5000 Years of Geometry

Mathematics in History and Culture
Author: Christoph J. Scriba,Peter Schreiber
Publisher: Birkhäuser
ISBN: 3034808984
Category: Mathematics
Page: 626
View: 638
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The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book “5000 Jahre Geometrie,” in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science and engineering. Geometry originated in the ancient cultures along the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in Ancient Greece. Inspired by the Greek mathematics, a new germ of geometry blossomed in the Islamic civilizations. Through the Oriental influence on Spain, this knowledge later spread to Western Europe. Here, as part of the medieval Quadrivium, the understanding of geometry was deepened, leading to a revival during the Renaissance. Together with parallel achievements in India, China, Japan and the ancient American cultures, the European approaches formed the ideas and branches of geometry we know in the modern age: coordinate methods, analytical geometry, descriptive and projective geometry in the 17th an 18th centuries, axiom systems, geometry as a theory with multiple structures and geometry in computer sciences in the 19th and 20th centuries. Each chapter of the book starts with a table of key historical and cultural dates and ends with a summary of essential contents of geometr y in the respective era. Compelling examples invite the reader to further explore the problems of geometry in ancient and modern times. The book will appeal to mathematicians interested in Geometry and to all readers with an interest in cultural history. From letters to the authors for the German language edition I hope it gets a translation, as there is no comparable work. Prof. J. Grattan-Guinness (Middlesex University London) "Five Thousand Years of Geometry" - I think it is the most handsome book I have ever seen from Springer and the inclusion of so many color plates really improves its appearance dramatically! Prof. J.W. Dauben (City University of New York) An excellent book in every respect. The authors have successfully combined the history of geometry with the general development of culture and history. ... The graphic design is also excellent. Prof. Z. Nádenik (Czech Technical University in Prague)

The Learning and Teaching of Geometry in Secondary Schools

A Modeling Perspective
Author: Pat Herbst,Taro Fujita,Stefan Halverscheid,Michael Weiss
Publisher: Taylor & Francis
ISBN: 1351973533
Category: Education
Page: 240
View: 3035
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IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education. The Learning and Teaching of Geometry in Secondary Schools reviews past and present research on the teaching and learning of geometry in secondary schools and proposes an approach for design research on secondary geometry instruction. Areas covered include: teaching and learning secondary geometry through history; the representations of geometric figures; students’ cognition in geometry; teacher knowledge, practice and, beliefs; teaching strategies, instructional improvement, and classroom interventions; research designs and problems for secondary geometry. Drawing on a team of international authors, this new text will be essential reading for experienced teachers of mathematics, graduate students, curriculum developers, researchers, and all those interested in exploring students’ study of geometry in secondary schools.

The Topos of Music I: Theory

Geometric Logic, Classification, Harmony, Counterpoint, Motives, Rhythm
Author: Guerino Mazzola
Publisher: Springer
ISBN: 3319643649
Category: Mathematics
Page: 656
View: 335
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This is the first volume of the second edition of the now classic book “The Topos of Music”. The author explains the theory's conceptual framework of denotators and forms, the classification of local and global musical objects, the mathematical models of harmony and counterpoint, and topologies for rhythm and motives.

The Topos of Music II: Performance

Theory, Software, and Case Studies
Author: Guerino Mazzola
Publisher: Springer
ISBN: 3319644440
Category: Mathematics
Page: 408
View: 2113
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This is the second volume of the second edition of the now classic book “The Topos of Music”. The author explains his theory of musical performance, developed in the language of differential geometry, introducing performance vector fields that generalize tempo and intonation. The author also shows how Rubato, a software platform for composition, analysis, and performance, allows an experimental evaluation of principles of expressive performance theories.

The Topos of Music III: Gestures

Musical Multiverse Ontologies
Author: Guerino Mazzola,René Guitart,Jocelyn Ho,Alex Lubet,Maria Mannone,Matt Rahaim,Florian Thalmann
Publisher: Springer
ISBN: 3319644815
Category: Mathematics
Page: 604
View: 8552
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This is the third volume of the second edition of the now classic book “The Topos of Music”. The authors present gesture theory, including a gesture philosophy for music, the mathematics of gestures, concept architectures and software for musical gesture theory, the multiverse perspective which reveals the relationship between gesture theory and the string theory in theoretical physics, and applications of gesture theory to a number of musical themes, including counterpoint, modulation theory, free jazz, Hindustani music, and vocal gestures.

The Oxford Handbook of the History of Mathematics


Author: Eleanor Robson,Jacqueline Stedall
Publisher: OUP Oxford
ISBN: 0191607444
Category: Mathematics
Page: 926
View: 816
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This Handbook explores the history of mathematics under a series of themes which raise new questions about what mathematics has been and what it has meant to practise it. It addresses questions of who creates mathematics, who uses it, and how. A broader understanding of mathematical practitioners naturally leads to a new appreciation of what counts as a historical source. Material and oral evidence is drawn upon as well as an unusual array of textual sources. Further, the ways in which people have chosen to express themselves are as historically meaningful as the contents of the mathematics they have produced. Mathematics is not a fixed and unchanging entity. New questions, contexts, and applications all influence what counts as productive ways of thinking. Because the history of mathematics should interact constructively with other ways of studying the past, the contributors to this book come from a diverse range of intellectual backgrounds in anthropology, archaeology, art history, philosophy, and literature, as well as history of mathematics more traditionally understood. The thirty-six self-contained, multifaceted chapters, each written by a specialist, are arranged under three main headings: 'Geographies and Cultures', 'Peoples and Practices', and 'Interactions and Interpretations'. Together they deal with the mathematics of 5000 years, but without privileging the past three centuries, and an impressive range of periods and places with many points of cross-reference between chapters. The key mathematical cultures of North America, Europe, the Middle East, India, and China are all represented here as well as areas which are not often treated in mainstream history of mathematics, such as Russia, the Balkans, Vietnam, and South America. A vital reference for graduates and researchers in mathematics, historians of science, and general historians.

