Chapter 2 gives an elementary treatment of flat surfaces and describes Busers combinatorial method to construct a flat surface with a given group of isometries (a Buser surface)....Daugiau...
Mahler measure, a height function for polynomials, is the central theme of this book. It has many interesting properties, obtained by algebraic, analytic and combinatorial methods. It is the subject of several longstanding unsolved questions, such as...Daugiau...
Inspired by classical geometry, geometric group theory has in turn provided a variety of applications to geometry, topology, group theory, number theory and graph theory. This carefully written textbook provides a rigorous introduction to this rap...Daugiau...
This book examines the central principles of abelian harmonic analysis: Pontryagin duality, the Plancherel theorem and the Poisson summation formula, as well as their respective generalizations to non-abelian groups, including the Selberg trace formu...Daugiau...
(Išleidimo metai: 15-Oct-2014, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781489988263)
A Course in Topological Combinatorics is the first undergraduate textbook on the field of topological combinatorics, a subject that has become an active and innovative research area in mathematics over the last thirty years with growing app...Daugiau...
The primary intent of the book is to introduce an array of beautiful problems in a variety of subjects quickly, pithily and completely rigorously to graduate students and advanced undergraduates. The book takes a number of specific problems and solve...Daugiau...
This book examines the central principles of abelian harmonic analysis: Pontryagin duality, the Plancherel theorem and the Poisson summation formula, as well as their respective generalizations to non-abelian groups, including the Selberg trace formu...Daugiau...
(Išleidimo metai: 20-Sep-2012, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461445289)
Graph theory experienced a tremendous growth in the 20th century. One of the main reasons for this phenomenon is the applicability of graph theory in other disciplines such as physics, chemistry, psychology, sociology, and theoretical computer sci...Daugiau...
(Išleidimo metai: 18-Sep-2012, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781441979094)
A Course in Topological Combinatorics is the first undergraduate textbook on the field of topological combinatorics, a subject that has become an active and innovative research area in mathematics over the last thirty years with growing app...Daugiau...
(Išleidimo metai: 30-Aug-2011, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461407966)
This introductory text in graph theory focuses on partial cubes, which are graphs that are isometrically embeddable into hypercubes of an arbitrary dimension, as well as bipartite graphs, and cubical graphs. Currently, Graphs and Cubes is t...Daugiau...
Whilst it is a moot point amongst researchers, linear algebra is an important component in the study of graphs. This book illustrates the elegance and power of matrix techniques in the study of graphs by means of several results, both classical and r...Daugiau...
(Išleidimo metai: 02-Mar-2007, Paperback / softback, Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783540683759)
This book is based on two series of lectures given at a summer school on algebraic combinatorics at the Sophus Lie Centre in Nordfjordeid, Norway, in June 2003, one by Peter Orlik on hyperplane arrangements, and the other one by Volkmar Welker on fre...Daugiau...
(Išleidimo metai: 16-Nov-2001, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9780387953410)
Simply put, quantum calculus is ordinary calculus without taking limits. This undergraduate text develops two types of quantum calculi, the q-calculus and the h-calculus. As this book develops quantum calculus along the lines of traditional calculus,...Daugiau...
(Išleidimo metai: 11-Jun-2001, Paperback / softback, Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783540417446)
This book offers a comprehensive treatment of the exercises and case studies as well as summaries of the chapters of the book Linear Optimization and Extensions by Manfred Padberg. It covers the areas of linear programming and the optimization of l...Daugiau...
(Išleidimo metai: 17-Dec-1999, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9780387988597)
Graph theory has experienced a tremendous growth during the 20th century. One of the main reasons for this phenomenon is the applicability of graph theory in other disciplines such as physics, chemistry, psychology, sociology, and theoretical compute...Daugiau...
(Išleidimo metai: 19-Aug-1999, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9780387987941)
Sphere packings is one of the most fascinating and challenging subjects in mathematics. In the course of centuries, many exciting results have been obtained, ingenious methods created, related challenging problems proposed, and many surprising connec...Daugiau...
(Išleidimo metai: 25-Nov-1991, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9780387975993)
The first part of this text covers the main graph theoretic topics: connectivity, trees, traversability, planarity, colouring, covering, matching, digraphs, networks, matrices of a graph, graph theoretic algorithms, and matroids. These concepts are t...Daugiau...
