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Author : Asger Aaboe
Publisher : MAA
Page : 154 pages
File Size : 47,9 Mb
Release : 1963
Category : History
ISBN : 0883856131
Among other things, Aaboe shows us how the Babylonians did calculations, how Euclid proved that there are infinitely many primes, how Ptolemy constructed a trigonometric table in his Almagest, and how Archimedes trisected the angle.
Author : J.L. Berggren
Publisher : Springer
Page : 256 pages
File Size : 40,6 Mb
Release : 2017-01-18
Category : Mathematics
ISBN : 9781493937806
This book presents an account of selected topics from key mathematical works of medieval Islam, based on the Arabic texts themselves. Many of these works had a great influence on mathematics in Western Europe. Topics covered in the first edition include arithmetic, algebra, geometry, trigonometry, and numerical approximation; this second edition adds number theory and combinatorics. Additionally, the author has included selections from the western regions of medieval Islam—both North Africa and Spain. The author puts the works into their historical context and includes numerous examples of how mathematics interacted with Islamic society.
Author : Enrique A. González-Velasco
Publisher : Springer Science & Business Media
Page : 479 pages
File Size : 54,5 Mb
Release : 2011-08-08
Category : Mathematics
ISBN : 9780387921549
This book offers an accessible and in-depth look at some of the most important episodes of two thousand years of mathematical history. Beginning with trigonometry and moving on through logarithms, complex numbers, infinite series, and calculus, this book profiles some of the lesser known but crucial contributors to modern day mathematics. It is unique in its use of primary sources as well as its accessibility; a knowledge of first-year calculus is the only prerequisite. But undergraduate and graduate students alike will appreciate this glimpse into the fascinating process of mathematical creation. The history of math is an intercontinental journey, and this book showcases brilliant mathematicians from Greece, Egypt, and India, as well as Europe and the Islamic world. Several of the primary sources have never before been translated into English. Their interpretation is thorough and readable, and offers an excellent background for teachers of high school mathematics as well as anyone interested in the history of math.
Author : Jeremy J. Gray,Karen Hunger Parshall
Publisher : American Mathematical Soc.
Page : 346 pages
File Size : 43,7 Mb
Release : 2011-08-31
Category : Mathematics
ISBN : 9780821869048
Algebra, as a subdiscipline of mathematics, arguably has a history going back some 4000 years to ancient Mesopotamia. The history, however, of what is recognized today as high school algebra is much shorter, extending back to the sixteenth century, while the history of what practicing mathematicians call "modern algebra" is even shorter still. The present volume provides a glimpse into the complicated and often convoluted history of this latter conception of algebra by juxtaposing twelve episodes in the evolution of modern algebra from the early nineteenth-century work of Charles Babbage on functional equations to Alexandre Grothendieck's mid-twentieth-century metaphor of a ``rising sea'' in his categorical approach to algebraic geometry. In addition to considering the technical development of various aspects of algebraic thought, the historians of modern algebra whose work is united in this volume explore such themes as the changing aims and organization of the subject as well as the often complex lines of mathematical communication within and across national boundaries. Among the specific algebraic ideas considered are the concept of divisibility and the introduction of non-commutative algebras into the study of number theory and the emergence of algebraic geometry in the twentieth century. The resulting volume is essential reading for anyone interested in the history of modern mathematics in general and modern algebra in particular. It will be of particular interest to mathematicians and historians of mathematics.
Author : Anonim
Publisher : Unknown
Page : 336 pages
File Size : 51,8 Mb
Release : 2007
Category : Algebra
ISBN : 1470418088
Algebra, as a subdiscipline of mathematics, arguably has a history going back some 4000 years to ancient Mesopotamia. The history, however, of what is recognized today as high school algebra is much shorter, extending back to the sixteenth century, while the history of what practicing mathematicians call ""modern algebra"" is even shorter still. The present volume provides a glimpse into the complicated and often convoluted history of this latter conception of algebra by juxtaposing twelve episodes in the evolution of modern algebra from the early nineteenth-century work of Charles Babbage on.
Author : Frank J. Swetz
Publisher : Walch Publishing
Page : 282 pages
File Size : 51,6 Mb
Release : 1994
Category : Education
ISBN : 0825122643
Biographies of 23 important mathematicians span many centuries and cultures. Historical Learning Tasks provide 21 in-depth treatments of a variety of historical problems.
Author : Nicholas Faulkner,Erik Gregersen
Publisher : Encyclopaedia Britannica
Page : 344 pages
File Size : 49,6 Mb
Release : 2017-12-15
Category : Juvenile Nonfiction
ISBN : 9781538300411
This intriguing volume introduces readers to the origins of the mathematical principles they study every day. It covers a wide range of disciplines outlined in curriculum standards and serves as an illuminating companion to their current studies. Readers will learn about the brilliant minds behind some of the breakthroughs in mathematics. They will also enjoy the origin stories of the different disciplines in the field we're so familiar with today. The study of math should go beyond numbers, and this book certainly accomplishes that by giving readers insight into how mathematics came to be.
Author : Craig Smorynski
Publisher : Springer Science & Business Media
Page : 273 pages
File Size : 53,9 Mb
Release : 2007-12-03
Category : Mathematics
ISBN : 9780387754819
General textbooks, attempting to cover three thousand or so years of mathematical history, must necessarily oversimplify just about everything, the practice of which can scarcely promote a critical approach to the subject. To counter this, History of Mathematics offers deeper coverage of key select topics, providing students with material that could encourage more critical thinking. It also includes the proofs of important results which are typically neglected in the modern history of mathematics curriculum.
