Explorations in Analysis, Topology, and Dynamics: An Introduction to Abstract Mathematics (Pure and Applied Undergraduate Texts) - Softcover

Alejandro A. Uribe (author) & Daniel A. Visscher (author)

 
9781470452704: Explorations in Analysis, Topology, and Dynamics: An Introduction to Abstract Mathematics (Pure and Applied Undergraduate Texts)
Softcover
ISBN 10: 1470452707 ISBN 13: 9781470452704
Publisher: 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.

"synopsis" may belong to another edition of this title.

About the Author

Alejandro Uribe A., University of Michigan

Ann Arbor, MI, USA

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

"About this title" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
2020
Language
English
ISBN 10 
1470452707
ISBN 13 
9781470452704
Binding
Paperback
Number of pages
182