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Calculus Set Free: Infinitesimals to the Rescue is a single-variable calculus textbook that incorporates the use of infinitesimal methods. The procedures used throughout make many of the calculations simpler and the concepts clearer for undergraduate students, heightening success and easing a significant burden of entry into STEM disciplines. This text features a student-friendly exposition with ample marginal notes, examples, illustrations, and more. The exercises include a wide range of difficulty levels, stretching from very simple "rapid response" questions to the occasional exercise meant to test knowledge. While some exercises require the use of technology to work through, none are dependent on any specific software. The answers to odd-numbered exercises in the back of the book include both simplified and non-simplified answers, hints, or alternative answers. Throughout the text, notes in the margins include comments meant to supplement understanding, sometimes including line-by-line commentary for worked examples. Without sacrificing academic rigor, Calculus Set Free offers an engaging style that helps students to solidify their understanding on difficult theoretical calculus.
This book investigates whether the integration of infinitesimal methods into single-variable calculus can simplify complex calculations and improve conceptual clarity for undergraduate students. Author C. Bryan Dawson utilizes his pedagogical experience to present a framework that prioritizes student accessibility without compromising academic rigor. By reintroducing infinitesimal techniques, the text aims to lower the barrier to entry for students pursuing STEM disciplines.
What You Will Find
Scope Limits
Educators and students frequently highlight the text's clear exposition and the utility of its marginal commentary for self-study. Experts note that the book serves as a practical alternative to standard limit-based approaches for students seeking a more intuitive grasp of calculus fundamentals.
Page Count:
704
Publication Date:
2021-01-01
Publisher:
OUP Oxford
ISBN-10:
0192649515
ISBN-13:
9780192649515
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