Trilogy Of Numbers And Arithmetic Book 1 History Of Numbers And Arithmetic An Information Perspective

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Trilogy Of Numbers And Arithmetic - Book 1: History Of Numbers And Arithmetic: An Information Perspective

Author : Mark Burgin
Publisher : World Scientific
ISBN 13 : 9811236852
Total Pages : 370 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Trilogy Of Numbers And Arithmetic - Book 1: History Of Numbers And Arithmetic: An Information Perspective by : Mark Burgin

Download or read book Trilogy Of Numbers And Arithmetic - Book 1: History Of Numbers And Arithmetic: An Information Perspective written by Mark Burgin and published by World Scientific. This book was released on 2022-04-22 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is the first in the trilogy which will bring you to the fascinating world of numbers and operations with them. Numbers provide information about myriads of things. Together with operations, numbers constitute arithmetic forming in basic intellectual instruments of theoretical and practical activity of people and offering powerful tools for representation, acquisition, transmission, processing, storage, and management of information about the world.The history of numbers and arithmetic is the topic of a variety of books and at the same time, it is extensively presented in many books on the history of mathematics. However, all of them, at best, bring the reader to the end of the 19th century without including the developments in these areas in the 20th century and later. Besides, such books consider and describe only the most popular classes of numbers, such as whole numbers or real numbers. At the same time, a diversity of new classes of numbers and arithmetic were introduced in the 20th century.This book looks into the chronicle of numbers and arithmetic from ancient times all the way to 21st century. It also includes the developments in these areas in the 20th century and later. A unique aspect of this book is its information orientation of the exposition of the history of numbers and arithmetic.

Chaos, Information, And The Future Of Physics: The Seaman-rossler Dialogue With Information Perspectives By Burgin And Seaman

Author : William Seaman
Publisher : World Scientific
ISBN 13 : 9811271380
Total Pages : 599 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Chaos, Information, And The Future Of Physics: The Seaman-rossler Dialogue With Information Perspectives By Burgin And Seaman by : William Seaman

Download or read book Chaos, Information, And The Future Of Physics: The Seaman-rossler Dialogue With Information Perspectives By Burgin And Seaman written by William Seaman and published by World Scientific. This book was released on 2023-06-22 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main part of the book consists of the dialogue between physicist Otto Rössler, and artist and AI researcher Bill Seaman with the commentaries disclosing information perspective by information scientist Mark Burgin and Bill Seaman. In this dialogue, Rössler and Seaman discuss concepts surrounding Rössler's major research over his lifetime. Additionally, each research topic is linked to the set of papers and books published by Rössler and other related collaborative researchers. The goal is to delineate an intellectual directory for future researchers. The discussed topics being transdisciplinary in nature cross many fields in science and technology. A comprehensive historical bibliography is also included. The work explores many fields germane to theoretical science as Rössler was often quite early in developing these fields and interacting with many famous scientists. This work pertains to information theory, which has often been left out of the historical literature.Burgin as an expert in information theory is providing an information perspective on this dialogue adding historical discussion and relevant scientific and mathematical underpinnings of the discussed ideas. His observations are complemented by Seaman, who presents the synthesis of artistic and scientific outlook.Addendum contains articles describing Rössler's relationships to colleagues from multiple fields, a parable by Rössler and papers related to Rössler's research and theoretical models of processes in the universe.

Ontological Information: Information In The Physical World

Author : Roman Krzanowski
Publisher : World Scientific
ISBN 13 : 9811248834
Total Pages : 276 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Ontological Information: Information In The Physical World by : Roman Krzanowski

Download or read book Ontological Information: Information In The Physical World written by Roman Krzanowski and published by World Scientific. This book was released on 2022-04-22 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the nature of information. It touches on many core issues of philosophy of the mind, ontology, and epistemology, and draws in several domain-specific concepts from physics, mathematics, thermodynamics, computer science, and biology. The terms used in this book, such as the mind, a conscious agent, meaning, and knowledge are used with very precise meanings because they can be easily misinterpreted. A proper understanding of these terms can be gained from the referenced literature. But more specifically, this book is about the concept of information as physical phenomenon.The book is a unique exposition of the concept of information as physical phenomenon. It provides the detailed analysis and synthesis of the current conceptualizations of information demonstrating the lack of common definition and their incompleteness. The detailed argument is provided why information may be defined as a physical phenomenon and why this type of information may be seen as fundamental to our understanding of this concept.

