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A Brief Hfistory Of Arthimetic During The Middle Ages
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Book Synopsis Numerals and Arithmetic in the Middle Ages by : Charles Burnett
Download or read book Numerals and Arithmetic in the Middle Ages written by Charles Burnett and published by Taylor & Francis. This book was released on 2024-10-28 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, the third by Charles Burnett in the Variorum series, brings together articles on the different numeral forms used in the Middle Ages, and their use in mathematical and other contexts. Some pieces study the introduction of Hindu-Arabic numerals into Western Europe, documenting, in more detail than anywhere else, the different forms in which they are found, before they acquired the standard shapes with which we are familiar today. Others deal with experiments with other forms of numeration within Latin script: e.g., using the first nine Roman numerals as symbols with place value, abbreviating the Roman numerals, and using the Latin letters as numerals. The author discusses how different types of numerals are used for different purposes, and the application of numerals to the abacus, and to calculation with pen and ink. The studies include the critical edition of several Latin texts.
Book Synopsis A History of Mathematics by : Florian Cajori
Download or read book A History of Mathematics written by Florian Cajori and published by . This book was released on 1913 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Brief History of Mathematics by : Karl Fink
Download or read book A Brief History of Mathematics written by Karl Fink and published by . This book was released on 1903 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Brief History of Mathematics by : Karl Fink
Download or read book A Brief History of Mathematics written by Karl Fink and published by Cosimo, Inc.. This book was released on 2007-04-01 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Brief History of Mathematics is the only published work of German doctor KARL FINK (1851-1898), translated in this edition by WOOSTER WOODRUFF BEMAN (1850-1922) and DAVID EUGENE SMITH (1860-1944). Written for both math students and professors, it is an introduction to the history of math, concerned with the evolution from number systems to symbols, arithmetic, algebra, geometry, and trigonometry. In order to keep his book short and to the point, Fink omits the usual biographies of great mathematicians because while he feels such biographies give a human touch to what is normally considered a cold science, Fink wished to help students be better mathematicians, which requires understanding how the discipline was built up, not necessarily who did it.
Book Synopsis A Brief History of the Middle Ages by : Philip Myers
Download or read book A Brief History of the Middle Ages written by Philip Myers and published by Endymion Press. This book was released on 2018-03-10 with total page 67 pages. Available in PDF, EPUB and Kindle. Book excerpt: After the death of Charlemagne and the partition of his great empire among his feeble successors, it seemed as though the world was again falling back into chaos. The bonds of society seemed entirely broken. The strong oppressed the weak; the nobles became highway-robbers and marauders.
Book Synopsis A Brief History of Mathematical Thought by : Luke Heaton
Download or read book A Brief History of Mathematical Thought written by Luke Heaton and published by Robinson. This book was released on 2015-04-02 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is a product of human culture which has developed along with our attempts to comprehend the world around us. In A Brief History of Mathematical Thought, Luke Heaton explores how the language of mathematics has evolved over time, enabling new technologies and shaping the way people think. From stone-age rituals to algebra, calculus, and the concept of computation, Heaton shows the enormous influence of mathematics on science, philosophy and the broader human story. The book traces the fascinating history of mathematical practice, focusing on the impact of key conceptual innovations. Its structure of thirteen chapters split between four sections is dictated by a combination of historical and thematic considerations. In the first section, Heaton illuminates the fundamental concept of number. He begins with a speculative and rhetorical account of prehistoric rituals, before describing the practice of mathematics in Ancient Egypt, Babylon and Greece. He then examines the relationship between counting and the continuum of measurement, and explains how the rise of algebra has dramatically transformed our world. In the second section, he explores the origins of calculus and the conceptual shift that accompanied the birth of non-Euclidean geometries. In the third section, he examines the concept of the infinite and the fundamentals of formal logic. Finally, in section four, he considers the limits of formal proof, and the critical role of mathematics in our ongoing attempts to comprehend the world around us. The story of mathematics is fascinating in its own right, but Heaton does more than simply outline a history of mathematical ideas. More importantly, he shows clearly how the history and philosophy of maths provides an invaluable perspective on human nature.
Book Synopsis A Brief History of Numbers by : Leo Corry
Download or read book A Brief History of Numbers written by Leo Corry and published by OUP Oxford. This book was released on 2015-08-27 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The world around us is saturated with numbers. They are a fundamental pillar of our modern society, and accepted and used with hardly a second thought. But how did this state of affairs come to be? In this book, Leo Corry tells the story behind the idea of number from the early days of the Pythagoreans, up until the turn of the twentieth century. He presents an overview of how numbers were handled and conceived in classical Greek mathematics, in the mathematics of Islam, in European mathematics of the middle ages and the Renaissance, during the scientific revolution, all the way through to the mathematics of the 18th to the early 20th century. Focusing on both foundational debates and practical use numbers, and showing how the story of numbers is intimately linked to that of the idea of equation, this book provides a valuable insight to numbers for undergraduate students, teachers, engineers, professional mathematicians, and anyone with an interest in the history of mathematics.
Book Synopsis Reason and Society in the Middle Ages by : Alexander Murray
Download or read book Reason and Society in the Middle Ages written by Alexander Murray and published by Oxford University Press, USA. This book was released on 1978 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concentrates on the 250 years beteen the late 11th and early 14th centuries and studies two key facets of the rationalistic tradition.
Book Synopsis Making up Numbers: A History of Invention in Mathematics by : Ekkehard Kopp
Download or read book Making up Numbers: A History of Invention in Mathematics written by Ekkehard Kopp and published by Open Book Publishers. This book was released on 2020-10-23 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.
