Druck auf Anfrage Neuware - Printed after ordering - 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.

Bestandsnummer des Verk�ufers 9783030026035

Verk�ufer kontaktieren

Diesen Artikel melden

Bibliografische Details

Titel: A Pythagorean Introduction to Number Theory : Right Triangles, Sums of Squares, and Arithmetic
Verlag: Springer International Publishing, Springer Nature Switzerland
Erscheinungsjahr: 2018
Sprache: Englisch
ISBN-10: 3030026035
ISBN-13: 9783030026035
Einband: Buch
Zustand: Neu

�ber diesen Titel

Inhaltsangabe

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

Das Unternehmen AHA-BUCH GmbH: Seit der Gr�ndung von AHA-BUCH im Juli 2005 ist unser Hauptziel, zufriedenen Kunden so schnell und so preisg�nstig wie m�glich ihren B�cherwunsch zu erf�llen. Unsere Firma besch�ftigt 16 Mitarbeiter, die nur ein Ziel kennen: den Kunden und seine W�nsche! Auf �ber 3700 m2 Fl�che haben wir �ber 100.000 B�cher, Modernes Antiquariat und Spiele auf Lager.

Zur Homepage des Verk�ufers

Unternehmensdaten des Verk�ufers

AHA-BUCH GmbH
Garlebsen 48, Einbeck, 37574, Germany

Gesch�ftsbedingungen und Versandinformationen

Verkaufsbedingungen

Allgemeine Gesch�ftsbedingungen und Kundeninformationen / Datenschutzerkl�rung

I. Allgemeine Gesch�ftsbedingungen

� 1 Grundlegende Bestimmungen

(1) Die nachstehenden Gesch�ftsbedingungen gelten f�r alle Vertr�ge, die Sie mit uns als Anbieter (AHA-BUCH GmbH) �ber die Internetplattformen AbeBooks und/oder ZVAB schlie�en. Soweit nicht anders vereinbart, wird der Einbeziehung gegebenenfalls von Ihnen verwendeter eigener Bedingungen widersprochen.

(2) Verbraucher im Sinne der nachstehenden Regelungen...

Mehr Information

Versandbedingungen

Wir liefern Lagerartikel innerhalb von 24 Stunden nach Erhalt der Bestellung aus.
Barsortimentsartikel, die wir �ber Nacht geliefert bekommen, am darauffolgenden Werktag.
Unser Ziel ist es Ihnen die Artikel in der �konomischten und effizientesten Weise zu senden.

Impressum & Info zum Verk�ufer