Logic Of The Third, The: A Paradigm Shift To A Shared Future For Humanity

Author : Wolfgang Hofkirchner
Publisher : World Scientific
ISBN 13 : 9811261032
Total Pages : 315 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Logic Of The Third, The: A Paradigm Shift To A Shared Future For Humanity by : Wolfgang Hofkirchner

Download or read book Logic Of The Third, The: A Paradigm Shift To A Shared Future For Humanity written by Wolfgang Hofkirchner and published by World Scientific. This book was released on 2022-10-21 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a scientific basis for understanding the urgent need for a Great Transformation to a third step in social evolution. Already being a community of common destiny, humanity can form an actual unity through diversity to avoid extinction. Social actors can recognise informational imperatives for cognition, communication and co-operation to achieve such a unity. By doing so, they apply a logic that underlies the structuration of any agency, which is a real logic of self-organising systems from the physical to the social. This logic is the Logic of the Third — the Third is a meta-structure that emerges in a leap. The agents interact and when they co-act they are likely to form a real meta-structure of organisational relations. Informational agents anticipate this by generating requisite information in their attempt to cope with complex challenges. Such an information is a meta-structure too. The Third helps achieve synergy effects.This book discusses considerations from philosophy, systems theory, the study of information, social systems, social information, ecology and technology. It addresses ethical issues connected with the long-forgotten arms race in an atomic age, the global warming not yet under control, the pandemic misunderstood, the social question still unanswered.

Probability, Information, And Physics: Problems With Quantum Mechanics In The Context Of A Novel Probability Theory

Author : Paolo Rocchi
Publisher : World Scientific
ISBN 13 : 981127276X
Total Pages : 286 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Probability, Information, And Physics: Problems With Quantum Mechanics In The Context Of A Novel Probability Theory by : Paolo Rocchi

Download or read book Probability, Information, And Physics: Problems With Quantum Mechanics In The Context Of A Novel Probability Theory written by Paolo Rocchi and published by World Scientific. This book was released on 2023-08-29 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with two main topics. The first is a theory that aims to unify the many interpretations of probability presented in the literature. The second uses this comprehensive theory of probability to answer the questions of quantum mechanics that have long been debated. The entire book proposes original solutions that several experimental cases substantiate.

The History of Number Systems: Place Value

Author : Gabriel Esmay
Publisher : Teacher Created Materials
ISBN 13 : 1480757942
Total Pages : 35 pages
Book Rating : 4.4/5 (87 download)

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Book Synopsis The History of Number Systems: Place Value by : Gabriel Esmay

Download or read book The History of Number Systems: Place Value written by Gabriel Esmay and published by Teacher Created Materials. This book was released on 2017-06-01 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn the history of number systems with this engaging book! This text combines mathematics and literacy skills, and uses practical, real-world examples of problem solving to teach math and language arts content. Students will learn place value while reading about the number systems of the Egyptians and Romans, and also learn important vocabulary terms like cuneiform, binary systems, roman numerals, and more! The full-color images, math charts, and practice problems make learning math easy and fun. The table of contents, glossary, and index will further understanding of math and reading concepts. The Math Talk problems and Explore Math sidebars provide additional learning opportunities while developing students higher-order thinking skills.

The Number Concept

Author : Levi Leonard Conant
Publisher :
ISBN 13 : 9781076093950
Total Pages : 228 pages
Book Rating : 4.0/5 (939 download)

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Book Synopsis The Number Concept by : Levi Leonard Conant

Download or read book The Number Concept written by Levi Leonard Conant and published by . This book was released on 2019-06-25 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book which though small bears evidence of a wonderful amount of research and labor. The author, Professor Conant, has drawn from every possible source to give the reader information upon the origin of number, the use ol numerals, the terms used in mathematics, in the weights and measures, and in every conceivable direction where number comes into use. At first sight the book seems to be dry, or, to say the least, adapted only to the comprehension of those to whom mathematics is a delight or a necessity; but as one looks over the pages very interesting matter is revealed and there is an immense amount of information written in a very attractive style. --"The Buffalo Commercial."Prof. L. L. Conant, of the Worcester Polytechnic Institute, in his opening chapter on "Counting'' in his just published work on " The Number Concept, Its Origin and Development," says: "Among the speculative questions which arise in connection with the study of arithmetic from a historical standpoint the origin of number is one that has provoked the most lively discussion and has led to a great amount of learned research among the primitive and savage languages of the human race.Prof. Conant can find no trace in the history of even the most barbarous tribes where there is not at least some familiarity with the number concept. This knowledge is in some cases extremely limited. Among some of the forest tribes of Brazil and the native races of Australia the knowledge of numbers does not go beyond 1 and 2, or 1, 2 and 3, but there is the knowledge all the same. There is at least the concept even in the lowest condition of savagery of a difference between one and two, or at least between one and many.Some idea of the scope of this most interesting work may be had from the chapter titles, Counting, Number System Limits, Origin of Number Words, Miscellaneous Number Bases, The Quinary System, and the Vigesimal System. The work shows great research and Prof. Conant has drawn as far as possible upon original resources. He has also taken great care in the selection of his authorities, and makes his work an attractive one even to those who have little or no interest in mathematics. --"The Boston Daily Advertiser."

