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An Introduction to Proof Via Inquiry-Based Learning: (AMS/MAA Textbooks)

An Introduction to Proof Via Inquiry-Based Learning: (AMS/MAA Textbooks)

          
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About the Book

An 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.

Table of Contents:
Introduction 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 mathematics


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Product Details
  • ISBN-13: 9781470463335
  • Publisher: American Mathematical Society
  • Publisher Imprint: American Mathematical Society
  • Height: 229 mm
  • No of Pages: 169
  • Spine Width: 15 mm
  • Width: 152 mm
  • ISBN-10: 1470463334
  • Publisher Date: 30 Jun 2022
  • Binding: Paperback
  • Language: English
  • Series Title: AMS/MAA Textbooks
  • Weight: 333 gr


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