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An Engineering Approach to Linear Algebra
Taschenbuch von W. W. Sawyer (u. a.)
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.
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.
Details
Erscheinungsjahr: 2008
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 316
ISBN-13: 9780521093330
ISBN-10: 0521093333
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Sawyer, W. W.
W. W., Sawyer
Hersteller: Cambridge University Press
Maße: 246 x 189 x 17 mm
Von/Mit: W. W. Sawyer (u. a.)
Erscheinungsdatum: 31.08.2008
Gewicht: 0,614 kg
preigu-id: 101716337
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.
Details
Erscheinungsjahr: 2008
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 316
ISBN-13: 9780521093330
ISBN-10: 0521093333
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Sawyer, W. W.
W. W., Sawyer
Hersteller: Cambridge University Press
Maße: 246 x 189 x 17 mm
Von/Mit: W. W. Sawyer (u. a.)
Erscheinungsdatum: 31.08.2008
Gewicht: 0,614 kg
preigu-id: 101716337
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