Author : Karenleigh Anne Overmann
Publisher :
Page : 328 pages
File Size : 26,6 MB
Release : 2019
Category : History
ISBN : 9781463207434
"The Material Origin of Numbers examines how number concepts are realized, represented, manipulated, and elaborated. Utilizing the cognitive archaeological framework of Material Engagement Theory and culling data from disciplines including neuroscience, ethnography, linguistics, and archaeology, Overmann offers a methodologically rich study of numbers and number concepts in the ancient Near East from the late Upper Paleolithic Period through the Bronze Age"--
Author : Mark Burgin
Publisher : World Scientific
Page : 370 pages
File Size : 25,51 MB
Release : 2022-04-22
Category : Mathematics
ISBN : 9811236852
The book is the first in the trilogy which will bring you to the fascinating world of numbers and operations with them. Numbers provide information about myriads of things. Together with operations, numbers constitute arithmetic forming in basic intellectual instruments of theoretical and practical activity of people and offering powerful tools for representation, acquisition, transmission, processing, storage, and management of information about the world.The history of numbers and arithmetic is the topic of a variety of books and at the same time, it is extensively presented in many books on the history of mathematics. However, all of them, at best, bring the reader to the end of the 19th century without including the developments in these areas in the 20th century and later. Besides, such books consider and describe only the most popular classes of numbers, such as whole numbers or real numbers. At the same time, a diversity of new classes of numbers and arithmetic were introduced in the 20th century.This book looks into the chronicle of numbers and arithmetic from ancient times all the way to 21st century. It also includes the developments in these areas in the 20th century and later. A unique aspect of this book is its information orientation of the exposition of the history of numbers and arithmetic.
Author : Karenleigh A. Overmann
Publisher : Cambridge University Press
Page : 443 pages
File Size : 41,47 MB
Release : 2023-05-25
Category : Social Science
ISBN : 1009361279
This is a book about numbers – what they are as concepts and how and why they originate – as viewed through the material devices used to represent and manipulate them. Fingers, tallies, tokens, and written notations, invented in both ancestral and contemporary societies, explain what numbers are, why they are the way they are, and how we get them. Overmann is the first to explore how material devices contribute to numerical thinking, initially by helping us to visualize and manipulate the perceptual experience of quantity that we share with other species. She explores how and why numbers are conceptualized and then elaborated, as well as the central role that material objects play in both processes. Overmann's volume thus offers a view of numerical cognition that is based on an alternative set of assumptions about numbers, their material component, and the nature of the human mind and thinking.
Author : John Stillwell
Publisher : Springer Nature
Page : 400 pages
File Size : 16,18 MB
Release : 2020-11-07
Category : Mathematics
ISBN : 3030551938
This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through its history. Readers will discover the rich tapestry of ideas behind familiar topics from the undergraduate curriculum, such as calculus, algebra, topology, and more. Featuring historical episodes ranging from the Ancient Greeks to Fermat and Descartes, this volume offers a glimpse into the broader context in which these ideas developed, revealing unexpected connections that make this ideal for a senior capstone course. The presentation of previous versions has been refined by omitting the less mainstream topics and inserting new connecting material, allowing instructors to cover the book in a one-semester course. This condensed edition prioritizes succinctness and cohesiveness, and there is a greater emphasis on visual clarity, featuring full color images and high quality 3D models. As in previous editions, a wide array of mathematical topics are covered, from geometry to computation; however, biographical sketches have been omitted. Mathematics and Its History: A Concise Edition is an essential resource for courses or reading programs on the history of mathematics. Knowledge of basic calculus, algebra, geometry, topology, and set theory is assumed. From reviews of previous editions: “Mathematics and Its History is a joy to read. The writing is clear, concise and inviting. The style is very different from a traditional text. I found myself picking it up to read at the expense of my usual late evening thriller or detective novel.... The author has done a wonderful job of tying together the dominant themes of undergraduate mathematics.” Richard J. Wilders, MAA, on the Third Edition "The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century.... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community." European Mathematical Society, on the Second Edition
Author : Jacob Klein
Publisher : Courier Corporation
Page : 246 pages
File Size : 44,26 MB
Release : 2013-04-22
Category : Mathematics
ISBN : 0486319814
Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.
Author : Clifford A. Pickover
Publisher : Union Square + ORM
Page : 937 pages
File Size : 31,66 MB
Release : 2011-09-27
Category : Mathematics
ISBN : 1402797494
The Neumann Prize–winning, illustrated exploration of mathematics—from its timeless mysteries to its history of mind-boggling discoveries. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, The Math Book covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic is lavishly illustrated with colorful art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.
