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

(Univ Of California, Los Angeles, Usa)
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"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"--

In the first of three volumes on numbers and operations with them from an information perspective, Burgin looks at the history of numbers and arithmetic from ancient times to the ongoing changes during the 21st century. He covers from ancient times to the beginning of the second millennium, from the beginning of the second millennium to the beginning of the 20th century, the acceleration of development during the 20th and 21st centuries, the discovery of non-Diophantine arithmetics and their applications, and non-Diophantine operations with numbers and related constructions in the history of mathematics and science. Annotation ©2022 Ringgold, Inc., Portland, OR (protoview.com)
Preface v
About the Author vii
Acknowledgments xiii
Introduction xv
Chapter 1 The Story of Numbers and Arithmetic from Ancient Times to the Beginning of the Second Millennium
1(52)
Chapter 2 The Chronicle of Numbers and Arithmetic from the Beginning of the Second Millennium to the Beginning of the 20th century
53(48)
Chapter 3 Acceleration of the Development in Arithmetic and Numerical Systems in the 20th and 21st Centuries
101(36)
Chapter 4 Discovery of Non-Diophantine Arithmetics and their Applications
137(48)
Chapter 5 Non-Diophantine Operations with Numbers and Related Constructions in the History of Mathematics and Science
185(16)
Appendix. List of Arithmetics Used in Mathematics and Beyond 201(6)
Bibliography 207(112)
Index 319