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The sole edition of Robert Recorde's The Whetstone of Witte was printed at London by John Kingston in 1557. One of Recorde's concerns in this book is to develop not only a means of representing powers of numbers, but also a means of naming them. Prior to the development of a numerical index notation, the names given to the powers was of considerable importance. Hence in these pages we find terminology which is now archaic, for instance the strange word zenzizenzizenzike, the name for the eighth power of a number. It is generally acknowledged that Recorde's treatise on algebra, in the section entitled The arte of cossike numbers, is the first to be printed in the English language. Although this work owes much to the German mathematicians Christoff Rudolff and Michael Stifel, it does have one well known claim to originality; the first use of two parallel lines as the sign for equality (because noe 2 thyngs, can be moare equalle). Recorde's invention of the equals sign =, together with his adoption of the + sign (which betokeneth more) and the minus sign – (which betokeneth less) placed him at the very forefront of European practice. Like most of Recorde's books, The Whetstone is written in the form of a dialogue between a learned master and a clever, but rather precocious, scholar. After being patiently encouraged through the seconde parte of arithmetic (begun by the scholar in Recorde's first book, The Grounde of Artes) followed by the extraction of rootes, the scholar remarks 'I am moche bounde unto you … Trusting so to applie my studie, and emploie my knowlege, that it shall never repente you of your curtesie in this behalfe'. To which the master, about to start an exposition on the difficult and strange cossike arte (algebra), replies 'Then marke well my words, and you shall perceive, that I will use as moche plainesse, as I maie, in teaching : And therefore will beginne with cossick numbers first'. Here Recorde is again using terminology that is now archaic. In his day algebra was called the cossic art, derived from the Latin cosa, meaning 'thing'. The Whetstone also includes a lengthy treatise on the arte of surde nombers, that is, on irrational numbers.
Recent research has revealed new information about the Welsh Tudor mathematician, Robert Recorde who invented the equals sign (=) – what inspired his work and what was its influence on the development of mathematics education in the English-speaking world. The findings of that research, presented at a commemorative conference in 2008, form the core of this publication. The book begins with an account of Recorde’s life and an overview of his work in mathematics, medicine and cosmography. Individual chapters concentrate on each of his books in turn, taken chronologically, and are supplemented by chapters that present historical perspectives of Recorde’s work and its wider European links and one that sets Recorde’s work within the general knowledge economy.
This is the first English translation of Thomas Harriot’s seminal Artis Analyticae Praxis, first published in Latin in 1631. It has recently become clear that Harriot's editor substantially rearranged the work, and omitted sections beyond his comprehension. Commentary included with this translation relates to corresponding pages in the manuscript papers, enabling exploration of Harriot's novel and advanced mathematics. This publication provides the basis for a reassessment of the development of algebra.
The seventeen equations that form the basis for life as we know it. Most people are familiar with history's great equations: Newton's Law of Gravity, for instance, or Einstein's theory of relativity. But the way these mathematical breakthroughs have contributed to human progress is seldom appreciated. In In Pursuit of the Unknown, celebrated mathematician Ian Stewart untangles the roots of our most important mathematical statements to show that equations have long been a driving force behind nearly every aspect of our lives. Using seventeen of our most crucial equations -- including the Wave Equation that allowed engineers to measure a building's response to earthquakes, saving countless lives, and the Black-Scholes model, used by bankers to track the price of financial derivatives over time -- Stewart illustrates that many of the advances we now take for granted were made possible by mathematical discoveries. An approachable, lively, and informative guide to the mathematical building blocks of modern life, In Pursuit of the Unknown is a penetrating exploration of how we have also used equations to make sense of, and in turn influence, our world.
A Publishers Weekly best book of 1995! Dr. Michael Guillen, known to millions as the science editor of ABC's Good Morning America, tells the fascinating stories behind five mathematical equations. As a regular contributor to daytime's most popular morning news show and an instructor at Harvard University, Dr. Michael Guillen has earned the respect of millions as a clear and entertaining guide to the exhilarating world of science and mathematics. Now Dr. Guillen unravels the equations that have led to the inventions and events that characterize the modern world, one of which -- Albert Einstein's famous energy equation, E=mc2 -- enabled the creation of the nuclear bomb. Also revealed are the mathematical foundations for the moon landing, airplane travel, the electric generator -- and even life itself. Praised by Publishers Weekly as "a wholly accessible, beautifully written exploration of the potent mathematical imagination," and named a Best Nonfiction Book of 1995, the stories behind The Five Equations That Changed the World, as told by Dr. Guillen, are not only chronicles of science, but also gripping dramas of jealousy, fame, war, and discovery.
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New 2017 Cambridge A Level Maths and Further Maths resources help students with learning and revision. Written for the OCR AS/A Level Mathematics specifications for first teaching from 2017, this print Student Book covers the content for AS and the first year of A Level. It balances accessible exposition with a wealth of worked examples, exercises and opportunities to test and consolidate learning, providing a clear and structured pathway for progressing through the course. It is underpinned by a strong pedagogical approach, with an emphasis on skills development and the synoptic nature of the course. Includes answers to aid independent study.
This classic study notes the origin of a mathematical symbol, the competition it encountered, its spread among writers in different countries, its rise to popularity, and its eventual decline or ultimate survival. 1929 edition.
Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.