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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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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
PublisherDover Publications, Incorporated
ISBN-100486284247
ISBN-139780486284248
eBay Product ID (ePID)693159
Product Key Features
Educational LevelHigh School, Elementary School
Number of Pages352 Pages
LanguageEnglish
Publication Nameconcepts of Modern Mathematics
Publication Year1995
SubjectGeneral, Essays
FeaturesRevised
TypeStudy Guide
Subject AreaScience, Mathematics
AuthorIan Stewart
SeriesDover Books on Mathematics Ser.
FormatTrade Paperback
Dimensions
Item Height0.7 in
Item Weight12.8 Oz
Item Length8.5 in
Item Width5.2 in
Additional Product Features
LCCN94-039733
Dewey Edition20
Target AudienceElementary/High School
IllustratedYes
Dewey Decimal510
Edition DescriptionRevised Edition
Lc Classification NumberQa93.S73 1
Table of ContentPreface 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
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