Fibonaccis De Practica Geometrie

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Fibonacci's De Practica Geometrie

Author : Barnabas Hughes
Publisher : Springer Science & Business Media
ISBN 13 : 0387729313
Total Pages : 440 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Fibonacci's De Practica Geometrie by : Barnabas Hughes

Download or read book Fibonacci's De Practica Geometrie written by Barnabas Hughes and published by Springer Science & Business Media. This book was released on 2007-12-15 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leonardo da Pisa, perhaps better known as Fibonacci (ca. 1170 – ca. 1240), selected the most useful parts of Greco-Arabic geometry for the book known as De Practica Geometrie. This translation offers a reconstruction of De Practica Geometrie as the author judges Fibonacci wrote it, thereby correcting inaccuracies found in numerous modern histories. It is a high quality translation with supplemental text to explain text that has been more freely translated. A bibliography of primary and secondary resources follows the translation, completed by an index of names and special words.

Sourcebook in the Mathematics of Medieval Europe and North Africa

Author : Victor J. Katz
Publisher : Princeton University Press
ISBN 13 : 0691156859
Total Pages : 592 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Sourcebook in the Mathematics of Medieval Europe and North Africa by : Victor J. Katz

Download or read book Sourcebook in the Mathematics of Medieval Europe and North Africa written by Victor J. Katz and published by Princeton University Press. This book was released on 2016-11-01 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Medieval Europe was a meeting place for the Christian, Jewish, and Islamic civilizations, and the fertile intellectual exchange of these cultures can be seen in the mathematical developments of the time. This sourcebook presents original Latin, Hebrew, and Arabic sources of medieval mathematics, and shows their cross-cultural influences. Most of the Hebrew and Arabic sources appear here in translation for the first time. Readers will discover key mathematical revelations, foundational texts, and sophisticated writings by Latin, Hebrew, and Arabic-speaking mathematicians, including Abner of Burgos's elegant arguments proving results on the conchoid—a curve previously unknown in medieval Europe; Levi ben Gershon’s use of mathematical induction in combinatorial proofs; Al-Mu’taman Ibn Hūd’s extensive survey of mathematics, which included proofs of Heron’s Theorem and Ceva’s Theorem; and Muhyī al-Dīn al-Maghribī’s interesting proof of Euclid’s parallel postulate. The book includes a general introduction, section introductions, footnotes, and references. The Sourcebook in the Mathematics of Medieval Europe and North Africa will be indispensable to anyone seeking out the important historical sources of premodern mathematics.

Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean

Author : Victor J. Katz
Publisher : Princeton University Press
ISBN 13 : 0691202818
Total Pages : 720 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean by : Victor J. Katz

Download or read book Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean written by Victor J. Katz and published by Princeton University Press. This book was released on 2024-09-17 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In recent decades, there has been extensive research on Greek mathematics that has considerably enlarged the scope of this area of inquiry. Traditionally, "Greek mathematics" has referred to the axiomatic work of Archimedes, Apollonius, and others in the first three centuries BCE. However, there is a wide body of mathematical work that appeared in the eastern Mediterranean during the time it was under Greek influence (from approximately 400 BCE to 600 CE), which remains under-explored in the existing scholarship. This sourcebook provides an updated look at Greek mathematics, bringing together classic Greek texts with material from lesser-known authors, as well as newly uncovered texts that have been omitted in previous scholarship. The book adopts a broad scope in defining mathematical practice, and as such, includes fields such as music, optics, and architecture. It includes important sources written in languages other than Greek in the eastern Mediterranean area during the period from 400 BCE to 600 CE, which show some influence from Greek culture. It also includes passages that highlight the important role mathematics played in philosophy, pedagogy, and popular culture. The book is organized topically; chapters include arithmetic, plane geometry, astronomy, and philosophy, literature, and education. Within each chapter, the (translated) texts are organized chronologically. The book weaves together ancient commentary on classic Greek works with the works themselves to show how the understanding of mathematical ideas changed over the centuries"--

Let History into the Mathematics Classroom

Author : Évelyne Barbin
Publisher : Springer
ISBN 13 : 3319571508
Total Pages : 159 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Let History into the Mathematics Classroom by : Évelyne Barbin

