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Author : C. T. C. Wall
Publisher : Cambridge University Press
ISBN 13 : 9780521547741
Total Pages : 386 pages
Book Rating : 4.5/5 (477 download)
Download or read book Singular Points of Plane Curves written by C. T. C. Wall and published by Cambridge University Press. This book was released on 2004-11-15 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Author :
Publisher :
ISBN 13 : 9780511265372
Total Pages : 370 pages
Book Rating : 4.2/5 (653 download)
Download or read book Singular Points of Plane Curves written by and published by . This book was released on 2004 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of singularities uses techniques from algebra, algebraic geometry, complex analysis and topology. This book introduces graduate students to this attractive area of mathematics. It is based on a MSc course taught by the author and also is an original synthesis, with new views and results not found elsewhere.
Author : Eduardo Casas-Alvero
Publisher : Cambridge University Press
ISBN 13 : 0521789591
Total Pages : 363 pages
Book Rating : 4.5/5 (217 download)
Download or read book Singularities of Plane Curves written by Eduardo Casas-Alvero and published by Cambridge University Press. This book was released on 2000-08-31 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive and self-contained exposition of singularities of plane curves, including new, previously unpublished results.
Author : C. T. C. Wall
Publisher : Cambridge University Press
ISBN 13 : 9780521839044
Total Pages : 384 pages
Book Rating : 4.8/5 (39 download)
Download or read book Singular Points of Plane Curves written by C. T. C. Wall and published by Cambridge University Press. This book was released on 2004-11-08 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has arisen from the author's successful course at Liverpool University. The text covers all the essentials in a style that is detailed and expertly written by one of the foremost researchers and teachers working in the field. Ideal for either course use or independent study, the volume guides students through the key concepts that will enable them to move on to more detailed study or research within the field.
Author : Julian Lowell Coolidge
Publisher : Courier Corporation
ISBN 13 : 9780486495767
Total Pages : 554 pages
Book Rating : 4.4/5 (957 download)
Download or read book A Treatise on Algebraic Plane Curves written by Julian Lowell Coolidge and published by Courier Corporation. This book was released on 2004-01-01 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Surendramohan Ganguli
Publisher :
ISBN 13 :
Total Pages : 422 pages
Book Rating : 4.:/5 (42 download)
Download or read book The Theory of Plane Curves written by Surendramohan Ganguli and published by . This book was released on 1925 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. Kiyek
Publisher : Springer Science & Business Media
ISBN 13 : 1402020295
Total Pages : 506 pages
Book Rating : 4.4/5 (2 download)
Download or read book Resolution of Curve and Surface Singularities in Characteristic Zero written by K. Kiyek and published by Springer Science & Business Media. This book was released on 2012-09-11 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Curves The Point of View of Max Noether Probably the oldest references to the problem of resolution of singularities are found in Max Noether's works on plane curves [cf. [148], [149]]. And probably the origin of the problem was to have a formula to compute the genus of a plane curve. The genus is the most useful birational invariant of a curve in classical projective geometry. It was long known that, for a plane curve of degree n having l m ordinary singular points with respective multiplicities ri, i E {1, . . . , m}, the genus p of the curve is given by the formula = (n - l)(n - 2) _ ~ "r. (r. _ 1) P 2 2 L. . ,. •• . Of course, the problem now arises: how to compute the genus of a plane curve having some non-ordinary singularities. This leads to the natural question: can we birationally transform any (singular) plane curve into another one having only ordinary singularities? The answer is positive. Let us give a flavor (without proofs) 2 on how Noether did it • To solve the problem, it is enough to consider a special kind of Cremona trans formations, namely quadratic transformations of the projective plane. Let ~ be a linear system of conics with three non-collinear base points r = {Ao, AI, A }, 2 and take a projective frame of the type {Ao, AI, A ; U}.
Author : Ralph Howard Fowler
Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.:/5 (4 download)
Download or read book The Elementary Differential Geometry of Plane Curves written by Ralph Howard Fowler and published by . This book was released on 1920 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gerd Fischer
Publisher : American Mathematical Soc.
ISBN 13 : 0821821229
Total Pages : 249 pages
Book Rating : 4.8/5 (218 download)
Download or read book Plane Algebraic Curves written by Gerd Fischer and published by American Mathematical Soc.. This book was released on 2001 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an excellent introduction to algebraic geometry, which assumes only standard undergraduate mathematical topics: complex analysis, rings and fields, and topology. Reading this book will help establish the geometric intuition that lies behind the more advanced ideas and techniques used in the study of higher-dimensional varieties.
