The Real Number System in an Algebraic Setting
(eBook)

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Published
Dover Publications, 2018.
Status
Available Online

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Format
eBook
Language
English
ISBN
9780486829869

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Citations

APA Citation, 7th Edition (style guide)

J. B. Roberts., & J. B. Roberts|AUTHOR. (2018). The Real Number System in an Algebraic Setting . Dover Publications.

Chicago / Turabian - Author Date Citation, 17th Edition (style guide)

J. B. Roberts and J. B. Roberts|AUTHOR. 2018. The Real Number System in an Algebraic Setting. Dover Publications.

Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)

J. B. Roberts and J. B. Roberts|AUTHOR. The Real Number System in an Algebraic Setting Dover Publications, 2018.

MLA Citation, 9th Edition (style guide)

J. B. Roberts, and J. B. Roberts|AUTHOR. The Real Number System in an Algebraic Setting Dover Publications, 2018.

Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.

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Grouped Work ID0923a4e5-957f-afe8-e9c1-64353d861d0a-eng
Full titlereal number system in an algebraic setting
Authorroberts j b
Grouping Categorybook
Last Update2024-05-15 02:01:14AM
Last Indexed2024-05-16 02:11:18AM

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First LoadedMar 7, 2024
Last UsedApr 21, 2024

Hoopla Extract Information

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    [synopsis] => 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.
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