Author : Marcia Ascher
Publisher : Courier Corporation
Page : 180 pages
File Size : 31,29 MB
Release : 2013-01-02
Category : Science
ISBN : 0486152707
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.
Author : Thomas E. Gilsdorf
Publisher : John Wiley & Sons
Page : 323 pages
File Size : 22,13 MB
Release : 2012-04-17
Category : Mathematics
ISBN : 111811552X
INTRODUCTION TO CULTURAL MATHEMATICS Challenges readers to think creatively about mathematics and ponder its role in their own daily lives Cultural mathematics, or ethnomathematics as it is also known, studies the relationship between mathematics and culture—with the ultimate goal of contributing to an appreciation of the connection between the two. Introduction to Cultural Mathematics: With Case Studies in the Otomies and Incas integrates both theoretical and applied aspects of the topic, promotes discussions on the development of mathematical concepts, and provides a comprehensive reference for teaching and learning about multicultural mathematical practices. This illuminating book provides a nontraditional, evidence-based approach to mathematics that promotes diversity and respect for cultural heritages. Part One covers such major concepts as cultural aspects of mathematics, numeration and number symbols, kinship relations, art and decoration, games, divination, and calendars. Part Two takes those concepts and applies them to fascinating case studies of both the Otomies of Central Mexico and the Incas of South America. Throughout the book, numerous illustrations, examples, and motivational questions promote an interactive understanding of the topic. Each chapter begins with questions that encourage a cooperative, inquiry-based approach to learning and concludes with a series of exercises that allow readers to test their understanding of the presented material. Introduction to Cultural Mathematics is an ideal book for courses on cultural mathematics, the history of mathematics, and cultural studies. The book is also a valuable resource and reference for anyone interested in the connections between mathematics, culture, anthropology, and history.
Author : David Lippman
Publisher :
Page : 0 pages
File Size : 47,59 MB
Release : 2012-09-07
Category : Electronic books
ISBN : 9781479276530
Math in Society is a survey of contemporary mathematical topics, appropriate for a college-level topics course for liberal arts major, or as a general quantitative reasoning course.This book is an open textbook; it can be read free online at http://www.opentextbookstore.com/mathinsociety/. Editable versions of the chapters are available as well.
Author : Marcia Ascher
Publisher :
Page : 190 pages
File Size : 24,31 MB
Release : 1981
Category : History
ISBN :
Author : Michael P. Closs
Publisher : University of Texas Press
Page : 444 pages
File Size : 43,7 MB
Release : 2010-06-28
Category : Mathematics
ISBN : 0292789815
There is no question that native cultures in the New World exhibit many forms of mathematical development. This Native American mathematics can best be described by considering the nature of the concepts found in a variety of individual New World cultures. Unlike modern mathematics in which numbers and concepts are expressed in a universal mathematical notation, the numbers and concepts found in native cultures occur and are expressed in many distinctive ways. Native American Mathematics, edited by Michael P. Closs, is the first book to focus on mathematical development indigenous to the New World. Spanning time from the prehistoric to the present, the thirteen essays in this volume attest to the variety of mathematical development present in the Americas. The data are drawn from cultures as diverse as the Ojibway, the Inuit (Eskimo), and the Nootka in the north; the Chumash of Southern California; the Aztec and the Maya in Mesoamerica; and the Inca and Jibaro of South America. Among the strengths of this collection are this diversity and the multidisciplinary approaches employed to extract different kinds of information. The distinguished contributors include mathematicians, linguists, psychologists, anthropologists, and archaeologists.
Author : Gary Urton
Publisher : University of Texas Press
Page : 217 pages
File Size : 12,6 MB
Release : 2003-08-01
Category : Social Science
ISBN : 0292785402
In an age when computers process immense amounts of information by the manipulation of sequences of 1s and 0s, it remains a frustrating mystery how prehistoric Inka recordkeepers encoded a tremendous variety and quantity of data using only knotted and dyed strings. Yet the comparison between computers and khipu may hold an important clue to deciphering the Inka records. In this book, Gary Urton sets forth a pathbreaking theory that the manipulation of fibers in the construction of khipu created physical features that constitute binary-coded sequences which store units of information in a system of binary recordkeeping that was used throughout the Inka empire. Urton begins his theory with the making of khipu, showing how at each step of the process binary, either/or choices were made. He then investigates the symbolic components of the binary coding system, the amount of information that could have been encoded, procedures that may have been used for reading the khipu, the nature of the khipu signs, and, finally, the nature of the khipu recording system itself—emphasizing relations of markedness and semantic coupling. This research constitutes a major step forward in building a unified theory of the khipu system of information storage and communication based on the sum total of construction features making up these extraordinary objects.
