A History of Mathematical Notations (Two Volume in One)


Book Description

Described even today as "unsurpassed," this history of mathematical notation stretching back to the Babylonians and Egyptians is one of the most comprehensive written. In two impressive volumes, first published in 1928-9 and reproduced here under one cover, distinguished mathematician Florian Cajori shows the origin, evolution, and dissemination of each symbol and the competition it faced in its rise to popularity or fall into obscurity. Illustrated with more than a hundred diagrams and figures, this "mirror of past and present conditions in mathematics" will give students and historians a whole new appreciation for "1 + 1 = 2." Swiss-American author, educator, and mathematician FLORIAN CAJORI (1859-1930) was one of the world's most distinguished mathematical historians. Appointed to a specially created chair in the history of mathematics at the University of California, Berkeley, he also wrote An Introduction to the Theory of Equations, A History of Mathematical Notations, and The Chequered Career of Ferdinand Rudolph Hassler.




Mathematics, Substance and Surmise


Book Description

The seventeen thought-provoking and engaging essays in this collection present readers with a wide range of diverse perspectives on the ontology of mathematics. The essays address such questions as: What kind of things are mathematical objects? What kinds of assertions do mathematical statements make? How do people think and speak about mathematics? How does society use mathematics? How have our answers to these questions changed over the last two millennia, and how might they change again in the future? The authors include mathematicians, philosophers, computer scientists, cognitive psychologists, sociologists, educators and mathematical historians; each brings their own expertise and insights to the discussion. Contributors to this volume: Jeremy Avigad Jody Azzouni David H. Bailey David Berlinski Jonathan M. Borwein Ernest Davis Philip J. Davis Donald Gillies Jeremy Gray Jesper Lützen Ursula Martin Kay O’Halloran Alison Pease Steven Piantadosi Lance Rips Micah T. Ross Nathalie Sinclair John Stillwell Hellen Verran




Accounting and Order


Book Description

This book draws on ancient Egyptian inscriptions in order to theorize the relationship between accounting and order. It focuses especially on the performative power of accounting in producing and sustaining order in society. It explores how accounting intervened in various domains of the ancient Egyptian world: the cosmos; life on earth (offerings to the gods; taxation; transportation; redistribution for palace dependants; mining activities; work organization; baking and brewing; private estates and the household; and private transactions in semi-barter exchange); and the cult of the dead. The book emphasizes several possibilities through which accounting can be theorized over and above strands of theorizing that have already been explored in detail previously. These additional possibilities theorize accounting as a performative ritual; myth; a sign system; a signifier; a time ordering device; a spatial ordering device; violence; and as an archive and a cultural memory. Each of these themes are summarized with further suggestions as to how theorizing might be pursued in future research in the final chapter of the book. This book is of particular relevance to all accounting students and researchers concerned with theorize accounting and also with the relevance of history to the project of contemporary theorizing of accounting.




Mathematics in the Time of the Pharaohs


Book Description

In this carefully researched study, the author examines Egyptian mathematics, demonstrating that although operations were limited in number, they were remarkably adaptable to a great many applications: solution of problems in direct and inverse proportion, linear equations of the first degree, and arithmetical and geometrical progressions.




Ancient Egypt


Book Description

This fully revised and updated third edition of the bestselling Ancient Egypt seeks to identify what gave ancient Egypt its distinctive and enduring characteristics, ranging across material culture, the mindset of its people, and social and economic factors. In this volume, Barry J. Kemp identifies the ideas by which the Egyptians organized their experience of the world and explains how they maintained a uniform style in their art and architecture across three thousand years, whilst accommodating substantial changes in outlook. The underlying aim is to relate ancient Egypt to the broader mainstream of our understanding of how all human societies function. Source material is taken from ancient written documents, while the book also highlights the contribution that archaeology makes to our understanding of Egyptian culture and society. It uses numerous case studies, illustrating them with artwork expressly prepared from specialist sources. Broad ranging yet impressively detailed, the book is an indispensable text for all students of ancient Egypt and for the general reader.




Unexpected Links Between Egyptian and Babylonian Mathematics


Book Description

Mesopotamian mathematics is known from a great number of cuneiform texts, most of them Old Babylonian, some Late Babylonian or pre-Old-Babylonian, and has been intensively studied during the last couple of decades. In contrast to this Egyptian mathematics is known from only a small number of papyrus texts, and the few books and papers that have been written about Egyptian mathematical papyri have mostly reiterated the same old presentations and interpretations of the texts. In this book, it is shown that the methods developed by the author for the close study of mathematical cuneiform texts can also be successfully applied to all kinds of Egyptian mathematical texts, hieratic, demotic, or Greek-Egyptian. At the same time, comparisons of a large number of individual Egyptian mathematical exercises with Babylonian parallels yield many new insights into the nature of Egyptian mathematics and show that Egyptian and Babylonian mathematics display greater similarities than expected.