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

Alejandro A. Uribe

ISBN 10: 1470452707 / ISBN 13: 9781470452704

Edité par American Mathematical Society Jul 2020, 2020

Neuware. N° de réf. du vendeur 9781470452704

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.

À propos de l?auteur: Alejandro Uribe A., University of Michigan

Ann Arbor, MI, USA

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

Détails bibliographiques

Titre : Explorations in Analysis, Topology, and ...
Éditeur : American Mathematical Society Jul 2020
Date d'édition : 2020
Reliure : Buch
Etat : Neu