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Author: Paolo Bussotti
Publisher: Springer Nature
ISBN: 3031542665
Category :
Languages : en
Pages : 576
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Book Description
Author: Paolo Bussotti
Publisher: Springer Nature
ISBN: 3031542665
Category :
Languages : en
Pages : 576
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Book Description
Author: Jeremy Gray
Publisher: Springer Science & Business Media
ISBN: 0857290606
Category : Mathematics
Languages : en
Pages : 390
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Book Description
Based on the latest historical research, Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Topics covered in the first part of the book are projective geometry, especially the concept of duality, and non-Euclidean geometry. The book then moves on to the study of the singular points of algebraic curves (Plücker’s equations) and their role in resolving a paradox in the theory of duality; to Riemann’s work on differential geometry; and to Beltrami’s role in successfully establishing non-Euclidean geometry as a rigorous mathematical subject. The final part of the book considers how projective geometry rose to prominence, and looks at Poincaré’s ideas about non-Euclidean geometry and their physical and philosophical significance. Three chapters are devoted to writing and assessing work in the history of mathematics, with examples of sample questions in the subject, advice on how to write essays, and comments on what instructors should be looking for.
Author: Luigi Cremona
Publisher: Forgotten Books
ISBN: 9781440089213
Category : Mathematics
Languages : en
Pages : 416
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Book Description
Excerpt from Elements of Projective Geometry: Translated by Charles Leudesdorf This book is not intended for those whose high mission it is to advance the progress of science; they would find in it nothing new, neither as regards principles, nor as regards methods. The propositions are all old; in fact, not a few of them owe their origin to mathematicians of the most remote antiquity. They may be traced back to Euclid (285 B.C.), to Apollonius of Perga (347 B.C.), to Pappus of Alexandria (4th century after Christ); to Desargues of Lyons (1593 - 1662); to Pascal (1633 - 1662); to De la Hire (1640 - 1718); to Newton (1642 - 1727); to Maclaurin (1698 - 1746); to J. H. Lambert (1738 - 1777), &c. The theories and methods which make of these propositions a homogeneous and harmonious whole it is usual to call modern, because they have been discovered or perfected by mathematicians of an age nearer to ours, such as Carnot, Brianchon, Poncelet, Mobius, Steiner, Chasles, Staudt, etc.; whose works were published in the earlier half of the present century. Various names have been given to this subject of which we are about to develop the fundamental principles. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com 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.
Author: Edwin Arthur Maxwell
Publisher: CUP Archive
ISBN:
Category : Geometry, Plane
Languages : en
Pages : 258
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Book Description
Author: H.S.M. Coxeter
Publisher: Springer Science & Business Media
ISBN: 9780387406237
Category : Mathematics
Languages : en
Pages : 180
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Book Description
In Euclidean geometry, constructions are made with ruler and compass. Projective geometry is simpler: its constructions require only a ruler. In projective geometry one never measures anything, instead, one relates one set of points to another by a projectivity. The first two chapters of this book introduce the important concepts of the subject and provide the logical foundations. The third and fourth chapters introduce the famous theorems of Desargues and Pappus. Chapters 5 and 6 make use of projectivities on a line and plane, respectively. The next three chapters develop a self-contained account of von Staudt's approach to the theory of conics. The modern approach used in that development is exploited in Chapter 10, which deals with the simplest finite geometry that is rich enough to illustrate all the theorems nontrivially. The concluding chapters show the connections among projective, Euclidean, and analytic geometry.
Author: Luigi Cremona
Publisher:
ISBN:
Category : Geometry, Projective
Languages : en
Pages : 380
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Book Description
Author: Luigi Cremona
Publisher:
ISBN:
Category :
Languages : en
Pages : 302
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Book Description
Author: Luigi Cremona
Publisher: Forgotten Books
ISBN: 9781528253093
Category : Mathematics
Languages : en
Pages : 370
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Book Description
Excerpt from Elements of Projective Geometry: Translated by Charles Leudesdorf Chapter VIII. Harmonic forms. Fundamental theorem (arts. 46, 49) Harmonic forms are projective (47, 48, 50, 51) Elementary properties (52 - 57) Constructions (5 8 - 60) About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com 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.
Author: Charles Jasper Joly
Publisher:
ISBN:
Category : Geometry, Projective
Languages : en
Pages : 118
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Book Description
Author: Oswald Veblen
Publisher:
ISBN:
Category : Geometry, Projective
Languages : en
Pages : 364
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Book Description
