# Rosen K.H., Michaels J.G. et al. Handbook of Discrete and Combinatorial Mathematics

31.01.2012 в 00:44 8.11 МБ djvu 21 раз
Crc press, 2000. - 1183 pages.

The Handbook of Discrete and Combinatorial Mathematics is the first book presenting a comprehensive collection of reference material for the essential areas of discrete mathematics as well as for important applications to computer science and engineering. Topics include logic and foundations, counting, number theory, abstract and linear algebra, probability, graph theory, networks and optimization, cryptography and coding, and combinatorial designs.

Foundations.
propositional and Predicate Logic.
Set Theory.
Functions.
Relations.
Proof Techniques.
Axiomatic Program Verification.
Counting methods.
summary of Counting Problems.
Basic Counting Techniques.
Permutations and Combinations.
Inclusion/Exclusion.
Partitions.
Burnside Counting Formula.
Mobius Inversion Counting.
Young Tableaux.
Sequences.
special Sequences.
Generating Functions.
Recurrence Relations.
Finite Differences.
Finite Sums and Summation.
Asymptotics of Sequences.
Mechanical Summation Procedures.
Number theory.
basic Concepts.
Greatest Common Divisors.
Congruences.
Prime Numbers.
Factorization.
Arithmetic Functions.
Diophantine Equations.
Diophantine Approximation.
Algebraic structures.
algebraic Models.
Groups.
Permutation Groups.
Rings.
Polynomial Rings.
Fields.
Lattices.
Boolean Algebras.
Linear algebra.
vector Spaces.
Linear Transformations.
Matrix Algebra.
Linear Systems.
Eigenanalysis.
Combinatorial Matrix Theory.
Discrete probability.
fundamental Concepts.
Independence and Dependence.
Random Variables.
Discrete Probability Computations.
Random Walks.
System Reliability.
Discrete-'Rme Markov Chains.
Queueing Theory.
Simulation.
Graph theory.
introduction to Graphs.
Graph Models.
Directed Graphs.
Distance, Connectivity, Traversability.
Graph Invariants and Isomorphism Types.
Graph and Map Coloring.
Planar Drawings.
Topological Graph Theory.
Enumerating Graphs.
Algebraic Graph Theory.
Analytic Graph Theory.
Hypergraphs.
Trees.
characterizations and Types of Trees.
Spanning Trees.
Enumerating Trees.
Networks and flows.
minimum Spanning Trees.
Matchings.
Shortest Paths.
Maximum Flows.
Minimum Cost Flows.
Communication Networks.
Difficult Routing and Assignment Problems.
Network Representations and Data Structures.
Partially ordered sets.
basic Poset Concepts.
Poset Properties.
Combinatorial designs.
block Designs.
Symmetric Designs & Finite Geometries.
Latin Squares and Orthogonal Arrays.
Matroids.
Discrete and computational geometry.
arrangements of Geometric Objects.
Space Filling.
Combinatorial Geometry.
Polyhedra.
Algorithms and Complexity in Computational Geometry.
Geometric Data Structures and Searching.
Computational Techniques.
Applications of Geometry.
Coding theory and cryptology.
communication Systems and Information Theory.
Basics of Coding Theory.
Linear Codes.
Bounds for Codes.
Nonlinear Codes.
Convolutional Codes.
Basics of Cryptography.
Symmetric-Key Systems.
Public-Key Systems.
Discrete optimization.
linear Programming.
Location Theory.
Packing and Covering.
Activity Nets.
Game Theory.
Sperner's Lemma and Fixed Points.
Theoretical computer science.
computational Models.
Computability.
Languages and Grammars.
Algorithmic Complexity.
Complexity Classes.
Randomized Algorithms.
Information structures.
abstract Datatypes.
Concrete Data Structures.
Sorting and Searching.
Hashing.
Dynamic Graph Algorithms.
Biographies.

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## Rosen K.H. (editor-in-chief) Handbook of Discrete and Combinatorial Mathematics

разное
CRC Press, 2000. - 1183 pages.

