History Of Binary And Other Nondecimal Numeration
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History Of Binary And Other Nondecimal Numeration
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Author : Anton Glaser
language : en
Publisher:
Release Date : 1981
History Of Binary And Other Nondecimal Numeration written by Anton Glaser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.
Handbook Of The History And Philosophy Of Mathematical Practice
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Author : Bharath Sriraman
language : en
Publisher: Springer Nature
Release Date :
Handbook Of The History And Philosophy Of Mathematical Practice written by Bharath Sriraman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Binary Arithmetic From Hariot Ca 1600 A D To The Computer Age
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Author : Anton Glaser
language : en
Publisher:
Release Date : 1972
Binary Arithmetic From Hariot Ca 1600 A D To The Computer Age written by Anton Glaser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Binary system (Mathematics) categories.
A Concise History Of Mathematics
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Author : Dirk J. Struik
language : en
Publisher: Courier Corporation
Release Date : 2012-06-28
A Concise History Of Mathematics written by Dirk J. Struik and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-28 with Mathematics categories.
This compact, well-written history — first published in 1948, and now in its fourth revised edition — describes the main trends in the development of all fields of mathematics from the first available records to the middle of the 20th century. Students, researchers, historians, specialists — in short, everyone with an interest in mathematics — will find it engrossing and stimulating. Beginning with the ancient Near East, the author traces the ideas and techniques developed in Egypt, Babylonia, China, and Arabia, looking into such manuscripts as the Egyptian Papyrus Rhind, the Ten Classics of China, and the Siddhantas of India. He considers Greek and Roman developments from their beginnings in Ionian rationalism to the fall of Constantinople; covers medieval European ideas and Renaissance trends; analyzes 17th- and 18th-century contributions; and offers an illuminating exposition of 19th century concepts. Every important figure in mathematical history is dealt with — Euclid, Archimedes, Diophantus, Omar Khayyam, Boethius, Fermat, Pascal, Newton, Leibniz, Fourier, Gauss, Riemann, Cantor, and many others. For this latest edition, Dr. Struik has both revised and updated the existing text, and also added a new chapter on the mathematics of the first half of the 20th century. Concise coverage is given to set theory, the influence of relativity and quantum theory, tensor calculus, the Lebesgue integral, the calculus of variations, and other important ideas and concepts. The book concludes with the beginnings of the computer era and the seminal work of von Neumann, Turing, Wiener, and others. "The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature Magazine.
A Concise History Of Mathematics
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Author : Dirk Jan Struik
language : en
Publisher: Courier Corporation
Release Date : 1967
A Concise History Of Mathematics written by Dirk Jan Struik and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Mathematics categories.
This compact, well-written history covers major mathematical ideas and techniques from the ancient Near East to 20th-century computer theory, surveying the works of Archimedes, Pascal, Gauss, Hilbert, and many others. "The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature.
Trilogy Of Numbers And Arithmetic Book 1 History Of Numbers And Arithmetic An Information Perspective
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Author : Mark Burgin
language : en
Publisher: World Scientific
Release Date : 2022-04-22
Trilogy Of Numbers And Arithmetic Book 1 History Of Numbers And Arithmetic An Information Perspective written by Mark Burgin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-22 with Mathematics categories.
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.
Leibniz On Binary
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Author : Lloyd Strickland
language : en
Publisher: MIT Press
Release Date : 2022-10-25
Leibniz On Binary written by Lloyd Strickland and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-25 with Mathematics categories.
The first collection of Leibniz’s key writings on the binary system, newly translated, with many previously unpublished in any language. The polymath Gottfried Wilhelm Leibniz (1646–1716) is known for his independent invention of the calculus in 1675. Another major—although less studied—mathematical contribution by Leibniz is his invention of binary arithmetic, the representational basis for today’s digital computing. This book offers the first collection of Leibniz’s most important writings on the binary system, all newly translated by the authors with many previously unpublished in any language. Taken together, these thirty-two texts tell the story of binary as Leibniz conceived it, from his first youthful writings on the subject to the mature development and publication of the binary system. As befits a scholarly edition, Strickland and Lewis have not only returned to Leibniz’s original manuscripts in preparing their translations, but also provided full critical apparatus. In addition to extensive annotations, each text is accompanied by a detailed introductory “headnote” that explains the context and content. Additional mathematical commentaries offer readers deep dives into Leibniz’s mathematical thinking. The texts are prefaced by a lengthy and detailed introductory essay, in which Strickland and Lewis trace Leibniz’s development of binary, place it in its historical context, and chart its posthumous influence, most notably on shaping our own computer age.
The Making Of Mathematics
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Author : Carlo Cellucci
language : en
Publisher: Springer Nature
Release Date : 2022-03-07
The Making Of Mathematics written by Carlo Cellucci and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-07 with Mathematics categories.
This book offers an alternative to current philosophy of mathematics: heuristic philosophy of mathematics. In accordance with the heuristic approach, the philosophy of mathematics must concern itself with the making of mathematics and in particular with mathematical discovery. In the past century, mainstream philosophy of mathematics has claimed that the philosophy of mathematics cannot concern itself with the making of mathematics but only with finished mathematics, namely mathematics as presented in published works. On this basis, mainstream philosophy of mathematics has maintained that mathematics is theorem proving by the axiomatic method. This view has turned out to be untenable because of Gödel’s incompleteness theorems, which have shown that the view that mathematics is theorem proving by the axiomatic method does not account for a large number of basic features of mathematics. By using the heuristic approach, this book argues that mathematics is not theorem proving by the axiomatic method, but is rather problem solving by the analytic method. The author argues that this view can account for the main items of the mathematical process, those being: mathematical objects, demonstrations, definitions, diagrams, notations, explanations, applicability, beauty, and the role of mathematical knowledge.
The History Of Mathematics From Antiquity To The Present
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Author : Joseph Warren Dauben
language : en
Publisher: Scholarly Title
Release Date : 1985
The History Of Mathematics From Antiquity To The Present written by Joseph Warren Dauben and has been published by Scholarly Title this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
E1ther 0r
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Author : Reza Noubary
language : en
Publisher:
Release Date : 2020-11-20
E1ther 0r written by Reza Noubary and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-20 with categories.
Numbers and numeration systems have played a key role in human development. Throughout history, our understanding of numbers has gone through a dramatic change and has reached a high level of sophistication. A number is an abstract concept used to describe a quantity. A numeration system is a set of basic symbols called numerals--such as 0, 1, and 2--and some rules--such as addition and multiplication--for making other symbols from them. The invention of a precise, workable numeration system is one of the greatest accomplishments of humanity. The numerical digits that we use today are based on the Hindu-Arabic numeral system developed over a thousand years ago. Other than decimal system/base 10 system that uses the ten symbols (0, 1 ... 9), a most popular system is the binary or base 2 system, which uses only the two symbols 0 and 1. Because computers use a sequence of switches that can be only on or off (bit), base 2 works well there. This book is an attempt to explore certain aspects of the binary system that relates to everyday life and mathematical sciences in particular. It focuses on the role of such systems and tries to analyze and visualize the world where decimal system is replaced by binary. It, whenever appropriate, uses what is known as Boolean logic.