Creative Mathematics
A Gateway to Research
Part of AIMS Library of Mathematical Sciences
- Author: Alan F. Beardon, University of Cambridge
- Date Published: March 2010
- availability: Available
- format: Paperback
- isbn: 9780521130592
Paperback
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How do mathematicians approach a problem, explore the possibilities, and develop an understanding of a whole area around it? The issue is not simply about obtaining 'the answer'; rather, Beardon explains that a mathematical problem is just one of many related ones that should be simultaneously investigated and discussed at various levels, and that understanding this is a crucial step in becoming a creative mathematician. The book begins with some good advice about procedure, presentation, and organisation that will benefit every mathematician, budding, teaching or practised. In the rest of the book, Beardon presents a series of simple problems, then, through discussion, consideration of special cases, computer experiments, and so on, the reader is taken through these same problems, but at an increasing level of sophistication and generality. Mathematics is rarely a closed book, and seemingly innocent problems, when examined and explored, can lead to results of significance.
Read more- Clear and useful guidance about presenting mathematics
- Explains how to develop from being good at mathematics at school to becoming a real mathematician
- Simple presentation, very few prerequisites, mathematics explained as book progresses
- Should be read by every mathematician, whether student or teacher
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×Product details
- Date Published: March 2010
- format: Paperback
- isbn: 9780521130592
- length: 122 pages
- dimensions: 215 x 142 x 10 mm
- weight: 0.16kg
- contains: 10 b/w illus.
- availability: Available
Table of Contents
Preface
Part I. Style and Presentation:
1. Solving problems
2. Writing mathematics
3. Giving a presentation
Part II. The Problems:
4. A first look at the problems
Part III. Solutions and More Problems
Part IV. Discussion and Generalisations
Index.Instructors have used or reviewed this title for the following courses
- Foundations of Advanced Mathematics
- Techniques of Mathematical Proof
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