Spherical buildings are certain combinatorial simplicial complexes intro- duced, at first in the language of "e;incidence geometries,"e; to provide a sys- tematic geometric interpretation of the exceptional complex Lie groups.
This book grew out of our lectures given in the Oberseminar on 'Cod- ing Theory and Number Theory' at the Mathematics Institute of the Wiirzburg University in the Summer Semester, 2001.
Der zweite Band dieser Reihe macht Lust auf Mathematik, und zwar auf Mathematik, die wie die Elementargeometrie im ersten Band lange Zeit den Schulunterricht geprägt hat.
This volume collects contributions by leading experts in the area of commutative algebra related to the INdAM meeting "e;Homological and Computational Methods in Commutative Algebra"e; held in Cortona (Italy) from May 30 to June 3, 2016 .
This book presents original peer-reviewed contributions from the London Mathematical Society (LMS) Midlands Regional Meeting and Workshop on 'Galois Covers, Grothendieck-Teichmuller Theory and Dessinsd'Enfants', which took place at the University of Leicester, UK, from 4 to 7 June, 2018.
A study of topology and geometry, beginning with a comprehensible account of the extraordinary and rather mysterious impact of mathematical physics, and especially gauge theory, on the study of the geometry and topology of manifolds.
This textbook covers topics of undergraduate mathematics in abstract algebra, geometry, topology and analysis with the purpose of connecting the underpinning key ideas.
Starting from an undergraduate level, this book systematically develops the basics of* Calculus on manifolds, vector bundles, vector fields and differential forms,* Lie groups and Lie group actions,* Linear symplectic algebra and symplectic geometry,* Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory.
This book contains a collection of fifteen articles and is dedicated to the sixtieth birthdays of Lex Renner and Mohan Putcha, the pioneers of the field of algebraic monoids.
A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second EditionThe long-anticipated revision of this well-liked textbook offers many new additions.
The problems being solved by invariant theory are far-reaching generalizations and extensions of problems on the "e;reduction to canonical form"e; of various is almost the same thing, projective geometry.
This volume honors Sir Peter Swinnerton-Dyer''s mathematical career spanning more than 60 years'' of amazing creativity in number theory and algebraic geometry.
The aim of this book is to provide an overview of some of the progress made by the Spanish Network of Geometric Analysis (REAG, by its Spanish acronym) since its born in 2007.
This book contains the latest developments of the theory of discontinuous groups acting on homogenous spaces, from basic concepts to a comprehensive exposition.
Mathematics in Science and Engineering, Volume 51: Convex Structures and Economic Theory consists of an account of the theory of convex sets and its application to several basic problems that originate in economic theory and adjacent subject matter.
"e;Spherical soap bubbles"e;, isometric minimal immersions of round spheres into round spheres, or spherical immersions for short, belong to a fast growing and fascinating area between algebra and geometry.
Differential and Riemannian Geometry focuses on the methodologies, calculations, applications, and approaches involved in differential and Riemannian geometry.
A significant number of works have set forth, over the past decades, the emphasis laid by seventeenth-century mathematicians and philosophers on motion and kinematic notions in geometry.
Double Sequence Spaces and Four-Dimensional Matrices provides readers with a clear introduction to the spaces of double sequences and series, as well as their properties.