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.

First Published in 1929 A Handbook for History Teachers is an attempt on the part of a number of teachers (many of them members of the S. E. London branch of the Historical Association) to offer some practical help in the choice of historical material for children. It discusses themes like schemes of work in elementary junior and senior schools, textbooks for pupils under fifteen, class library books for pupils under fifteen, book lists for teachers, and sources for the preparation of history stories by the teacher. This is an essential read for history teachers and education.

This well-illustrated book provides strong qualitative and comparative support for the main arguments developed by Nerida Ellerton and Ken Clements in their groundbreaking Rewriting this History of School Mathematics in North America 1607–1861: The Central Role of Cyphering Books. Eleven extraordinary handwritten school mathematics manuscripts are carefully analyzed—six were prepared entirely in Great Britain, four entirely in North America, and 1 partly in Great Britain and partly in North America. The earliest of the 11 cyphering books was prepared around 1630, and the latest in 1835. Seven of the manuscripts were arithmetic cyphering books; three were navigation cyphering books, and one was a mensuration/surveying manuscript. One of the cyphering books examined in this book was prepared, over the period 1819–1826, by a young Abraham Lincoln, when he was attending small one-teacher schools in remote Spencer County, Indiana. Chapter 6 in this book provides the first detailed analysis of young Abraham’s cyphering book—which is easily the oldest surviving Lincoln manuscript. Another cyphering book, this one prepared by William Beattie in 1835, could have been prepared as a special gift for the King of England. The analyses make clear the extent of the control which the cyphering tradition had over school mathematics in North America and Great Britain between 1630 and 1840. In their final chapter Ellerton and Clements identify six lessons from their research into the cyphering tradition which relate to present-day circumstances surrounding school mathematics. These lessons are concerned with sharp differences between intended, implemented and attained curricula, the remarkable value that many students placed upon their cyphering books, the ethnomathematical circumstances which surrounded the preparations of the extraordinary cyphering books, and qualitative differences between British and North American school mathematics.

In the 25 years since the last edition of Thornton and Tully’s Scientific Books, Libraries and Collectors was published, scientific publishing has mushroomed, developed new forms, and the academic discipline and popular appreciation of the history of science have grown apace. This fourth edition discusses these changes and ponders the implications of developments in publishing at the end of the twentieth century, while concentrating its gaze upon the dissemination of scientific ideas and knowledge from Antiquity to the industrial age. In this shift of focus it departs from previous editions, and for the first time a chapter on Islamic science is included. Recurrent themes in several of the ten essays in the present volume are the definition of ’science’ itself, and its transmutation by publishing media and the social context. Two essays on the collecting of scientific books provide a counterpoint, and the book is grounded on a rigorous chapter on bibliographies. The timely publication of Scientific Books, Libraries and Collectors comes at the coincidence of the advent of electronic publishing and the millennium, a dramatic moment at which to take stock.