Teaching Exploration of Fourier Series in Advanced Mathematics from the Perspective of Linear Algebra
This paper focuses on the teaching of advanced mathematics,specifically exploring and implementing the teaching of Fourier series from the perspective of linear algebra.Firstly,we ana-lyze some core concepts of linear algebra in detail and compare them with the principles of Fourier series to reveal the close relationship between the two.Then,we further explore how to effectively integrate this connection into higher mathematics teaching,aiming to help students better understand and grasp the essence of Fourier series.Through this teaching method,we hope to enhance students'mathematical literacy and lay a solid foundation for their subsequent learning and research.
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