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Linear algebra /
Linear Algebra is intended to be used as a text for a one-semester course in linear algebra at the undergraduate level. The treatment of the subject will be both useful to students of mathematics and those interested primarily in applications of the theory. The major prerequisite for mastering the m...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
[1968]
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mi 4500 | ||
|---|---|---|---|
| 001 | SCIDIR_ocn898768901 | ||
| 003 | OCoLC | ||
| 005 | 20231117044502.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 141227s1968 nyu ob 000 0 eng d | ||
| 040 | |a EBLCP |b eng |e pn |c EBLCP |d IDEBK |d N$T |d HEBIS |d OCLCQ |d N$T |d E7B |d OCLCF |d DEBSZ |d YDXCP |d OCLCQ |d COO |d OCLCQ |d ORE |d OCLCQ |d MERUC |d OCLCQ |d VLY |d OCLCO |d OCLCQ |d OCLCO | ||
| 019 | |a 622070594 |a 680216869 |a 911592174 |a 1162265010 | ||
| 020 | |a 9781483265230 |q (electronic bk.) | ||
| 020 | |a 1483265234 |q (electronic bk.) | ||
| 020 | |a 9781483232089 |q (electronic bk.) | ||
| 020 | |a 1483232085 |q (electronic bk.) | ||
| 035 | |a (OCoLC)898768901 |z (OCoLC)622070594 |z (OCoLC)680216869 |z (OCoLC)911592174 |z (OCoLC)1162265010 | ||
| 042 | |a dlr | ||
| 050 | 4 | |a QA251 |b .S87 1968eb | |
| 072 | 7 | |a MAT |x 002050 |2 bisacsh | |
| 082 | 0 | 4 | |a 512.5 |2 18 |
| 100 | 1 | |a Stoll, Robert Roth. | |
| 245 | 1 | 0 | |a Linear algebra / |c R.R. Stoll and E.T. Wong. |
| 260 | |a New York : |b Academic Press, |c [1968] | ||
| 300 | |a 1 online resource (x, 326 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references (pages 313-315). | ||
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; Linear Algebra; Copyright Page; Preface; Table of Contents; Symbols; Chapter 1. VECTOR SPACES; 1 VECTORS; 2 DEFINITIONS OF A VECTOR SPACE; 3 SUBSPACES AND THEIR ALGEBRA; 4 VECTOR SPACES OVER ARBITRARY FIELDS; Chapter 2. FURTHER PROPERTIES OF VECTOR SPACES; 1 BASES AND DIMENSION; 2 ISOMORPHISM; 3 CALCULATION METHODS; 4 CHANGE OF BASIS; 5 GEOMETRIC ASPECTS OF VECTOR SPACES; Chapter 3. INNER-PRODUCT SPACES; 1 EUCLIDEAN SPACES; 2 ORTHONORMAL BASES; 3 DISTANCES AND NORMS; 4 ORTHOGONAL COMPLEMENTS AND ORTHOGONAL PROJECTIONS; 5 UNITARY SPACES; Chapter 4. LINEAR TRANSFORMATIONS. | |
| 505 | 8 | |a 1 DEFINITION OF A LINEAR TRANSFORMATION2 RANGE, NULL SPACE, RANK, AND NULLITY; 3 THE VECTOR SPACES L (V, W) AND L (V, V); 4 LINEAR FUNCTIONALS AND DUAL SPACES; 5 ANNIHILATORS; 6 ADJOINTS; 7 UNITARY AND ORTHOGONAL TRANSFORMATIONS; Chapter 5. MATRICES; 1 RANK; 2 SIMILAR LINEAR TRANSFORMATIONS AND MATRICES; 3 ELEMENTARY MATRICES; 4 TRIANGULAR MATRICES; 5 DETERMINANTS; Chapter 6. ALGEBRAIC PROPERTIES OF LINEAR TRANSFORMATIONS; 1 POLYNOMIAL RINGS; 2 MINIMAL POLYNOMIALS; 3 CHARACTERISTIC VALUES AND VECTORS; 4 DLAGONALIZATION OF SELF-ADJOINT TRANSFORMATIONS; 5 CHARACTERISTIC POLYNOMIALS. | |
| 505 | 8 | |a 6 TRIANGULABLE LINEAR TRANSFORMATIONSChapter 7. BILINEAR FORMS AND QUADRATIC FORMS; 1 BILINEAR FORMS; 2 QUADRATIC FORMS; 3 EXTERNAL PROPERTIES OF CHARACTERISTIC VALUES OF A SYMMETRIC MATRIX; Chapter 8. DECOMPOSITION THEOREMS FOR NORMAL TRANSFORMATIONS; 1 DIRECT SUMS AND PROJECTIONS; 2 A DECOMPOSITION THEOREM; 3 NORMAL TRANSFORMATIONS; 4 THE JORDAN NORMAL FORM; Chapter 9. SEVERAL APPLICATIONS OF LINEAR ALGEBRA; 1 LINEAR DIFFERENTIAL EQUATIONS; 2 ECONOMICS: INTERACTIONS AMONG INDUSTRIES AND CONSUMERS; 3 CHEMISTRY: ANALYSIS OF MULTICOMPONENT MIXTURES; 4 PHYSICS: COUPLED OSCILLATIONS AND NORMAL MODES5 CHEMICAL PHYSICS : THE HARMONIC OSCILLATOR; Appendix: NOTIONS OF SET THEORY; INDEX. | |
| 520 | |a Linear Algebra is intended to be used as a text for a one-semester course in linear algebra at the undergraduate level. The treatment of the subject will be both useful to students of mathematics and those interested primarily in applications of the theory. The major prerequisite for mastering the material is the readiness of the student to reason abstractly. Specifically, this calls for an understanding of the fact that axioms are assumptions and that theorems are logical consequences of one or more axioms. Familiarity with calculus and linear differential equations is required for understanding some of the examples and exercises. This book sets itself apart from other similar textbooks through its dedication to the principle that, whenever possible, definitions and theorems should be stated in a form which is independent of the notion of the dimension of a vector space. A second feature of this book which is worthy of mention is the early introduction of inner product spaces and the associated metric concepts. Students soon feel at ease with this class of spaces because they share so many properties with physical space when equipped with a rectangular coordinate system. Finally, the book includes a chapter concerned with several applications to other fields of the theory that have been developed. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Algebras, Linear. | |
| 650 | 6 | |a Alg�ebre lin�eaire. |0 (CaQQLa)201-0001189 | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Linear. |2 bisacsh | |
| 650 | 7 | |a Algebras, Linear |2 fast |0 (OCoLC)fst00804946 | |
| 700 | 1 | |a Wong, E. T. |q (Edward Tak-wah), |d 1924- | |
| 776 | 0 | 8 | |i Print version: |a Stoll, Robert Roth. |t Linear algebra. |d New York, Academic Press [1968] |z 0126721300 |w (DLC) 68016517 |w (OCoLC)439473 |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9781483232089 |z Texto completo |