Discrete mathematics

Recent technology involves large-scale physical or engineering systems consisting of thousands of interconnected elementary units.

For more than 35 years now, George B.

Computational geometry as an area of research in its own right emerged in the early seventies of this century.

The problem of uniform distribution of sequences initiated by Hardy, Little- wood and Weyl in the 1910's has now become an important part of number theory.

It is gratifying that this textbook is still sufficiently popular to warrant a third edition.

Discrete and computational geometry are two fields which in recent years have benefitted from the interaction between mathematics and computer science.

Chemical bonds, their intrinsic energies in ground-state molecules and the energies required for their actual cleavage are the subject of this book.

The present monograph is a continuation of Cyvin SJ, Brunvoll J and Cyvin (1991c), a reference to be found in Bibliography.

In the last 25 years, the fuzzy set theory has been appliedin many disciplines such as operations research, managementscience, control theory,artificial intelligence/expertsystem, etc.

Dantzig's development of linear programming into one of the most applicable optimization techniques has spread interest in the algebra of linear inequalities, the geometry of polyhedra, the topology of convex sets, and the analysis of convex functions.

Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics.

This book constitutes the proceedings of the 14th International Workshop on Computer Algebra in Scientific Computing, CASC 2012, held in Maribor, Slovenia, in September 2012.

From the reviews of the previous editions "e;.

This book constitutes the refereed proceedings of the 13th International Workshop on Computer Algebra in Scientific Computing, CASC 2011, held in Kassel, Germany, in September 2011.

The CASC Workshops are traditionally held in turn in the Commonwealth of IndependentStates(CIS)andoutsideCIS(Germanyinparticular,but,attimes, also other countries with lively CA communities).

Aside from the obvious statement that it should be a theory capable of unifying general relativity and quantum field theory, not much is known about the true nature of quantum gravity.

This book constitutes the refereed proceedings of the 11th International Workshop on Computer Algebra in Scientific Computing, CASC 2009, held in Kobe, Japan, in September 2009.

The 9th ISMM conference covered a very diverse collection of papers, bound together by the central themes of mathematical morphology, namely, the tre- ment of images in terms of set and lattice theory.

From the reviews of the 2nd edition The substantial development effort of this text clearly shows through in this new edition with its clear writing, good organisation, comprehensive coverage of essential theory, and well-chosen applications.

Combinatorial algebraic topology is a fascinating and dynamic field at the crossroads of algebraic topology and discrete mathematics.

The aim of the book is to give a unified approach to new developments in discrete potential theory and infinite network theory.

Crypto'92 took place on August 16-20, 1992.

The CRYPTO '93 conference was sponsored by the International Association for Cryptologic Research (IACR) and Bell-Northern Research (a subsidiary of Northern Telecom), in co-operation with the IEEE Computer Society Technical Committee.

Eurocrypt is a series of open workshops on the theory andapplication of cryptographic techniques.

The CRYPTO '94 conference is sponsored by the International Association for Cryptologic Research (IACR), in co-operation with the IEEE Computer Society Technical Committee on Security and Privacy.

The number field sieve is an algorithm for finding the prime factors of large integers.

A series of workshops devoted to modern cryptography beganin Santa Barbara,California in 1981 and was followed in1982 by a European counterpart in Burg Feuerstein, Germany.

This book is about orthomorphisms and complete mappings ofgroups, and related constructions of orthogonal latinsquares.

From Gauss to G|del, mathematicians have sought an efficientalgorithm to distinguish prime numbers from compositenumbers.

This second edition of "e;Polynomial representations of GL (K)"e; consists of n two parts.

Eurocrypt is a conference devoted to all aspects of cryptologic research, both theoretical and practical, sponsored by the International Association for Cryptologic Research (IACR).

The central theme of this volume is commutative algebra, with emphasis on special graded algebras, which are increasingly of interest in problems of algebraic geometry, combinatorics and computer algebra.

A famous theorem in the theory of linear spaces states thatevery finite linear space has at least as many lines aspoints.

A series of open workshops devoted to modem cryptology began in Santa Barbara, California in 1981 and was followed in 1982 by a European counterpart in Burg Feurstein, Germany.

The Pontryagin-van Kampen duality theorem and the Bochner theorem on positive-definite functions are known to be true for certain abelian topological groups that are not locally compact.

This book constitutes the refereed proceedings of three workshops on the application of evolutionary programming and algorithms in various domains; these workshops were held in conjunction with the 5th European Conference on Genetic Programming, EuroGP 2002, in Kinsale, Ireland, in April 2002.

Combinatorial enumeration is a readily accessible subject full of easily stated, but sometimes tantalizingly difficult problems.

This book deals with the geometrical structure of finite dimensional normed spaces, as the dimension grows to infinity.