عنوان

The real number system in an algebraic setting /

شابک

0486829863

شابک

9780486829869

شابک اشتباه

0486824519

شابک اشتباه

9780486824512

عنوان اصلي

The real number system in an algebraic setting /

نام عام مواد

[Book]

نام نخستين پديدآور

J.B. Roberts, Reed College.

محل نشرو پخش و غیره

Mineola :

نام ناشر، پخش کننده و غيره

Dover Publications,

تاریخ نشرو بخش و غیره

2018.

نام خاص و کميت اثر

1 online resource (ix, 145 pages) :

ساير جزييات

illustrations

عنوان فروست

Dover Books on Mathematics

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

Introduction -- The natural numbers -- The positive rational numbers -- Interlude, in which the way is prepared -- The nonnegative real numbers -- The real numbers.

بدون عنوان

0

متن يادداشت

A grasp of the precision, beauty, and complexity of mathematics requires an understanding of some of the subject's technical aspects. The real number system provides an ideal framework for cultivating such an appreciation, and this detailed investigation of the system offers an accessible introduction. The treatment presumes only a familiarity with the basic properties of natural numbers, although readers must be willing to apply themselves. Proceeding from a review of the natural numbers to the positive rational numbers, the text advances to the nonnegative real numbers and the set of all real numbers. Author J.B. Roberts stresses self-reliance in this approach, and readers will find that many of the exercises are inseparable from the text and must be completed before moving forward. No proofs are given in the first part of the final chapter, where students are encouraged to use the definitions and theorems to develop the set of all real numbers from the set of nonnegative real numbers. Helpful appendixes introduce cardinal and complex numbers. Suitable as a supplement for any undergraduate course in real numbers, this book is especially valuable for courses in the teaching of mathematics.

متن يادداشت

Proceeding from a review of the natural numbers to the positive rational numbers, this text advances to the nonnegative real numbers and the set of all real numbers. 1962 edition.

عنوان

Real number system in an algebraic setting.

شماره استاندارد بين المللي کتاب و موسيقي

9780486824512

موضوع مستند نشده

Arithmetic-- Foundations.

موضوع مستند نشده

Number theory.

موضوع مستند نشده

Numbers, Real.

موضوع مستند نشده

Arithmetic-- Foundations.

موضوع مستند نشده

MATHEMATICS / Algebra / Intermediate.

موضوع مستند نشده

Number theory.

موضوع مستند نشده

Numbers, Real.

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Roberts, J. B.

تاريخ عمليات

20200822114448.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y