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Cover: 9781852334253 | Further Linear Algebra | E F. Robertson (u. a.) | Taschenbuch | vii
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Further Linear Algebra
Taschenbuch von E F. Robertson (u. a.)
Sprache: Englisch

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Beschreibung
Most of the introductory courses on linear algebra develop the basic theory of finite­ dimensional vector spaces, and in so doing relate the notion of a linear mapping to that of a matrix. Generally speaking, such courses culminate in the diagonalisation of certain matrices and the application of this process to various situations. Such is the case, for example, in our previous SUMS volume Basic Linear Algebra. The present text is a continuation of that volume, and has the objective of introducing the reader to more advanced properties of vector spaces and linear mappings, and consequently of matrices. For readers who are not familiar with the contents of Basic Linear Algebra we provide an introductory chapter that consists of a compact summary of the prerequisites for the present volume. In order to consolidate the student's understanding we have included a large num­ ber of illustrative and worked examples, as well as many exercises that are strategi­ cally placed throughout the text. Solutions to the exercises are also provided. Many applications of linear algebra require careful, and at times rather tedious, calculations by hand. Very often these are subject to error, so the assistance of a com­ puter is welcome. As far as computation in algebra is concerned, there are several packages available. Here we include, in the spirit of a tutorial, a chapter that gives 1 a brief introduction to the use of MAPLE in dealing with numerical and algebraic problems in linear algebra.
Most of the introductory courses on linear algebra develop the basic theory of finite­ dimensional vector spaces, and in so doing relate the notion of a linear mapping to that of a matrix. Generally speaking, such courses culminate in the diagonalisation of certain matrices and the application of this process to various situations. Such is the case, for example, in our previous SUMS volume Basic Linear Algebra. The present text is a continuation of that volume, and has the objective of introducing the reader to more advanced properties of vector spaces and linear mappings, and consequently of matrices. For readers who are not familiar with the contents of Basic Linear Algebra we provide an introductory chapter that consists of a compact summary of the prerequisites for the present volume. In order to consolidate the student's understanding we have included a large num­ ber of illustrative and worked examples, as well as many exercises that are strategi­ cally placed throughout the text. Solutions to the exercises are also provided. Many applications of linear algebra require careful, and at times rather tedious, calculations by hand. Very often these are subject to error, so the assistance of a com­ puter is welcome. As far as computation in algebra is concerned, there are several packages available. Here we include, in the spirit of a tutorial, a chapter that gives 1 a brief introduction to the use of MAPLE in dealing with numerical and algebraic problems in linear algebra.
Zusammenfassung
This book is the sequel to one of SUMS' best-selling titles, Basic Linear
Algebra. The first chapter recaps the prerequisites for those unfamiliar
with the first volume and, as with the first volume, there is a wealth of
illustrative and worked examples, and exercises with solutions. The book
also features a brief introduction to the use of Maple in linear algebra
calculations
Inhaltsverzeichnis
The story so far.- 1. Inner Product Spaces.- 2. Direct Sums of Subspaces.- 3. Primary Decomposition.- 4. Reduction to Triangular Form.- 5. Reduction to Jordan Form.- 6. Rational and Classical Forms.- 7. Dual Spaces.- 8. Orthogonal Direct Sums.- 9. Bilinear and Quadratic Forms.- 10. Real Normality.- 11. Computer Assistance.- 12. .... but who were they?.- 13. Solutions to the Exercises.
Details
Erscheinungsjahr: 2001
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Springer Undergraduate Mathematics Series
Inhalt: vii
230 S.
2 s/w Illustr.
230 p. 2 illus.
ISBN-13: 9781852334253
ISBN-10: 1852334258
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Robertson, E F.
Blyth, T. S.
Hersteller: Springer London
Springer-Verlag London Ltd.
Springer Undergraduate Mathematics Series
Maße: 235 x 178 x 14 mm
Von/Mit: E F. Robertson (u. a.)
Erscheinungsdatum: 05.10.2001
Gewicht: 0,432 kg
Artikel-ID: 104422058
Zusammenfassung
This book is the sequel to one of SUMS' best-selling titles, Basic Linear
Algebra. The first chapter recaps the prerequisites for those unfamiliar
with the first volume and, as with the first volume, there is a wealth of
illustrative and worked examples, and exercises with solutions. The book
also features a brief introduction to the use of Maple in linear algebra
calculations
Inhaltsverzeichnis
The story so far.- 1. Inner Product Spaces.- 2. Direct Sums of Subspaces.- 3. Primary Decomposition.- 4. Reduction to Triangular Form.- 5. Reduction to Jordan Form.- 6. Rational and Classical Forms.- 7. Dual Spaces.- 8. Orthogonal Direct Sums.- 9. Bilinear and Quadratic Forms.- 10. Real Normality.- 11. Computer Assistance.- 12. .... but who were they?.- 13. Solutions to the Exercises.
Details
Erscheinungsjahr: 2001
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Springer Undergraduate Mathematics Series
Inhalt: vii
230 S.
2 s/w Illustr.
230 p. 2 illus.
ISBN-13: 9781852334253
ISBN-10: 1852334258
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Robertson, E F.
Blyth, T. S.
Hersteller: Springer London
Springer-Verlag London Ltd.
Springer Undergraduate Mathematics Series
Maße: 235 x 178 x 14 mm
Von/Mit: E F. Robertson (u. a.)
Erscheinungsdatum: 05.10.2001
Gewicht: 0,432 kg
Artikel-ID: 104422058
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