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9781333079802: Tables of Complex Hyperbolic and Circular Functions (Classic Reprint)

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Excerpt from Tables of Complex Hyperbolic and Circular Functions

The tables in this book present hyperbolic and circular functions of a complex variable, both in polar and rectangular coordinates. Such complex functions have not hitherto been published, except over a very restricted range. They have important applications in electrical engineering. For instance, it is possible with their help to find in a few minutes the potential, current and power, at any point of an alternating-current line conductor of known constants and terminal conditions; whereas the same problem, to a like degree of precision, without aid from these functions, and by older methods, would probably occupy hours of labor and cover several sheets of computing-paper.

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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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Arthur Edwin Kennelly
Editore: Forgotten Books, 2018
ISBN 10: 133307980X ISBN 13: 9781333079802
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781333079802

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Arthur Edwin Kennelly
Editore: Forgotten Books, 2018
ISBN 10: 133307980X ISBN 13: 9781333079802
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781333079802

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Arthur Edwin Kennelly
Editore: Forgotten Books, 2018
ISBN 10: 133307980X ISBN 13: 9781333079802
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Paperback. Condizione: New. Print on Demand. This book presents hyperbolic and circular functions of complex variables in 2D rectangular polar coordinates. The functions are tabulated between the limits of 0 and 10 for x, and 0 and 2Ï for y. The author shows it's an easy matter to extend the range of x beyond 10, should the need arise. However, due to the complexity of creating the tables, entries are necessarily large, meaning interpolation is required for ordinary engineering purposes where three or four significant digits are needed. To this end, a separate atlas of 23 large-scale charts, 45 cm x 45 cm over ruled areas, has been prepared and is published as an adjunct to these Tables. The necessary interpolation can very swiftly be made on the charts, by inspection. This book is targeted toward an audience of academics and scholars working in mathematics and engineering. The complex functions provided in the tables are relevant to the analysis of alternating-current lines, line conductors, and potential current and power. The author's insights into this field of study will spark new ideas and promote further research into this subject. 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. print-on-demand item. Codice articolo 9781333079802_0

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