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A Pythagorean Introduction to Number Theory: Right Triangles, Sums of Squares, and Arithmetic
Paperback
Series: Undergraduate Texts in Mathematics
ISBN13: 9783030805296
Publisher: Springer
Published: Jul 24 2021
Pages: 279
Weight: 0.93
Height: 0.63 Width: 6.14 Depth: 9.21
Language: English
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.
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 process that continues to advance the field today. Experience writing proofs is the only formal prerequisite for the book, while a background in basic real analysis will enrich the reader's appreciation of the final chapters.
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