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Author : Surendramohan Ganguli
Publisher : Unknown
Page : 152 pages
File Size : 45,7 Mb
Release : 1919
Category : Curves, Algebraic
ISBN : WISC:89098333438
Author : Ernst Kunz
Publisher : Springer Science & Business Media
Page : 286 pages
File Size : 54,6 Mb
Release : 2007-06-10
Category : Mathematics
ISBN : 9780817644437
* Employs proven conception of teaching topics in commutative algebra through a focus on their applications to algebraic geometry, a significant departure from other works on plane algebraic curves in which the topological-analytic aspects are stressed *Requires only a basic knowledge of algebra, with all necessary algebraic facts collected into several appendices * Studies algebraic curves over an algebraically closed field K and those of prime characteristic, which can be applied to coding theory and cryptography * Covers filtered algebras, the associated graded rings and Rees rings to deduce basic facts about intersection theory of plane curves, applications of which are standard tools of computer algebra * Examples, exercises, figures and suggestions for further study round out this fairly self-contained textbook
Author : David Eisenbud,Walter D. Neumann
Publisher : Princeton University Press
Page : 188 pages
File Size : 51,7 Mb
Release : 1985
Category : Mathematics
ISBN : 0691083819
This book gives a new foundation for the theory of links in 3-space modeled on the modern developmentby Jaco, Shalen, Johannson, Thurston et al. of the theory of 3-manifolds. The basic construction is a method of obtaining any link by "splicing" links of the simplest kinds, namely those whose exteriors are Seifert fibered or hyperbolic. This approach to link theory is particularly attractive since most invariants of links are additive under splicing. Specially distinguished from this viewpoint is the class of links, none of whose splice components is hyperbolic. It includes all links constructed by cabling and connected sums, in particular all links of singularities of complex plane curves. One of the main contributions of this monograph is the calculation of invariants of these classes of links, such as the Alexander polynomials, monodromy, and Seifert forms.
Author : Surendramohan Ganguli
Publisher : Unknown
Page : 426 pages
File Size : 50,9 Mb
Release : 1931
Category : Curves, Algebraic
ISBN : UCAL:$B526969
Author : Harold Hilton
Publisher : Unknown
Page : 416 pages
File Size : 52,5 Mb
Release : 1920
Category : Curves, Algebraic
ISBN : UCAL:$B526568
Author : Ernst Kunz
Publisher : Springer Science & Business Media
Page : 285 pages
File Size : 52,7 Mb
Release : 2007-06-10
Category : Mathematics
ISBN : 9780817644437
* Employs proven conception of teaching topics in commutative algebra through a focus on their applications to algebraic geometry, a significant departure from other works on plane algebraic curves in which the topological-analytic aspects are stressed *Requires only a basic knowledge of algebra, with all necessary algebraic facts collected into several appendices * Studies algebraic curves over an algebraically closed field K and those of prime characteristic, which can be applied to coding theory and cryptography * Covers filtered algebras, the associated graded rings and Rees rings to deduce basic facts about intersection theory of plane curves, applications of which are standard tools of computer algebra * Examples, exercises, figures and suggestions for further study round out this fairly self-contained textbook
Author : Eduardo Casas-Alvero
Publisher : Cambridge University Press
Page : 363 pages
File Size : 47,9 Mb
Release : 2000-08-31
Category : Mathematics
ISBN : 9780521789592
Comprehensive and self-contained exposition of singularities of plane curves, including new, previously unpublished results.
Author : David Eisenbud,Walter D. Neumann
Publisher : Princeton University Press
Page : 180 pages
File Size : 52,5 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400881925
This book gives a new foundation for the theory of links in 3-space modeled on the modern developmentby Jaco, Shalen, Johannson, Thurston et al. of the theory of 3-manifolds. The basic construction is a method of obtaining any link by "splicing" links of the simplest kinds, namely those whose exteriors are Seifert fibered or hyperbolic. This approach to link theory is particularly attractive since most invariants of links are additive under splicing. Specially distinguished from this viewpoint is the class of links, none of whose splice components is hyperbolic. It includes all links constructed by cabling and connected sums, in particular all links of singularities of complex plane curves. One of the main contributions of this monograph is the calculation of invariants of these classes of links, such as the Alexander polynomials, monodromy, and Seifert forms.
