Mathematics Of The Incas

Author: Marcia Ascher
Publisher: Courier Corporation
ISBN: 0486152707
Size: 10.11 MB
Format: PDF, Docs
View: 1622
Download
Unique, thought-provoking study discusses quipu, an accounting system employing knotted, colored cords, used by Incas. Cultural context, mathematics involved, and even how to make a quipu. Over 125 illustrations.

Sherlock Holmes In Babylon

Author: Marlow Anderson
Publisher: MAA
ISBN: 9780883855461
Size: 43.55 MB
Format: PDF, ePub
View: 4905
Download
Collection of essays on the history of mathematics by distinguished authorities.

Introduction To Cultural Mathematics

Author: Thomas E. Gilsdorf
Publisher: John Wiley & Sons
ISBN: 111811552X
Size: 79.80 MB
Format: PDF, Docs
View: 2065
Download
"The topic of cultural mathematics (also called ethnomathematics) is a fascinating topic about the human aspects of mathematics, and it is easy to ask readers to participate in the topic by thinking about mathematics from their own perspectives. This book has two main parts, and Part I consists of several chapters that describe the major concepts of cultural mathematics. The topics include: cultural aspects of mathematics, numeration and number symbols, kinship relations, art and decoration, games and divination, and calendars. Part II includes two chapters consisting of case studies. The cultures studied are the Otomies of central Mexico and the Incas of South America. In these chapters, the concepts from Part I are applied to the particular culture, in order to put all the concepts together in one context. Each chapter concludes with exercises, followed by further notes about the topics discussed in that chapter. Hints and comments about the exercises are also provided at the end of the book. This book is roughly at the level of a reader who has taken college algebra; however, the most important prerequisite is an interest in the connections between mathematics and culture"--

Mathematics Elsewhere

Author: Marcia Ascher
Publisher: Princeton University Press
ISBN: 0691187649
Size: 19.85 MB
Format: PDF, ePub, Docs
View: 1583
Download
Mathematics Elsewhere is a fascinating and important contribution to a global view of mathematics. Presenting mathematical ideas of peoples from a variety of small-scale and traditional cultures, it humanizes our view of mathematics and expands our conception of what is mathematical. Through engaging examples of how particular societies structure time, reach decisions about the future, make models and maps, systematize relationships, and create intriguing figures, Marcia Ascher demonstrates that traditional cultures have mathematical ideas that are far more substantial and sophisticated than is generally acknowledged. Malagasy divination rituals, for example, rely on complex algebraic algorithms. And some cultures use calendars far more abstract and elegant than our own. Ascher also shows that certain concepts assumed to be universal--that time is a single progression, for instance, or that equality is a static relationship--are not. The Basque notion of equivalence, for example, is a dynamic and temporal one not adequately captured by the familiar equal sign. Other ideas taken to be the exclusive province of professionally trained Western mathematicians are, in fact, shared by people in many societies. The ideas discussed come from geographically varied cultures, including the Borana and Malagasy of Africa, the Tongans and Marshall Islanders of Oceania, the Tamil of South India, the Basques of Western Europe, and the Balinese and Kodi of Indonesia. This book belongs on the shelves of mathematicians, math students, and math educators, and in the hands of anyone interested in traditional societies or how people think. Illustrating how mathematical ideas play a vital role in diverse human endeavors from navigation to social interaction to religion, it offers--through the vehicle of mathematics--unique cultural encounters to any reader.

The Social Life Of Numbers

Author: Gary Urton
Publisher: University of Texas Press
ISBN: 0292786840
Size: 20.70 MB
Format: PDF, Kindle
View: 5366
Download
Unraveling all the mysteries of the khipu—the knotted string device used by the Inka to record both statistical data and narrative accounts of myths, histories, and genealogies—will require an understanding of how number values and relations may have been used to encode information on social, familial, and political relationships and structures. This is the problem Gary Urton tackles in his pathfinding study of the origin, meaning, and significance of numbers and the philosophical principles underlying the practice of arithmetic among Quechua-speaking peoples of the Andes. Based on fieldwork in communities around Sucre, in south-central Bolivia, Urton argues that the origin and meaning of numbers were and are conceived of by Quechua-speaking peoples in ways similar to their ideas about, and formulations of, gender, age, and social relations. He also demonstrates that their practice of arithmetic is based on a well-articulated body of philosophical principles and values that reflects a continuous attempt to maintain balance, harmony, and equilibrium in the material, social, and moral spheres of community life.

A History Of Mathematics

Author: Victor J. Katz
Publisher: Addison-Wesley Longman
ISBN:
Size: 58.23 MB
Format: PDF, ePub, Docs
View: 6800
Download
Key Message: A History of Mathematics, Third Edition, provides a solid background in the history of mathematics, helping readers gain a deeper understanding of mathematical concepts in their historical context. This book's global perspective covers how contributions from Chinese, Indian, and Islamic mathematicians shaped our modern understanding of mathematics. This book also includes discussions of important historical textbooks and primary sources to help readers further understand the development of modern mathematics. Key Topics: Ancient Mathematics: Egypt and Mesopotamia, The Beginnings of Mathematics in Greece, Euclid, Archimedes and Apollonius, Mathematical Methods in Hellenistic Times, The Final Chapter of Greek Mathematics; Medieval Mathematics: Ancient and Medieval China, Ancient and Medieval India, The Mathematics of Islam, Medieval Europe, Mathematics Elsewhere; Early Modern Mathematics: Algebra in the Renaissance, Mathematical Methods in the Renaissance, Geometry, Algebra and Probability in the Seventeenth Century, The Beginnings of Calculus, Newton and Leibniz; Modern Mathematics: Analysis in the Eighteenth Century, Probability and Statistics in the Eighteenth Century, Algebra and Number Theory in the Eighteenth Century, Geometry in the Eighteenth Century, Algebra and Number Theory in the Nineteenth Century, Analysis in the Nineteenth Century, Probability and Statistics in the Nineteenth Century, Geometry in the Nineteenth Century, Aspects of the Twentieth Century Market: For all readers interested in the history of mathematics.

The Oxford Handbook Of The Archaeology Of Death And Burial

Author: Sarah Tarlow
Publisher: OUP Oxford
ISBN: 0191650390
Size: 52.37 MB
Format: PDF, ePub, Docs
View: 3370
Download
The Oxford Handbook of the Archaeology of Death and Burial reviews the current state of mortuary archaeology and its practice, highlighting its often contentious place in the modern socio-politics of archaeology. It contains forty-four chapters which focus on the history of the discipline and its current scientific techniques and methods. Written by leading, international scholars in the field, it derives its examples and case studies from a wide range of time periods, such as the middle palaeolithic to the twentieth century, and geographical areas which include Europe, North and South America, Africa, and Asia. Combining up-to-date knowledge of relevant archaeological research with critical assessments of the theme and an evaluation of future research trajectories, it draws attention to the social, symbolic, and theoretical aspects of interpreting mortuary archaeology. The volume is well-illustrated with maps, plans, photographs, and illustrations and is ideally suited for students and researchers.