Discrete mathematics

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

This book constitutes the refereed proceedings of the 22nd  International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2023, held in Ekaterinburg, Russia, during July 2-8, 2023.

This book is designed to meet the requirement of undergraduate and postgraduate students pursuing computer science, information technology, mathematical science, and physical science course.

This textbook provides mathematical tools and applies them to study key aspects of data transmission such as encryption and compression.

Sturm-Liouville problems arise naturally in solving technical problems in engineering, physics, and more recently in biology and the social sciences.

This book constitutes the revised selected papers from the 23rd International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2024, held in Omsk, Russia from June 30 to July 06, 2024.

Combinatory logic started as a programme in the foundation of mathematics and in an historical context at a time when such endeavours attracted the most gifted among the mathematicians.

The study of polynomial completeness of algebraic systems has only recently matured, and until now, lacked a unified treatment.

This book contains 28 research articles from among the 49 papers and abstracts presented at the Tenth International Conference on Fibonacci Numbers and Their Applications.

In the late 1960s British mathematician John Conway invented a virtual mathematical machine that operates on a two-dimensional array of square cell.

The book reviews inequalities for weighted entry sums of matrix powers.

The conference proceeding  LNCS 11346 constitutes the refereed proceedings of the 12th International Conference on Combinatorial Optimization and Applications, COCOA 2018, held in Atlanta, GA, USA, in December 2018.

The mathematical theory of computation has given rise to two important ap- proaches to the informal notion of "e;complexity"e;: Kolmogorov complexity, usu- ally a complexity measure for a single object such as a string, a sequence etc.

In knot theory, diagrams of a given canonical genus can be described by means of a finite number of patterns ("e;generators"e;).

Developed from the author's popular graduate-level course, Computational Number Theory presents a complete treatment of number-theoretic algorithms.

This book presents the state-of-the-art in the emerging field of data science and includes models for layered security with applications in the protection of sites-such as large gathering places-through high-stake decision-making tasks.

This book aims to provide an introduction to the broad and dynamic subject of discrete energy problems and point configurations.

Beyond calculus, the world of mathematics grows increasingly abstract and places new and challenging demands on those venturing into that realm.

The theory of Petri nets is a part of computer science whose importance is increasingly acknowledged.

Mathematical Logic and Theoretical Computer Science covers various topics ranging from recursion theory to Zariski topoi.

This volume presents four machine-independent theories of computational complexity, which have been chosen for their intrinsic importance and practical relevance.

Originally published in 1984.

This is the first book about the discrete ordered median problem (DOMP), which unifies many classical and new facility location problems.

This award-winning textbook targets the gap between introductory texts in discrete mathematics and advanced graduate texts in enumerative combinatorics.

Mathematical systems theory is a vibrant research area in its own right.

This collection honours Ron Doney's work and includes invited articles by his collaborators and friends.

The articles collected in this volume represent the contributions presented at the IMA workshop on "e;Dynamics of Algorithms"e; which took place in November 1997.

Decomposable sets since T.

Contemporary students of mathematics differ considerably from those of half a century ago.

Computability theory originated with the seminal work of Godel, Church, Turing, Kleene and Post in the 1930s.

This classic introduction to the main areas of mathematical logic provides the basis for a first graduate course in the subject.

Finite Geometries stands out from recent textbooks about the subject of finite geometries by having a broader scope.

Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are developed here and carefully implemented in the computer algebra system Maple(TM).

An introduction to enumerative combinatorics, vital to many areas of mathematics.

Discrete Mathematics: An Open Introduction, Fourth Edition aims to provide an introduction to select topics in discrete mathematics at a level appropriate for first or second year undergraduate math and computer science majors, especially those who intend to teach middle and high school mathematics.

The discrete Fourier transform (DFT) is an extremely useful tool that finds application in many different disciplines.

Over the past fifty years, the development of chaotic dynamical systems theory and its subsequent wide applicability in science and technology has been an extremely important achievement of modern mathematics.

The text covers random graphs from the basic to the advanced, including numerous exercises and recommendations for further reading.

Global optimization is one of the fastest developing fields in mathematical optimization.

Sequential Dynamical Systems (SDS) are a class of discrete dynamical systems which significantly generalize many aspects of systems such as cellular automata, and provide a framework for studying dynamical processes over graphs.

Elliptic curves have been intensively studied in algebraic geometry and number theory.

The first coherent exposition of the theory of binary quadratic forms was given by Gauss in the Disqnisitiones Arithmeticae.

This book constitutes the refereed proceedings of the 30th International Colloquium on Structural Information and Communication Complexity, SIROCCO 2023, held in Alcala de Henares, Spain, during June 6-9, 2023.

The first comprehensive account of modern geometric theory and its applications, written by a leader in the field.

Malliavin Calculus in Finance: Theory and Practice, Second Edition introduces the study of stochastic volatility (SV) models via Malliavin Calculus.

This book presents a study on the foundations of a large class of paraconsistent logics from the point of view of the logics of formal inconsistency.

As an introduction to discrete mathematics, this text provides a straightforward overview of the range of mathematical techniques available to students.

Building on the author's previous book in the series, Complex Analysis with Applications to Flows and Fields (CRC Press, 2010), Transcendental Representations with Applications to Solids and Fluids focuses on four infinite representations: series expansions, series of fractions for meromorphic functions, infinite products for functions with infinit