A problem-led route into undergraduate mathematics
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A problem-led route into undergraduate mathematics
Based on a course taught to gifted high school students at the Technion, this 148-page introduction uses challenging problems to connect accessible starting points with ideas from undergraduate mathematics. Its scope ranges from number theory and set theory to group and matrix theory, with applications to cryptography and search engines. The problem-based structure makes the book’s range its defining feature: readers encounter several areas of mathematics through active problem solving rather than a single subject developed in isolation.
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The book is based on lecture notes of a course "from elementary number theory to an introduction to matrix theory" given at the Technion to gifted high school students. It is problem based, and covers topics in undergraduate mathematics that can be introduced in high school through solving challenging problems. These topics include Number theory, Set Theory, Group Theory, Matrix Theory, and applications to cryptography and search engines.
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