Differential Calculus in Several Variables: A Learning-by-Doing Approach

This book aims to engage the reader in a more dynamic process of learning by tracing back to Aristotle's Learning-by-Doing Approach. It is illustrated through relevant examples and exercises, with sets of practice questions after each theoretical concept. The exercises become more complex as the theory unfolds, with hints added to guide the reader.

Format: Paperback / softback
Length: 308 pages
Publication date: 06 February 2024
Publisher: Taylor & Francis Ltd

The aim of this book is to lead the reader out from the ordinary routine of computing and calculating by engaging in a more dynamic process of learning. This Learning-by-Doing Approach can be traced back to Aristotle, who wrote in his Nicomachean Ethics that “For the things we have to learn before we can do them, we learn by doing them”.

The theory is illustrated through many relevant examples, followed by a large number of exercises whose requirements are rendered by action verbs: find, show, verify, check and construct. Readers are compelled to analyze and organize analytical skills.

Rather than placing the exercises in bulk at the end of each chapter, sets of practice questions after each theoretical concept are included. The reader has the possibility to check their understanding, work on the new topics and gain confidence during the learning activity. As the theory unfolds, the exercises become more complex – sometimes they span over several topics. Hints have been added in order to guide the reader in the process.

This book stems from the Differential Calculus course which the author taught for many years. The goal of this book is to immerse the reader in the subtleties of Differential Calculus through an active perspective. Particular attention was paid to continuity and differentiability topics, presented in a new course of action.

Weight: 488g
Dimension: 156 x 233 x 21 (mm)
ISBN-13: 9781032582542