An Engineering Approach to Linear Algebra

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Sprache: Englisch

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Beschreibung

The book is full of physical analogies and contains many worked and unworked examples, integrated with the text.

Inhaltsverzeichnis

Preface; 1. Mathematics and engineers; 2. Mappings; 3. The nature of generalisation; 4. Symbolic conditions for linearity; 5. Graphical representation; 6. Vectors in a plane; 7. Bases; 8. Calculations in a vector space; 9. Change of axes; 10. Specification of a linear mapping; 11. Transformations; 12. Choice of basis; 13. Complex numbers; 14. Calculations with complex numbers; 15. Complex numbers and trigonometry; 16. Trigonometry and exponentials; 17. Complex numbers: terminology; 19. The logic of complex numbers; 20. The algebra of transformations; 21. Subtraction of transformations' 22. Matrix notation; 23. An application of matrix multiplication; 24. An application of linearity; 25. procedure for finding invariant lines, eigenvectors and eigenvalues; 26. Determinant and inverse; 27. Properties of determinants; 28. Matrices other than square; partitions; 29. Subscript and summation notation; 30. Row and column vectors; 31. Affine and Euclidean geometry; 32. Scalar products; 33. Transpose; quadratic forms; 34. Maximum and minimum principles; 35. Formal laws of matrix algebra; 36. Orthogonal transformations; 37. Finding the simplest expressions for quadratic forms; 38. Principal axes and eigenvectors; 39. Lines, planes and subspaces; vector product; 40. Null space, column space, row space of a matrix; 42. Illustrating the importance of orthogonal matrices; 43. Linear programming; 44. Linear programming, continued; Answers; Index.

Erscheinungsjahr:	2008
Fachbereich:	Arithmetik & Algebra
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
ISBN-13:	9780521093330
ISBN-10:	0521093333
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Sawyer, W. W. W. W., Sawyer
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	246 x 189 x 18 mm
Von/Mit:	W. W. Sawyer (u. a.)
Erscheinungsdatum:	31.08.2008
Gewicht:	0,614 kg