The Twenty Seven Lines Upon The Cubic Surface
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The Twenty Seven Lines Upon The Cubic Surface
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Author : Archibald Henderson
language : en
Publisher: Cambridge University Press
Release Date : 2015-03-26
The Twenty Seven Lines Upon The Cubic Surface written by Archibald Henderson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-26 with Mathematics categories.
Originally published in 1911, this book presents a general survey of the problem of the 27 lines upon the cubic surface.
The Twenty Seven Lines Upon The Cubic Surface
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Author :
language : en
Publisher: CUP Archive
Release Date :
The Twenty Seven Lines Upon The Cubic Surface written by and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
The Twenty Seven Lines Upon The Cubic Surface
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Author : Archibald Henderson
language : en
Publisher:
Release Date : 1917
The Twenty Seven Lines Upon The Cubic Surface written by Archibald Henderson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1917 with categories.
The Twenty Seven Lines Upon The Cubic Surface
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Author : Andrew Henderson
language : en
Publisher:
Release Date : 1969
The Twenty Seven Lines Upon The Cubic Surface written by Andrew Henderson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.
Twenty Seven Lines Upon The Cubic Surface
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Author : Archibald Henderson
language : en
Publisher: Independently Published
Release Date : 2019-06-27
Twenty Seven Lines Upon The Cubic Surface written by Archibald Henderson and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-27 with categories.
This volume is a record of an individual attempt to construct numerical models of the cubic surface, founded on the lines of the surface; it is carried through with great earnestness, and so far as possible with the simplest materials; its obvious sincerity cannot fail to be inspiring to anyone who will be at pains to understand it. It would be a mistake to criticise the earlier half of the book as if it were a treatise on the cubic surface; it is the author's assembling of his materials for the constructions which follow, and the very want of elaboration which it occasionally exhibits is a proof, if an incidental one, of the independence with which the author has carried out his research. Perhaps the analytical investigation of the doublesix theorem, which occupies pp. 16 to 19, is an extreme case; a geometrical proof might have been given, though the author's is simple and selfcontained.The book is accompanied by reproductions of elaborate diagrams, carefully drawn to scale. They would have been more interesting if not so much reduced in size. There is a long bibliography of the general literature in regard to the cubic surface, which is likely to be useful. Under 1902 there should certainly be the entry, "Reziehungen der allgemeinen Fläche dritter Ordnung zu einer covarienten Flache dritter Classe," by Th. Reye, Math. Annalen, Bd. lv. Also the paper of G. Kohn, "Ueber einige Eigenschaften der allgemeinen Fläche dritter Ordnung," Wiener Sitzungsberichte, Bd. cxvii., p. 66, should be referred to, and a recent paper by Prof. W. Burnside in the Camb. Phil. Proceedings, on double-sixes with projective transformations.--Nature, Vol. 90.
The Twenty Seven Lines Upon The Cubic Surface
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Author : Archibald HENDERSON (of the University of North Carolina.)
language : en
Publisher:
Release Date : 1911
The Twenty Seven Lines Upon The Cubic Surface written by Archibald HENDERSON (of the University of North Carolina.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1911 with categories.
Convexity And Its Applications
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Author : GRUBER
language : en
Publisher: Birkhäuser
Release Date : 2013-11-11
Convexity And Its Applications written by GRUBER and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Social Science categories.
This collection of surveys consists in part of extensions of papers presented at the conferences on convexity at the Technische Universitat Wien (July 1981) and at the Universitat Siegen (July 1982) and in part of articles written at the invitation of the editors. This volume together with the earlier volume «Contributions to Geometry» edited by Tolke and Wills and published by Birkhauser in 1979 should give a fairly good account of many of the more important facets of convexity and its applications. Besides being an up to date reference work this volume can be used as an advanced treatise on convexity and related fields. We sincerely hope that it will inspire future research. Fenchel, in his paper, gives an historical account of convexity showing many important but not so well known facets. The articles of Papini and Phelps relate convexity to problems of functional analysis on nearest points, nonexpansive maps and the extremal structure of convex sets. A bridge to mathematical physics in the sense of Polya and Szego is provided by the survey of Bandle on isoperimetric inequalities, and Bachem's paper illustrates the importance of convexity for optimization. The contribution of Coxeter deals with a classical topic in geometry, the lines on the cubic surface whereas Leichtweiss shows the close connections between convexity and differential geometry. The exhaustive survey of Chalk on point lattices is related to algebraic number theory. A topic important for applications in biology, geology etc.
Mathematics Of The 19th Century
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Author : Andrei N. Kolmogorov
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Mathematics Of The 19th Century written by Andrei N. Kolmogorov and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The general principles by which the editors and authors of the present edition have been guided were explained in the preface to the first volume of Mathemat ics of the 19th Century, which contains chapters on the history of mathematical logic, algebra, number theory, and probability theory (Nauka, Moscow 1978; En glish translation by Birkhiiuser Verlag, Basel-Boston-Berlin 1992). Circumstances beyond the control of the editors necessitated certain changes in the sequence of historical exposition of individual disciplines. The second volume contains two chapters: history of geometry and history of analytic function theory (including elliptic and Abelian functions); the size of the two chapters naturally entailed di viding them into sections. The history of differential and integral calculus, as well as computational mathematics, which we had planned to include in the second volume, will form part of the third volume. We remind our readers that the appendix of each volume contains a list of the most important literature and an index of names. The names of journals are given in abbreviated form and the volume and year of publication are indicated; if the actual year of publication differs from the nominal year, the latter is given in parentheses. The book History of Mathematics from Ancient Times to the Early Nineteenth Century [in Russian], which was published in the years 1970-1972, is cited in abbreviated form as HM (with volume and page number indicated). The first volume of the present series is cited as Bk. 1 (with page numbers).
Duality In 19th And 20th Century Mathematical Thinking
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Author : Ralf Krömer
language : en
Publisher: Springer Nature
Release Date : 2024-07-01
Duality In 19th And 20th Century Mathematical Thinking written by Ralf Krömer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-01 with Mathematics categories.
This volume brings together scholars across various domains of the history and philosophy of mathematics, investigating duality as a multi-faceted phenomenon. Encompassing both systematic analysis and historical examination, the book endeavors to elucidate the status, roles, and dynamics of duality within the realms of 19th and 20th-century mathematics. Eschewing a priori notions, the contributors embrace the diverse interpretations and manifestations of duality, thus presenting a nuanced and comprehensive perspective on this intricate subject. Spanning a broad spectrum of mathematical topics and historical periods, the book uses detailed case studies to investigate the different forms in which duality appeared and still appears in mathematics, to study their respective histories, and to analyze interactions between the different forms of duality. The chapters inquire into questions such as the contextual occurrences of duality in mathematics, the influence of chosen forms of representation, the impact of investigations of duality on mathematical practices, and the historical interconnections among various instances of duality. Together, they aim to answer a core question: Is there such a thing as duality in mathematics, or are there just several things called by the same name and similar in some respect? What emerges is that duality can be considered as a basic structure of mathematical thinking, thereby opening new horizons for the research on the history and the philosophy of mathematics and the reflection on mathematics in general. The volume will appeal not only to experts in the discipline but also to advanced students of mathematics, history, and philosophy intrigued by the complexities of this captivating subject matter.
Philosophical Transactions Of The Royal Society
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Author :
language : en
Publisher:
Release Date : 1894
Philosophical Transactions Of The Royal Society written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1894 with categories.