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9780828403009

Matters Mathematical

by
  • ISBN13:

    9780828403009

  • ISBN10:

    0828403007

  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 1978-06-01
  • Publisher: Chelsea Pub Co

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Supplemental Materials

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Summary

From the Preface: "This book is based on notes prepared for a course at the University of Chicago. The course was intended for nonmajors whose mathematical training was somewhat limited ... Mastery of the material requires nothing beyond algebra and geometry normally covered in high school ... [It] could be used in courses designed for students who intend to teach mathematics ... We want the reader to see mathematics as a living subject in which new results are constantly being obtained." Reprint/Revision History: second edition 1978

Table of Contents

Sets and Functions
Sets
Sets and counting
Functions Number Theory
Prime numbers
Some formal aspects
Some formal consequences
Some basic properties
Equivalence relations
Congruence
Applications of the pigeon-hole principle
Waring's problem
Fermat and Mersenne primes Permutations
The set $A(S)$
Cycle decomposition
Even and odd
The interlacing shuffle
The Josephus permutation Bibliography Group Theory
Definition and examples of groups
Some beginning notions and results
Subgroups
Lagrange's theorem
Isomorphism Finite Geometry
Introduction
Affine planes
Counting arguments
Planes of low order
Coordinate affine planes
Parallelograms and midpoints
The nonexistence of planes of order
Suggestions for further reading Game Theory
Probability
Mathematical expectation
Preliminary remarks on games
Examples
The general two-by-two game
Simplified poker
The game without a name
Goofspiel Suggestions for further reading Infinite Sets
Infinite numbers; countable sets
Uncountable sets
Index
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

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