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Written by a prominent artifact historian, this booklet is a short introduction and beginner's guide to historical counting systems, including Ancient Egyptian, Inuit, Greek, Hindu, Babylonian, Chinese and Mayan. This primer is intended for the non mathematician, so the reader can learn to read and understand numerals in several languages. The book does not go into advanced calculations.
Discovering the way people in ancient cultures conducted their lives is fascinating for young people, and learning how these people counted and calculated is a part of understanding these cultures. This book offers a concise, but thorough, introduction to ancient number systems. Students won't just learn to count like the ancient Greeks; they'll learn about the number systems of the Mayans, Babylonians, Egyptians, and Romans, as well as learning Hindu-Arabic cultures and quinary and binary systems. Symbols and rules regarding the use of the symbols in each number system are introduced and demonstrated with examples. Activity pages provide problems for the students to apply their understanding of each system. Can You Count in Greek? is a great resource for math, as well as a supplement for social studies units on ancient civilizations. This valuable resource builds understanding of place value, number theory, and reasoning. It includes everything you need to easily incorporate these units in math or social studies classes. Whether you use all of the units or a select few, your students will gain a better understanding and appreciation of our number system. Grades 5-8
Drawing on years of research, a renowned archaeologist traces the evolution of counting. She shows how the concept of numbers came about, how various societies answered the question "How many?," and how our modern-day decimal system was developed. Engrossing and enlightening, this fascinating book introduces children to one of our most important inventions. 00-01 Utah Book Award (Informational Books) Notable Children's Trade Books in the Field of Social Studies 2000, National Council for SS & Child. Book Council
A lively collection of fun and challenging problems in ancient Egyptian math The mathematics of ancient Egypt was fundamentally different from our math today. Contrary to what people might think, it wasn't a primitive forerunner of modern mathematics. In fact, it can’t be understood using our current computational methods. Count Like an Egyptian provides a fun, hands-on introduction to the intuitive and often-surprising art of ancient Egyptian math. David Reimer guides you step-by-step through addition, subtraction, multiplication, and more. He even shows you how fractions and decimals may have been calculated—they technically didn’t exist in the land of the pharaohs. You’ll be counting like an Egyptian in no time, and along the way you’ll learn firsthand how mathematics is an expression of the culture that uses it, and why there’s more to math than rote memorization and bewildering abstraction. Reimer takes you on a lively and entertaining tour of the ancient Egyptian world, providing rich historical details and amusing anecdotes as he presents a host of mathematical problems drawn from different eras of the Egyptian past. Each of these problems is like a tantalizing puzzle, often with a beautiful and elegant solution. As you solve them, you’ll be immersed in many facets of Egyptian life, from hieroglyphs and pyramid building to agriculture, religion, and even bread baking and beer brewing. Fully illustrated in color throughout, Count Like an Egyptian also teaches you some Babylonian computation—the precursor to our modern system—and compares ancient Egyptian mathematics to today’s math, letting you decide for yourself which is better.
Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.
