Explorations in Analysis, Topology, and Dynamics: An Introduction to Abstract Mathematics - Couverture souple

Uribe, Alejandro A.; Visscher, Daniel A.

 
9781470452704: Explorations in Analysis, Topology, and Dynamics: An Introduction to Abstract Mathematics
Couverture souple
ISBN 10 : 1470452707 ISBN 13 : 9781470452704
Editeur : American Mathematical Society, 2020

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Alejandro Uribe A., University of Michigan

Ann Arbor, MI, USA

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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2020
Langue
anglais
ISBN 10 
1470452707
ISBN 13 
9781470452704
Reliure
Broché
Nombre de pages
182
Coordonnées du fabricant
non disponible
Personne responsable
non disponible