Author : Ernst Kunz
Publisher : Springer Science & Business Media
ISBN 13 : 0817644431
Total Pages : 286 pages
Book Rating : 4.8/5 (176 download)
Download or read book Introduction to Plane Algebraic Curves written by Ernst Kunz and published by Springer Science & Business Media. This book was released on 2007-06-10 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: * 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 : Elizabeth Buchanan Cowley
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.:/5 (5 download)
Download or read book Plane Curves of the Eighth Order written by Elizabeth Buchanan Cowley and published by . This book was released on 1908 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Eugene V. Shikin
Publisher : CRC Press
ISBN 13 : 1498710670
Total Pages : 560 pages
Book Rating : 4.4/5 (987 download)
Download or read book Handbook and Atlas of Curves written by Eugene V. Shikin and published by CRC Press. This book was released on 2014-07-22 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook and Atlas of Curves describes available analytic and visual properties of plane and spatial curves. Information is presented in a unique format, with one half of the book detailing investigation tools and the other devoted to the Atlas of Plane Curves. Main definitions, formulas, and facts from curve theory (plane and spatial) are discussed.
Author : Masaaki Umehara
Publisher : World Scientific
ISBN 13 : 9811237158
Total Pages : 387 pages
Book Rating : 4.8/5 (112 download)
Download or read book Differential Geometry Of Curves And Surfaces With Singularities written by Masaaki Umehara and published by World Scientific. This book was released on 2021-11-29 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unique and highly accessible approach to singularity theory from the perspective of differential geometry of curves and surfaces. It is written by three leading experts on the interplay between two important fields — singularity theory and differential geometry.The book introduces singularities and their recognition theorems, and describes their applications to geometry and topology, restricting the objects of attention to singularities of plane curves and surfaces in the Euclidean 3-space. In particular, by presenting the singular curvature, which originated through research by the authors, the Gauss-Bonnet theorem for surfaces is generalized to those with singularities. The Gauss-Bonnet theorem is intrinsic in nature, that is, it is a theorem not only for surfaces but also for 2-dimensional Riemannian manifolds. The book also elucidates the notion of Riemannian manifolds with singularities.These topics, as well as elementary descriptions of proofs of the recognition theorems, cannot be found in other books. Explicit examples and models are provided in abundance, along with insightful explanations of the underlying theory as well. Numerous figures and exercise problems are given, becoming strong aids in developing an understanding of the material.Readers will gain from this text a unique introduction to the singularities of curves and surfaces from the viewpoint of differential geometry, and it will be a useful guide for students and researchers interested in this subject.
Author : BRIESKORN
Publisher : Birkhäuser
ISBN 13 : 3034850972
Total Pages : 730 pages
Book Rating : 4.0/5 (348 download)
Download or read book Plane Algebraic Curves written by BRIESKORN and published by Birkhäuser. This book was released on 2013-11-11 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Keith Kendig
Publisher : MAA
ISBN 13 : 0883853531
Total Pages : 211 pages
Book Rating : 4.8/5 (838 download)
Download or read book A Guide to Plane Algebraic Curves written by Keith Kendig and published by MAA. This book was released on 2011 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to the plane algebraic curves that also serves as a natural entry point to algebraic geometry. This book can be used for an undergraduate course, or as a companion to algebraic geometry at graduate level.
Author : Henry Seely White
Publisher :
ISBN 13 :
Total Pages : 188 pages
Book Rating : 4.F/5 ( download)
Download or read book Plane Curves of the Third Order written by Henry Seely White and published by . This book was released on 1925 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joachim Kock
Publisher : Springer Science & Business Media
ISBN 13 : 0817644954
Total Pages : 162 pages
Book Rating : 4.8/5 (176 download)
Download or read book An Invitation to Quantum Cohomology written by Joachim Kock and published by Springer Science & Business Media. This book was released on 2007-12-27 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary introduction to stable maps and quantum cohomology presents the problem of counting rational plane curves Viewpoint is mostly that of enumerative geometry Emphasis is on examples, heuristic discussions, and simple applications to best convey the intuition behind the subject Ideal for self-study, for a mini-course in quantum cohomology, or as a special topics text in a standard course in intersection theory
