|
|
|||
|
||||
OverviewAn Introduction to Proof via Inquiry-Based Learning is a textbook for the transition to proof course for mathematics majors. Designed to promote active learning through inquiry, the book features a highly structured set of leading questions and explorations. The reader is expected to construct their own understanding by engaging with the material. The content ranges over topics traditionally included in transitions courses: logic, set theory including cardinality, the topology of the real line, a bit of number theory, and more. The exposition guides and mentors the reader through an adventure in mathematical discovery, requiring them to solve problems, conjecture, experiment, explore, create, and communicate. Ultimately, this is really a book about productive struggle and learning how to learn. This is a print version of the popular open-access online text by Dana C. Ernst. Full Product DetailsAuthor: Dana C. ErnstPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.333kg ISBN: 9781470463335ISBN 10: 1470463334 Pages: 169 Publication Date: 30 June 2022 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsIntroduction Mathematics and logic Set theory Induction The real numbers Three famous theorems Relations and partitions Functions Cardinality Elements for syle for proofs Fancy mathematical terms Paradoxes Defintions in mathematicsReviewsAuthor InformationDana C. Ernst, Northern Arizona University, Flagstaff, AZ. Tab Content 6Author Website:Countries AvailableAll regions |