An “utterly lucid, thoughtfully illustrated, and thoroughly convincing” book on the origins of the world’s oldest known system of writing (American Journal of Archaeology). One of American Scientist's Top 100 Books on Science, 2001 In 1992, the University of Texas Press published Before Writing, Volume I: From Counting to Cuneiform and Before Writing, Volume II: A Catalog of Near Eastern Tokens. In these two volumes, Denise Schmandt-Besserat set forth her groundbreaking theory that the cuneiform script invented in the Near East in the late fourth millennium B.C.—the world's oldest known system of writing—derived from an archaic counting device. How Writing Came About draws material from both volumes of this scholarly work to present Schmandt-Besserat’s theory in an abridged version for a wide public and classroom audience. Based on the analysis and interpretation of a selection of 8,000 tokens or counters from 116 sites in Iran, Iraq, the Levant, and Turkey, it documents the immediate precursor of the cuneiform script./DIV
This monumental book traces the origins and development of mathematics in the ancient Middle East, from its earliest beginnings in the fourth millennium BCE to the end of indigenous intellectual culture in the second century BCE when cuneiform writing was gradually abandoned. Eleanor Robson offers a history like no other, examining ancient mathematics within its broader social, political, economic, and religious contexts, and showing that mathematics was not just an abstract discipline for elites but a key component in ordering society and understanding the world. The region of modern-day Iraq is uniquely rich in evidence for ancient mathematics because its prehistoric inhabitants wrote on clay tablets, many hundreds of thousands of which have been archaeologically excavated, deciphered, and translated. Drawing from these and a wealth of other textual and archaeological evidence, Robson gives an extraordinarily detailed picture of how mathematical ideas and practices were conceived, used, and taught during this period. She challenges the prevailing view that they were merely the simplistic precursors of classical Greek mathematics, and explains how the prevailing view came to be. Robson reveals the true sophistication and beauty of ancient Middle Eastern mathematics as it evolved over three thousand years, from the earliest beginnings of recorded accounting to complex mathematical astronomy. Every chapter provides detailed information on sources, and the book includes an appendix on all mathematical cuneiform tablets published before 2007.
Praise for the Second Edition "An amazing assemblage of worldwide contributions in mathematics and, in addition to use as a course book, a valuable resource . . . essential." —CHOICE This Third Edition of The History of Mathematics examines the elementary arithmetic, geometry, and algebra of numerous cultures, tracing their usage from Mesopotamia, Egypt, Greece, India, China, and Japan all the way to Europe during the Medieval and Renaissance periods where calculus was developed. Aimed primarily at undergraduate students studying the history of mathematics for science, engineering, and secondary education, the book focuses on three main ideas: the facts of who, what, when, and where major advances in mathematics took place; the type of mathematics involved at the time; and the integration of this information into a coherent picture of the development of mathematics. In addition, the book features carefully designed problems that guide readers to a fuller understanding of the relevant mathematics and its social and historical context. Chapter-end exercises, numerous photographs, and a listing of related websites are also included for readers who wish to pursue a specialized topic in more depth. Additional features of The History of Mathematics, Third Edition include: Material arranged in a chronological and cultural context Specific parts of the history of mathematics presented as individual lessons New and revised exercises ranging between technical, factual, and integrative Individual PowerPoint presentations for each chapter and a bank of homework and test questions (in addition to the exercises in the book) An emphasis on geography, culture, and mathematics In addition to being an ideal coursebook for undergraduate students, the book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the history of mathematics.
Classic survey chronicles the development of the Japanese mathematics: use of the abacus; application of counting rods to algebra; Seki Kowa; the circle principle; Ajima Chokuyen; Wada Nei; more. 1914 edition. Includes 74 figures.
Twenty chapters present the range of current research into the study of textiles and dress in classical antiquity, stressing the need for cross and inter-disciplinarity study in order to gain the fullest picture of surviving material. Issues addressed include: the importance of studying textiles to understand economy and landscape in the past; different types of embellishments of dress from weaving techniques to the (late introduction) of embroidery; the close links between the language of ancient mathematics and weaving; the relationships of iconography to the realities of clothed bodies including a paper on the ground breaking research on the polychromy of ancient statuary; dye recipes and methods of analysis; case studies of garments in Spanish, Viennese and Greek collections which discuss methods of analysis and conservation; analyses of textile tools from across the Mediterranean; discussions of trade and ethnicity to the workshop relations in Roman fulleries. Multiple aspects of the production of textiles and the social meaning of dress are included here to offer the reader an up-to-date account of the state of current research. The volume opens up the range of questions that can now be answered when looking at fragments of textiles and examining written and iconographic images of dressed individuals in a range of media. The volume is part of a pair together with Prehistoric, Ancient Near Eastern and Aegean Textiles and Dress: an interdisciplinary anthology edited by Mary Harlow, C_cile Michel and Marie-Louise Nosch