Transition to Proofs

转置到证明

数学史

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作      者
出  版 社
出版时间
2023年07月24日
装      帧
精装
ISBN
9789811272080
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页      码
376 pp
语      种
英文
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库存 100 本
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图书简介
This textbook is aimed at transitioning high-school students who have already developed proficiency in mathematical problem solving from numerical-answer problems to proof-based mathematics. It serves to guide students on how to write and understand mathematical proofs. It covers proof techniques that are commonly used in several areas of mathematics, especially number theory, combinatorics, and analysis. In addition to just teaching the mechanics of proofs, this book showcases key materials in these areas, thus introducing readers to interesting mathematics along with proof techniques.Key Features: oThis book not only focuses on the mechanics of proofs; it differs from others in the genre by introducing a large amount of interesting mathematics along the way to pique the interest of students who are already enthusiastic about mathematicsoHighlights include determining which numbers are sums of two squares, matching problems, and two constructions of the real numbersoThis book has been used by the author to teach high-school students every year since 2018, and several hundred students have taken the classes that go along with it, so it has been successfully tested in the classroom
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