eBook ISBN:  9781470457136 
Product Code:  DOL/1.E 
List Price:  $60.00 
MAA Member Price:  $45.00 
AMS Member Price:  $45.00 
eBook ISBN:  9781470457136 
Product Code:  DOL/1.E 
List Price:  $60.00 
MAA Member Price:  $45.00 
AMS Member Price:  $45.00 

Book DetailsDolciani Mathematical ExpositionsVolume: 1; 1974; 187 pp
This book deals with the number system, one of the basic structures in mathematics. It is concerned especially with way of classifying numbers into various categories; for example, it provides some criteria for deciding if a given number is rational (i.e., representable as a common fraction) or irrational, if it is algebraic or transcendental. In the course of the later chapters, the reader is introduced to some of the more recent developments in mathematics. Professor Niven's book may be read with profit by interested high school students as well as by college students and others who want to know more about the basic aspect of pure mathematics. Most readers will find the early chapters well within their grasp while ambitious readers will profit by the more advanced material to be found in later chapters.

Table of Contents

Articles

An Old Chinese Theorem and Pierre De Fermat

Louis Pósa

Equilateral Triangles

The Orchard Problem

$\Delta $Curves

It’s Combinatorics that Counts!

The KozyrevGrinberg Theory of Hamiltonian Circuits

Morley’s Theorem

A Problem in Combinatorics

MultiplyPerfect, Superabundant, and Practical Numbers

Circles, Squares, and Lattice Points

Recursion

Poulet, SuperPoulet, and Related Numbers


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This book deals with the number system, one of the basic structures in mathematics. It is concerned especially with way of classifying numbers into various categories; for example, it provides some criteria for deciding if a given number is rational (i.e., representable as a common fraction) or irrational, if it is algebraic or transcendental. In the course of the later chapters, the reader is introduced to some of the more recent developments in mathematics. Professor Niven's book may be read with profit by interested high school students as well as by college students and others who want to know more about the basic aspect of pure mathematics. Most readers will find the early chapters well within their grasp while ambitious readers will profit by the more advanced material to be found in later chapters.

Articles

An Old Chinese Theorem and Pierre De Fermat

Louis Pósa

Equilateral Triangles

The Orchard Problem

$\Delta $Curves

It’s Combinatorics that Counts!

The KozyrevGrinberg Theory of Hamiltonian Circuits

Morley’s Theorem

A Problem in Combinatorics

MultiplyPerfect, Superabundant, and Practical Numbers

Circles, Squares, and Lattice Points

Recursion

Poulet, SuperPoulet, and Related Numbers