000 03676cam a22004935i 4500
001 11477284
003 OSt
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006 m d
007 cr n
008 141105s2015 gw | s |||| 0|eng d
020 _a9783319307657
024 7 _a10.1007/978-3-319-11080-6
_2doi
_c5349.00
035 _a(WaSeSS)ssj0001386586
040 _dWaSeSS
_cAUI
050 4 _aQA184-205
072 7 _aPBF
_2bicssc
072 7 _aMAT002050
_2bisacsh
082 0 4 _a512.5
_223
100 1 _aAxler, Sheldon.
_eauthor.
_95675
210 1 0 _aLinear Algebra Done Right
245 1 0 _aLinear Algebra Done Right
_h[electronic resource]
_cby Sheldon Axler.
250 _a3rd ed.
260 _aLondon
_bSpringer
_c2015.
300 _axvii;340 p.
490 1 _aUndergraduate Texts in Mathematics,
_x0172-6056
506 _aLicense restrictions may limit access.
520 _aThis best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus the text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator. From reviews of previous editions: “… a didactic masterpiece” —Zentralblatt MATH “… a tour de force in the service of simplicity and clarity … The most original linear algebra book to appear in years, it certainly belongs in every undergraduate library.” —CHOICE “The determinant-free proofs are elegant and intuitive.” —American Mathematical Monthly “Clarity through examples is emphasized … the text is ideal for class exercises … I congratulate the author and the publisher for a well-produced textbook on linear algebra.” —Mathematical Reviews
650 0 _aMathematics.
_95676
650 0 _aMatrix theory.
_95677
650 1 4 _aMathematics.
_95678
650 2 4 _aLinear and Multilinear Algebras, Matrix Theory.
_95679
710 2 _aSpringerLink (Online service)
_95680
773 0 _tSpringer eBooks
773 0 _tSpringerLINK ebooks - Mathematics and Statistics (2015)
776 0 8 _iPrinted edition:
_z9783319110790
830 0 _aUndergraduate Texts in Mathematics,
_95681
856 4 0 _uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio11477284
_zFull text available from SpringerLINK ebooks - Mathematics and Statistics (2015)
910 _aVendor-generated brief record
942 _2ddc
_cBK
990 _aQA
999 _c12953
_d12953