The Handbook of Discrete and Combinatorial Mathematics is the first book presenting a comprehensive collection of reference material for the essential areas of discrete mathematics as well as for important applications to computer science and engineering. Topics include logic and foundatio...
12.02.2011 в 18:41 9.32 МБ 10 раз

## Rosen K.H. Handbook on Discrete Combinational Mathematics

разное
CRC Press. Boca Raton London New York Washington, D.C. , 1999. - 1232 p.

The importance of discrete mathematics has increased dramatically within the last few years but until now, it has been difficult-if not impossible-to find a single reference book that effectively covers the subject. To fill that void, The Handbook ...
07.02.2011 в 01:14 7.99 МБ 10 раз

## Rosen K.H. Discrete Mathematics and Its Applications

разное
China Machine Press, 1999. - 700 pages.

A discrete mathematics course has more than one purpose. Students should learn a particular set of mathematical facts and how to apply them; more importantly, such a course should teach students how to think mathematically. To achieve these goals, this text stresses mathematical r...
23.03.2011 в 21:42 34.36 МБ 9 раз

## Rosen K. Discrete Mathematics and Its Applications

разное
McGraw-Hill, 2006. - 1008 Pages.

Discrete Mathematics and its Applications, Sixth Edition, is intended for one- or two-term introductory discrete mathematics courses taken by students from a wide variety of majors, including computer science, mathematics, and engineering. This renowned best-selling text, which has been ...
20.01.2011 в 23:53 19.99 МБ 32 раза

## Sachkov V.N. Combinatorial Methods in Discrete Mathematics

разное
Издательство Cambridge University Press, 1996, -317 pp.

This book is addressed to those who are interested in combinatorial methods of discrete mathematics and their applications. A major part of the book can be used as a textbook on combinatorial analysis for students specializing in mathematics. The remaining part is ...
04.10.2011 в 22:35 2.21 МБ 6 раз

## Grimaldi R.P. Discrete and Combinatorial Mathematics: An Applied Introduction

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Provides an introductory survey in both discrete & combinatorial mathematics. Intended for the beginning student designed to introduce a wide variety of applications & develop mathematical maturity of the student by studying an area that is so different form the traditional co...
27.01.2011 в 00:22 15.28 МБ 18 раз

## Gyori E., Katona G.O., Lovasz L. (editors) More Sets, Graphs and Numbers: A Salute to Vera Sos and Andras Hajnal

разное
Springer, 2006. - 405 pages. Bolyai Society Mathematical Studies 15.

Discrete mathematics, including (combinatorial) number theory and set theory has always been a stronghold of Hungarian mathematics. The present volume honouring Vera Sos and Andras Hajnal contains survey articles (with classical theorems and state-of-t...
05.02.2011 в 14:20 12.65 МБ 6 раз

## Haggard G., Schlipf J., Whitesides S. Discrete Mathematics for Computer Science

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Brooks Cole, 2005. - 718 Pages.

Master the fundamentals of discrete mathematics with DISCRETE MATHEMATICS FOR COMPUTER SCIENCE! An increasing number of computer scientists from diverse areas are using discrete mathematical structures to explain concepts and problems and this mathematics text shows you how to express pre...
01.01.2011 в 03:55 25.96 МБ 34 раза

## Matousek J., Nesetril J. Invitation to Discrete Mathematics

разное
Oxford University Press, 1998. - 426 pages.

Invitation to Discrete Mathematics is at once an introduction and a thoroughly comprehensive textbook for courses in combinatorics and graph theory. It also contains introductory chapters for more specialized courses such as probabilistic methods, applied linear algebra, combi...
05.02.2011 в 21:25 19.68 МБ 13 раз

## Epp S.S. Discrete Mathematics with Applications

разное
Brooks Cole, 2003. - 928 pages.

Susanna Epp's Discrete Mathematics, Third edition provides a clear introduction to discrete mathematics. Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision. This book presents not only the major themes of discrete mathematics, but ...
22.02.2011 в 01:04 47.76 МБ 17 раз