Download or read book History of Binary and Other Nondecimal Numeration written by Anton Glaser and published by . This book was released on 1981 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Handbook of the History and Philosophy of Mathematical Practice written by Bharath Sriraman and published by Springer Nature. This book was released on with total page 3221 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book The Complete Idiot s Guide to the I Ching written by Elizabeth Moran and published by Penguin. This book was released on 2001 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to the ancient Chinese oracle provides a modern interpretation of the sixty-four hexagrams and includes step-by-step instructions for casting using the three-coin and yarrow stalk methods.
Download or read book A Concise History of Mathematics written by Dirk Jan Struik and published by Courier Corporation. This book was released on 1967 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book A Concise History of Mathematics written by Dirk J. Struik and published by Courier Corporation. This book was released on 2012-06-28 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Leibniz on Binary written by Lloyd Strickland and published by MIT Press. This book was released on 2022-10-25 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Professor Stewart s Incredible Numbers written by Ian Stewart and published by Basic Books. This book was released on 2015-04-07 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Renowned mathematician Ian Stewart uses remarkable (and some unremarkable) numbers to introduce readers to the beauty of mathematics. At its heart, mathematics is about numbers, our fundamental tools for understanding the world. In Professor Stewart's Incredible Numbers, Ian Stewart offers a delightful introduction to the numbers that surround us, from the common (Pi and 2) to the uncommon but no less consequential (1.059463 and 43,252,003,274,489,856,000). Along the way, Stewart takes us through prime numbers, cubic equations, the concept of zero, the possible positions on the Rubik's Cube, the role of numbers in human history, and beyond! An unfailingly genial guide, Stewart brings his characteristic wit and erudition to bear on these incredible numbers, offering an engaging primer on the principles and power of math.
Download or read book Alex s Adventures in Numberland written by Alex Bellos and published by A&C Black. This book was released on 2011-04-04 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: The world of maths can seem mind-boggling, irrelevant and, let's face it, boring. This groundbreaking book reclaims maths from the geeks. Mathematical ideas underpin just about everything in our lives: from the surprising geometry of the 50p piece to how probability can help you win in any casino. In search of weird and wonderful mathematical phenomena, Alex Bellos travels across the globe and meets the world's fastest mental calculators in Germany and a startlingly numerate chimpanzee in Japan. Packed with fascinating, eye-opening anecdotes, Alex's Adventures in Numberland is an exhilarating cocktail of history, reportage and mathematical proofs that will leave you awestruck.
Download or read book Non diophantine Arithmetics In Mathematics Physics And Psychology written by Mark Burgin and published by World Scientific. This book was released on 2020-11-04 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt: For a long time, all thought there was only one geometry — Euclidean geometry. Nevertheless, in the 19th century, many non-Euclidean geometries were discovered. It took almost two millennia to do this. This was the major mathematical discovery and advancement of the 19th century, which changed understanding of mathematics and the work of mathematicians providing innovative insights and tools for mathematical research and applications of mathematics.A similar event happened in arithmetic in the 20th century. Even longer than with geometry, all thought there was only one conventional arithmetic of natural numbers — the Diophantine arithmetic, in which 2+2=4 and 1+1=2. It is natural to call the conventional arithmetic by the name Diophantine arithmetic due to the important contributions to arithmetic by Diophantus. Nevertheless, in the 20th century, many non-Diophantine arithmetics were discovered, in some of which 2+2=5 or 1+1=3. It took more than two millennia to do this. This discovery has even more implications than the discovery of new geometries because all people use arithmetic.This book provides a detailed exposition of the theory of non-Diophantine arithmetics and its various applications. Reading this book, the reader will see that on the one hand, non-Diophantine arithmetics continue the ancient tradition of operating with numbers while on the other hand, they introduce extremely original and innovative ideas.
