IMU-06 Complex

Transcript

1. pineapple.cc ௕࡚େֶ৘ใσʔλՊֶ෦ େֶ਺ֶೖ໳
    Introduction to University Mathematics
2. pineapple.cc ߨٛͷਐΊํʢୈճʙୈճʣ Agenda (Day 2 to Day 8) w େֶ਺ֶ΁ͷೖ໳
   Introduction to University Mathematics ⭐⭐
   w ਺ֶΛ޷͖ʹͳΔ࿩
   Stories about math that makes you fun ⭐
   w ܭࢉػՊֶʢ৘ใՊֶʣ΁ͷڮ౉͠
   A bridge to computer science ⭐⭐⭐
3. pineapple.cc ධՁ Credits w ग़੮
   Attendance
   w ΫΠζͱϛχϨϙʔτ
   Quiz and mini report
   w Ϩϙʔτʢ೚ҙʣ
   Report (optional)
4. pineapple.cc ෳૉ਺
   complex
5. pineapple.cc x − 1 = 0
6. pineapple.cc x = 1
7. pineapple.cc x + 1 = 0
8. pineapple.cc x = − 1
10. pineapple.cc x2 − 1 = 0
11. pineapple.cc x = ± 1
12. pineapple.cc x2 + 1 = 0
13. pineapple.cc x = ± −1
14. pineapple.cc i2 ≡ − 1
15. pineapple.cc (x1 + iy1) + (x2 + iyr) = (x1 + x2) + i (y1 + y2) (x1 + iy1) (x2 + iy2) = (x1 x2 − y1 y2) + i (x1 y2 + x2 y1)
16. pineapple.cc z1 + z2 = z3 , (z1 , z2 , z3 ∈ ℤ) z1 z2 = z3 , (z1 , z2 , z3 ∈ ℤ) (z1 + z2) + z3 = z1 + (z2 + z3) (z1 z2) z3 = z1 (z2 z3) 0 + z = z + 0 = z 1z = z1 = z
17. pineapple.cc z*z = x2 + y2 where z = x + iy, z* = x − iy
18. pineapple.cc −z + z = 0 ( z* z*z) z = 1
28. pineapple.cc
29. pineapple.cc ௒ෳૉ਺
    hyper complex
30. pineapple.cc z = x + iy, where i2 = − 1 q = s + iu + jv + kw where i2 = j2 = k2 = − 1, ijk = − 1, ij = k, jk = i, ki = j, ji = − k, kj = − i, ik = − j
31. pineapple.cc q = ( s + ti u + vi −u + vi s − ti ) = s ( 1 0 0 1) + t ( i 0 0 −i) + u ( 0 1 −1 0) + v ( 0 i i 0)
34. pineapple.cc @kanaya