Download or read book Let History into the Mathematics Classroom written by Évelyne Barbin and published by Springer. This book was released on 2017-10-27 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together 10 experiments which introduce historical perspectives into mathematics classrooms for 11 to 18-year-olds. The authors suggest that students should not only read ancient texts, but also should construct, draw and manipulate. The different chapters refer to ancient Greek, Indian, Chinese and Arabic mathematics as well as to contemporary mathematics. Students are introduced to well-known mathematicians—such as Gottfried Leibniz and Leonard Euler—as well as to less famous practitioners and engineers. Always, there is the attempt to associate the experiments with their scientific and cultural contexts. One of the main values of history is to show that the notions and concepts we teach were invented to solve problems. The different chapters of this collection all have, as their starting points, historic problems—mathematical or not. These are problems of exchanging and sharing, of dividing figures and volumes as well as engineers’ problems, calculations, equations and congruence. The mathematical reasoning which accompanies these actions is illustrated by the use of drawings, folding, graphical constructions and the production of machines.

Finding Fibonacci

Author : Keith Devlin
Publisher : Princeton University Press
ISBN 13 : 0691192308
Total Pages : 250 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Finding Fibonacci by : Keith Devlin

Download or read book Finding Fibonacci written by Keith Devlin and published by Princeton University Press. This book was released on 2019-07-09 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 2000, Keith Devlin set out to research the life and legacy of the medieval mathematician Leonardo of Pisa, popularly known as Fibonacci, whose book Liber abbaci has quite literally affected the lives of everyone alive today. Although he is most famous for the Fibonacci numbers--which, it so happens, he didn't invent--Fibonacci's greatest contribution was as an expositor of mathematical ideas at a level ordinary people could understand. In 1202, Liber abbaci--the "Book of Calculation"--Introduced modern arithmetic to the Western world. Yet Fibonacci was long forgotten after his death, and it was not until the 1960s that his true achievements were finally recognized. Finding Fibonacci is Devlin's compelling firsthand account of his ten-year quest to tell Fibonacci's story. Devlin, a math expositor himself, kept a diary of the undertaking, which he draws on here to describe the project's highs and lows, its false starts and disappointments, the tragedies and unexpected turns, some hilarious episodes, and the occasional lucky breaks. You will also meet the unique individuals Devlin encountered along the way, people who, each for their own reasons, became fascinated by Fibonacci, from the Yale professor who traced modern finance back to Fibonacci to the Italian historian who made the crucial archival discovery that brought together all the threads of Fibonacci's astonishing story. Fibonacci helped to revive the West as the cradle of science, technology, and commerce, yet he vanished from the pages of history. This is Devlin's search to find him. -- Back cover.

The Mathematical Works of Leon Battista Alberti

Author : Kim Williams
Publisher : Springer Science & Business Media
ISBN 13 : 3034604742
Total Pages : 228 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis The Mathematical Works of Leon Battista Alberti by : Kim Williams

Download or read book The Mathematical Works of Leon Battista Alberti written by Kim Williams and published by Springer Science & Business Media. This book was released on 2010-09-08 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leon Battista Alberti was an outstanding polymath of the fifteenth century, alongside Piero della Francesca and before Leonardo da Vinci. While his contributions to architecture and the visual arts are well known and available in good English editions, and much of his literary and social writings are also available in English, his mathematical works are not well represented in readily available, accessible English editions have remained accessible only to specialists. The four treatises included here – Ludi matematici, De Componendis Cifris, Elementi di pittura and De lunularum quadratura – are extremely valuable in rounding out the portrait of this multitalented thinker. The treatises are presented in modern English translations, with commentary that is intended to make evident the depths of Alberti’s knowledge as well as address the treatises’ mathematical, historical and cultural context, their classical Greek roots, and their relationship to later works by Renaissance thinkers.

Research in History and Philosophy of Mathematics

Author : Maria Zack
Publisher : Springer Nature
ISBN 13 : 3031461932
Total Pages : 190 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Research in History and Philosophy of Mathematics by : Maria Zack

Download or read book Research in History and Philosophy of Mathematics written by Maria Zack and published by Springer Nature. This book was released on 2024-01-18 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 8 papers that have been collected by the Canadian Society for History and Philosophy of Mathematics. It showcases rigorously reviewed contemporary scholarship on an interesting variety of topics in the history and philosophy of mathematics.Some of the topics explored include: A way to rethink how logic is taught to philosophy students by using a rejuvenated version of the Aristotelian idea of an argument schema A quantitative approach using data from Wikipedia to study collaboration between nineteenth-century British mathematicians The depiction and perception of Émilie Du Châtelet’s scientific contributions as viewed through the frontispieces designed for books written by or connected to her A study of the Cambridge Women’s Research Club, a place where British women were able to participate in scholarly scientific discourse in the middle of the twentieth century An examination of the research and writing process of mathematicians by looking at their drafts and other preparatory notes A global history of al-Khwārāzmī’s Kitāb al-jabr wa-l-muqābala as obtained by tracing its reception through numerous translations and commentaries Written by leading scholars in the field, these papers are accessible not only to mathematicians and students of the history and philosophy of mathematics, but also to anyone with a general interest in mathematics.

