"There are many textbooks available for a so-called transition course from calculus to abstract mathematics. I have taught this course several times and always find it problematic. The Foundations of Mathematics (Stewart and Tall) is a horse of a different color. The writing is excellent and there is actually some useful mathematics. I definitely like this book."--The Bulletin of Mathematics Books
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About the Author
Ian Stewart is Professor of Mathematics at Warwick University, and Director of the Mathematics Awareness Centre at Warwick. An active research mathematician, he is also a well-known popularizer of mathematics and related areas of science.
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Most Helpful Customer Reviews
2 of 2 people found the following review helpful:
4.0 out of 5 stars
Excellent Book for the High School Mathsters,
By Charles Saunders (Tallahassee, FL United States) - See all my reviews
This review is from: The Foundations of Mathematics (Paperback)
This book was written for those inquisitive/advanced high school students (6th formers in England) to give them an introduction to the number systems, formalization in mathematics and the concept of proof. Stewart is well-known for his clear writing and this book is an excellent example.
3 of 4 people found the following review helpful:
4.0 out of 5 stars
Comprehensive and clear,
By
This review is from: The Foundations of Mathematics (Paperback)
Stewart and Tall have written some excellent mathematical texts, and this book is one of them. It deals with the basics of mathematics and treats them in a clear but thorough way. Although it is probably not essential, it is a good accompaniment to anybody starting a mathematics degree.
They take the approach that one should already be familiar with an idea (via examples) before seeing its definition. This works well, although sometimes the effect is that the pace is slow and the exposition is drawn out.
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Inside This Book
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First Sentence:
MATHEMATICS is not an activity performed by a computer in a vacuum. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
contextual technique, complete ordered field, ordered ring, subring isomorphic, order isomorphic, order isomorphism, two binary operations New!
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Front Cover | First Pages | Index | Back Cover | Surprise Me!
MATHEMATICS is not an activity performed by a computer in a vacuum. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
contextual technique, complete ordered field, ordered ring, subring isomorphic, order isomorphic, order isomorphism, two binary operations New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
42
books
cite this book:
See all 42 books citing this book
- Chaos and Order: Complex Dynamics in Literature and Science (New Practices of Inquiry) by N. Katherine Hayles on page 148
- PI in the Sky: Counting, Thinking, and Being by John D. Barrow in Back Matter
- What Is Mathematics? An Elementary Approach to Ideas and Methods by Richard Courant in Back Matter
- Algebra Through Practice: Volume 1, Sets, Relations and Mappings: A Collection of Problems in Algebra with Solutions (Algebra Thru Practice) by T. S. Blyth in Front Matter
- Mission To Abisko: Stories and Myths In The Creation of Scientific "Truth" by John L. Casti on page 172
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