Kendall C. Richards & John D. Ross 
Introductory Analysis [PDF ebook] 
An Inquiry Approach

Introductory Analysis: An Inquiry Approach aims to provide a self-contained, inquiry-oriented approach to undergraduate-level real analysis.

The presentation of the material in the book is intended to be ‘inquiry-oriented”’ in that as each major topic is discussed, details of the proofs are left to the student in a way that encourages an active approach to learning. The book is ‘self-contained’ in two major ways: it includes scaffolding (i.e., brief guiding prompts marked as Key Steps in the Proof) for many of the theorems. Second, it includes preliminary material that introduces students to the fundamental framework of logical reasoning and proof-writing techniques. Students will be able to use the guiding prompts (and refer to the preliminary work) to develop their proof-writing skills.

Features

• Structured in such a way that approximately one week of class can be devoted to each chapter
• Suitable as a primary text for undergraduates, or as a supplementary text for some postgraduate courses
• Strikes a unique balance between enquiry-based learning and more traditional approaches to teaching