Author : Britannica Educational Publishing
Publisher : Britannica Educational Publishing
Page : 311 pages
File Size : 52,5 Mb
Release : 2010-04-01
Category : Juvenile Nonfiction
ISBN : 9781615302215
The field of mathematics today represents an ongoing global effort, spanning both countries and centuries. Through this in-depth narrative, students will learn how major mathematical concepts were first derived, as well as how they evolved with the advent of later thinkers shedding new light on various applications. Everything from Euclidean geometry to the philosophy of mathematics is illuminated as readers are transported to the ancient civilizations of Mesopotamia, Egypt, and beyond to discover the history of mathematical thought
Author : Niccol- Guicciardini
Publisher : Cambridge University Press
Page : 393 pages
File Size : 40,6 Mb
Release : 2021-07-22
Category : History
ISBN : 9781108834964
Discover essays by leading scholars on the history of mathematics from ancient to modern times in European and non-European cultures.
Author : Steven G. Krantz
Publisher : MAA
Page : 395 pages
File Size : 55,5 Mb
Release : 2010-04
Category : Mathematics
ISBN : 9780883857663
A series of snapshots of the history of mathematics from ancient times to the twentieth century.
Author : Michael K. J. Goodman
Publisher : John Wiley & Sons
Page : 248 pages
File Size : 44,8 Mb
Release : 2016-01-27
Category : Mathematics
ISBN : 9781119104988
An easy-to-read presentation of the early history of mathematics Engaging and accessible, An Introduction to the Early Development of Mathematics provides a captivating introduction to the history of ancient mathematics in early civilizations for a nontechnical audience. Written with practical applications in a variety of areas, the book utilizes the historical context of mathematics as a pedagogical tool to assist readers working through mathematical and historical topics. The book is divided into sections on significant early civilizations including Egypt, Babylonia, China, Greece, India, and the Islamic world. Beginning each chapter with a general historical overview of the civilized area, the author highlights the civilization’s mathematical techniques, number representations, accomplishments, challenges, and contributions to the mathematical world. Thoroughly class-tested, An Introduction to the Early Development of Mathematics features: Challenging exercises that lead readers to a deeper understanding of mathematics Numerous relevant examples and problem sets with detailed explanations of the processes and solutions at the end of each chapter Additional references on specific topics and keywords from history, archeology, religion, culture, and mathematics Examples of practical applications with step-by-step explanations of the mathematical concepts and equations through the lens of early mathematical problems A companion website that includes additional exercises An Introduction to the Early Development of Mathematics is an ideal textbook for undergraduate courses on the history of mathematics and a supplement for elementary and secondary education majors. The book is also an appropriate reference for professional and trade audiences interested in the history of mathematics. Michael K. J. Goodman is Adjunct Mathematics Instructor at Westchester Community College, where he teaches courses in the history of mathematics, contemporary mathematics, and algebra. He is also the owner and operator of The Learning Miracle, LLC, which provides academic tutoring and test preparation for both college and high school students.
Author : Agnès Garcia-Ventura,Lorenzo Verderame
Publisher : Penn State Press
Page : 282 pages
File Size : 45,5 Mb
Release : 2021-03-03
Category : History
ISBN : 9781646020874
The present volume collects eighteen essays exploring the history of ancient Near Eastern studies. Combining diverse approaches—synthetic and analytic, diachronic and transnational—this collection offers critical reflections on the who, why, and how of this cluster of fields. How have political contexts determined the conduct of research? How do academic agendas reflect larger social, economic, and cultural interests? How have schools of thought and intellectual traditions configured, and sometimes predetermined, the study of the ancient Near East? Contributions treating research during the Nazi and fascist periods examine the interpenetration of academic work with politics, while contributions dealing with specific national contexts disclose fresh perspectives on individual scholars as well as the conditions and institutions in which they worked. Particular attention is given to scholarship in countries such as Turkey, Portugal, Iran, China, and Spain, which have hitherto been marginal to historiographic accounts of ancient Near Eastern studies. In addition to the editors, the contributors are Selim Ferru Adali, Silvia Alaura, Isabel Almeida, Petr Charvát, Parsa Daneshmand, Eva von Dassow, Hakan Erol, Sebastian Fink, Jakob Flygare, Pietro Giammellaro, Carlos Gonçalves, Katrien de Graef, Steven W. Holloway, Ahmed Fatima Kzzo, Changyu Liu, Patrick Maxime Michel, Emanuel Pfoh, Jitka Sýkorová, Luděk Vacín, and Jordi Vidal.
Author : John Fauvel,J.A. van Maanen
Publisher : Springer Science & Business Media
Page : 456 pages
File Size : 41,9 Mb
Release : 2000-07-31
Category : Education
ISBN : 9780792363996
This ground-breaking book investigates how the learning and teaching of mathematics can be improved through integrating the history of mathematics into all aspects of mathematics education: lessons, homework, texts, lectures, projects, assessment, and curricula. It draws upon evidence from the experience of teachers as well as national curricula, textbooks, teacher education practices, and research perspectives across the world. It includes a 300-item annotated bibliography of recent work in the field in eight languages.
Author : Alfred S Posamentier,Beverly Smith
Publisher : World Scientific
Page : 1042 pages
File Size : 44,8 Mb
Release : 2020-09-18
Category : Mathematics
ISBN : 9789811211430
The primary aim of this book is to provide teachers of mathematics with all the tools they would need to conduct most effective mathematics instruction. The book guides teachers through the all-important planning process, which includes short and long-term planning as well as constructing most effective lessons, with an emphasis on motivation, classroom management, emphasizing problem-solving techniques, assessment, enriching instruction for students at all levels, and introducing relevant extracurricular mathematics activities. Technology applications are woven throughout the text.A unique feature of this book is the second half, which provides 125 highly motivating enrichment units for all levels of secondary school mathematics. Many years of proven success makes this book essential for both pre-service and in-service mathematics teachers.
