A History of Vector Analysis: The Evolution of the Idea of a Vectorial System (Dover Books on Mathematics)
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A History of Vector Analysis: The Evolution of the Idea of a Vector...
Book Details
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Author: Michael J. Crowe
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Publisher: Dover
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Edition: New edition
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Binding: Paperback
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Number of Pages: 304
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Release Date: 05-10-2011
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ISBN: 9780486679105
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Package Dimensions: 8.4 x 5.5 x 0.9 inches
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Languages: English
About The Book
The History of Vector Analysis by Michael J. Crowe offers a fascinating and thorough examination of the development of vectorial systems in mathematics and their eventual widespread adoption. The book traces the origins of vector analysis back to Sir William Rowan Hamilton's discovery of quaternions in 1843 and Hermann Grassmann's parallel work on hypercomplex numbers.
The study delves into the competing systems of vector analysis and the debates that led to the acceptance of the modern system formulated by Josiah Willard Gibbs and Oliver Heaviside. Crowe carefully explores the motivations behind each mathematical system, the controversies, and the personalities involved in their creation and evolution.
Key Topics Include:
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The development of complex numbers and hypercomplex numbers
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The historical context of quaternions and their significance
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The Gibbs-Heaviside vector system and its eventual dominance
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Mathematical pedagogy and how vectorial methods revolutionized algebra, geometry, and physical sciences
Why This Book Stands Out:
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Comprehensive and Engaging: Traces the history of vector analysis from its origins to its acceptance as the dominant system, offering both technical insight and personal narratives of the mathematicians involved.
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Thoroughly Researched: Crowe’s book is a scholarly exploration of vector analysis, highly regarded for its historical accuracy and depth of analysis.
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Accessible to Multiple Audiences: Ideal for teachers, students, and professionals in mathematics, physics, and engineering, as well as anyone interested in the history of scientific ideas.
This volume is highly regarded as the definitive work on the history of vector analysis, and it has received praise for its clarity, engaging narrative, and solid documentation.
