Book Description Thirty-Three Miniatures on Applying Linear Algebra in Mathematics and Computer Science Author:[Affiliation] 2021 Pages: [Number] Матоушек И. пер. Френкин Б. Р. Summary: In this groundbreaking book, [Author Name] presents thirty-three miniatures on applying linear algebra in various fields of mathematics, primarily in combinatorics, geometry, and theory of algorithms. Each section is dedicated to one significant result, its motivation, and evidence, showcasing the witty applications of linear algebra in modern knowledge development. The book is designed to provide a comprehensive understanding of linear algebra, making it accessible to readers with some familiarity with the subject. It contains recognized mathematical pearls, such as Hamming codes, the matrix tree theorem, the Lovas boundary for Shannon capacity, and a counterexample to the Borsuk hypothesis. Additionally, it features lesser-known but equally remarkable results, including quick tests of associativity, Steinitz's lemma on ordering vectors, and the theorem on nongrowing integer partitions.

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