عنوان

The real number system /

(Number (ISBN

0486834743

(Number (ISBN

9780486834740

Erroneous ISBN

048682764X

Erroneous ISBN

9780486827643

Title Proper

The real number system /

General Material Designation

[Book]

First Statement of Responsibility

John M.H. Olmsted.

Place of Publication, Distribution, etc.

Mineola, New York :

Name of Publisher, Distributor, etc.

Dover Publications,

Date of Publication, Distribution, etc.

2018.

Specific Material Designation and Extent of Item

1 online resource (xii, 216 pages) :

Other Physical Details

illustrations

Series Title

Dover Books on Mathematics

Text of Note

Includes index.

Text of Note

Preface -- Fields -- Ordered fields -- Natural numbers and mathematical inductioná -- Composite and prime numbers -- Integers and rational numbers -- Congruences and finite fields -- Polynomials and rational functions -- Intervals and absolute value -- The axiom of completeness -- Roots and rational exponents -- Exponents and logarithms -- Decimal expansions -- Appendix -- Answers to problems -- List of special symbols.

0

Text of Note

Concise but thorough and systematic, this categorical discussion of the real number system presents a series of step-by-step axioms, each illustrated by examples. The highly accessible text is suitable for readers at varying levels of knowledge and experience: advanced high school students and college undergraduates as well as prospective high school and college instructors. The abundance of examples and the wealth of exercises--more than 300, all with answers provided--make this a particularly valuable book for self-study. The first two chapters examine fields and ordered fields, followed by an introduction to natural numbers and mathematical induction. Subsequent chapters explore composite and prime numbers, integers and rational numbers, congruences and finite fields, and polynomials and rational functions. Additional topics include intervals and absolute value, the axiom of completeness, roots and rational exponents, exponents and logarithms, and decimal expansions. A helpful Appendix concludes the text.

Text of Note

Concise but thorough and systematic, this categorical discussion presents a series of step-by-step axioms. The highly accessible text includes numerous examples and more than 300 exercises, all with answers. 1962 edition.

Source for Acquisition/Subscription Address

OverDrive, Inc.

Stock Number

7C3F8637-9ABA-41C1-93DF-AA35F5E5628F

Title

Real number system.

International Standard Book Number

9780486827643

Numbers, Real.

MATHEMATICS-- Number Systems.

Numbers, Real.

Number

Class number

Book number

Olmsted, John M. H.

Date of Transaction

20200822114448.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y