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 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.

�ber die Autorin bzw. den Autor

Ramin Takloo-Bighash is a Professor of Mathematics at the University of Illinois at Chicago, where his research is centered on Diophantine geometry and automorphic forms. His enthusiasm for research inspires his teaching at all levels.

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

Anbieterinformationen

We sell textbooks to students at very affordable prices. All books are brand new, satisfaction guaranteed.

Zur Homepage des Verk�ufers

Unternehmensdaten des Verk�ufers

Romtrade Corp.
39137 BYERS DR., STERLING HEIGHTS, MI, 48310, U.S.A.

Gesch�ftsbedingungen und Versandinformationen

Verkaufsbedingungen

We guarantee the condition of every book as it's described on the Abebooks web
sites. If you're dissatisfied with your purchase (Incorrect Book/Not as
Described/Damaged) or if the order hasn't arrived, you're eligible for a refund
within 30 days of the estimated delivery date. If you've changed your mind about
a book that you've ordered, please use the Ask bookseller a question link to
contact us and we'll respond within 2 business days. The contact persons name is
Constantin Marandici and the m...

Mehr Information

Versandbedingungen

Orders usually ship within 2 business days. Shipping costs are based on books weighing 2.2 LB, or 1 KG. If your book order is heavy or oversized, we may contact you to let you know extra shipping is required. We use USPS, DHL and ARAMEX for shipping.