Vampires

A bite-sized history
Author: Judyth A McLeod
Publisher: Allen & Unwin
ISBN: 1742662579
Category: Social Science
Page: 240
View: 4538
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Vampires offers a bite-sized overview of the ever-mutating vampire, a phenomenon created by primal human fears of blood-sucking monsters. The book delves into ancient vampiric beliefs including the Chinese hopping vampire Jiangshi and Egyptian goddess Sekhmet, as well as Gothic horrors from the late Middle Ages. The evolution of vampires in literature, film and television is comprehensively covered, from the iconic Dracula tale, Stephen King's Salem's Lot to Stephenie Meyer's 'Twilight' series; Nosferatu, the first Hollywood take on vampires and modern films such as the Blade trilogy and New Moon; and popular TV shows including The Twilight Zone, True Blood and The Vampire Diaries.

Pomegranate

Anatomy of a Divine Remedy
Author: Hassan Amjad
Publisher: Lulu.com
ISBN: 1411662784
Category:
Page: 126
View: 8639
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In this book, I share some of my enthusiasm as to why the pomegranate is a magnificient, trans-cultural, symbolic icon in medicine, health, and mythology.

Gaṇita Bhāratī


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: N.A
View: 8144
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Chinese Culture


Author: N.A
Publisher: N.A
ISBN: N.A
Category: China
Page: N.A
View: 2806
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Исчисление песчинок (Псаммит)


Author: Архимед
Publisher: Рипол Классик
ISBN: 545850500X
Category: Mathematics
Page: 110
View: 7221
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Серия "Классики естествознания". Работа древнегреческого ученого Архимеда, в которой он пытается определить верхнюю грань числа песчинок, которые занимает в своём объёме Вселенная. С этой целью он пробует вычислить размер Вселенной, основываясь на астрономических представлениях того времени, а также изобретает способ наименования очень больших чисел. Работа была написана в виде письма тирану Сиракуз Гелону.

Дизайн привычных вещей


Author: Дональд Норман
Publisher: Litres
ISBN: 5457242978
Category: Business & Economics
Page: 5075
View: 9508
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«Дизайн привычных вещей» – это классическая книга Дональда Нормана о вещах, которые нас окружают, и том, почему они были созданы именно такими.Дональд Норман по полочкам раскладывает десятки предметов, которыми мы пользуемся ежедневно, интересно и аргументированно рассуждая об ошибках, совершенных при их проектировании. Красивое – это далеко не всегда еще и удобное. Порой чайник может быть опасным, а входная дверь способна вывести из состояния душевного равновесия.«Дизайн привычных вещей» – это настоящий справочник дизайнерских находок и ошибок. Книгу стоит прочитать как тем, кто создает дизайн, так и тем, кто его использует. Норман поможет им понять друг друга, делая окружающий мир лучше.

Using and Understanding Mathematics

A Quantitative Reasoning Approach
Author: Jeffrey O. Bennett,William L. Briggs
Publisher: Addison-Wesley
ISBN: 9780321227737
Category: Mathematics
Page: 742
View: 2913
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Most students taking this course do so to fulfill a requirement, but the true benefit of the course is learning how to use and understand mathematics in daily life. This quantitative reasoning text is written expressly for those students, providing them with the mathematical reasoning and quantitative literacy skills they' ll need to make good decisions throughout their lives. Common-sense applications of mathematics engage students while underscoring the practical, essential uses of math.

The Near East In History A 5000 Year Story


Author: Philip K. Hitti
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 319
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An Introductory History of Education


Author: D. N. Sifuna,James E. Otiende
Publisher: University of Nairobi Press
ISBN: N.A
Category: Education
Page: 240
View: 1476
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This book makes a survey of the development of educational theory and practice in the western world up to the twentieth century. A number of educational systems are selected for discussion. There is reference to prehistoric, ancient Egyptian, Indian, Chinese and Hebraic education, all of which have had an important impact on Greek education, Hellenistic education ideals in the Roman Empire, medieval education and the rise of universities. The book gives due consideration to African indigenous education; developments in education in Africa within the colonial context; and post independence educational activities in Africa. The historical context of educational events in Kenya is duly highlighted, leading to the era of the 8-4-4 system of education. A chapter in Islamic Education in Africa is also included with a discussion on the Integration of Islamic and Western Education.

The world of learning, 2001


Author: 51st Ed
Publisher: Routledge
ISBN: 9781857430844
Category: Education
Page: 2192
View: 3701
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The World Of Learning 2000 lists some 30,000 academic institutions and details more than 200,000 staff and officials. It provides extensive coverage of over 3,000 universities, colleges and other centers of learning. It has information on over 400 international cultural, scientific and educational organizations.

Israel Government Year Book


Author: Israel,Israel. Merkaz ha-hasbarah,Israel. Miśrad ha-ḥinukh ṿeha-tarbut
Publisher: N.A
ISBN: N.A
Category: Israel
Page: N.A
View: 3369
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The World Book encyclopedia


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Encyclopedias and dictionaries
Page: N.A
View: 7150
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An encyclopedia designed especially to meet the needs of elementary, junior high, and senior high school students.