Author: Eric Ralph PaërlPublisher:
ISBN:
Category :
Languages : nl
Pages : 73
Book Description
Zero mass equations and projective geometry
Author: Eric Ralph PaërlZero Mass Equations and Projective Geometry
Author: Eric Ralph PaërlPublisher:
ISBN:
Category : Geometry, Projective
Languages : en
Pages : 94
Book Description
Representations of the Lorentz Group and Projective Geometry
Author: Eric Ralph PaërlPublisher:
ISBN:
Category : Geometry, Projective
Languages : en
Pages : 236
Book Description
Projective Geometry
Author: Albrecht BeutelspacherPublisher: Cambridge University Press
ISBN: 9780521483643
Category : Mathematics
Languages : en
Pages : 272
Book Description
Projective geometry is not only a jewel of mathematics, but has also many applications in modern information and communication science. This book presents the foundations of classical projective and affine geometry as well as its important applications in coding theory and cryptography. It also could serve as a first acquaintance with diagram geometry. Written in clear and contemporary language with an entertaining style and around 200 exercises, examples and hints, this book is ideally suited to be used as a textbook for study in the classroom or on its own.
The Four Pillars of Geometry
Author: John StillwellPublisher: Springer Science & Business Media
ISBN: 0387255303
Category : Mathematics
Languages : en
Pages : 240
Book Description
This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises
Chasles and the Projective Geometry
Author: Paolo BussottiPublisher: Springer Nature
ISBN: 3031542665
Category :
Languages : en
Pages : 576
Book Description
Mathematical Centre Tracts
Author: The Projective Heat Map
Author: Richard Evan SchwartzPublisher: American Mathematical Soc.
ISBN: 1470435144
Category : Mathematics
Languages : en
Pages : 210
Book Description
This book introduces a simple dynamical model for a planar heat map that is invariant under projective transformations. The map is defined by iterating a polygon map, where one starts with a finite planar -gon and produces a new -gon by a prescribed geometric construction. One of the appeals of the topic of this book is the simplicity of the construction that yet leads to deep and far reaching mathematics. To construct the projective heat map, the author modifies the classical affine invariant midpoint map, which takes a polygon to a new polygon whose vertices are the midpoints of the original. The author provides useful background which makes this book accessible to a beginning graduate student or advanced undergraduate as well as researchers approaching this subject from other fields of specialty. The book includes many illustrations, and there is also a companion computer program.
Geometry
Author: John R. SilvesterPublisher: Oxford University Press, USA
ISBN: 9780198508250
Category : Mathematics
Languages : en
Pages : 332
Book Description
A first-year geometry teacher at King's College, London, UK guides the reader through the basic concepts and techniques of geometry, from Euclid through to algebraic geometry, in the most personable and friendly, yet stimulating, manner possible. With the stated purpose of exciting students to reason and calculate, the author borrows ideas and techniques from analysis and algebra, which he feels should ideally be studied alongside this material. Suitable for students who took little or no geometry at school, the text includes numerous exercises with answers provided. c. Book News Inc.
Resolution of Curve and Surface Singularities in Characteristic Zero
Author: K. KiyekPublisher: Springer Science & Business Media
ISBN: 1402020295
Category : Mathematics
Languages : en
Pages : 506
Book Description
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}.