Introduction to analytic geometry and linear algebra / Arno Jaeger.
Editor: New York : Holt, Rinehart and Winston, c1960Descripción: xii, 305 p. ; 24 cmOtra clasificación: 51-XX | 15-XXPART I: FOUNDATIONS 1. Introduction [3] 2. On Elementary Set Theory [7] Exercises, [21] 3. Translations [23] Exercises, [33] 4. Composition Laws and Groups [35] Exercises, [43] 5. Vector Spaces [46] Exercises, [57] 6. The Idea of Analytic Geometry [61] Exercises, [71] 7. Lines and Planes [75] Exercises, [85] PART II: LINEAR GEOMETRY AND ALGEBRA 8. Linear Systems [91] Exercises, [101] 9. Dimensions and Bases of a Vector Space [105] Exercises, [111] 10. On Positive Solutions of Systems of Linear Equations [114] Exercises, [127] 11. On Linear Programming [129] Exercises, [140] • 12. The Calculus of Matrices [141] Exercises, [154] 13. Special Matrices [160] Exercises, [170] 14. Linear Mappings [173] Exercises, [180] PART III: MULTILINEAR GEOMETRY AND ALGEBRA 15. Length and Angle [185] Exercises, [193] 16. Euclidean and Unitary Vector Spaces [195] Exercises, [201] • 17. A Recursive Definition of the Determinant [203] Exercises, [209] • 18. Basic Properties of a Determinant [211] Exercises, [218] 19. Orientation, Area, Volume, Vector Product [223] Exercises, [235] PART IV: QUADRATIC GEOMETRY AND ALGEBRA • 20. Circles and Spheres [239] Exercises, [247] 21. The Classical Conic Sections [250] Exercises, [262] 22. Reduction of Quadratic Polynomials [264] Exercises, [274] 23. Classification of Conics and Quadrics [276] Exercises, [285] Appendix: Comments on the Axiomatic Treatment of Analytic Geometry [287] Guide to Further Reading [291] Index of Examples [293] Index of Symbols [295] Index of Terms [299]
| Item type | Home library | Shelving location | Call number | Materials specified | Status | Date due | Barcode | Course reserves |
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 51 J22 (Browse shelf) | Available | A-1188 |
PART I: FOUNDATIONS --
1. Introduction [3] --
2. On Elementary Set Theory [7] --
Exercises, [21] --
3. Translations [23] --
Exercises, [33] --
4. Composition Laws and Groups [35] --
Exercises, [43] --
5. Vector Spaces [46] --
Exercises, [57] --
6. The Idea of Analytic Geometry [61] --
Exercises, [71] --
7. Lines and Planes [75] --
Exercises, [85] --
PART II: LINEAR GEOMETRY AND ALGEBRA --
8. Linear Systems [91] --
Exercises, [101] --
9. Dimensions and Bases of a Vector Space [105] --
Exercises, [111] --
10. On Positive Solutions of Systems of Linear Equations [114] --
Exercises, [127] --
11. On Linear Programming [129] --
Exercises, [140] --
• 12. The Calculus of Matrices [141] --
Exercises, [154] --
13. Special Matrices [160] --
Exercises, [170] --
14. Linear Mappings [173] --
Exercises, [180] --
PART III: MULTILINEAR GEOMETRY AND ALGEBRA --
15. Length and Angle [185] --
Exercises, [193] --
16. Euclidean and Unitary Vector Spaces [195] --
Exercises, [201] --
• 17. A Recursive Definition of the Determinant [203] --
Exercises, [209] --
• 18. Basic Properties of a Determinant [211] --
Exercises, [218] --
19. Orientation, Area, Volume, Vector Product [223] --
Exercises, [235] --
PART IV: QUADRATIC GEOMETRY AND ALGEBRA --
• 20. Circles and Spheres [239] --
Exercises, [247] --
21. The Classical Conic Sections [250] --
Exercises, [262] --
22. Reduction of Quadratic Polynomials [264] --
Exercises, [274] --
23. Classification of Conics and Quadrics [276] --
Exercises, [285] --
Appendix: Comments on the Axiomatic Treatment of --
Analytic Geometry [287] --
Guide to Further Reading [291] --
Index of Examples [293] --
Index of Symbols [295] --
Index of Terms [299] --
MR, 22 #8394
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