Contemporary Trends in Discrete Mathematics

Contemporary Trends in Discrete Mathematics
Author: Ronald L. Graham
Publisher: American Mathematical Soc.
Total Pages: 412
Release: 1999-01-01
Genre: Mathematics
ISBN: 9780821885819

Discrete mathematics stands among the leading disciplines of mathematics and theoretical computer science. This is due primarily to its increasing role in university curriculae and its growing importance in applications ranging from optimization to molecular biology. An inaugural conference was held cooperatively by DIMATIA and DIMACS to focus on the versatility, width, and depth of current progress in the subject area. This volume offers a well-balanced blend of research and survey papers reflecting the exciting, attractive topics in contemporary discrete mathematics. Discussed in the book are topics such as graph theory, partially ordered sets, geometrical Ramsey theory, computational complexity issues and applications.

Contemporary Trends in Discrete Mathematics

Contemporary Trends in Discrete Mathematics
Author: Ronald L. Graham
Publisher: American Mathematical Soc.
Total Pages: 409
Release: 1999
Genre: Mathematics
ISBN: 0821809636

Twenty-five papers from the May 1997 conference discuss current trends in discrete mathematics in all its versatility, width, and depth. The largest number of papers deal with graph theory. Other topics include a more structural (algebraic) approach, combinatorial questions of an algebraic nature, problems related to computer science, and applications. Annotation copyrighted by Book News, Inc., Portland, OR

New Trends in Discrete and Computational Geometry

New Trends in Discrete and Computational Geometry
Author: Janos Pach
Publisher: Springer Science & Business Media
Total Pages: 342
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642580432

Discrete and computational geometry are two fields which in recent years have benefitted from the interaction between mathematics and computer science. The results are applicable in areas such as motion planning, robotics, scene analysis, and computer aided design. The book consists of twelve chapters summarizing the most recent results and methods in discrete and computational geometry. All authors are well-known experts in these fields. They give concise and self-contained surveys of the most efficient combinatorical, probabilistic and topological methods that can be used to design effective geometric algorithms for the applications mentioned above. Most of the methods and results discussed in the book have not appeared in any previously published monograph. In particular, this book contains the first systematic treatment of epsilon-nets, geometric tranversal theory, partitions of Euclidean spaces and a general method for the analysis of randomized geometric algorithms. Apart from mathematicians working in discrete and computational geometry this book will also be of great use to computer scientists and engineers, who would like to learn about the most recent results.

Recent Trends in Combinatorics

Recent Trends in Combinatorics
Author: Andrew Beveridge
Publisher: Springer
Total Pages: 775
Release: 2016-04-12
Genre: Mathematics
ISBN: 3319242989

This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute for Mathematics and its Applications during Fall 2014, when combinatorics was the focus. Leading experts have written surveys of research problems, making state of the art results more conveniently and widely available. The three-part structure of the volume reflects the three workshops held during Fall 2014. In the first part, topics on extremal and probabilistic combinatorics are presented; part two focuses on additive and analytic combinatorics; and part three presents topics in geometric and enumerative combinatorics. This book will be of use to those who research combinatorics directly or apply combinatorial methods to other fields.

Trends in Contemporary Mathematics

Trends in Contemporary Mathematics
Author: Vincenzo Ancona
Publisher: Springer
Total Pages: 309
Release: 2014-08-27
Genre: Mathematics
ISBN: 3319052543

The topics faced in this book cover a large spectrum of current trends in mathematics, such as Shimura varieties and the Lang lands program, zonotopal combinatorics, non linear potential theory, variational methods in imaging, Riemann holonomy and algebraic geometry, mathematical problems arising in kinetic theory, Boltzmann systems, Pell's equations in polynomials, deformation theory in non commutative algebras. This work contains a selection of contributions written by international leading mathematicians who were speakers at the "INdAM Day", an initiative born in 2004 to present the most recent developments in contemporary mathematics.

Discrete Structures with Contemporary Applications

Discrete Structures with Contemporary Applications
Author: Alexander Stanoyevitch
Publisher:
Total Pages: 0
Release: 2024-10-14
Genre: Computers
ISBN: 9781032917368

Reflecting many of the recent advances and trends in this area, this classroom-tested text covers the core topics in discrete structures as outlined by the ACM and explores an assortment of novel applications, including simulations, genetic algorithms, network flows, probabilistic primality tests, public key cryptography, and coding theory. It p

New Trends in Intuitive Geometry

New Trends in Intuitive Geometry
Author: Gergely Ambrus
Publisher: Springer
Total Pages: 458
Release: 2018-11-03
Genre: Mathematics
ISBN: 3662574136

This volume contains 17 surveys that cover many recent developments in Discrete Geometry and related fields. Besides presenting the state-of-the-art of classical research subjects like packing and covering, it also offers an introduction to new topological, algebraic and computational methods in this very active research field. The readers will find a variety of modern topics and many fascinating open problems that may serve as starting points for research.

Number Theory and Discrete Mathematics

Number Theory and Discrete Mathematics
Author: Ashok K. Agarwal
Publisher: Springer Science & Business Media
Total Pages: 336
Release: 2002
Genre: Mathematics
ISBN: 9783764367206

This volume contains the proceedings of this conference and collects 29 articles written by some of the leading specialists worldwide. Most of the papers describe recent trends and problems--their current status, as well as historical backgrounds. (Midwest).

Recent Trends in Algebraic Combinatorics

Recent Trends in Algebraic Combinatorics
Author: Hélène Barcelo
Publisher: Springer
Total Pages: 362
Release: 2019-01-21
Genre: Mathematics
ISBN: 3030051412

This edited volume features a curated selection of research in algebraic combinatorics that explores the boundaries of current knowledge in the field. Focusing on topics experiencing broad interest and rapid growth, invited contributors offer survey articles on representation theory, symmetric functions, invariant theory, and the combinatorics of Young tableaux. The volume also addresses subjects at the intersection of algebra, combinatorics, and geometry, including the study of polytopes, lattice points, hyperplane arrangements, crystal graphs, and Grassmannians. All surveys are written at an introductory level that emphasizes recent developments and open problems. An interactive tutorial on Schubert Calculus emphasizes the geometric and topological aspects of the topic and is suitable for combinatorialists as well as geometrically minded researchers seeking to gain familiarity with relevant combinatorial tools. Featured authors include prominent women in the field known for their exceptional writing of deep mathematics in an accessible manner. Each article in this volume was reviewed independently by two referees. The volume is suitable for graduate students and researchers interested in algebraic combinatorics.

Contemporary Studies in Discrete Mathematics

Contemporary Studies in Discrete Mathematics
Author: K.A. Germina
Publisher: Sudev Naduvath
Total Pages: 77
Release: 2017-10-20
Genre: Mathematics
ISBN:

It is the book version of the e-journal "Contemporary Studies in Discrete Mathematics" published by Contemporary Studies in Discrete Mathematics, Thrissur, India.