Concepts of Modern Mathematics
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Concepts of Modern Mathematics

3.76 of 5 stars 3.76  ·  rating details  ·  126 ratings  ·  14 reviews
Some years ago, "new math" took the country's classrooms by storm. Based on the abstract, general style of mathematical exposition favored by research mathematicians, its goal was to teach students not just to manipulate numbers and formulas, but to grasp the underlying mathematical concepts. The result, at least at first, was a great deal of confusion among teachers, stud...more
Paperback, 352 pages
Published February 1st 1995 by Dover Publications (first published 1975)
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This book should be required to be read by all math teachers in high school. Instead of neglecting to answer questions of "so how is this used in the real world". the teacher can now provide an adequate answer, with this reference text. The mathematics discussed in this text can be thought of high level, but you only need a high school knowledge to understand most of the chapters. There are no real theorems or proofs, but Stewart provides general concepts, which may enlighten the non-mathematici...more
Daniel Toker
I got this book because I'm frustrated with learning the "how to" of mathematics. For the most part, my mathematical education has been, "Do this. Then this. And that's all you need to know for the test." I never got too thorough an understanding of how some things work, why they work, who came up with them, etc. (No wonder I came into college wanting to be an English major...).

This book does a good job of demonstrating the fundamental notions that underly all branches of math. I would recommend...more
"The reader who has persevered this far must by now be a cultivator of mathematics, even if he was not at the start of the endeavour. He will therefore appreciate that, while it may be ancient and venerable, it is far from complete; that not all of it is dry; and that its reasoning has not always been either unambiguous or irrefutable - nor is it yet."
-Ian Stewart, Appendix

That about sums it up. This book was incredibly easy to read, and despite being written more than 31 years ago, it's still r...more
Maurizio Codogno
Ogni tanto sbaglio gli acquisti. Questo libro non è nient'altro che un testo scolastico su quella che è diventata di moda come la "nuova matematica". Quello non sarebbe stato poi chissà quale problema, se il testo fosse stato scritto nel modo brillante che mi aspetto da Ian Stewart; purtroppo però questa è probabilmente la sua prima opera - la prima edizione del libro è infatti del 1975 - e si sente che l'autore aveva sì delle potenzialità, ma non erano state ancora espresse. Alla fine, pertanto...more
Good general introduction to give you a feel for some diverse areas of modern mathematics. However, the explanations are glossed over too quickly and I found it very difficult to follow some of the details even with a mathematical background. Will still give you the broad ideas but for a more thorough and complete introduction to the topics, topic specific books will be needed.
The most charming book :)
Nick Black
Read back in high school just as I was getting into calculus (and beginning to think that a Comparative Literature degree might not, after all, be in my future). Gentle introductions to all kinds of things (vector calculus, topology, group theory etc) but lacking either the detail to make any real sense of them, or the historical data to bring them to life.
great intro for me to a wide range of mathematics. a huge boost up. great translation from hard-core math land to non mathematicians. a good balance between oversimplifying one the one hand and overwhelm with symbols on the other.
Sep 11, 2011 Erickson rated it 5 of 5 stars Recommends it for: Han Zhicheng
Shelves: mathematics
Very good, though does not seem like suitable for perfect beginners. This book in my view is more for those who has great interest in mathematics and have some grounds on it.
Great explanation of how one should think to understand modern mathematical theories--very different from ways I was taught in any schooling.
Andrew Thibodeau
While the book touched on multiple areas there was not nearly enough depth. That may have been the purpose though.
A good review of modern math. Could've used some more rigor though.
Jonathanstray Stray
Wouldn't help much if you didn't already know math.
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Ian Stewart is an Emeritus Professor and Digital Media Fellow in the Mathematics Department at Warwick University, with special responsibility for public awareness of mathematics and science. He is best known for his popular science writing on mathematical themes.
--from the author's website

Librarian Note: There is more than one author in the GoodReads database with this name. See other authors wit...more
More about Ian Stewart...
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