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Principles of Geometry, Vol. 5: Analytical Principles of the Theory of Curves (Classic Reprint) - Softcover
Synopsis
Excerpt from Principles of Geometry, Vol. 5
The present volume is an account of the analytic principles of the theory of curves, of the rational functions belonging thereto and of the integrals of these functions, with a brief account of the methods, by loops and by Riemann surfaces, for dealing with the periods of these integrals. But the theory of correspondence, and some necessary references to involutions in a plane, find themselves in the succeeding volume, which is mainly devoted to the theory of surfaces.
It is perhaps desirable to explain the origin of these volumes. In the last fifty years a remarkable advance has been made in the theory of surfaces, and of algebraic loci in general; the English reader may find a description of the nature of this in a Presidential Address to the London Mathematical Society given in November 1912 Proceedings, Vol. xii). But attempts, since the War, to expound these new results have continually shewn the necessity for a precise appreciation of the ideas out of which this advance has developed; in mathematics it is not sufficient to know the enunciation of a result; it is necessary to understand the proof. These two volumes have grown up in the attempt to meet this need. The further need of a volume explaining the applications of topological theory, especially to the periods of the integrals belonging to the higher loci, may, I hope, appeal to another. The volumes are necessarily very incomplete in their inclusion of detail, as the specialist in any branch will easily find; their object is to lay the foundations for a more detailed study.
The pursuit of the analytical principles has a fascination in itself; but since, for reasons of space, these volumes are so largely devoted to this, I may be allowed to add another remark.
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- PublisherForgotten Books
- Publication date2018
- ISBN 10 133037908X
- ISBN 13 9781330379080
- BindingPaperback
- LanguageEnglish
- Number of pages259
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Principles of Geometry, Vol. 5: Analytical Principles of the Theory of Curves
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Paperback. Condition: New. Print on Demand. This book delves into the intricate world of algebraic geometry, a field that explores the relationships between geometric shapes and algebraic equations. The author guides readers through a journey of discovery, starting with the fundamental properties of rational curvesââ âthose whose points can be described using rational functions. The reader then encounters elliptic curves, which are more complex and require the use of elliptic functions for their complete understanding. The book explores the connections between these curves, their multiple points, and the associated integrals, uncovering fundamental connections between geometry and analysis. The text is particularly engaging for its exploration of the evolution of these concepts from the nineteenth century onward, illustrating how these discoveries revolutionized our understanding of geometric shapes and their associated functions. By elucidating the theoretical foundation of algebraic geometry, this book offers a comprehensive guide for anyone seeking a deep understanding of the 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. Seller Inventory # 9781330379080_0
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Principles of Geometry, Vol 5 Classic Reprint
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Principles of Geometry, Vol 5 Classic Reprint
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Principles of Geometry, Vol. 5 (Classic Reprint)
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Paperback. Condition: Brand New. 260 pages. 8.90x5.60x0.40 inches. This item is printed on demand. Seller Inventory # zk133037908X
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Principles of Geometry, Vol. 5 : Analytical Principles of the Theory of Curves (Classic Reprint)
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Condition: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. | Seiten: 260 | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 25798175/2
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