- Hardcover: 784 pages
- Publisher: John Wiley & Sons; 2 edition (22 Oct. 2008)
- Language: English
- ISBN-10: 0470412879
- ISBN-13: 978-0470412879
- Product Dimensions: 19.2 x 3.5 x 23.8 cm
- Average Customer Review: 5.0 out of 5 stars See all reviews (4 customer reviews)
- Amazon Bestsellers Rank: 3,076,882 in Books (See Top 100 in Books)
- See Complete Table of Contents
The Heart of Mathematics: An Invitation to Effective Thinking (Key Curriculum Press) Hardcover – 22 Oct 2008
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From the reviews of the second edition: "In this book, the reader will see that mathematics is a network of intriguing ideas a ] . It is a really nice book. a ] This attractive book contains a lot of well-known and interesting problems a ] . It is really true that the ideas presented in this book are some of the most fascinating and beautiful ones around. a ] The reader will have something to explore, to learn, to think, to enjoy, and to add new aspects to his view of everything." (Valentina DagienA, Zentralblatt MATH, Vol. 1065, 2005)
Top Customer Reviews
I am not sure that I would have paid the new price, but the used copy that I purchased was much cheaper and in very good condition.
I have only had the book for few weeks, but have already used a number of the tasks in my lessons (KS3 and 4). It has worked particularly well with getting some of the lowest ability students motivated and interested. They recently came to a lesson armed with problems that they had researched themselves to challenge me. This is a group that would normally be reluctant to do any work at all!
But... the book is an introduction to the methods of a professional mathematician, so the topics aren't algebra, trigonometry, calculus. Rather there are loads of interesting and challenging examples from knot theory, topology, chaos theory, equivalence classes, number theory, voting maths. Comes with 3D glasses, non transitive dice, CD-Rom etc.
Well worth the not-insubstantial price. Perhaps accompanied with the other expensive but excellent book Mathematics from the Birth Of Numbers, which is far more 'traditional' (lots of algebra, proof as well as history of maths).
Most Helpful Customer Reviews on Amazon.com (beta) (May include reviews from Early Reviewer Rewards Program)
If you think you hate mathematics, this is a good book for you. The explanations of seemingly-intimidating concepts are clear and there are lots of explanations of how you see these phenomena in the "real world."
Overall, I highly recommend this.
I am planning on using this text for an adult self ed study group this fall. The goal is not to try to prove Cantor's method. You explore it and gain some understanding, but it isn't a mastery course that you come out of passing a test for, unless you are sitting in a classroom designed with that in mind, and the larger audience for this book is not in that narrow context. If you come out of it learning how to think mathematically, learning different ways to approach solving problems, learning that there is fun, beauty, art, order and sense to math, if you begin to *see* math in the world you live in, in nature, in ways you never noticed before - that is the goal. It is also threaded with history and the human drama that created math.
Both negative reviews were so poorly written and clearly missed the point that I dismissed them, but others I've recommended the book to have been confused, so I felt the need to respond.
I have also watched the video/DVD series these two authors put out through the Teaching Company, the Joy of Thinking, and I love what they are doing. Is every lecture perfect and resonating with everybody? No, but most resonate with most people. It certainly opened my eyes to things I never understood. Much of this book covers the same type of material.
Some people will find it more interesting than others, that is the nature of personal preference certainly. But the negative feedback indicates the book is flawed based on specific use in college classroom context, and it appears the reviewers did not understand the purpose of the book.
The four vs. five stars reflects the fact this is a first ed and could be just little more user friendly for lay people vs. college course users. I look forward to seeing the 2nd edition.