The Arithmetic Primer

Author : Frank H. Hall
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis The Arithmetic Primer by : Frank H. Hall

Download or read book The Arithmetic Primer written by Frank H. Hall and published by . This book was released on 1901 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numbers

Author : Joseph Midthun
Publisher : World Book a Scott Fetzer Company
ISBN 13 : 9780716614364
Total Pages : 32 pages
Book Rating : 4.6/5 (143 download)

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Book Synopsis Numbers by : Joseph Midthun

Download or read book Numbers written by Joseph Midthun and published by World Book a Scott Fetzer Company. This book was released on 2013 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A graphic nonfiction volume that introduces the history of numbers and number systems"--

Numbers

Author : Graham Flegg
Publisher : Schocken
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Numbers by : Graham Flegg

Download or read book Numbers written by Graham Flegg and published by Schocken. This book was released on 1983 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extremely readable, jargon-free book for general readers traces the evolution of counting systems, from the primitive techniques of antiquity to computers. Text examines the earliest endeavors to count and record numbers, initial attempts to solve problems by using equations, and origins of infinite cardinal arithmetic. "Surprisingly exciting." -- "Choice."

Ray's Arithmetic Set, Grades 1-9

Author : Ray Joseph
Publisher : Mott Media
ISBN 13 : 9780880620505
Total Pages : pages
Book Rating : 4.6/5 (25 download)

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Book Synopsis Ray's Arithmetic Set, Grades 1-9 by : Ray Joseph

Download or read book Ray's Arithmetic Set, Grades 1-9 written by Ray Joseph and published by Mott Media. This book was released on 1985-01-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Republished version of the Ray's Arithmetic from the late 1870's and early 1880's. Includes the following books: (some in hardback and some in paperback) Primary Arithmetic, Intellectual Arithmetic, Practical Arithmetic, Key to the Primary/Intellectual/Practical, Test Examples in Arithmetic, Higher Arithmetic, Key to Higher Arithmetic, Parent Teacher Guide (by Ruth Beechick).

The Universal History of Numbers

Author : Georges Ifrah
Publisher : Wiley
ISBN 13 : 9780471393405
Total Pages : 660 pages
Book Rating : 4.3/5 (934 download)

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Book Synopsis The Universal History of Numbers by : Georges Ifrah

Download or read book The Universal History of Numbers written by Georges Ifrah and published by Wiley. This book was released on 2000-10-09 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Georges Ifrah is the man. This book, quite simply, rules. . . . It is outstanding . . . a mind-boggling and enriching experience." –The Guardian (London) "Monumental. . . . a fascinating journey taking us through many different cultures."–The Times (London)"Ifrah’s book amazes and fascinates by the scope of its scholarship. It is nothing less than the history of the human race told through figures." –International Herald Tribune Now in paperback, here is Georges Ifrah’s landmark international bestseller–the first complete, universal study of the invention and evolution of numbers the world over. A riveting history of counting and calculating, from the time of the cave dwellers to the twentieth century, this fascinating volume brings numbers to thrilling life, explaining their development in human terms, the intriguing situations that made them necessary, and the brilliant achievements in human thought that they made possible. It takes us through the numbers story from Europe to China, via ancient Greece and Rome, Mesopotamia, Latin America, India, and the Arabic countries. Exploring the many ways civilizations developed and changed their mathematical systems, Ifrah imparts a unique insight into the nature of human thought–and into how our understanding of numbers and the ways they shape our lives have changed and grown over thousands of years. "Dazzling."–Kirkus Reviews "Sure to transfix readers."–PublishersWeekly

First Book in Arithmetic

Author : Frederick M. Wiemer
Publisher : Forgotten Books
ISBN 13 : 9781527732124
Total Pages : 102 pages
Book Rating : 4.7/5 (321 download)

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Book Synopsis First Book in Arithmetic by : Frederick M. Wiemer

Download or read book First Book in Arithmetic written by Frederick M. Wiemer and published by Forgotten Books. This book was released on 2017-10-26 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from First Book in Arithmetic: Numbers 1 to 100 The pupil should be led not only to find out facts for him self, but to employ original devices in the solution of problems. In all work the teacher should insist that the pupil knows what he is doing and why he is doing it, and should teach him to depend largely upon his own resources. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

The Universal History Of Numbers 1: The Worlds First Number-Systems

Author : Georges Ifrah
Publisher :
ISBN 13 : 9780143032571
Total Pages : 0 pages
Book Rating : 4.0/5 (325 download)

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Book Synopsis The Universal History Of Numbers 1: The Worlds First Number-Systems by : Georges Ifrah

