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本書では微積分の基礎、２変数関数の偏微分程度と、２行２列、３行３列の行列の計算等の線形代数の基礎を、おおむね習得した学生を対象に、２次元の平面や３次元の空間内の曲線や曲面の表示の方法、曲線や曲面上の積分、２次元平面、３次元空間上のベクトル場について解説する。
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