straightforward and can be verified by the thoughtful student. Indeed, that is the main point of these notes - to convince the beginner that the subject is accessible. In the material that follows there are numerous indicators that suggest activity on the part of the reader: words such as "proposition", "example", "theorem", "exercise", and "corollary", if not followed by a proof (and proofs here are very rare) or a reference to a proof, are invitations to verify the assertions made. These notes are intended to accompany an (academic) year-long course at the advanced undergraduate or beginning graduate level. (With judicious pruning most of the material can be covered in a two-term sequence.) The text is also suitable for a lecture-style class, the instructor proving some of the results while leaving others as exercises for the students. This book has tried to keep the facts about vector spaces and those about inner product spaces separate. Many beginning linear algebra texts conflate the material on these two vastly different subjects"--Publisher's website.
650 0 _aAlgebras, Linear.
_94004
650 0 _aMultilinear algebra.
_921214
655 0 _aElectronic books.
_93294
856 4 0 _uhttps://www.worldscientific.com/worldscibooks/10.1142/11896#t=toc
_zAccess to full text is restricted to subscribers.
942 _cEBK
999 _c72776
_d72776