Selected Essays on Pre- and Early Modern Mathematical Practice

Author : Jens Høyrup
Publisher : Springer Nature
ISBN 13 : 303019258X
Total Pages : 963 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Selected Essays on Pre- and Early Modern Mathematical Practice by : Jens Høyrup

Download or read book Selected Essays on Pre- and Early Modern Mathematical Practice written by Jens Høyrup and published by Springer Nature. This book was released on 2019-09-20 with total page 963 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a broad selection of articles mainly published during the last two decades on a variety of topics within the history of mathematics, mostly focusing on particular aspects of mathematical practice. This book is of interest to, and provides methodological inspiration for, historians of science or mathematics and students of these disciplines.

Distributivity-like Results in the Medieval Traditions of Euclid's Elements

Author : Leo Corry
Publisher : Springer Nature
ISBN 13 : 3030796795
Total Pages : 88 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Distributivity-like Results in the Medieval Traditions of Euclid's Elements by : Leo Corry

Download or read book Distributivity-like Results in the Medieval Traditions of Euclid's Elements written by Leo Corry and published by Springer Nature. This book was released on 2021-11-19 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a fresh view on an important and largely overlooked aspect of the Euclidean traditions in the medieval mathematical texts, particularly concerning the interrelations between geometry and arithmetic, and the rise of algebraic modes of thought. It appeals to anyone interested in the history of mathematics in general and in history of medieval and early modern science.

Selected Regular Lectures from the 12th International Congress on Mathematical Education

Author : Sung Je Cho
Publisher : Springer
ISBN 13 : 3319171879
Total Pages : 917 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Selected Regular Lectures from the 12th International Congress on Mathematical Education by : Sung Je Cho

Download or read book Selected Regular Lectures from the 12th International Congress on Mathematical Education written by Sung Je Cho and published by Springer. This book was released on 2015-07-16 with total page 917 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises the full selected Regular Lectures from the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 4700 experts from 100 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. These selected Regular Lectures present the work of fifty-one prominent mathematics educators from all over the globe. The Lectures cover a wide spectrum of topics, themes and issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.

Handbook of Medieval Culture. Volume 3

Author : Albrecht Classen
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110377616
Total Pages : 748 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Handbook of Medieval Culture. Volume 3 by : Albrecht Classen

Download or read book Handbook of Medieval Culture. Volume 3 written by Albrecht Classen and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-08-31 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: A follow-up publication to the Handbook of Medieval Studies, this new reference work turns to a different focus: medieval culture. Medieval research has grown tremendously in depth and breadth over the last decades. Particularly our understanding of medieval culture, of the basic living conditions, and the specific value system prevalent at that time has considerably expanded, to a point where we are in danger of no longer seeing the proverbial forest for the trees. The present, innovative handbook offers compact articles on essential topics, ideals, specific knowledge, and concepts defining the medieval world as comprehensively as possible. The topics covered in this new handbook pertain to issues such as love and marriage, belief in God, hell, and the devil, education, lordship and servitude, Christianity versus Judaism and Islam, health, medicine, the rural world, the rise of the urban class, travel, roads and bridges, entertainment, games, and sport activities, numbers, measuring, the education system, the papacy, saints, the senses, death, and money.

Plane and Solid Geometry

Author : J.M. Aarts
Publisher : Springer Science & Business Media
ISBN 13 : 0387782419
Total Pages : 357 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Plane and Solid Geometry by : J.M. Aarts

Download or read book Plane and Solid Geometry written by J.M. Aarts and published by Springer Science & Business Media. This book was released on 2009-04-28 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book on Euclidean geometry that covers the standard material in a completely new way, while also introducing a number of new topics that would be suitable as a junior-senior level undergraduate textbook. The author does not begin in the traditional manner with abstract geometric axioms. Instead, he assumes the real numbers, and begins his treatment by introducing such modern concepts as a metric space, vector space notation, and groups, and thus lays a rigorous basis for geometry while at the same time giving the student tools that will be useful in other courses.

