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Synopsis
Excerpt from Plane Algebraic Curves
Though the theory of plane algebraic curves still attracts mathematical students, the English reader has not many suitable books at his disposal. Salmon's classic treatise supplied all that could be desired at the time of its appearance, but the last edition was published some forty years ago, and has been long out of print. It seemed therefore as if a new book on the subject might be useful, if only to bring some more recent developments within reach of the student.
In the preparation of this volume I have made frequent use of the books written by Salmon, Basset, Wieleitner, Teixeira, Loria, &c. But most of the contents and examples are extracted from a very large number of mathematical periodicals. With the exception of the list at the end of Ch. XX, I have not attempted to give systematic references. In fact, in a field which has attracted so many workers, it would be almost impossible to trace the steps by which particular results have reached their present form. In some cases I cannot even remember whether a result is my own or not; but Chapters IX, XI, XVII, and XVIII contain most of my own contributions to the subject. The solutions are mine for the most part, even in the case of examples derived from other authors.
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- PublisherForgotten Books
- Publication date2018
- ISBN 10 133034779X
- ISBN 13 9781330347799
- BindingPaperback
- LanguageEnglish
- Number of pages408
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Plane Algebraic Curves (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book delves into the captivating world of plane algebraic curves, offering a comprehensive exploration of their properties and intricacies. While acknowledging the historical significance of classic works in this field, the author presents a fresh perspective, incorporating insights gleaned from extensive research and a deep understanding of the subject. Through clear explanations and illustrative examples, the book guides readers through fundamental concepts such as coordinates, projection, and curve tracing. It then progresses to more advanced topics, including singular points, tangential equations, and polar reciprocation. The author's own contributions to the field are evident in chapters dedicated to superlinear branches, derived curves, and the use of parameters for non-singular cubics. With a focus on the geometric and algebraic aspects of plane curves, the book reveals the profound connections between these two realms. It explores the fascinating properties of various curve types, including cubics, quartics, and higher-degree curves. By illuminating the interplay of mathematical principles and geometric shapes, this book offers a deeper appreciation for the beauty and complexity of plane algebraic curves. 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. Seller Inventory # 9781330347799_0
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Plane Algebraic Curves (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330347799
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Plane Algebraic Curves Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330347799
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Paperback. Condition: Brand New. 408 pages. 9.00x6.00x0.92 inches. This item is printed on demand. Seller Inventory # zk133034779X
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