Concepts of Modern MathematicsSome 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. 
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Review: Concepts of Modern Mathematics
User Review  Daniel  GoodreadsGood 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 ... Read full review
Review: Concepts of Modern Mathematics
User Review  Leemaslibros  GoodreadsWonderful reading, disastrous (kindle) edition. Read full review
Contents
Mathematics in General  1 
Motion without Movement  8 
Short Cuts in the Higher Arithmetic  27 
The Language of Sets  43 
What is a Function?  63 
The Beginnings of Abstract Algebra  76 
The Group Concept  95 
Axiomatics  113 
Into Hyperspace  200 
Linear Algebra  215 
Real Analysis  229 
The Theory of Probability  244 
Computers and Their Uses  255 
Applications of Modern Mathematics  269 
Foundations  286 
Appendix  299 