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    벡터의 기초 및 심화과정

    9788925418476.jpg

    도서명:벡터의 기초 및 심화과정
    저자/출판사:최정호/교육과학사
    쪽수:72쪽
    출판일:2023-12-30
    ISBN:9788925418476

    목차
    제1부 벡터의 기초과정

    1. 벡터 정의 ····································································································7

    2. 벡터 연산 ····································································································7
    2.1. 벡터의 합 ································································································ 7
    2.2. 벡터의 뺄셈 ···························································································· 9
    2.3. 힘의 벡터 합(2D) ·················································································· 10

    3. 동일 평면에 작용하는 힘들의 합 (스칼라 표기법, 직교벡터 표기법) ········· 13
    3.1. 스칼라 표기법 ······················································································ 13
    3.2. 직교벡터 표기법 ··················································································· 14

    4. 직교벡터(3차원, 3D) ················································································16

    5. 위치벡터(r벡터) ························································································19

    6. 벡터의 내적 ······························································································21
    6.1. 직교성 / 수직성 ···················································································· 21
    6.2. Cauchy-Schwarz 부등식 ··································································· 22

    7. 벡터의 외적 ······························································································23

    8. 벡터의 종합정리 ·······················································································24
    8.1. 3차원 공간에서의 직선과 평면 ··························································· 24
    8.2. 벡터 공간 ······························································································ 28

    제2부 벡터의 심화과정

    9. 벡터 해석(기초과정) ·················································································33
    벡터 정리 ······································································································ 33

    10. 벡터 해석(고급과정) ···············································································41
    10.1. 벡터함수와 곡률 ················································································· 41
    10.2. 벡터장과 기울기장 ············································································· 48
    10.3. 선적분 ································································································· 53
    10.4. Green의 정리 ····················································································· 55
    10.5. 퍼텐셜 이론 / 경로의 독립성 ···························································· 56
    10.6. 접평면과 면적분 ················································································· 57
    10.7. Stokes 정리 ························································································ 61
    10.8. Gauss 발산 정리 / Stokes 적분 정리 ··············································· 65
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