Download or read book The Universal History Of Numbers 1: The Worlds First Number-Systems written by Georges Ifrah and published by . This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numbers Are One Of Two Creations (The Other Being The Alphabet) Of The Human Spirit Which Have Given Us Today S World. The Three Volumes Of The Universal History Of Numbers Are Probably The First Comprehensive History Of Numbers And Of Counting From Prehistory To The Modern Age. They Are Also The Story Of How The Human Race Has Learnt To Think Logically. In Volume 1, Georges Ifrah Leads The Reader Through The Whole Art And Science Of Numeration As It Has Developed All Over The World, From The Court Sages Of Mesopotamia And Egypt To The Priests And Astronomers Who Perfected The Mayan Calendar. We Meet Those Who Count To Four Anything More Is Lots ; We Discover The First Use Of Fingers And Toes For Counting; We Follow The Sequence Of Trial And Error That Chose A Number Of Bases For Counting Until Base 10, The Metric System, Was Put In Place. In The Far East They Perfected Many Centuries Ago A Method Of Counting With The Abacus That Remains Astonishing In Its Speed And Sophistication. Yet It Still Begs The Intriguing Question: How Did They Manage For All Those Hundreds Of Years Without The Zero? Amazing, Captivating And Enriching, The Universal History Of Numbers Is A Must Read Not Only For Specialists And Academics, But Also For The Average Reader Who Is Interested In The Development Of Civilization.

Numbers and Numerals

Author : David Eugene Smith
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Numbers and Numerals by : David Eugene Smith

Download or read book Numbers and Numerals written by David Eugene Smith and published by . This book was released on 1961 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: THE HISTORY OF NUMBERS FROM THE CLAY TABLETS OF SUMEREA TO MODERN DAY MATHEMATICS.

History of Number

Author : Kay Owens
Publisher : Springer
ISBN 13 : 9783319454825
Total Pages : 0 pages
Book Rating : 4.4/5 (548 download)

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Book Synopsis History of Number by : Kay Owens

Download or read book History of Number written by Kay Owens and published by Springer. This book was released on 2017-11-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume presents an ecocultural and embodied perspective on understanding numbers and their history in indigenous communities. The book focuses on research carried out in Papua New Guinea and Oceania, and will help educators understand humanity's use of numbers, and their development and change. The authors focus on indigenous mathematics education in the early years and shine light on the unique processes and number systems of non-European styled cultural classrooms. This new perspective for mathematics education challenges educators who have not heard about the history of number outside of Western traditions, and can help them develop a rich cultural competence in their own practice and a new vision of foundational number concepts such as large numbers, groups, and systems. Featured in this invaluable resource are some data and analyses that chief researcher Glendon Angove Lean collected while living in Papua New Guinea before his death in 1995. Among the topics covered: The diversity of counting system cycles, where they were established, and how they may have developed. A detailed exploration of number systems other than base 10 systems including: 2-cycle, 5-cycle, 4- and 6-cycle systems, and body-part tally systems. Research collected from major studies such as Geoff Smith's and Sue Holzknecht’s studies of Morobe Province's multiple counting systems, Charly Muke's study of counting in the Wahgi Valley in the Jiwaka Province, and Patricia Paraide's documentation of the number and measurement knowledge of her Tolai community. The implications of viewing early numeracy in the light of this book’s research, and ways of catering to diversity in mathematics education. In this volume Kay Owens draws on recent research from diverse fields such as linguistics and archaeology to present their exegesis on the history of number reaching back ten thousand years ago. Researchers and educators interested in the history of mathematical sciences will find History of Number: Evidence from Papua New Guinea and Oceania to be an invaluable resource.

The Number Concept

Author : Levi L Conant
Publisher :
ISBN 13 :
Total Pages : 166 pages
Book Rating : 4.6/5 (289 download)

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Book Synopsis The Number Concept by : Levi L Conant

Download or read book The Number Concept written by Levi L Conant and published by . This book was released on 2020-03-21 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the speculative questions which arise in connection with the study of arithmetic from a historical standpoint, the origin of number is one that has provoked much lively discussion, and has led to a great amount of learned research among the primitive and savage languages of the human race. A few simple considerations will, however, show that such research must necessarily leave this question entirely unsettled, and will indicate clearly that it is, from the very nature of things, a question to which no definite and final answer can be given.Among the barbarous tribes whose languages have been studied, even in a most cursory manner, none have ever been discovered which did not show some familiarity with the number concept. The knowledge thus indicated has often proved to be most limited; not extending beyond the numbers 1 and 2, or 1, 2, and 3. Examples of this poverty of number knowledge are found among the forest tribes of Brazil, the native races of Australia and elsewhere, and they are considered in some detail in the next chapter. At first thought it seems quite inconceivable that any human being should be destitute of the power of counting beyond 2. But such is the case; and in a few instances languages have been found to be absolutely destitute of pure numeral words.