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atanasiu d linear algebra core topics second course 2023

Type:: E-books
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Size:: 7.5 MB
Uploaded On:: Aug. 1, 2023, 5:13 p.m.
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Textbook in PDF format This is a book for the second course in linear algebra whereby students are assumed to be familiar with calculations using real matrices. To facilitate a smooth transition into rigorous proofs, it combines abstract theory with matrix calculations. We present numerous examples and proofs of particular cases of important results before the general versions are formulated and proved. We noticed in many years of teaching that a proof of a particular case which captures the main idea of the general theorem has a major impact on the depth of understanding of the general theory. Reading simpler and more manageable proofs is also more likely to encourage students to work with proofs. Students can try to prove another particular case or the general case using the knowledge gained from the particular case. For some theorems we give two or even three proofs. In this way we give students an opportunity to see important results from diﬀerent angles and at the same time to see connections between diﬀerent results presented in the book

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Atanasiu D. Linear Algebra. Core Topics for the Second Course 2023.pdf 7.5 MB

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atanasiu d linear algebra core topics second course 2023

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