by: Suzuki, Jeff

Format: Paperback

Product Description Blending relevant mathematics and history, this book immerses readers in the full, rich detail of mathematics. It provides a description of mathematics and shows how mathematics was actually practiced throughout the millennia by past civilizations and great mathematicians alike. As a result, readers gain a better understanding of why mathematics developed the way it did. Chapter topics include Egyptian Mathematics, Babylonian Mathematics, Greek Arithmetic, Pre-Euclidean Geometry, Euclid, Archimedes and Apollonius, Roman Era, China and India, The Arab World, Medieval Europe, Renaissance, The Era of Descartes and Fermat, The Era of Newton and Leibniz, Probability and Statistics, Analysis, Algebra, Number Theory, the Revolutionary Era, The Age of Gauss, Analysis to Mid-Century, Geometry, Analysis After Mid-Century, Algebras, and the Twentieth Century. For teachers of mathematics. From the Back Cover Blending relevant mathematics and history, this book immerses readers in the full, rich detail of mathematics. It provides a description of mathematics and shows how mathematics was "actually practiced" throughout the millennia by past civilizations and great mathematicians alike. As a result, readers gain a better understanding of why mathematics developed the way it did. Chapter topics include Egyptian Mathematics, Babylonian Mathematics, Greek Arithmetic, Pre-Euclidean Geometry, Euclid, Archimedes and Apollonius, Roman Era, China and India, The Arab World, Medieval Europe, Renaissance, The Era of Descartes and Fermat, The Era of Newton and Leibniz, Probability and Statistics, Analysis, Algebra, Number Theory, the Revolutionary Era, The Age of Gauss, Analysis to Mid-Century, Geometry, Analysis After Mid-Century, Algebras, and the Twentieth Century. For teachers of mathematics. Excerpt. Â© Reprinted by permission. All rights reserved. The Mathematics of History The author of a text on the history of mathematics is faced with a difficult question: how to handle the mathematics? There are several good choices. One is to give concise descriptions of the mathematics, which allows many topics to be covered. Another is to present the mathematics in modern terms, which makes clear the connection between the past and the present. There are many excellent texts that use either or both of these strategies. This book offers a third choice, based on a simple philosophy: the best way to understand history is to experience it. To understand why mathematics developed the way it did, why certain discoveries were made and others missed, and why a mathematician chose a particular line of investigation, we should use the tools they used, see mathematics as they saw it, and above all think about mathematics as they did. Thus to provide the best understanding of the history of mathematics, this book is a mathematics text, first and foremost. The diligent reader will be classmate to Archimedes, al Khwarizmi, and Gauss. He or she will be looking over Newton's shoulders as he discovers the binomial theorem, and will read Euler's latest discoveries in number theory as they arrive from St. Petersburg. Above all, the reader will experience the mathematical creative process firsthand to answer the key question of the history of mathematics: how is mathematics created? In this text I have emphasized: Numeration, computation, and notation. Notation both limits and guides. Limits, because it is difficult to think "outside the notation"; guides, because a good system of notation can suggest relationships worthy of further study. As much as possible, I avoid the temptation to "translate" a mathematical result into modern (mathematical) language or notation, for modern notation brings modern ways of thinking. In a similar vein, the means of computing and expressing numbers guides what discoveries one may make, and ultimately influences the direction taken by mathematicians. Mathematical results in their original form w