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The Number System


The Number System
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The Number System


The Number System
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Author : H. A. Thurston
language : en
Publisher: Courier Corporation
Release Date : 2012-10-23

The Number System written by H. A. Thurston and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-23 with Mathematics categories.


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.



The Real Number System


The Real Number System
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Author : John M. H. Olmsted
language : en
Publisher: Courier Dover Publications
Release Date : 2018-09-12

The Real Number System written by John M. H. Olmsted and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-12 with Mathematics categories.


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.



Number Systems And The Foundations Of Analysis


Number Systems And The Foundations Of Analysis
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Author : Elliott Mendelson
language : en
Publisher: Dover Books on Mathematics
Release Date : 2008

Number Systems And The Foundations Of Analysis written by Elliott Mendelson and has been published by Dover Books on Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.


Geared toward undergraduate and beginning graduate students, this study explores natural numbers, integers, rational numbers, real numbers, and complex numbers. Numerous exercises and appendixes supplement the text. 1973 edition.



Number Systems


Number Systems
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Author : Sergeĭ Ovchinnikov
language : en
Publisher:
Release Date : 2015

Number Systems written by Sergeĭ Ovchinnikov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.


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



The Number System Of Algebra


The Number System Of Algebra
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Author : Henry Burchard Fine
language : en
Publisher:
Release Date : 1890

The Number System Of Algebra written by Henry Burchard Fine and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1890 with Algebra categories.




Complex Binary Number System


Complex Binary Number System
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Author : Tariq Jamil
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-04

Complex Binary Number System written by Tariq Jamil and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-04 with Technology & Engineering categories.


This book is a compilation of the entire research work on the topic of Complex Binary Number System (CBNS) carried out by the author as the principal investigator and members of his research groups at various universities during the years 2000-2012. Pursuant to these efforts spanning several years, the realization of CBNS as a viable alternative to represent complex numbers in an “all-in-one” binary number format has become possible and efforts are underway to build computer hardware based on this unique number system. It is hoped that this work will be of interest to anyone involved in computer arithmetic and digital logic design and kindle renewed enthusiasm among the engineers working in the areas of digital signal and image processing for developing newer and efficient algorithms and techniques incorporating CBNS.



The Number System And Common And Decimal Fractions


The Number System And Common And Decimal Fractions
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Author : Britannica Educational Publishing
language : en
Publisher: Britannica Educational Publishing
Release Date : 2015-01-01

The Number System And Common And Decimal Fractions written by Britannica Educational Publishing and has been published by Britannica Educational Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-01 with Juvenile Nonfiction categories.


This engrossing guide to the number system and fractions combines the history of math with its practical applications, making the story of math engaging for all readers. Both the number system and computations with fractions constitute important elements of the Common Core mathematical standards for grades 6–8, and in this text, theory and practice combine, giving students an excellent approach to both fields. Sample problems are couched in the stories of the mathematicians and great societies that developed these areas of study—proving riveting for even those who typically shy away from math.



Numbers


Numbers
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Author : Edward Stanford
language : en
Publisher: Xlibris Corporation
Release Date : 2013-06-26

Numbers written by Edward Stanford and has been published by Xlibris Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-26 with Self-Help categories.


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Foundation Mathematics For Computer Science


Foundation Mathematics For Computer Science
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Author : John Vince
language : en
Publisher: Springer
Release Date : 2015-07-27

Foundation Mathematics For Computer Science written by John Vince and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-27 with Computers categories.


John Vince describes a range of mathematical topics to provide a foundation for an undergraduate course in computer science, starting with a review of number systems and their relevance to digital computers, and finishing with differential and integral calculus. Readers will find that the author's visual approach will greatly improve their understanding as to why certain mathematical structures exist, together with how they are used in real-world applications. Each chapter includes full-colour illustrations to clarify the mathematical descriptions, and in some cases, equations are also coloured to reveal vital algebraic patterns. The numerous worked examples will consolidate comprehension of abstract mathematical concepts. Foundation Mathematics for Computer Science covers number systems, algebra, logic, trigonometry, coordinate systems, determinants, vectors, matrices, geometric matrix transforms, differential and integral calculus, and reveals the names of the mathematicians behind such inventions. During this journey, John Vince touches upon more esoteric topics such as quaternions, octonions, Grassmann algebra, Barycentric coordinates, transfinite sets and prime numbers. Whether you intend to pursue a career in programming, scientific visualisation, systems design, or real-time computing, you should find the author’s literary style refreshingly lucid and engaging, and prepare you for more advanced texts.