# A History of Vector Analysis: The Evolution of the Idea of a Vectorial System (Dover Books on Mathematics)

## Michael J. Crowe

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On October 16, 1843, Sir William Rowan Hamilton discovered quaternions and, on the very same day, presented his breakthrough to the Royal Irish Academy. Meanwhile, in a less dramatic style, a German high school teacher, Hermann Grassmann, was developing another vectorial system involving hypercomplex numbers comparable to quaternions. The creations of these two mathematicians led to other vectorial systems, most notably the system of vector analysis formulated by Josiah Willard Gibbs and Oliver Heaviside and now almost universally employed in mathematics, physics and engineering. Yet the Gibbs-Heaviside system won acceptance only after decades of debate and controversy in the latter half of the nineteenth century concerning which of the competing systems offered the greatest advantages for mathematical pedagogy and practice.
This volume, the first large-scale study of the development of vectorial systems, traces he rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers created by Hamilton and Grassmann to the final acceptance around 1910 of the modern system of vector analysis. Professor Michael J. Crowe (University of Notre Dame) discusses each major vectorial system as well as the motivations that led to their creation, development, and acceptance or rejection.
The vectorial approach revolutionized mathematical methods and teaching in algebra, geometry, and physical science. As Professor Crowe explains, in these areas traditional Cartesian methods were replaced by vectorial approaches. He also presents the history of ideas of vector addition, subtraction, multiplication, division (in those systems where it occurs) and differentiation. His book also contains refreshing portraits of the personalities involved in the competition among the various systems.
Teachers, students, and practitioners of mathematics, physics, and engineering as well as anyone interested in the history of scientific ideas will find this volume to be well written, solidly argued, and excellently documented. Reviewers have described it a s "a fascinating volume," "an engaging and penetrating historical study" and "an outstanding book (that) will doubtless long remain the standard work on the subject." In 1992 it won an award for excellence from the Jean Scott Foundation of France.

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## 1.A History of Vector Analysis: The Evolution of the Idea of a Vectorial System

ISBN 10: 0486679101 ISBN 13: 9780486679105
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Descripción 2011. PAP. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería V0-9780486679105

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## 2.A History of Vector Analysis Format: Paperback

Editorial: Dover Publishers
ISBN 10: 0486679101 ISBN 13: 9780486679105
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Descripción Dover Publishers. Estado de conservación: New. Brand New. Nº de ref. de la librería 0486679101

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## 3.A History of Vector Analysis: The Evolution of the Idea of a Vectorial System

ISBN 10: 0486679101 ISBN 13: 9780486679105
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Pbshop
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Descripción 2011. PAP. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería IB-9780486679105

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## 4.A History of Vector Analysis: The Evolution of the Idea of a Vectorial System (Dover Books on Mathematics)

Editorial: Dover Publications (2011)
ISBN 10: 0486679101 ISBN 13: 9780486679105
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Descripción Dover Publications, 2011. Paperback. Estado de conservación: New. Never used!. Nº de ref. de la librería 0486679101

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## 5.A History of Vector Analysis: The Evolution of the Idea of a Vectorial System (Paperback)

Editorial: Dover Publications Inc., United States (2011)
ISBN 10: 0486679101 ISBN 13: 9780486679105
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The Book Depository US
(London, Reino Unido)
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Descripción Dover Publications Inc., United States, 2011. Paperback. Estado de conservación: New. New edition. Language: English . Brand New Book. On October 16, 1843, Sir William Rowan Hamilton discovered quaternions and, on the very same day, presented his breakthrough to the Royal Irish Academy. Meanwhile, in a less dramatic style, a German high school teacher, Hermann Grassmann, was developing another vectorial system involving hypercomplex numbers comparable to quaternions. The creations of these two mathematicians led to other vectorial systems, most notably the system of vector analysis formulated by Josiah Willard Gibbs and Oliver Heaviside and now almost universally employed in mathematics, physics and engineering. Yet the Gibbs-Heaviside system won acceptance only after decades of debate and controversy in the latter half of the nineteenth century concerning which of the competing systems offered the greatest advantages for mathematical pedagogy and practice. This volume, the first large-scale study of the development of vectorial systems, traces he rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers created by Hamilton and Grassmann to the final acceptance around 1910 of the modern system of vector analysis. Professor Michael J. Crowe (University of Notre Dame) discusses each major vectorial system as well as the motivations that led to their creation, development, and acceptance or rejection. The vectorial approach revolutionized mathematical methods and teaching in algebra, geometry, and physical science. As Professor Crowe explains, in these areas traditional Cartesian methods were replaced by vectorial approaches. He also presents the history of ideas of vector addition, subtraction, multiplication, division (in those systems where it occurs) and differentiation. His book also contains refreshing portraits of the personalities involved in the competition among the various systems. Teachers, students, and practitioners of mathematics, physics, and engineering as well as anyone interested in the history of scientific ideas will find this volume to be well written, solidly argued, and excellently documented. Reviewers have described it a s a fascinating volume, an engaging and penetrating historical study and an outstanding book (that) will doubtless long remain the standard work on the subject. In 1992 it won an award for excellence from the Jean Scott Foundation of France. Nº de ref. de la librería AAC9780486679105

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## 6.A History of Vector Analysis: The Evolution of the Idea of a Vectorial System (Paperback)

Editorial: Dover Publications Inc., United States (2011)
ISBN 10: 0486679101 ISBN 13: 9780486679105
Librería
The Book Depository
(London, Reino Unido)
Valoración

