Explorations in Analysis, Topology, and Dynamics by Alejandro A Uribe

Explorations in Analysis, Topology, and Dynamics by Alejandro A Uribe

This book is an introduction to the theory of calculus in the style of inquiry-based learning. The text guides students through the process of making mathematical ideas rigorous, from investigations and problems to definitions and proofs. The format allows for various levels of rigour as negotiated between instructor and students, and the text can be of use in a theoretically oriented calculus course or an analysis course that develops rigor gradually. Material on topology (e.g. of higher dimensional Euclidean spaces) and discrete dynamical systems can be used as excursions within a study of analysis or as a more central component of a course. The themes of bisection, iteration, and nested intervals form a common thread throughout the text. The book is intended for students who have studied some calculus and want to gain a deeper understanding of the subject through an inquiry-based approach.

Alejandro Uribe A., University of Michigan

Ann Arbor, MI, USA

Daniel A. Visscher, Ithaca College, NY, USA.

SKU	Nicht verfügbar
ISBN 13	9781470452704
ISBN 10	1470452707
Titel	Explorations in Analysis, Topology, and Dynamics
Autor	Alejandro A Uribe
Serie	Pure And Applied Undergraduate Texts
Buchzustand	Nicht verfügbar
Verlag	American Mathematical Society
Erscheinungsjahr	2020-07-30
Seitenanzahl	182
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar