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VIII. Appendiks – 1. Polære koordinater og komplekse tal 516 1.27. Kvadratrod på polarform ☞ [S] Appendix I Complex numbers Figur - kvadratrod Im i 1 2 1.28. Rod på polarform ☞ [S] Appendix I Complex numbers Eksempel 7 Find 6-te rødder af −8. Løsning z = 8(cos π + isin π) √ z z Re
VIII. Appendiks – 1. Polære koordinater og komplekse tal 517 så hvor k = 0,1,...,5. For eksempel wk = 8 1/6 cos w0 = √ 2 cos π + 2kπ π + 2kπ + isin 6 6 π + isin 6 π = 6 √ √ 3 1 2 + 2 2 i 1.29. Algebraens fundamentalsætning ☞ [S] Appendix I Complex numbers Eksempel Sætningen om rødder giver, at ligningen x n − z = 0 har n rødder w0,w1,...,wn−1. Sætning - Algebraens fundamentalsætning Enhver polynomiumsligning af grad mindst én har en rod i de komplekse tal. anx n + an−1x n−1 + · · · + a1x + a0 = 0 Algebraens fundamentalsætning blev vist af Gauss. 1.30. Kompleks eksponentialfunktion ☞ [S] Appendix I Complex numbers Definition
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CALCULUS "SLIDES" TIL CALCULUS 1 +
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3. Generelle områder 201 4. Koordi
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Forord "Slides" til forelæsningern
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I. Differentiation - 1. Kontinuitet
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1. Grafiske/numeriske metoder IV Di
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1. Vektorer og matricer V Matricer
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V. Matricer - 4. Determinanter = (
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Litteratur • Arnold, Ordinary dif
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