Author: Bruno Benedetti Publisher: Springer ISBN: 3319201557 Category : Mathematics Languages : en Pages : 222
Book Description
Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects. This book arises from the INdAM conference "CoMeTA 2013 - Combinatorial Methods in Topology and Algebra,'' which was held in Cortona in September 2013. The event brought together emerging and leading researchers at the crossroads of Combinatorics, Topology and Algebra, with a particular focus on new trends in subjects such as: hyperplane arrangements; discrete geometry and combinatorial topology; polytope theory and triangulations of manifolds; combinatorial algebraic geometry and commutative algebra; algebraic combinatorics; and combinatorial representation theory. The book is divided into two parts. The first expands on the topics discussed at the conference by providing additional background and explanations, while the second presents original contributions on new trends in the topics addressed by the conference.
Author: Dimitry Kozlov Publisher: Springer Science & Business Media ISBN: 9783540730514 Category : Mathematics Languages : en Pages : 416
Book Description
This volume is the first comprehensive treatment of combinatorial algebraic topology in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology. Readers - graduate students and working mathematicians alike - will probably find particularly useful the second part, which contains an in-depth discussion of the major research techniques of combinatorial algebraic topology. Although applications are sprinkled throughout the second part, they are principal focus of the third part, which is entirely devoted to developing the topological structure theory for graph homomorphisms.
Author: John R. Harper Publisher: American Mathematical Soc. ISBN: 9780821850398 Category : Mathematics Languages : en Pages : 372
Book Description
A survey of the areas where combinatorial methods have proven especially fruitful: topology and combinatorial group theory, knot theory, 3-manifolds, homotopy theory and infinite dimensional topology, and four manifolds and algebraic surfaces.
Author: Vladimir Shpilrain Publisher: Springer Science & Business Media ISBN: 038721724X Category : Mathematics Languages : en Pages : 322
Book Description
The main purpose of this book is to show how ideas from combinatorial group theory have spread to two other areas of mathematics: the theory of Lie algebras and affine algebraic geometry. Some of these ideas, in turn, came to combinatorial group theory from low-dimensional topology in the beginning of the 20th Century.
Author: Dimitry Kozlov Publisher: Springer Science & Business Media ISBN: 354071961X Category : Mathematics Languages : en Pages : 392
Book Description
This volume is the first comprehensive treatment of combinatorial algebraic topology in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology. Readers - graduate students and working mathematicians alike - will probably find particularly useful the second part, which contains an in-depth discussion of the major research techniques of combinatorial algebraic topology. Although applications are sprinkled throughout the second part, they are principal focus of the third part, which is entirely devoted to developing the topological structure theory for graph homomorphisms.
Author: Michael Henle Publisher: Courier Corporation ISBN: 9780486679662 Category : Mathematics Languages : en Pages : 340
Book Description
Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required.Bibliography. 1979 edition.
Author: Ashish K. Srivastava Publisher: American Mathematical Soc. ISBN: 1470443686 Category : Education Languages : en Pages : 357
Book Description
This book contains the proceedings of the AMS Special Session, in honor of S. K. Jain's 80th birthday, on Categorical, Homological and Combinatorial Methods in Algebra held from March 16–18, 2018, at Ohio State University, Columbus, Ohio. The articles contained in this volume aim to showcase the current state of art in categorical, homological and combinatorial aspects of algebra.
Author: Mark de Longueville Publisher: Springer Science & Business Media ISBN: 1441979093 Category : Mathematics Languages : en Pages : 246
Book Description
This undergraduate textbook in topological combinatorics covers such topics as fair division, graph coloring problems, evasiveness of graph properties, and embedding problems from discrete geometry. Includes many figures and exercises.
Author: Bruno Benedetti
Author: Dimitry Kozlov
Author: 
Author: John R. Harper
Author: Vladimir Shpilrain
Author: Dimitry Kozlov
Author: Michael Henle
Author: Ashish K. Srivastava
Author: Mark de Longueville
Author: Daniel E. Cohen