Encyclopedia of Renaissance Philosophy

Author : Marco Sgarbi
Publisher : Springer Nature
ISBN 13 : 3319141694
Total Pages : 3618 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Encyclopedia of Renaissance Philosophy by : Marco Sgarbi

Download or read book Encyclopedia of Renaissance Philosophy written by Marco Sgarbi and published by Springer Nature. This book was released on 2022-10-27 with total page 3618 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gives accurate and reliable summaries of the current state of research. It includes entries on philosophers, problems, terms, historical periods, subjects and the cultural context of Renaissance Philosophy. Furthermore, it covers Latin, Arabic, Jewish, Byzantine and vernacular philosophy, and includes entries on the cross-fertilization of these philosophical traditions. A unique feature of this encyclopedia is that it does not aim to define what Renaissance philosophy is, rather simply to cover the philosophy of the period between 1300 and 1650.

Measured Words

Author : Arielle Saiber
Publisher : University of Toronto Press
ISBN 13 : 1487513313
Total Pages : 391 pages
Book Rating : 4.4/5 (875 download)

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Book Synopsis Measured Words by : Arielle Saiber

Download or read book Measured Words written by Arielle Saiber and published by University of Toronto Press. This book was released on 2017-11-29 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Measured Words explores the rich commerce between computation and writing that proliferated in fifteenth- and sixteenth-century Italy. In this captivating and generously illustrated work, Arielle Saiber studies the relationship between number, shape, and the written word in the works of four exceptional thinkers of the time: Leon Battista Alberti, Luca Pacioli, Niccolò Tartaglia, and Giambattista Della Porta. Although these Renaissance humanists came from different social classes and practised the mathematical and literary arts at varying levels of sophistication, they were all guided by a sense that there exist deep ontological and epistemological bonds between computational and verbal thinking and production. Their shared view that a network or continuity exists between the literary arts and mathematics yielded extraordinary results, from Alberti’s treatise on cryptography and Pacioli’s design calculations for the Roman alphabet to Tartaglia’s poetic solutions of cubic equations and Della Porta’s dramatic applications of geometry. Through lively, cogent analysis of these and other related texts of the period, Measured Words presents, literally and figuratively, brilliant examples of what interdisciplinary work can offer us.

The Mathematics of the Heavens and the Earth

Author : Glen Van Brummelen
Publisher : Princeton University Press
ISBN 13 : 1400833310
Total Pages : 352 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis The Mathematics of the Heavens and the Earth by : Glen Van Brummelen

Download or read book The Mathematics of the Heavens and the Earth written by Glen Van Brummelen and published by Princeton University Press. This book was released on 2021-08-10 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of Hipparchus, the Greek astronomer believed to have been the first to make systematic use of trigonometry in the second century BC while studying the motions of the stars. The book traces trigonometry's development into a full-fledged mathematical discipline in India and Islam; explores its applications to such areas as geography and seafaring navigation in the European Middle Ages and Renaissance; and shows how trigonometry retained its ancient roots at the same time that it became an important part of the foundation of modern mathematics. The Mathematics of the Heavens and the Earth looks at the controversies as well, including disputes over whether Hipparchus was indeed the father of trigonometry, whether Indian trigonometry is original or derived from the Greeks, and the extent to which Western science is indebted to Islamic trigonometry and astronomy. The book also features extended excerpts of translations of original texts, and detailed yet accessible explanations of the mathematics in them. No other book on trigonometry offers the historical breadth, analytical depth, and coverage of non-Western mathematics that readers will find in The Mathematics of the Heavens and the Earth.

And I Saw Sequences of Petals and Leaves

Author : Daniele C. Struppa
Publisher : Springer Nature
ISBN 13 : 3031526929
Total Pages : 135 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis And I Saw Sequences of Petals and Leaves by : Daniele C. Struppa

Download or read book And I Saw Sequences of Petals and Leaves written by Daniele C. Struppa and published by Springer Nature. This book was released on with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Beyond the Learned Academy

Author : Philip Beeley
Publisher : Oxford University Press
ISBN 13 : 0198863950
Total Pages : 513 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Beyond the Learned Academy by : Philip Beeley

Download or read book Beyond the Learned Academy written by Philip Beeley and published by Oxford University Press. This book was released on 2024-01-05 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprising fifteen essays by leading authorities in the history of mathematics, this volume aims to exemplify the richness, diversity, and breadth of mathematical practice from the seventeenth century through to the middle of the nineteenth century.