Discrete mathematics

Real Analysis: An Undergraduate Problem Book for Mathematicians, Applied Scientists, and Engineers is a classical Real Analysis/Calculus problem book.

This book is of interest to mathematicians and computer scientists working in finite mathematics and combinatorics.

The contributions in this book focus on a variety of topics related to discrepancy theory, comprising Fourier techniques to analyze discrepancy, low discrepancy point sets for quasi-Monte Carlo integration, probabilistic discrepancy bounds, dispersion of point sets, pair correlation of sequences, integer points in convex bodies, discrepancy with respect to geometric shapes other than rectangular boxes, and also open problems in discrepany theory.

Graph Theory has proved to be an extremely useful tool for solving combinatorial problems in such diverse areas as Geometry, Algebra, Number Theory, Topology, Operations Research and Optimization.

This book introduces oriented version of metrics and cuts and their multidimensional analogues, as well as partial metrics and weighted metrics.

Based on lectures held at the 8th edition of the series of summer schools in Villa de Leyva since 1999, this book presents an introduction to topics of current interest at the interface of geometry, algebra, analysis, topology and theoretical physics.

This book is devoted to numerical methods for solving sparse linear algebra systems of very large dimension which arise in the implementation of the mesh approximations of the partial differential equations.

This book presents two kinds of numerical methods for solving elliptic boundary value problems with singularities.

Ordinary differential equations (ODEs), differential-algebraic equations (DAEs) and partial differential equations (PDEs) are among the forms of mathematics most widely used in science and engineering.

Non-analogue Monte Carlo methods are useful when the direct simulation techniques are insufficient.

Parallel implementation of algorithms involves many difficult problems.

World Scientific Series in Applicable Analysis (WSSIAA) aims at reporting new developments of a high mathematical standard and of current interest.

This book provides a concise and modern introduction to Formal Languages and Machine Computation, a group of disparate topics in the theory of computation, which includes formal languages, automata theory, turing machines, computability, complexity, number-theoretic computation, public-key cryptography, and some new models of computation, such as quantum and biological computation.

This book presents the basic algorithms, the main theoretical results, and some applications of spectral methods.

Recently, there has appeared a new type of evaluating partial differential equations with Volterra integral operators in various practical areas.

The Kronecker product of matrices plays a central role in mathematics and in applications found in engineering and theoretical physics.

Although there are some books dealing with algebraic theory of automata, their contents consist mainly of Krohn-Rhodes theory and related topics.

This book takes readers through all the steps necessary for solving hard problems in continuum mechanics with smooth particle methods.

This book provides a comprehensive introduction to the numerical methods for the exterior problems in partial differential equations frequently encountered in science and engineering computing.

This unique book provides a concise presentation of many of the fundamental strategies for calculating approximations to the oscillatory solutions of "e;truly nonlinear"e; (TNL) oscillator equations.

In the past 50 years, discrete mathematics has developed as a far-reaching and popular language for modeling fundamental problems in computer science, biology, sociology, operations research, economics, engineering, etc.

The book explores how build a mechanical inferences by making use of arithmetic operations on a string of numbers representing statements.

This volume contains selected papers of the proceedings of the first Hellenic Conference on Mathematics and Informatics (HERMIS '92).

In this monograph, we present the authors' recent work of the last seven years in Approximation Theory.

This book A Guide to Graph Algorithms offers high-quality content in the research area of graph algorithms and explores the latest developments in graph algorithmics.

This book discusses different types of distance functions defined in an n-D integral space for their usefulness in approximating the Euclidean metric.

This book is the first general and extensive review on the algorithmics and mathematical results of beyond planar graphs.

This book addresses single-valued neutrosophic graphs and their applications.

This book sheds new light on Transform methods, which dominate the study of linear time-invariant systems in all areas of science and engineering, such as circuit theory, signal/image processing, communications, controls, vibration analysis, remote sensing, biomedical systems, optics and acoustics.

This book includes 58 selected articles that highlight the major contributions of Professor Radha Charan Gupta-a doyen of history of mathematics-written on a variety of important topics pertaining to mathematics and astronomy in India.

Covering network designs, discrete convex analysis, facility location and clustering problems, matching games, and parameterized complexity, this book discusses theoretical aspects of combinatorial optimization and graph algorithms.

This book offers a comprehensive introduction to Subdivision Surface Modeling Technology focusing not only on fundamental theories but also on practical applications.

This book gathers contributions by respected experts on the theory of isometric immersions between Riemannian manifolds, and focuses on the geometry of CR structures on submanifolds in Hermitian manifolds.

Information Modeling and Relational Databases, Third Edition, provides an introduction to ORM (Object-Role Modeling) and much more.

Objectives Computer and communication practice relies on data compression and dictionary search methods.

Many years of practical experience in teaching discrete mathematics form the basis of this text book.

The role of Hilbert polynomials in commutative and homological algebra as well as in algebraic geometry and combinatorics is well known.

This book is dedicated to the theory of continuous selections of multi- valued mappings, a classical area of mathematics (as far as the formulation of its fundamental problems and methods of solutions are concerned) as well as !

This monograph covers one of the divisions of mathematical theory of control which examines moving objects functionating under conflict and uncertainty conditions.

Computers have stretched the limits of what is possible in mathematics.

This book contains the courses given at the Third School on Statistical Physics and Cooperative Systems held at Santiago, Chile, from 14th to 18th December 1992.

X Kochendorffer, L.

Metric fixed point theory encompasses the branch of fixed point theory which metric conditions on the underlying space and/or on the mappings play a fundamental role.

It is well known that contemporary mathematics includes many disci- plines.

Fuzzy Sets, Logics and Reasoning about Knowledge reports recent results concerning the genuinely logical aspects of fuzzy sets in relation to algebraic considerations, knowledge representation and commonsense reasoning.

by Elisabeth Mann Borgese Founder and Honorary President International Ocean Institute Adalberto Vallega has been, for decades, a master and great teacher of integrated coastal management and Mediterranean cooperation.

This book supplements the textbook of the authors"e; Lectures on Graph The- ory"e; [6] by more than thousand exercises of varying complexity.