Descripción Dover Publications Inc., United States, 2011. Paperback. Estado de conservación: New. New edition. Language: English . Brand New Book. On October 16, 1843, Sir William Rowan Hamilton discovered quaternions and, on the very same day, presented his breakthrough to the Royal Irish Academy. Meanwhile, in a less dramatic style, a German high school teacher, Hermann Grassmann, was developing another vectorial system involving hypercomplex numbers comparable to quaternions. The creations of these two mathematicians led to other vectorial systems, most notably the system of vector analysis formulated by Josiah Willard Gibbs and Oliver Heaviside and now almost universally employed in mathematics, physics and engineering. Yet the Gibbs-Heaviside system won acceptance only after decades of debate and controversy in the latter half of the nineteenth century concerning which of the competing systems offered the greatest advantages for mathematical pedagogy and practice. This volume, the first large-scale study of the development of vectorial systems, traces he rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers created by Hamilton and Grassmann to the final acceptance around 1910 of the modern system of vector analysis. Professor Michael J. Crowe (University of Notre Dame) discusses each major vectorial system as well as the motivations that led to their creation, development, and acceptance or rejection. The vectorial approach revolutionized mathematical methods and teaching in algebra, geometry, and physical science. As Professor Crowe explains, in these areas traditional Cartesian methods were replaced by vectorial approaches. He also presents the history of ideas of vector addition, subtraction, multiplication, division (in those systems where it occurs) and differentiation. His book also contains refreshing portraits of the personalities involved in the competition among the various systems. Teachers, students, and practitioners of mathematics, physics, and engineering as well as anyone interested in the history of scientific ideas will find this volume to be well written, solidly argued, and excellently documented. Reviewers have described it a s a fascinating volume, an engaging and penetrating historical study and an outstanding book (that) will doubtless long remain the standard work on the subject. In 1992 it won an award for excellence from the Jean Scott Foundation of France. Nº de ref. de la librería AAC9780486679105

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## 7.A History of Vector Analysis: The Evolution of the Idea of a Vectorial System (Paperback or Softback)

Editorial: Dover Publications 11/2/2011 (2011)
ISBN 10: 0486679101 ISBN 13: 9780486679105
Nuevos Paperback or Softback Cantidad: 5
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Descripción Dover Publications 11/2/2011, 2011. Paperback or Softback. Estado de conservación: New. A History of Vector Analysis: The Evolution of the Idea of a Vectorial System. Book. Nº de ref. de la librería BBS-9780486679105

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## 8.A History of Vector Analysis: The Evolution of the Idea of a Vectorial System (Paperback)

Editorial: Dover Publications Inc., United States (2011)
ISBN 10: 0486679101 ISBN 13: 9780486679105
Librería
Book Depository hard to find
(London, Reino Unido)
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Descripción Dover Publications Inc., United States, 2011. Paperback. Estado de conservación: New. New edition. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. On October 16, 1843, Sir William Rowan Hamilton discovered quaternions and, on the very same day, presented his breakthrough to the Royal Irish Academy. Meanwhile, in a less dramatic style, a German high school teacher, Hermann Grassmann, was developing another vectorial system involving hypercomplex numbers comparable to quaternions. The creations of these two mathematicians led to other vectorial systems, most notably the system of vector analysis formulated by Josiah Willard Gibbs and Oliver Heaviside and now almost universally employed in mathematics, physics and engineering. Yet the Gibbs-Heaviside system won acceptance only after decades of debate and controversy in the latter half of the nineteenth century concerning which of the competing systems offered the greatest advantages for mathematical pedagogy and practice. This volume, the first large-scale study of the development of vectorial systems, traces he rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers created by Hamilton and Grassmann to the final acceptance around 1910 of the modern system of vector analysis. Professor Michael J. Crowe (University of Notre Dame) discusses each major vectorial system as well as the motivations that led to their creation, development, and acceptance or rejection. The vectorial approach revolutionized mathematical methods and teaching in algebra, geometry, and physical science. As Professor Crowe explains, in these areas traditional Cartesian methods were replaced by vectorial approaches. He also presents the history of ideas of vector addition, subtraction, multiplication, division (in those systems where it occurs) and differentiation. His book also contains refreshing portraits of the personalities involved in the competition among the various systems. Teachers, students, and practitioners of mathematics, physics, and engineering as well as anyone interested in the history of scientific ideas will find this volume to be well written, solidly argued, and excellently documented. Reviewers have described it a s a fascinating volume, an engaging and penetrating historical study and an outstanding book (that) will doubtless long remain the standard work on the subject. In 1992 it won an award for excellence from the Jean Scott Foundation of France. Nº de ref. de la librería BTE9780486679105

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## 9.A History of Vector Analysis: The Evolution of the Idea of a Vectorial System (Dover Books on Mathematics)

Editorial: Dover Publications
ISBN 10: 0486679101 ISBN 13: 9780486679105
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Descripción Dover Publications. PAPERBACK. Estado de conservación: New. 0486679101. Nº de ref. de la librería Z0486679101ZN

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## 10.A History of Vector Analysis: The Evolution of the Idea of a Vectorial System (Dover Books on Mathematics)

Editorial: Dover Publications
ISBN 10: 0486679101 ISBN 13: 9780486679105
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Lakeside Books
(Benton Harbor, MI, Estados Unidos de America)
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Descripción Dover Publications. PAPERBACK. Estado de conservación: New. 0486679101 BRAND NEW, GIFT QUALITY! NOT OVERSTOCKS OR MARKED UP REMAINDERS! DIRECT FROM THE PUBLISHER!|0.7. Nº de ref. de la librería OTF-Y-9780486679105

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