Discrete mathematics

An update of the most accessible introductory number theory text available, Fundamental Number Theory with Applications, Second Edition presents a mathematically rigorous yet easy-to-follow treatment of the fundamentals and applications of the subject.

This monograph focuses on the application of the solution strategy known as branch-and-bound to problems of combinatorial data analysis.

This book contains select papers on mathematical analysis and modeling, discrete mathematics, fuzzy sets, and soft computing.

More than 250 exercises and solutions on properties and applications of Catalan numbers, at levels ranging from recreational to research.

This practically-oriented textbook presents an accessible introduction to discrete mathematics through a substantial collection of classroom-tested exercises.

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This book is written in a style that uncovers the mathematical theories buried in our everyday lives such as examples from patterns that appear in nature, art, and traditional crafts, and in mathematical mechanisms in techniques used by architects.

Algebra & Geometry: An Introduction to University Mathematics, Second Edition provides a bridge between high school and undergraduate mathematics courses on algebra and geometry.

Combinatorics and Matrix Theory have a symbiotic, or mutually beneficial, relationship.

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This textbook introduces enumerative combinatorics through the framework of formal languages and bijections.

A captivating introduction to key results of discrete mathematics through the work of Paul Erdős, blended with first-hand reminiscences.

Finite Fields are fundamental structures of Discrete Mathematics.

This book constitutes the refereed proceedings of the First CCF International Conference on Artificial Intelligence, CCF-ICAI 2018, held in Jinan, China in August, 2018.

This unique and contemporary text not only offers an introduction to proofs with a view towards algebra and analysis, a standard fare for a transition course, but also presents practical skills for upper-level mathematics coursework and exposes undergraduate students to the context and culture of contemporary mathematics.

Combinatorial and Geometric Structures and Their Applications

Decision Making Models: A Perspective of Fuzzy Logic and Machine Learning presents the latest developments in the field of uncertain mathematics and decision science.

Homomorphic signature schemes are an important primitive for many applications and since their introduction numerous solutions have been presented.

A broad survey written by acknowledged international experts in the field.

This combinatorics text provides in-depth coverage of recurrences, generating functions, partitions, and permutations, along with some of the most interesting graph and network topics, design constructions, and finite geometries.

This engaging text presents the fundamental mathematics and modelling techniques for computing systems in a novel and light-hearted way, which can be easily followed by students at the very beginning of their university education.

From the Rosetta Stone to public-key cryptography, the art and science of cryptology has been used to unlock the vivid history of ancient cultures, to turn the tide of warfare, and to thwart potential hackers from attacking computer systems.

Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the metric geometry of Banach spaces and the theory of martingales, and general random vectors with values in those Banach spaces.

The Tutte Polynomial touches on nearly every area of combinatorics as well as many other fields, including statistical mechanics, coding theory, and DNA sequencing.

This Festschrift is published in honor of Rodney G.

This textbook focuses on the geometry of circles, spheres, and spherical geometry.

Student Handbook for Discrete Mathematics with Ducks is a Student Reference, Review, Supplemental Learning, and Example Handbook (SRRSLEH) that mirrors the content of the author's popular textbook Discrete Mathematics with Ducks (DMwD).

Continuing in the bestselling, informative tradition of the first edition, the Handbook of Combinatorial Designs, Second Edition remains the only resource to contain all of the most important results and tables in the field of combinatorial design.

This book is an extended and revised version of "e;Numerical Semigroups with Applications,"e; published by Springer as part of the RSME series.

A concise introduction, aimed at young researchers, to recent developments of a geometric and topological nature in random graphs.

A Beginner's Guide to Mathematical Proof prepares mathematics majors for the transition to abstract mathematics, as well as introducing a wider readership of quantitative science students, such as engineers, to the mathematical structures underlying more applied topics.

This book constitutes the proceedings of the 21st International Conference on Developments in Language Theory, DLT 2017, held in Liege, Belgium, in August 2017.

A graduate-level introduction to finite geometry and its applications to other areas of combinatorics.

Exploring one of the most dynamic areas of mathematics, Advanced Number Theory with Applications covers a wide range of algebraic, analytic, combinatorial, cryptographic, and geometric aspects of number theory.

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

Detailed algorithms for string processes and pattern matching have examples from natural language processing, molecular sequencing, and databases.

This book constitutes refereed proceedings of the 20th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2021, held in Irkutsk, Russia, in July 2021.

This book constitutes the thoroughly refereed proceedings of the 14th International Conference on Web and Internet Economics, WINE 2018, held in Oxford, UK, in December 2018.

This book constitutes the thoroughly refereed workshop post-proceedings of the 17th International Workshop on Approximation and Online Algorithms, WAOA 2019, held in Munich, Germany, in September 2019 as part of ALGO 2019.

The volume consists of a set of surveys on geometry in the broad sense.

This book discusses two questions in Complexity Theory: the Monotonicity Testing problem and the 2-to-2 Games Conjecture.

The most recent methods in various branches of lattice path and enumerative combinatorics along with relevant applications are nicely grouped together and represented in this research contributed volume.

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.

The author, who died in 1984, is well-known both as a person and through his research in mathematical logic and theoretical computer science.

This book is made of the proceedings of EUROCODE 1992 which was held in Udine (Italy) at the CISM, October 27 - 30, 1992.

Covering a wide range of Random Graphs subjects, this volume examines series-parallel networks, properties of random subgraphs of the n-cube, random binary and recursive trees, random digraphs, induced subgraphs and spanning trees in random graphs as well as matchings, hamiltonian cycles and closure in such structures.

One of the most effective ways to stimulate students to enjoy intellectual efforts is the scientific competition.