This book is a readable introduction to linear algebra, starting at an elementary level. It is intended to be useful both for students of pure mathematics who may subsequently pursue more advanced study in this area and for students who require linear algebra and its applications in other subjects. Throughout, stress is placed on applications of the subject in preference to more theoretical aspects. The book has worked examples on every left-hand page concurrently with the text on the right-hand page, which allows the reader to follow the text uninterrupted. The book is intended to be worked through and learned from, and contains numerous exercises with solutions.
Rezensionen / Stimmen
'The book is clearly directed at students who have had little or no experience of solving linear equations at school. Moreover, it is intended for people who do not find learning mathematics easy. There are no short cuts, or bribes in the form of interesting applications, but the student who is motivated to learn about systems of linear equations, and willing to work through the exercises, will have an excellent opportunity to acquire proficiency and understanding.' The Times Higher Education Supplement
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Produkt-Hinweis
Maße
Höhe: 229 mm
Breite: 152 mm
Dicke: 20 mm
Gewicht
ISBN-13
978-0-521-31042-0 (9780521310420)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Preface; Part I: 1. Gaussian elimination; 2. Solutions to simultaneous equations I; 3. Matrices and algebraic vectors; 4. Special matrices; 5. Matrix inverses; 6. Linear independence and rank; 7. Determinants; 8. Solutions to simultaneous equations II; 9. Vectors in geometry; 10. Straight lines and planes; 11. Cross product; Part II: 12. Basic ideas; 13. Subspaces of Rn; 14. Spanning lists, bases, dimension; 15. Rank; 16. Linear transformations; 17. Change of basis; 18. Eigenvalues and eigenvectors; 19. Diagonalisation I; 20. The dot product; 21. Orthogonality; 22. Diagonalisation II; 23. Geometry; 24. Differential equations; Answers to exercises; Sample test paper for part I; Sample test paper for part II; Index.