Author : Kim Marriott
Publisher : CRC Press
Page : 375 pages
File Size : 37,49 MB
Release : 2024-09-04
Category : Computers
ISBN : 1040111416
We are living in the Golden Age of Data Visualization. The COVID-19 pandemic has demonstrated how we increasingly use data visualizations to make sense of the world. Business analysts fill their presentations with charts, journalists use infographics to engage their readers, we rely on the dials and gauges on our household appliances, and we use mapping apps on our smartphones to find our way. This book explains how and why this has happened. It details the evolution of information graphics, the kinds of graphics at the core of data visualization—maps, diagrams, charts, scientific and medical images—from prehistory to the present day. It explains how the cultural context, production and presentation technologies, and data availability have shaped the history of data visualization. It considers the perceptual and cognitive reasons why data visualization is so effective and explores the little-known world of tactile graphics—raised-line drawings used by people who are blind. The book also investigates the way visualization has shaped our modern world. The European Renaissance and the Scientific Revolution relied on maps and technical and scientific drawings, and graphics influence how we think about abstract concepts like time and social connection. This book is written for data visualization researchers and professionals and anyone interested in data visualization and the way we use graphics to understand and think about the world.
Author : Caleb Everett
Publisher : Harvard University Press
Page : 308 pages
File Size : 37,92 MB
Release : 2017-03-13
Category : Language Arts & Disciplines
ISBN : 0674504437
“A fascinating book.” —James Ryerson, New York Times Book Review A Smithsonian Best Science Book of the Year Winner of the PROSE Award for Best Book in Language & Linguistics Carved into our past and woven into our present, numbers shape our perceptions of the world far more than we think. In this sweeping account of how the invention of numbers sparked a revolution in human thought and culture, Caleb Everett draws on new discoveries in psychology, anthropology, and linguistics to reveal the many things made possible by numbers, from the concept of time to writing, agriculture, and commerce. Numbers are a tool, like the wheel, developed and refined over millennia. They allow us to grasp quantities precisely, but recent research confirms that they are not innate—and without numbers, we could not fully grasp quantities greater than three. Everett considers the number systems that have developed in different societies as he shares insights from his fascinating work with indigenous Amazonians. “This is bold, heady stuff... The breadth of research Everett covers is impressive, and allows him to develop a narrative that is both global and compelling... Numbers is eye-opening, even eye-popping.” —New Scientist “A powerful and convincing case for Everett’s main thesis: that numbers are neither natural nor innate to humans.” —Wall Street Journal
Author : Levi L. Conant
Publisher : DigiCat
Page : 175 pages
File Size : 41,57 MB
Release : 2022-09-16
Category : Fiction
ISBN :
DigiCat Publishing presents to you this special edition of "The Number Concept: Its Origin and Development" by Levi L. Conant. DigiCat Publishing considers every written word to be a legacy of humankind. Every DigiCat book has been carefully reproduced for republishing in a new modern format. The books are available in print, as well as ebooks. DigiCat hopes you will treat this work with the acknowledgment and passion it deserves as a classic of world literature.
Author :
Publisher : Oxford University Press
Page : 1329 pages
File Size : 37,20 MB
Release : 2024-03-12
Category : Psychology
ISBN : 0192649310
Cognitive Archaeology is a relatively young though fast growing discipline. The intellectual heart of cognitive archaeology is archaeology, the discipline that investigates the only direct evidence of the actions and decisions of prehistoric people. Its theories and methods are an eclectic mix of psychological, neuroscientific, paleoneurological, philosophical, anthropological, ethnographic, comparative, aesthetic, and experimental theories, methods, and models, united only by their focus on cognition. The Oxford Handbook of Cognitive Archaeology is a landmark publication, showcasing the theories, methods, and accomplishments of archaeologists who investigate the human mind, including its evolutionary development, its ideation (thoughts and beliefs), and its very nature-through material forms. The volume encompasses the wide spectrum of the discipline, showcasing contributions from more than 50 established and emerging scholars from Europe, Africa, Asia, Australia, and the Americas. Prominent among these are contributions that discuss the epistemological frameworks of both the evolutionary and ideational approaches and the leading theories that ground interpretations. Significantly, the majority of chapters deliver substantive contributions that analyze specific examples of material culture, from the oldest known stone tools to ceramic and rock art traditions of the recent millennium. These examples include the gamut of methods and techniques, including typology, replication studies, cha?nes operatoires, neuroarchaeology, ethnographic comparison, and the direct historical approach. In addition, the book begins with retrospective essays by several of the pioneers of cognitive archaeology, presenting a broad range of state-of-the-art investigations into cognitive abilities, tackling thorny issues like the cognitive status of Neandertals, and concluding with speculative essays about the future of an archaeology of mind, and of the mind itself.
