Lectures on the Theory of Plane Curves
Author: Surendramohan Ganguli
Publisher:
Published: 1919
Total Pages: 152
ISBN-13:
DOWNLOAD EBOOKRead and Download eBook Full
Author: Surendramohan Ganguli
Publisher:
Published: 1919
Total Pages: 152
ISBN-13:
DOWNLOAD EBOOKAuthor: Surendramohan Ganguli
Publisher:
Published: 1931
Total Pages: 426
ISBN-13:
DOWNLOAD EBOOKAuthor: Ernst Kunz
Publisher: Springer Science & Business Media
Published: 2007-06-10
Total Pages: 286
ISBN-13: 0817644431
DOWNLOAD EBOOK* 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
Publisher: Princeton University Press
Published: 2016-03-02
Total Pages: 180
ISBN-13: 1400881927
DOWNLOAD EBOOKThis 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
Published: 2013-09-03
Total Pages: 295
ISBN-13: 1483152421
DOWNLOAD EBOOKMechanisms 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: Harold Hilton
Publisher:
Published: 1920
Total Pages: 416
ISBN-13:
DOWNLOAD EBOOKAuthor: Vladimir Igorevich Arnolʹd
Publisher: American Mathematical Soc.
Published:
Total Pages: 76
ISBN-13: 9780821882641
DOWNLOAD EBOOKThis text is the first exposition of a new theory which unifies the theories of knots, plane curves, caustics, and wavefronts in differential, symplectic, and contact geometry and topology.
Author: J. Dennis Lawrence
Publisher: Courier Corporation
Published: 2013-12-31
Total Pages: 244
ISBN-13: 0486167666
DOWNLOAD EBOOKDIVOne of the most beautiful aspects of geometry. Information on general properties, derived curves, geometric and analytic properties of each curve. 89 illus. /div
Author: Ernst Kunz
Publisher: Springer Science & Business Media
Published: 2007-06-10
Total Pages: 285
ISBN-13: 0817644431
DOWNLOAD EBOOK* 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: Gerd Fischer
Publisher: American Mathematical Soc.
Published: 2001
Total Pages: 249
ISBN-13: 0821821229
DOWNLOAD EBOOKThis 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.