Concepts of Modern Mathematics 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 j
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, studSome 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, students, and parents Since then, the negative aspects of new math have been eliminated and its positive elements assimilated into classroom instruction.In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts underlying new math groups, sets, subsets, topology, Boolean algebra, and According to Professor Stewart, an understanding of these concepts offers the best route to grasping the true nature of mathematics, in particular the power, beauty, and utility of pure mathematics No advanced mathematical background is needed a smattering of algebra, geometry, and trigonometry is helpful to follow the author s lucid and thought provoking discussions of such topics as functions, symmetry, axiomatics, counting, topology, hyperspace, linear algebra, real analysis, probability, computers, applications of modern mathematics, and much .By the time readers have finished this book, they ll have a much clearer grasp of how modern mathematicians look at figures, functions, and formulas and how a firm grasp of the ideas underlying new math leads toward a genuine comprehension of the nature of mathematics itself.

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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 nonmathematici [...]
Wow! a magnificent book written by Ian Stewarte explanation of concepts and the fluency in the book in amazing. a very interesting book that makes you engage with the concepts. it's a great choice for a start on modern mathematicsad it plenty times. and probably gonna read plenty more times too. totally advice everyone who is interested in the subject to read it.
This book is the most elegant book I read in mathematics. It's more fun than reading any novel or story. The amazing Ian Stewart talent in conveying the importance of modern mathematics is just unique. The book is more like a story to me, you can read it all along without interruption. The author sends you to another world which to me is like the Wonderland of Alice. The book starts with set theory and goes through, analytic geometry, abstract algebra, group theory, topology, and probability.The [...]
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 it [...]
Have you ever wondered what you would learn if you learned mathematics that you didn't need to know? Like, what if you wanted to become a mathematician: what would you be thinking about? I ended up learning a bit of discrete mathematics and some calculus for computer science, but I'd always wondered what I could have studied if I'd kept taking math courses. This book was an overview of some of these topics. Groups, rings, analysis, abstract algebra… that stuff is all talked about in here. Not [...]
Quick tour de force into the subject, although with some reverence for the topology. Proofs could be too intuitive sometimes or lack some steps, but the main idea is to show the mathematics as science of patterns and concepts and explain unity and meaning of its concepts, which is fulfilled on whole 100%. The interesting thing was author's scepticism regarding computerassisted proofs as too complex and not intuitive, however Stewart has left space for maneuver, telling that maybe the problem is [...]
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.
it is the modern math. book and it is boring. ;)
Finallyyyyyyyyy!I struggled until finishing this book, and don't ask me why but I can't not finish a book!At the beginning the book started going easy and everything (almost) was comprehensible. Later on, some chapters went crazy while I pretended that I'm following the material. I found myself indulging more in number problems so I skimmed through (ditched) topology and similar topics. But at the end I was relieved by this sentence in the last section written by the author: "It has always seeme [...]
"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, AppendixThat about sums it up. This book was incredibly easy to read, and despite being written more than 31 years ago, it's still r [...]
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, [...]
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.
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.
The book gives a big picture (although somewhat skewed towards topology) view of modern math. I would say it should be a light read for most undergraduate students, especially those who are interested in science and engineering.
This was an excellent book. I already knew a bit about set theory and some of the other topics, but this book gave me a much better understanding of how it all fits together. It gave me a great foundation of modern mathematics going into my first year of university. Ian Stewart is a great writer.
great intro for me to a wide range of mathematics. a huge boost up. great translation from hardcore math land to non mathematicians. a good balance between oversimplifying one the one hand and overwhelm with symbols on the other.
Great explanation of how one should think to understand modern mathematical theoriesvery different from ways I was taught in any schooling.
Wouldn't help much if you didn't already know math.
While the book touched on multiple areas there was not nearly enough depth. That may have been the purpose though.
Cohesion of past readingAlright definitely the book your looking for if you need a conceptual framework of mathok ok ok ok ok ok
Wonderful reading, disastrous (kindle) edition.
Terrific read. Prof. Stewart knows how to talk about mathematics. The breadth of this book was amazing.
A bit difficult to understand for anyone not yet familiar with its concepts.
The most charming book :)
A good review of modern math. Could've used some more rigor though.