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Concepts of Modern Mathematics

by

Concepts of Modern Mathematics Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

Synopsis:

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 other subjects. No advanced mathematical background is needed to follow thought-provoking discussions of such topics as functions, symmetry, axiomatics, counting, topology, hyperspace, linear algebra, and more. 200 illustrations.

Description:

Includes bibliographical references (p. [322]-334) and index.

Table of Contents

Preface to the Dover Edition

Preface to the First Edition

1. Mathematics in General

2. Motion without Movement

3. Short Cuts in the Higher Arithmetic

4. The Language of Sets

5. What is a Function?

6. The Beginnings of Abstract Algebra

7. Symmetry: The Group Concept

8. Axiomatics

9. Counting: Finite and Infinite

10. Topology

11. The Power of Indirect Thinking

12. Topological Invariants

13. Algebraic Topology

14. Into Hyperspace

15. Linear Algebra

16. Real Analysis

17. The Theory of Probability

18. Computers and Their Uses

19. Applications of Modern Mathematics

20. Foundations

Appendix

Notes

Glossary of Symbols

Index

Product Details

ISBN:
9780486284248
Author:
Stewart, Ian
Publisher:
Dover Publications
Author:
Stewart, Simon JR. Way JR. Way
Author:
Stewart, Simon
Author:
Stewart, Simon JR. Way
Author:
Stewart, Moser Mark Mark Mark Mark Mark
Author:
Stewart, Paul
Author:
Stewart
Location:
New York :
Subject:
General
Subject:
General science
Subject:
Mathematics
Subject:
Popular works
Subject:
Mathematics -- Popular works.
Subject:
General Science
Subject:
Mathematics - General
Subject:
Algebra - General
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Series Volume:
SB-176
Publication Date:
19950231
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
352
Dimensions:
8.5 x 5.38 in 0.83 lb

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Related Subjects


Reference » Science Reference » General
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Basics
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » History
Science and Mathematics » Mathematics » Popular Surveys and Recreational

Concepts of Modern Mathematics New Trade Paper
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Product details 352 pages Dover Publications - English 9780486284248 Reviews:
"Synopsis" by ,
In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.
"Synopsis" by ,
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 other subjects. No advanced mathematical background is needed to follow thought-provoking discussions of such topics as functions, symmetry, axiomatics, counting, topology, hyperspace, linear algebra, and more. 200 illustrations.
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