| 期刊全称 | A Pythagorean Introduction to Number Theory | | 期刊简称 | Right Triangles, Sum | | 影响因子2023 | Ramin Takloo-Bighash | | 视频video | | | 发行地址 | Offers an innovative approach to elementary number theory motivated by right triangles.Inspires students to explore number theory through investigation of concrete examples.Provides historical context | | 学科分类 | Undergraduate Texts in Mathematics | | 图书封面 |  | | 影响因子 | .Right triangles are at the heart of this textbook’s vibrant new approach to elementary number theory. Inspired by the familiar Pythagorean theorem, the author invites the reader to ask natural arithmetic questions about right triangles, then proceeds to develop the theory needed to respond. Throughout, students are encouraged to engage with the material by posing questions, working through exercises, using technology, and learning about the broader context in which ideas developed..Progressing from the fundamentals of number theory through to Gauss sums and quadratic reciprocity, the first part of this text presents an innovative first course in elementary number theory. The advanced topics that follow, such as counting lattice points and the four squares theorem, offer a variety of options for extension, or a higher-level course; the breadth and modularity of the later material is ideal for creating a senior capstone course. Numerous exercises are included throughout, many ofwhich are designed for SageMath...By involving students in the active process of inquiry and investigation, this textbook imbues the foundations of number theory with insights into the lively mathematical pro | | Pindex | Textbook 2018 |
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发表于 2025-3-21 18:49:40
