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| Author | : William P. Berlinghoff |
| Publisher | : |
| Total Pages | : 236 |
| Release | : 2002 |
| Genre | : Mathematics |
| ISBN | : |
For teachers who would like to introduce some math history into their classes. This book contains 25 independent 4-to-6-page historical sketches of topics from elementary and secondary mathematics. A 56-page overview of the "big ideas" supplies a panoramic context for the sketches. It also contains a rich guide for further reading and an extensive bibliography.
| Author | : William P. Berlinghoff |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 331 |
| Release | : 2021-04-29 |
| Genre | : Education |
| ISBN | : 147046456X |
Where did math come from? Who thought up all those algebra symbols, and why? What is the story behind π π? … negative numbers? … the metric system? … quadratic equations? … sine and cosine? … logs? The 30 independent historical sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that is accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch includes Questions and Projects to help you learn more about its topic and to see how the main ideas fit into the bigger picture of history. The 30 short stories are preceded by a 58-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. “What to Read Next” and reading suggestions after each sketch provide starting points for readers who want to learn more. This book is ideal for a broad spectrum of audiences, including students in history of mathematics courses at the late high school or early college level, pre-service and in-service teachers, and anyone who just wants to know a little more about the origins of mathematics.
| Author | : William P. Berlinghoff |
| Publisher | : |
| Total Pages | : 331 |
| Release | : 2015 |
| Genre | : Mathematics |
| ISBN | : 9781470458263 |
"What's new in this edition? We have added new content and also tried to make improvements to the existing material. There are five new historical sketches, on: The tangent function and how it made its way into trigonometry. Logarithms, both decimal and natural. Conic sections: ellipses, parabolas, and hyperbolas. Irrational numbers. The derivative. As always, each of these come with Questions and Projects that try to address both the mathematics and the history, challenging students to go deeper into the topic. We also worked through the whole book to improve, correct, and update. Research on the history of mathematics continues, and we have learned new things over the last ten years. Historians make mistakes, especially when they are quoting other historians, and we have tried to correct all the ones that we knew about. Many new books have been published over the last dozen years, so the bibliography has been completely updated and the notes on "what to read next" reflect the latest resources. The questions and projects have been examined and, when it seemed appropriate, revised. The Instructor's Guide was thoroughly revised as well"--
| Author | : Victor J. Katz |
| Publisher | : Addison-Wesley Longman |
| Total Pages | : 1040 |
| Release | : 2009 |
| Genre | : Mathematics |
| ISBN | : |
One of the leading historians in the mathematics field, Victor Katz provides a world view of mathematics, balancing ancient, early modern, and modern history.
| Author | : Roger L. Cooke |
| Publisher | : John Wiley & Sons |
| Total Pages | : 630 |
| Release | : 2011-02-14 |
| Genre | : Mathematics |
| ISBN | : 1118030249 |
This new edition brings the fascinating and intriguing history of mathematics to life The Second Edition of this internationally acclaimed text has been thoroughly revised, updated, and reorganized to give readers a fresh perspective on the evolution of mathematics. Written by one of the world's leading experts on the history of mathematics, the book details the key historical developments in the field, providing an understanding and appreciation of how mathematics influences today's science, art, music, literature, and society. In the first edition, each chapter was devoted to a single culture. This Second Edition is organized by subject matter: a general survey of mathematics in many cultures, arithmetic, geometry, algebra, analysis, and mathematical inference. This new organization enables students to focus on one complete topic and, at the same time, compare how different cultures approached each topic. Many new photographs and diagrams have been added to this edition to enhance the presentation. The text is divided into seven parts: The World of Mathematics and the Mathematics of the World, including the origin and prehistory of mathematics, cultural surveys, and women mathematicians Numbers, including counting, calculation, ancient number theory, and numbers and number theory in modern mathematics Color Plates, illustrating the impact of mathematics on civilizations from Egypt to Japan to Mexico to modern Europe Space, including measurement, Euclidean geometry, post-Euclidean geometry, and modern geometrics Algebra, including problems leading to algebra, equations and methods, and modern algebra Analysis, including the calculus, real, and complex analysis Mathematical Inference, including probability and statistics, and logic and set theory As readers progress through the text, they learn about the evolution of each topic, how different cultures devised their own solutions, and how these solutions enabled the cultures to develop and progress. In addition, readers will meet some of the greatest mathematicians of the ages, who helped lay the groundwork for today's science and technology. The book's lively approach makes it appropriate for anyone interested in learning how the field of mathematics came to be what it is today. It can also serve as a textbook for undergraduate or graduate-level courses. An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.
| Author | : John Stillwell |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 672 |
| Release | : 2010-08-02 |
| Genre | : Mathematics |
| ISBN | : 144196052X |
From a review of the second edition: "This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations. The fact that the topics are introduced in their historical contexts will enable students to better appreciate and understand the mathematical ideas involved...If one constructs a list of topics central to a history course, then they would closely resemble those chosen here." (David Parrott, Australian Mathematical Society) This book offers a collection of historical essays detailing a large variety of mathematical disciplines and issues; it’s accessible to a broad audience. This third edition includes new chapters on simple groups and new sections on alternating groups and the Poincare conjecture. Many more exercises have been added as well as commentary that helps place the exercises in context.
| Author | : Alexander Karp |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 627 |
| Release | : 2014-01-25 |
| Genre | : Mathematics |
| ISBN | : 146149155X |
This is the first comprehensive International Handbook on the History of Mathematics Education, covering a wide spectrum of epochs and civilizations, countries and cultures. Until now, much of the research into the rich and varied history of mathematics education has remained inaccessible to the vast majority of scholars, not least because it has been written in the language, and for readers, of an individual country. And yet a historical overview, however brief, has become an indispensable element of nearly every dissertation and scholarly article. This handbook provides, for the first time, a comprehensive and systematic aid for researchers around the world in finding the information they need about historical developments in mathematics education, not only in their own countries, but globally as well. Although written primarily for mathematics educators, this handbook will also be of interest to researchers of the history of education in general, as well as specialists in cultural and even social history.
| Author | : Phyllis Barkas Goldman |
| Publisher | : Allosaurus Pub |
| Total Pages | : 58 |
| Release | : 2009 |
| Genre | : Juvenile Nonfiction |
| ISBN | : 9781888325584 |
| Author | : Cajori |
| Publisher | : Forgotten Books |
| Total Pages | : 404 |
| Release | : 2017-11-18 |
| Genre | : Education |
| ISBN | : 9780331358575 |
Excerpt from The Teaching and History of Mathematics in the United States The paper used in the book is thick, the type large. Words and phrases to which the author desires to call special attention are printed in italic characters, and as more than half the book is, in the author's eyes, important, more than half the book is printed in italics. In 1788, when Nicholas Pike published his arithmetic, Greenwood's book was entirely unknown, and Pike's was believed to be the first arith metic written and printed in America. The first arithmetic which enjoyed general popularity and reached an extended circulation in the colonies was the School-master's Assistant, by Thomas Dilworth. The first edition of this was published in London in 1744 or '45. According to Wickersham, there appeared a reprint of this in Philadelphia in 1769. Other American editions were brought out at Hartford in 1786, New York in 1793 and 1806, Brooklyn in 1807. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
| Author | : Carl Benjamin Boyer |
| Publisher | : |
| Total Pages | : 717 |
| Release | : 1985 |
| Genre | : Mathematics |
| ISBN | : 9780691023915 |
The Description for this book, A History of Mathematics, will be forthcoming.