Author : I. I. Artobolevskii
Publisher : Elsevier
Page : 295 pages
File Size : 43,6 Mb
Release : 2013-09-03
Category : Technology & Engineering
ISBN : 9781483152424
Mechanisms for the Generation of Plane Curves focuses on the possibility of generating plane curves through kinematic linkages. The book first offers information on the basic theory of the generation of curves by mechanisms with higher pairs of the fourth class and fundamentals of the theory of the generation of curves using mechanisms with lower pairs of class V. Discussions focus on generation of curves by centrode and trajectory pairs; generation of curves with five-link and six-link kinematic chains; basic theorem for the mechanical generation of algebraic curves; and use of the properties of individual forms of transformation mechanisms. The text then examines mechanical generation of straight lines and circles and mechanical generation of ellipses, hyperbolas, and parabolas. The publication ponders on the mechanical generation of third degree curves and mechanical generation of curves of the fourth degree. Topics include mechanisms for generating curves of the focal type; mechanisms for generating special forms of curves; and mechanisms for the generation of the conchoids of the straight line and the circle. The text is a dependable reference for readers interested in the mechanisms involved in plane curves.
Author : Egbert Brieskorn,Horst Knörrer
Publisher : Springer Science & Business Media
Page : 732 pages
File Size : 43,7 Mb
Release : 2012-08-27
Category : Mathematics
ISBN : 9783034804936
In a detailed and comprehensive introduction to the theory of plane algebraic curves, the authors examine this classical area of mathematics that both figured prominently in ancient Greek studies and remains a source of inspiration and a topic of research to this day. Arising from notes for a course given at the University of Bonn in Germany, “Plane Algebraic Curves” reflects the authorsʼ concern for the student audience through its emphasis on motivation, development of imagination, and understanding of basic ideas. As classical objects, curves may be viewed from many angles. This text also provides a foundation for the comprehension and exploration of modern work on singularities. --- In the first chapter one finds many special curves with very attractive geometric presentations ‒ the wealth of illustrations is a distinctive characteristic of this book ‒ and an introduction to projective geometry (over the complex numbers). In the second chapter one finds a very simple proof of Bezout’s theorem and a detailed discussion of cubics. The heart of this book ‒ and how else could it be with the first author ‒ is the chapter on the resolution of singularities (always over the complex numbers). (...) Especially remarkable is the outlook to further work on the topics discussed, with numerous references to the literature. Many examples round off this successful representation of a classical and yet still very much alive subject. (Mathematical Reviews)
Author : Julian Lowell Coolidge
Publisher : Courier Corporation
Page : 554 pages
File Size : 52,5 Mb
Release : 2004-01-01
Category : Mathematics
ISBN : 0486495760
A thorough introduction to the theory of algebraic plane curves and their relations to various fields of geometry and analysis. Almost entirely confined to the properties of the general curve, and chiefly employs algebraic procedure. Geometric methods are much employed, however, especially those involving the projective geometry of hyperspace. 1931 edition. 17 illustrations.
Author : C. T. C. Wall
Publisher : Cambridge University Press
Page : 386 pages
File Size : 51,8 Mb
Release : 2004-11-15
Category : Mathematics
ISBN : 0521547741
Publisher Description
Author : Benjamin Williamson
Publisher : Unknown
Page : 496 pages
File Size : 49,7 Mb
Release : 1880
Category : Differential calculus
ISBN : OXFORD:591058602
Author : Surendramohan Ganguli
Publisher : Hassell Street Press
Page : 422 pages
File Size : 50,6 Mb
Release : 2021-09-09
Category : Electronic
ISBN : 1014036240
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Surendramohan Ganguli
Publisher : Hardpress Publishing
Page : 270 pages
File Size : 44,7 Mb
Release : 2012-08-01
Category : Electronic
ISBN : 129093861X
Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.