Difference between revisions of "Calculus (Book)"

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| 11.16 || Exercises || 443
| 11.16 || Exercises || 443
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! colspan="3" | Chapter 14: Mappings
! colspan="3" | 12. VECTOR ALGEBRA
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| 1 || Definition || 345
| 12.1 || Historical introduction || 445
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| 2 || Formalism of mappings || 351
| 12.2 || The vector space of n-tuples of real numbers || 446
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| 3 || Permutations || 359
| 12.3 || Geometric interpretation for \(n \leq 3\) || 448
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! colspan="3" | Chapter 15: Complex Numbers
| 12.4 || Exercises || 450
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| 1 || The complex plane || 375
| 12.5 || The dot product || 451
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| 2 || Polar form || 380
| 12.6 || Length or norm of a vector|| 453
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| 12.7 || Orthogonality of vectors || 455
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| 12.8 || Exercises || 456
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| 12.9 || Projections. Angle between vectors in n-space || 457
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| 12.10 || The unit coordinate vectors || 458
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| 12.11 || Exercises || 460
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| 12.12 || The linear span of a finite set of vectors || 462
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| 12.13 || Linear independence || 463
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| 12.14 || Bases || 466
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| 12.15 || Exercises || 467
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| 12.16 || The vector space \(V_N(C)\) of n-tuples of complex numbers || 468
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| 12.17 || Exercises || 470
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! colspan="3" | 13. APPLICATIONS OF VECTOR ALGEBRA TO ANALYTIC GEOMETRY
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| 1 || Introduction || 471
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| 2 || Lines in n-space || 472
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! colspan="3" | Chapter 16: Induction and Summations
! colspan="3" | Chapter 16: Induction and Summations