Paradoxes and Sophisms in Calculus
Paradoxes and Sophisms in Calculus
In the study of mathematics, surprising and counterintuitive examples can offer a fascinating insight into the development of the subject, and inspire a learner's passion for discovery. With a carefully chosen selection of so-called paradoxes and sophisms, this book offers a delightful supplementary resource to enhance the study of single variable calculus. By paradox, the authors mean an unexpected statement that looks invalid, but is in fact true. The word sophism describes intentionally invalid reasoning that looks formally correct, but, in fact, contains a subtle mistake or flaw. This collection of over fifty paradoxes and sophisms showcases the subtleties of calculus and leads students to contemplate the underlying concepts. Sophisms and paradoxes from the areas of functions, limits, derivatives, integrals, sequences and series are explored, with full explanations provided for each example. The book is an ideal resource for those studying or teaching calculus at high school and university level.
- Will enhance any course on introductory calculus
- A useful reference for both students and instructors at high school and university level
- Showcases the subtleties of calculus, and motivates students to consider the underlying concepts
Product details
No date availablePaperback
9780883857816
110 pages
228 × 153 × 6 mm
0.17kg
43 b/w illus.
Table of Contents
- Introduction
- Part I. Paradoxes:
- 1. Functions and limits
- 2. Derivatives and integrals
- Part II. Sophisms:
- 3. Functions and limits
- 4. Derivatives and integrals
- Part III. Solutions to Paradoxes:
- 5. Functions and limits
- 6. Derivatives and integrals
- Part IV. Solutions to Sophisms:
- 7. Functions and limits
- 8. Derivatives and integrals
- References.
