Vector Analysis and Quaternions (Classic Reprint)

Alexander Macfarlane

ISBN 10: 1330538048 / ISBN 13: 9781330538043

Editore: Forgotten Books, 2016

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Print on Demand. Embark on a captivating exploration of the mathematical landscape of the early 20th century with this book, delving into the intricate realms of vector analysis and quaternions. The author, a prominent figure in the field, presents a comprehensive and unified approach to understanding these essential mathematical tools, seamlessly weaving them together with Cartesian analysis. This work stands as a testament to the evolving understanding of spatial quantities during a period of significant mathematical advancement. It offers readers a unique opportunity to trace the historical development of vector analysis and quaternions, highlighting the contributions of mathematicians like Hamilton, Tait, and Grassmann. Moving beyond mere formulas, the author delves into the profound implications of these mathematical concepts for various scientific and engineering disciplines. The book's thematic depth is evident in its exploration of diverse applications, ranging from force and velocity in mechanics to electromagnetism and beyond. Ultimately, this book illuminates the power and versatility of vector analysis and quaternions, showcasing their ability to elegantly represent and manipulate the complexities of our three-dimensional 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 9781330538043_0

Dati bibliografici

• Titolo: Vector Analysis and Quaternions (Classic Reprint)
• Editore: Forgotten Books
• Data di pubblicazione: 2016
• Lingua: Inglese
• ISBN 10: 1330538048
• ISBN 13: 9781330538043
• Rilegatura: Paperback
• Condizione: New
• Tipo di libro: print-on-demand item
• Cataloghi dei venditori:
  • Calculus

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Riassunto

Excerpt from Vector Analysis and Quaternions

The volume called Higher Mathematics, the first edition of which was published in 1896, contained eleven chapters by eleven authors, each chapter being independent of the others, but all supposing the reader to have at least a mathematical training equivalent to that given in classical and engineering colleges. The publication of that volume is now discontinued and the chapters are issued in separate form. In these reissues it will generally be found that the monographs are enlarged by additional articles or appendices which either amplify the former presentation or record recent advances. This plan of publication has been arranged in order to meet the demand of teachers and the convenience of classes, but it is also thought that it may prove advantageous to readers in special lines of mathematical literature.

It is the intention of the publishers and editors to add other monographs to the series from time to time, if the call for the same seems to warrant it. Among the topics which are under consideration are those of elliptic functions, the theory of numbers, the group theory, the calculus of variations, and non-Euclidean geometry; possibly also monographs on branches of astronomy, mechanics, and mathematical physics may be included. It is the hope of the editors that this form of publication may tend to promote mathematical study and research over a wider field than that which the former volume has occupied.

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