Pythagorean Introduction to Number Theory : Right Triangles, Sums of Squares,...

Description: Pythagorean Introduction to Number Theory : Right Triangles, Sums of Squares, and Arithmetic, Paperback by Takloo-bighash, Ramin, ISBN 3030805298, ISBN-13 9783030805296, Like New Used, Free shipping in the US

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 of which 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 process that continues to advance the field today. Experience writing proofs is the only formal prerequisite for th, while a background in basic real analysis will enrich the reader’s appreciation of the final chapters.

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Book Title: Pythagorean Introduction to Number Theory : Right Triangles, Sums

Number of Pages: Xviii, 279 Pages

Publication Name: Pythagorean Introduction to Number Theory : Right Triangles, Sums of Squares, and Arithmetic

Language: English

Publisher: Springer International Publishing A&G

Subject: Number Theory

Publication Year: 2021

Type: Textbook

Item Weight: 16.3 Oz

Item Length: 9.3 in

Subject Area: Mathematics

Author: Ramin Takloo-Bighash

Item Width: 6.1 in

Series: Undergraduate Texts in Mathematics Ser.

Format: Trade Paperback