On the Development of Mathematics of Science and Engineering Systems, Through Mathematics in the Nineteenth Century : Mainly in Applied Mathematics

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  • 19世紀の数学を通して見る理工系数学の発展について : 応用数学で扱われる数学を主として
  • 19セイキ ノ スウガク オ トオシテ ミル リコウケイ スウガク ノ ハッテン ニ ツイテ オウヨウ スウガク デ アツカワレル スウガク オ シュトシテ

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The contents studied in Applied Mathematics are Vector Analysis, Complex Function, Laplace Transformation, Fourier Series and Fourier Transformation. These fields began or developed in the 19^<th> century. It is known that science developed in the 19^<th> century, and mathematics developed similarly. 19^<th> century mathematics was not handled in the lecture of History of Mathematics, so the author discusses 19^<th> century mathematics in concern with physics in this article. In the 4^<th> chapter, a detailed chronology was made by the author. The author expects that this article will become a reference for teachers who teach Applied Mathematics.

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