The Real Number System in an Algebraic Setting PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Real Number System in an Algebraic Setting PDF full book. Access full book title The Real Number System in an Algebraic Setting by J. B. Roberts. Download full books in PDF and EPUB format.
Author: J. B. Roberts
Publisher: Courier Dover Publications
ISBN: 0486829863
Category : Mathematics
Languages : en
Pages : 160
Get Book
Book Description
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.
Author: J. B. Roberts
Publisher: Courier Dover Publications
ISBN: 0486829863
Category : Mathematics
Languages : en
Pages : 160
Get Book
Book Description
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.
Author: Joseph Buffington Roberts
Publisher:
ISBN: 9781258808587
Category :
Languages : en
Pages : 154
Get Book
Book Description
Author: Joe Roberts
Publisher: Hassell Street Press
ISBN: 9781013651731
Category :
Languages : en
Pages : 168
Get Book
Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author: J. B. Roberts
Publisher: Courier Dover Publications
ISBN: 0486824519
Category : Mathematics
Languages : en
Pages : 161
Get Book
Book Description
Originally published: San Francisco: W.H. Freeman, 1962.
Author: Leon Warren Cohen
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 136
Get Book
Book Description
Author: John Brian Roberts
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Get Book
Book Description
Author: John M. H. Olmsted
Publisher: Courier Dover Publications
ISBN: 0486834743
Category : Mathematics
Languages : en
Pages : 240
Get Book
Book Description
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.
Author: Sergei Ovchinnikov
Publisher: American Mathematical Soc.
ISBN: 147042018X
Category : Mathematics
Languages : en
Pages : 154
Get Book
Book Description
This book offers a rigorous and coherent introduction to the five basic number systems of mathematics, namely natural numbers, integers, rational numbers, real numbers, and complex numbers. It is a subject that many mathematicians believe should be learned by any student of mathematics including future teachers. The book starts with the development of Peano arithmetic in the first chapter which includes mathematical induction and elements of recursion theory. It proceeds to an examination of integers that also covers rings and ordered integral domains. The presentation of rational numbers includes material on ordered fields and convergence of sequences in these fields. Cauchy and Dedekind completeness properties of the field of real numbers are established, together with some properties of real continuous functions. An elementary proof of the Fundamental Theorem of Algebra is the highest point of the chapter on complex numbers. The great merit of the book lies in its extensive list of exercises following each chapter. These exercises are designed to assist the instructor and to enhance the learning experience of the students.
Author: John Stillwell
Publisher: Springer Science & Business Media
ISBN: 331901577X
Category : Mathematics
Languages : en
Pages : 253
Get Book
Book Description
While most texts on real analysis are content to assume the real numbers, or to treat them only briefly, this text makes a serious study of the real number system and the issues it brings to light. Analysis needs the real numbers to model the line, and to support the concepts of continuity and measure. But these seemingly simple requirements lead to deep issues of set theory—uncountability, the axiom of choice, and large cardinals. In fact, virtually all the concepts of infinite set theory are needed for a proper understanding of the real numbers, and hence of analysis itself. By focusing on the set-theoretic aspects of analysis, this text makes the best of two worlds: it combines a down-to-earth introduction to set theory with an exposition of the essence of analysis—the study of infinite processes on the real numbers. It is intended for senior undergraduates, but it will also be attractive to graduate students and professional mathematicians who, until now, have been content to "assume" the real numbers. Its prerequisites are calculus and basic mathematics. Mathematical history is woven into the text, explaining how the concepts of real number and infinity developed to meet the needs of analysis from ancient times to the late twentieth century. This rich presentation of history, along with a background of proofs, examples, exercises, and explanatory remarks, will help motivate the reader. The material covered includes classic topics from both set theory and real analysis courses, such as countable and uncountable sets, countable ordinals, the continuum problem, the Cantor–Schröder–Bernstein theorem, continuous functions, uniform convergence, Zorn's lemma, Borel sets, Baire functions, Lebesgue measure, and Riemann integrable functions.
Author: H. A. Thurston
Publisher: Courier Corporation
ISBN: 0486154947
Category : Mathematics
Languages : en
Pages : 146
Get Book
Book Description
This book explores arithmetic's underlying concepts and their logical development, in addition to a detailed, systematic construction of the number systems of rational, real, and complex numbers. 1956 edition.
