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Dover Books on Mathematics Ser.: Concepts of Modern Mathematics by Ian Stewart (1995, Trade Paperback, Revised edition)

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About this product

Product Information

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, 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 more. 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 more. 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.

Product Identifiers

Publisher
Dover Publications, Incorporated
ISBN-10
0486284247
ISBN-13
9780486284248
eBay Product ID (ePID)
693159

Product Key Features

Author
Ian Stewart
Publication Name
concepts of Modern Mathematics
Format
Trade Paperback
Language
English
Educational Level
High School, Elementary School
Features
Revised
Subject
General, Essays
Series
Dover Books on Mathematics Ser.
Publication Year
1995
Type
Study Guide
Subject Area
Science, Mathematics
Number of Pages
352 Pages

Dimensions

Item Length
8.5 in
Item Height
0.7 in
Item Width
5.2 in
Item Weight
12.8 Oz

Additional Product Features

LCCN
94-039733
Lc Classification Number
Qa93.S73 1
Edition Description
Revised Edition
Table of Content
Preface to the Dover EditionPreface to the First Edition1. Mathematics in General2. Motion without Movement3. Short Cuts in the Higher Arithmetic4. The Language of Sets5. What is a Function?6. The Beginnings of Abstract Algebra7. Symmetry: The Group Concept8. Axiomatics9. Counting: Finite and Infinite10. Topology11. The Power of Indirect Thinking12. Topological Invariants13. Algebraic Topology14. Into Hyperspace15. Linear Algebra16. Real Analysis17. The Theory of Probability18. Computers and Their Uses19. Applications of Modern Mathematics20. FoundationsAppendixNotesGlossary of SymbolsIndex
Copyright Date
1995
Target Audience
Elementary/High School
Dewey Decimal
510
Dewey Edition
20
Illustrated
Yes

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5 out of 5 stars
by pricelesstapOct 04, 2020
Math is fun
Good book so far, explains math concepts very well. Writing is understandable.
Verified purchase: Yes | Condition: Pre-owned

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