£52.50

Poncelet's Theorem

Geometry & Topology

Price data last checked 62 day(s) ago - refreshing...

View at Amazon

Price History & Forecast

Last 29 days • 29 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 29 days • 1 price levels

Days at Price

Price Analysis

Most common price: £53 (29 days, 100.0%)

Price range: £53 - £53

Price levels: 1 different prices over 29 days

Description

Poncelet's theorem is a famous result in algebraic geometry, dating to the early part of the nineteenth century. It concerns closed polygons inscribed in one conic and circumscribed about another. The theorem is of great depth in that it relates to a large and diverse body of mathematics. There are several proofs of the theorem, none of which is elementary. A particularly attractive feature of the theorem, which is easily understood but difficult to prove, is that it serves as a prism through which one can learn and appreciate a lot of beautiful mathematics. This book stresses the modern approach to the subject and contains much material not previously available in book form. It also discusses the relation between Poncelet's theorem and some aspects of queueing theory and mathematical billiards. The proof of Poncelet's theorem presented in this book relates it to the theory of elliptic curves and exploits the fact that such curves are endowed with a group structure. The book also treats the real and degenerate cases of Poncelet's theorem. These cases are interesting in themselves, and their proofs require some other considerations.The real case is handled by employing notions from dynamical systems. The material in this book should be understandable to anyone who has taken the standard courses in undergraduate mathematics. To achieve this, the author has included in the book preliminary chapters dealing with projective geometry, Riemann surfaces, elliptic functions, and elliptic curves. The book also contains numerous figures illustrating various geometric concepts.

Product Specifications

Format: hardcover
ASIN: 0821843753
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 01 December 2008
Listed Since: 11 July 2008

Barcode

No barcode data available

Poncelet's Theorem

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Geometry and Billiards (Student Mathematical Library)

Lectures on Analytic Differential Equations (Graduate Studies in Mathematics)

Effective Methods in Algebraic Geometry: 94 (Progress in Mathematics)

Basic Algebraic Geometry (Springer Study Edition)

Rational Points on Elliptic Curves (Undergraduate Texts in Mathematics)

Algebraic Geometry: Notes on a Course (Graduate Studies in Mathematics)

Hypoelliptic Laplacian and Bott–Chern Cohomology: A Theorem of Riemann–Roch–Grothendieck in Complex Geometry: 305 (Progress in Mathematics, 305)

Differential Geometry Of Curves And Surfaces With Singularities: 1 (Series In Algebraic And Differential Geometry)

Birational Geometry, Rational Curves, and Arithmetic

Algebraic Geometry: An Introduction (Universitext)

Capacity Theory with Local Rationality: The Strong Fekete-Szego Theorem on Curves (Mathematical Surveys and Monographs)

Potential Theory and Dynamics on the Berkovich Projective Line (Mathematical Surveys and Monographs)

A Study of Singularities on Rational Curves Via Syzygies (Memoirs of the American Mathematical Society)

An Algebraic Approach to Geometry: Geometric Trilogy II

Conics and Cubics: A Concrete Introduction to Algebraic Curves (Undergraduate Texts in Mathematics)

Parabolic Geometries: Background and General Theory v. 1 (Mathematical Surveys and Monographs)

Algebraic Curves over a Finite Field (Princeton Series in Applied Mathematics): 20

Vector Bundles on Complex Projective Spaces: 3 (Progress in Mathematics, 3)

Plane Algebraic Curves (Student Mathematical Library)

Structural Properties of Polylogarithms - AMS Mathematics Book

Affine Algebraic Geometry: Geometry Of Polynomial Rings: 11 (Series on University Mathematics)

Perverse Sheaves and Applications to Representation Theory (Mathematical Surveys and Monographs)

Polytopes, Rings, and K-Theory (Springer Monographs in Mathematics)

Number Theory: Algebraic Numbers and Functions (Graduate Studies in Mathematics)