Download or read book Euclid's Elements written by Euclid and published by . This book was released on 2002 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Book Synopsis A Short Account of the History of Mathematics by : Walter William Rouse Ball
Download or read book A Short Account of the History of Mathematics written by Walter William Rouse Ball and published by . This book was released on 1908 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Founders of the Middle Ages by : Edward Kennard Rand
Download or read book Founders of the Middle Ages written by Edward Kennard Rand and published by . This book was released on 1928 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The chapters of this book were delivered as lectures before the Lowell Institute of Boston in January and February, 1928"--Pref. "List of books": pages [285]-286. The church and pagan culture: the problem; the solution.--St. Ambrose, the mystic.--St. Jerome the humanist.--Boethius, the first of the scholastics.--The new poetry.--The new education.--St. Augustine and Dante.
Book Synopsis The Development of Mathematics in Medieval Europe by : Menso Folkerts
Download or read book The Development of Mathematics in Medieval Europe written by Menso Folkerts and published by Taylor & Francis. This book was released on 2024-10-28 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Development of Mathematics in Medieval Europe complements the previous collection of articles by Menso Folkerts, Essays on Early Medieval Mathematics, and deals with the development of mathematics in Europe from the 12th century to about 1500. In the 12th century European learning was greatly transformed by translations from Arabic into Latin. Such translations in the field of mathematics and their influence are here described and analysed, notably al-Khwarizmi's "Arithmetic" -- through which Europe became acquainted with the Hindu-Arabic numerals -- and Euclid's "Elements". Five articles are dedicated to Johannes Regiomontanus, perhaps the most original mathematician of the 15th century, and to his discoveries in trigonometry, algebra and other fields. The knowledge and application of Euclid's "Elements" in 13th- and 15th-century Italy are discussed in three studies, while the last article treats the development of algebra in South Germany around 1500, where much of the modern symbolism used in algebra was developed.
Book Synopsis Science in the Middle Ages by : David C. Lindberg
Download or read book Science in the Middle Ages written by David C. Lindberg and published by University of Chicago Press. This book was released on 1978 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, sixteen leading scholars address themselves to providing as full an account of medieval science as current knowledge permits. Designed to be introductory, the authors have directed their chapters to a beginning audience of diverse readers.
Book Synopsis How Mathematics Happened by : Peter S. Rudman
Download or read book How Mathematics Happened written by Peter S. Rudman and published by Prometheus Books. This book was released on 2009-12-30 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this fascinating discussion of ancient mathematics, author Peter Rudman does not just chronicle the archeological record of what mathematics was done; he digs deeper into the more important question of why it was done in a particular way. Why did the Egyptians use a bizarre method of expressing fractions? Why did the Babylonians use an awkward number system based on multiples of 60? Rudman answers such intriguing questions, arguing that some mathematical thinking is universal and timeless. The similarity of the Babylonian and Mayan number systems, two cultures widely separated in time and space, illustrates the argument. He then traces the evolution of number systems from finger counting in hunter-gatherer cultures to pebble counting in herder-farmer cultures of the Nile and Tigris-Euphrates valleys, which defined the number systems that continued to be used even after the invention of writing. With separate chapters devoted to the remarkable Egyptian and Babylonian mathematics of the era from about 3500 to 2000 BCE, when all of the basic arithmetic operations and even quadratic algebra became doable, Rudman concludes his interpretation of the archeological record. Since some of the mathematics formerly credited to the Greeks is now known to be a prior Babylonian invention, Rudman adds a chapter that discusses the math used by Pythagoras, Eratosthenes, and Hippasus, which has Babylonian roots, illustrating the watershed difference in abstraction and rigor that the Greeks introduced. He also suggests that we might improve present-day teaching by taking note of how the Greeks taught math. Complete with sidebars offering recreational math brainteasers, this engrossing discussion of the evolution of mathematics will appeal to both scholars and lay readers with an interest in mathematics and its history.
Book Synopsis A Brief History Of Mathematics For Curious Minds by : Krzysztof R Apt
Download or read book A Brief History Of Mathematics For Curious Minds written by Krzysztof R Apt and published by World Scientific. This book was released on 2023-11-17 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a short and accessible account of the history of mathematics, written for the intelligent layman to gain a better appreciation of its beauty, relevance, and place in history. It traces the development of the subject throughout the centuries, starting with the so-called Lebombo bone, the oldest known mathematical object that was estimated to be at least 43,000 years old, and ending with the 21st century.The presentation is informal, and no prior knowledge of mathematics is needed to enjoy the systematic chronological insights. A collection of appendices is included for more technical material — though still at the level of secondary school mathematics — and is concerned with the historically important proofs and concepts that can be explained in a simple way.
Book Synopsis A Brief History of the Metric System by : Carmen J. Giunta
Download or read book A Brief History of the Metric System written by Carmen J. Giunta and published by Springer Nature. This book was released on 2023-04-15 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book succinctly traces the history of the metric system from early modern proposals of decimal measures, to the birth of the system in Revolutionary France, through its formal international adoption under the supervision of an international General Committee of Weights and Measures (CGPM), to its later expansion into the International System of Units (SI), currently formulated entirely in terms of physical constants. The wide range of human activities that employ weights and measures, from practical commerce to esoteric science, influenced both the development and the diffusion of the metric system. The roles of constants of nature in the formulation of the 18th-century metric system and in the 21st-century reformulation of the SI are described. Finally, the status of the system in the United States, the last major holdout against its everyday use, is also discussed.
