Turning Points in the History of Mathematics (Compact Textbooks in Mathematics)

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9781493932634: Turning Points in the History of Mathematics (Compact Textbooks in Mathematics)

This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution.  Studying these breakthroughs, transitions, and revolutions, their stumbling-blocks and their triumphs, can help illuminate the importance of the history of mathematics for its teaching, learning, and appreciation.

Some of the turning points considered are the rise of the axiomatic method (most famously in Euclid), and the subsequent major changes in it (for example, by David Hilbert); the “wedding,” via analytic geometry, of algebra and geometry; the “taming” of the infinitely small and the infinitely large; the passages from algebra to algebras, from geometry to geometries, and from arithmetic to arithmetics; and the revolutions in the late nineteenth and early twentieth centuries that resulted from Georg Cantor’s creation of transfinite set theory. The origin of each turning point is discussed, along with the mathematicians involved and some of the mathematics that resulted.  Problems and projects are included in each chapter to extend and increase understanding of the material. Substantial reference lists are also provided.

Turning Points in the History of Mathematics will be a valuable resource for teachers of, and students in, courses in mathematics or its history. The book should also be of interest to anyone with a background in mathematics who wishes to

learn more about the important moments in its development.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

About the Author :

Hardy Grant was, before his retirement, Associate Professor in the Department of Mathematics and Statistics, York University, Toronto, Canada

Israel Kleiner is Professor Emeritus, the Department of Mathematics and Statistics, York University, Toronto, Canada

Review :

“Turning Points does provide a useful summary and outline of at least a portion of the subject, and also functions nicely as a way of helping to mentally organize the material. It contains a number of good quotes, and a decent selection of bibliographic references at the end of each chapter. There are also problems at the end of each chapter, generally calling for essay-type answers that should require the student to do further reading.” (Mark Hunacek, MAA Reviews, maa.org, June, 2016)

“Each chapter contains some problems and projects (they extend and increase the understanding of the material) as well as references and suggestions of further readings. A comprehensive index has been supplemented. The book can serve everyone interested in the historical development of mathematics – some mathematical background is of course required. It can serve teachers and students, can be used in courses in the history of mathematics as well as in courses in particular domains of mathematics ... .” (Roman Murawski, zbMATH 1342.01005, 2016)

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

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Hardy Grant, Israel Kleiner
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ISBN 10 : 1493932632 ISBN 13 : 9781493932634
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Description du livre BIRKHAUSER BOSTON INC, United States, 2016. Paperback. État : New. 2015 ed.. Language: English . Brand New Book. This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution. Studying these breakthroughs, transitions, and revolutions, their stumbling-blocks and their triumphs, can help illuminate the importance of the history of mathematics for its teaching, learning, and appreciation. Some of the turning points considered are the rise of the axiomatic method (most famously in Euclid), and the subsequent major changes in it (for example, by David Hilbert); the wedding, via analytic geometry, of algebra and geometry; the taming of the infinitely small and the infinitely large; the passages from algebra to algebras, from geometry to geometries, and from arithmetic to arithmetics; and the revolutions in the late nineteenth and early twentieth centuries that resulted from Georg Cantor s creation of transfinite set theory. The origin of each turning point is discussed, along with the mathematicians involved and some of the mathematics that resulted. Problems and projects are included in each chapter to extend and increase understanding of the material.Substantial reference lists are also provided. Turning Points in the History of Mathematics will be a valuable resource for teachers of, and students in, courses in mathematics or its history. The book should also be of interest to anyone with a background in mathematics who wishes to learn more about the important moments in its development. N° de réf. du libraire AAU9781493932634

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ISBN 10 : 1493932632 ISBN 13 : 9781493932634
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Hardy Grant, Israel Kleiner
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ISBN 10 : 1493932632 ISBN 13 : 9781493932634
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Description du livre BIRKHAUSER BOSTON INC, United States, 2016. Paperback. État : New. 2015 ed.. Language: English . Brand New Book. This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution. Studying these breakthroughs, transitions, and revolutions, their stumbling-blocks and their triumphs, can help illuminate the importance of the history of mathematics for its teaching, learning, and appreciation. Some of the turning points considered are the rise of the axiomatic method (most famously in Euclid), and the subsequent major changes in it (for example, by David Hilbert); the wedding, via analytic geometry, of algebra and geometry; the taming of the infinitely small and the infinitely large; the passages from algebra to algebras, from geometry to geometries, and from arithmetic to arithmetics; and the revolutions in the late nineteenth and early twentieth centuries that resulted from Georg Cantor s creation of transfinite set theory. The origin of each turning point is discussed, along with the mathematicians involved and some of the mathematics that resulted. Problems and projects are included in each chapter to extend and increase understanding of the material. Substantial reference lists are also provided. Turning Points in the History of Mathematics will be a valuable resource for teachers of, and students in, courses in mathematics or its history. The book should also be of interest to anyone with a background in mathematics who wishes to learn more about the important moments in its development. N° de réf. du libraire AAU9781493932634

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Description du livre Birkhauser Boston Inc. Paperback. État : new. BRAND NEW, Turning Points in the History of Mathematics: 2015, Hardy Grant, Israel Kleiner, This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution. Studying these breakthroughs, transitions, and revolutions, their stumbling-blocks and their triumphs, can help illuminate the importance of the history of mathematics for its teaching, learning, and appreciation. Some of the turning points considered are the rise of the axiomatic method (most famously in Euclid), and the subsequent major changes in it (for example, by David Hilbert); the "wedding," via analytic geometry, of algebra and geometry; the "taming" of the infinitely small and the infinitely large; the passages from algebra to algebras, from geometry to geometries, and from arithmetic to arithmetics; and the revolutions in the late nineteenth and early twentieth centuries that resulted from Georg Cantor's creation of transfinite set theory. The origin of each turning point is discussed, along with the mathematicians involved and some of the mathematics that resulted. Problems and projects are included in each chapter to extend and increase understanding of the material. Substantial reference lists are also provided. Turning Points in the History of Mathematics will be a valuable resource for teachers of, and students in, courses in mathematics or its history. The book should also be of interest to anyone with a background in mathematics who wishes to learn more about the important moments in its development. N° de réf. du libraire B9781493932634

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Description du livre Birkh?user, 2016. État : New. Series: Compact Textbooks in Mathematics. Num Pages: 117 pages, 37 black & white illustrations, 13 colour illustrations, biography. BIC Classification: PBX. Category: (P) Professional & Vocational. Dimension: 235 x 155. . . 2016. 1st ed. 2015. Paperback. . . . . . N° de réf. du libraire V9781493932634

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Description du livre Birkhäuser. État : New. Series: Compact Textbooks in Mathematics. Num Pages: 117 pages, 37 black & white illustrations, 13 colour illustrations, biography. BIC Classification: PBX. Category: (P) Professional & Vocational. Dimension: 235 x 155. . . 2016. 1st ed. 2015. Paperback. . . . . Books ship from the US and Ireland. N° de réf. du libraire V9781493932634

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