Ian Stewart, David Tall (Contributor)
The Foundations of Mathematics
- ISBN 13:
- 9780198706434
- author:
- Ian Stewart, David Tall (Contributor)
- format:
- Paperback
- publisher:
- Oxford University Press
- language:
- English
- Publication Year:
- 2015
- Pages:
- 412
- Dimensions:
- 21.3 x 2.5 x 13.7 cm
- Genre:
- Science & Nature, Mathematics, Education
- Condition:
- New
- Availability:
- Item usually sent within 4 working days
Description
The Foundations of Mathematics by Ian Stewart and David Orme Tall provides a clear explanation of the transition from school mathematics to university mathematics. The authors have extensive experience in teaching and researching, drawing on their knowledge to help students understand the motivation behind abstract foundational material. This second edition builds on the first, taking a significant step forward by exploring the visual and symbolic interpretations of formal systems through structure theorems. A new chapter on the theory of groups is included, as well as an extension of real numbers to larger ordered fields, linking intuitive ideas in calculus to formal methods. By using a graphically based treatment, the authors make the notion of an infinitesimal natural and straightforward, allowing for a deeper understanding of mathematical thinking and its applications.