Lectures in Geometric Combinatorics

preview-18
  • Lectures in Geometric Combinatorics Book Detail

  • Author : Rekha R. Thomas
  • Release Date : 2006
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 156
  • ISBN 13 : 9780821841402
  • File Size : 63,63 MB

Lectures in Geometric Combinatorics by Rekha R. Thomas PDF Summary

Book Description: This book presents a course in the geometry of convex polytopes in arbitrary dimension, suitable for an advanced undergraduate or beginning graduate student. The book starts with the basics of polytope theory. Schlegel and Gale diagrams are introduced as geometric tools to visualize polytopes in high dimension and to unearth bizarre phenomena in polytopes. The heart of the book is a treatment of the secondary polytope of a point configuration and its connections to the statepolytope of the toric ideal defined by the configuration. These polytopes are relatively recent constructs with numerous connections to discrete geometry, classical algebraic geometry, symplectic geometry, and combinatorics. The connections rely on Grobner bases of toric ideals and other methods fromcommutative algebra. The book is self-contained and does not require any background beyond basic linear algebra. With numerous figures and exercises, it can be used as a textbook for courses on geometric, combinatorial, and computational aspects of the theory of polytopes.

Disclaimer: www.yourbookbest.com does not own Lectures in Geometric Combinatorics books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Lectures in Geometric Combinatorics

Lectures in Geometric Combinatorics

File Size : 21,21 MB
Total View : 1538 Views
DOWNLOAD

This book presents a course in the geometry of convex polytopes in arbitrary dimension, suitable for an advanced undergraduate or beginning graduate student. Th

Sum of Squares: Theory and Applications

Sum of Squares: Theory and Applications

File Size : 28,28 MB
Total View : 7201 Views
DOWNLOAD

This volume is based on lectures delivered at the 2019 AMS Short Course “Sum of Squares: Theory and Applications”, held January 14–15, 2019, in Baltimore,

Trends in Optimization

Trends in Optimization

File Size : 75,75 MB
Total View : 5730 Views
DOWNLOAD

This volume presents proceedings from the AMS short course, Trends in Optimization 2004, held at the Joint Mathematics Meetings in Phoenix (AZ). It focuses on s