Elementary Vector Analysis: With Application to Geometry and Physics

C. E. Weatherburn

ISBN 10: 1330407520 / ISBN 13: 9781330407523

Editore: Forgotten Books, 2018

Riguardo questo articolo

Print on Demand. This book provides a clear and concise introduction to the principles of vector analysis, a powerful tool for tackling problems in geometry and mechanics. The author traces the evolution of vector analysis from its roots in the work of mathematicians like Hamilton and Grassmann, highlighting its development as a system designed to simplify complex calculations in physics and applied mathematics. The book delves into the fundamental concepts of vector addition, subtraction, and multiplication, illustrating their application to geometry through the study of straight lines, planes, spheres, and twisted curves. The author also explores the crucial role of vectors in mechanics, presenting a detailed analysis of the equations of motion for rigid bodies and a thorough explanation of centroids, including the concept of center of mass. The book's unique approach showcases how the principles of statics can be derived from the fundamental equations of dynamics, simplifying traditional methods of analysis and offering a more unified understanding of these interconnected fields. Ultimately, the book demonstrates the elegance and efficiency of vector analysis as a tool for comprehending the physical world. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

Codice articolo 9781330407523_0

Dati bibliografici

• Titolo: Elementary Vector Analysis: With Application to Geometry and Physics
• Editore: Forgotten Books
• Data di pubblicazione: 2018
• Lingua: Inglese
• ISBN 10: 1330407520
• ISBN 13: 9781330407523
• Rilegatura: Paperback
• Condizione: New
• Tipo di libro: print-on-demand item
• Cataloghi dei venditori:
  • Calculus

Descrizione articolo

Riassunto

Excerpt from Elementary Vector Analysis

The son gave early evidence of genius, being a remarkable linguist and displaying great mathematical talent. He entered Trinity College, Dublin, in 1824, where he had a brilliant and unprecedented career. His ability was so conspicuous that in 1827, while still an undergraduate, he was asked to apply for the vacant Andrews' Professorship of Astronomy in the Uni versity of Dublin, and was appointed to the position. He was not specially qualified as a practical astronomer; but the con ditions of his appointment allowed him to advance the cause of Science in the way he felt best able to do so. In 1835, while acting as secretary to the at its meeting in Dublin, he received a knighthood; and two years later the importance of his scientific work was recognised by his election as President of the Royal Irish Academy. His mathematical work continued uninterrupted till his death on 2nd September, 1865, at the age of sixty. It often happens that we get our most important ideas while not formally working at a subject, perhaps while walking in the country or by the sea, or even in more commonplace surroundings. From a letter of Hamilton's we learn that, on l6th October, 1843, while he was walking beside the Royal Canal on his way to preside at a meeting of the Academy, the thought flashed into his mind which gave the key to a problem that had been occupying his thoughts, and led to the birth and development of the subject of Quaternions. He announced the discovery at that meeting of the Academy, and asked per mission to read a paper on quaternions at the next, which he. Did on 13th November. During the next few years he expanded the subject, and published his Lectures on Quaternions in 1853, while the Elements of Quaternions appeared in 1866, soon after his death.