Author : Brian Evans
Publisher : John Wiley & Sons
Page : 197 pages
File Size : 24,1 MB
Release : 2014-02-24
Category : Mathematics
ISBN : 1118853970
Throughout the book, readers take a journey throughout time and observe how people around the world have understood these patterns of quantity, structure, and dimension around them. The Development of Mathematics Throughout the Centuries: A Brief History in a Cultural Contex provides a brief overview of the history of mathematics in a very straightforward and understandable manner and also addresses major findings that influenced the development of mathematics as a coherent discipline. This book: Highlights the contributions made by various world cultures including African, Egyptian, Babylonian, Chinese, Indian, Islamic, and pre-Columbian American mathematics Features an approach that is not too rigorous and is ideal for a one-semester course of the history of mathematics. Includes a Resources and Recommended Reading section for further exploration and has been extensively classroom-tested
Author : Leslie Leland Locke
Publisher :
Page : 224 pages
File Size : 38,15 MB
Release : 1923
Category : Quipu
ISBN :
Author : Andrew James Hamilton
Publisher : Princeton University Press
Page : 298 pages
File Size : 21,67 MB
Release : 2018-06-05
Category : Art
ISBN : 0691172730
A groundbreaking work on how the topic of scale provides an entirely new understanding of Inca material culture Although questions of form and style are fundamental to art history, the issue of scale has been surprisingly neglected. Yet, scale and scaled relationships are essential to the visual cultures of many societies from around the world, especially in the Andes. In Scale and the Incas, Andrew Hamilton presents a groundbreaking theoretical framework for analyzing scale, and then applies this approach to Inca art, architecture, and belief systems. The Incas were one of humanity's great civilizations, but their lack of a written language has prevented widespread appreciation of their sophisticated intellectual tradition. Expansive in scope, this book examines many famous works of Inca art including Machu Picchu and the Dumbarton Oaks tunic, more enigmatic artifacts like the Sayhuite Stone and Capacocha offerings, and a range of relatively unknown objects in diverse media including fiber, wood, feathers, stone, and metalwork. Ultimately, Hamilton demonstrates how the Incas used scale as an effective mode of expression in their vast multilingual and multiethnic empire. Lavishly illustrated with stunning color plates created by the author, the book's pages depict artifacts alongside scale markers and silhouettes of hands and bodies, allowing readers to gauge scale in multiple ways. The pioneering visual and theoretical arguments of Scale and the Incas not only rewrite understandings of Inca art, but also provide a benchmark for future studies of scale in art from other cultures.
Author : Donald Bindner
Publisher : John Wiley & Sons
Page : 418 pages
File Size : 13,72 MB
Release : 2014-08-21
Category : Mathematics
ISBN : 1118371747
Presents a clear bridge between mathematics and the liberal arts Mathematics for the Liberal Arts provides a comprehensible and precise introduction to modern mathematics intertwined with the history of mathematical discoveries. The book discusses mathematical ideas in the context of the unfolding story of human thought and highlights the application of mathematics in everyday life. Divided into two parts, Mathematics for the Liberal Arts first traces the history of mathematics from the ancient world to the Middle Ages, then moves on to the Renaissance and finishes with the development of modern mathematics. In the second part, the book explores major topics of calculus and number theory, including problem-solving techniques and real-world applications. This book emphasizes learning through doing, presents a practical approach, and features: A detailed explanation of why mathematical principles are true and how the mathematical processes work Numerous figures and diagrams as well as hundreds of worked examples and exercises, aiding readers to further visualize the presented concepts Various real-world practical applications of mathematics, including error-correcting codes and the space shuttle program Vignette biographies of renowned mathematicians Appendices with solutions to selected exercises and suggestions for further reading Mathematics for the Liberal Arts is an excellent introduction to the history and concepts of mathematics for undergraduate liberal arts students and readers in non-scientific fields wishing to gain a better understanding of mathematics and mathematical problem-solving skills.
