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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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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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2008, ISBN: 0548967164

Hardcover, [EAN: 9780548967164], Kessinger Publishing, Kessinger Publishing, Book, [PU: Kessinger Publishing], 2008-06-02, Kessinger Publishing, 278353, Geometry & Topology, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570936, Geometry, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books

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2008, ISBN: 0548967164

Hardcover, [EAN: 9780548967164], Kessinger Publishing, Kessinger Publishing, Book, [PU: Kessinger Publishing], 2008-06-02, Kessinger Publishing, 278353, Geometry & Topology, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570936, Geometry, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books

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ISBN: 9780548967164

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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 14.01.2017 14:40:49

ISBN/EAN: 0548967164

ISBN - alternate spelling:

0-548-96716-4, 978-0-548-96716-4

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