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ISBN: 9780548967164
ID: 9780548967164
A TREATISE ON THE DIFFERENTIAL GEOMETRY OF CURVES AND SURFACES. PREFACE: This book is a development from courses which I have given in Princeton for a number of years. During this time I have come to feel that more would be accomplished by my students if they had an introductory treatise written in English and otherwise adapted to the use of men beginning their graduate work. Chapter I is devoted to the theory of twisted curves, the method in general being that which is usually followed in A TREATISE ON THE DIFFERENTIAL GEOMETRY OF CURVES AND SURFACES. PREFACE: This book is a development from courses which I have given in Princeton for a number of years. During this time I have come to feel that more would be accomplished by my students if they had an introductory treatise written in English and otherwise adapted to the use of men beginning their graduate work. Chapter I is devoted to the theory of twisted curves, the method in general being that which is usually followed in discussions of this subject. But in addition I have introduced the idea of moving axes, and have derived the formulas pertaining thereto from the previously obtained Freiiet-Serret fornmlas. In this way the student is made familiar with a method which is similar to that used by Darboux in the tirst volume of his Lepons, and to that of Cesaro in his Gcomctria Ittiriiiseca. This method is not only of great advantage in the treat ment of certain topics and in the solution of problems, but it is valu able iu developing geometrical thinking. The remainder of the book may be divided into threo parts. The iirst, consisting of Chapters II-VI, deals with the geometry of a sur face in the neighborhood of a point and the developments therefrom, such as curves and systems of curves defined by differential equa tions. To a large extent the method is that of Gauss, by which the properties of a surface are derived from the discussion of two qxiad ratie differential forms. However, little or no space is given to the algebraic treatment of differential forms and their invariants. In addition, the method of moving axes, as defined in the first chapter, has been extended so as to be applicable to an investigation of the properties of surf ac. es and groups of surfaces. The extent of the theory concerning ordinary points is so great that no attempt has been made to consider the exceptional problems. Por a discussion of uch questions as the existence of integrals of differential equa tions and Books, Mathematics~~Geometry~~Differential, Treatise-On-The-Differential-Geometry-Of-Curves-And-Surfaces~~Luther-Pfahler-Eisenhart, 999999999, A Treatise on the Differential Geometry of Curves and Surfaces, Luther Pfahler Eisenhart, 0548967164, Kessinger Publishing Company, , , , , Kessinger Publishing Company
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Luther Pfahler Eisenhart:
A Treatise on the Differential Geometry of Curves and Surfaces (1909) - hardcoverISBN: 0548967164
Hardcover, [EAN: 9780548967164], Kessinger Publishing, Kessinger Publishing, Book, [PU: Kessinger Publishing], Kessinger Publishing, 278353, Geometry & Topology, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922518, Chaos, 922944, Recreational, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 564352, Mathematics, 570902, Algebra, 570874, Applied Mathematics, 570912, Calculus & Mathematical Analysis, 570934, Combinatorics & Graph Theory, 570936, Geometry, 570964, Mathematical Theory, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books
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2008
ISBN: 9780548967164
ID: 9780548967164
Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork. Books, Mathematics~~Geometry~~Differential, Treatise-On-The-Differential-Geometry-Of-Curves-And-Surfaces~~Luther-Pfahler-Eisenhart, 999999999, A Treatise on the Differential Geometry of Curves and Surfaces, Luther Pfahler Eisenhart, 0548967164, Kessinger Publishing Company, 6/28/2008 12:00:00 AM, , , , Kessinger Publishing Company
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ISBN: 9780548967164
Hardback, [PU: Kessinger Publishing], This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true t, Differential & Riemannian Geometry
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Title: | A Treatise on the Differential Geometry of Curves and Surfaces (1909) |
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Details of the book - A Treatise on the Differential Geometry of Curves and Surfaces (1909)
EAN (ISBN-13): 9780548967164
ISBN (ISBN-10): 0548967164
Hardcover
Publishing year: 2008
Publisher: KESSINGER PUB CO
488 Pages
Weight: 0,885 kg
Language: eng/Englisch
Book in our database since 20.07.2008 18:33:13
Book found last time on 27.04.2016 13:21:14
ISBN/EAN: 0548967164
ISBN - alternate spelling:
0-548-96716-4, 978-0-548-96716-4
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