Download or read book Mathematical Cranks written by Underwood Dudley and published by American Mathematical Soc.. This book was released on 2019-07-11 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: A delightful collection of articles about people who claim they have achieved the mathematically impossible (squaring the circle, duplicating the cube); people who think they have done something they have not (proving Fermat's Last Theorem); people who pray in matrices; people who find the American Revolution ruled by the number 57; people who have in common eccentric mathematical views, some mild (thinking we should count by 12s instead of 10s), some bizarre (thinking that second-order differential equations will solve all problems of economics, politics and philosophy). This is a truly uniqu.
Download or read book Routes to the Information Revolution written by Alexander Arbel and published by Cambridge Scholars Publishing. This book was released on 2019-03-18 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a precise and comprehensive history of the digital computer. It is the first collection of available information about the digital computer, beginning with the philosophical and logical advancements in the early 20th century that led to it. The book explores the histories and stories of the computer, tracing its roots and routes. It examines and analyzes commonly accepted views on the digital computer and its development, and offers clearer and more accurate alternatives to them. Its approach, though dealing with the introduction and development of the digital computer, is applicable to the history of technology in general. The central question considered here is, why were the automatic digital program-controlled calculating devices developed simultaneously in Germany, the USA and the UK during the period 1935-1945? Astonishingly, the technologies, ideas, calculating means and calculating techniques existed and were available long before the development of the automatic digital program-controlled calculating device. However, only during the period 1935-1945 did they materialize. Ideas that may be viewed as attempts to develop this type of device began early in the modern era. Babbage (1834) and Ludgate (1909) took the first steps and constructed devices that may be viewed as something like computers. Nevertheless, the concrete fulfillment and practical use of these ideas was accomplished only in the period of 1935-1945, by a group of developers who acted in ignorance of what was done before. This book opens with a detailed discussion of these processes.
Download or read book Knotted Doughnuts and Other Mathematical Entertainments written by Martin Gardner and published by American Mathematical Soc.. This book was released on 2020-10-06 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one--before Gardner--had written about mathematics like this. They continue to be a marvel. This is the original 1986 edition and contains columns published from 1972-1974.
Download or read book Small Press Record of Books in Print written by Len Fulton and published by . This book was released on 1991 with total page 1088 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Holding On to Reality written by Albert Borgmann and published by University of Chicago Press. This book was released on 2007-12-01 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Holding On to Reality is a brilliant history of information, from its inception in the natural world to its role in the transformation of culture to the current Internet mania and is attendant assets and liabilities. Drawing on the history of ideas, the details of information technology, and the boundaries of the human condition, Borgmann illuminates the relationship between things and signs, between reality and information. "[Borgmann] has offered a stunningly clear definition of information in Holding On to Reality. . . . He leaves room for little argument, unless one wants to pose the now vogue objection: I guess it depends on what you mean by nothing."—Paul Bennett, Wired "A superb anecdotal analysis of information for a hype-addled age."—New Scientist "This insightful and poetic reflection on the changing nature of information is a wonderful antidote to much of the current hype about the 'information revolution.' Borgmann reminds us that whatever the reality of our time, we need 'a balance of signs and things' in our lives."—Margaret Wertheim, LA Weekly
Download or read book The Mathematics Enthusiast written by Bharath Sriraman and published by IAP. This book was released on 2014-12-01 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics Enthusiast (TME) is an eclectic internationally circulated peer reviewed journal which focuses on mathematics content, mathematics education research, innovation, interdisciplinary issues and pedagogy. The journal exists as an independent entity. It is published on a print?on?demand basis by Information Age Publishing and the electronic version is hosted by the Department of Mathematical Sciences? University of Montana. The journal is not affiliated to nor subsidized by any professional organizations but supports PMENA [Psychology of Mathematics Education? North America] through special issues on various research topics.
Download or read book The Humans written by Matt Haig and published by Simon and Schuster. This book was released on 2013-07-02 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regarding humans unfavorably upon arriving on Earth, a reluctant extraterrestrial assumes the identity of a Cambridge mathematician before realizing that there is more to the human race than he suspected.