Discrete Mathematics and Its Applications
The Art of Proving Binomial Identities
1st Edition
By Michael Z. Spivey
January 21, 2023
The Art of Proving Binomial Identities accomplishes two goals: (1) It provides a unified treatment of the binomial coefficients, and (2) Brings together much of the undergraduate mathematics curriculum via one theme (the binomial coefficients). The binomial coefficients arise in a variety of areas ...
Volumetric Discrete Geometry
1st Edition
By Karoly Bezdek, Zsolt Langi
January 21, 2023
Volume of geometric objects plays an important role in applied and theoretical mathematics. This is particularly true in the relatively new branch of discrete geometry, where volume is often used to find new topics for research. Volumetric Discrete Geometry demonstrates the recent aspects of volume...
Graph Theory: An Introduction to Proofs, Algorithms, and Applications
1st Edition
By Karin R Saoub
March 17, 2021
Graph Theory: An Introduction to Proofs, Algorithms, and Applications Graph theory is the study of interactions, conflicts, and connections. The relationship between collections of discrete objects can inform us about the overall network in which they reside, and graph theory can provide an avenue...
Graph Polynomials
1st Edition
Edited
By Yongtang Shi, Matthias Dehmer, Xueliang Li, Ivan Gutman
September 30, 2020
This book covers both theoretical and practical results for graph polynomials. Graph polynomials have been developed for measuring combinatorial graph invariants and for characterizing graphs. Various problems in pure and applied graph theory or discrete mathematics can be treated and solved ...
Handbook of Computational Group Theory
1st Edition
By Derek F. Holt, Bettina Eick, Eamonn A. O'Brien
September 30, 2020
The origins of computation group theory (CGT) date back to the late 19th and early 20th centuries. Since then, the field has flourished, particularly during the past 30 to 40 years, and today it remains a lively and active branch of mathematics.The Handbook of Computational Group Theory offers the ...
Combinatorial Algorithms: Generation, Enumeration, and Search
1st Edition
By Donald L. Kreher, Douglas R. Stinson
November 01, 2019
This textbook thoroughly outlines combinatorial algorithms for generation, enumeration, and search. Topics include backtracking and heuristic search methods applied to various combinatorial structures, such as:CombinationsPermutationsGraphsDesignsMany classical areas are covered as well as new ...
Applied Mathematical Modeling: A Multidisciplinary Approach
1st Edition
Edited
By Douglas R. Shier, K.T. Wallenius
October 17, 2019
The practice of modeling is best learned by those armed with fundamental methodologies and exposed to a wide variety of modeling experience. Ideally, this experience could be obtained by working on actual modeling problems. But time constraints often make this difficult. Applied Mathematical ...
A Java Library of Graph Algorithms and Optimization
1st Edition
By Hang T. Lau
September 11, 2019
Because of its portability and platform-independence, Java is the ideal computer programming language to use when working on graph algorithms and other mathematical programming problems. Collecting some of the most popular graph algorithms and optimization procedures, A Java Library of Graph ...
Quadratics
1st Edition
By Richard A. Mollin
September 11, 2019
The first thing you will find out about this book is that it is fun to read. It is meant for the browser, as well as for the student and for the specialist wanting to know about the area. The footnotes give an historical background to the text, in addition to providing deeper applications of the ...
Authentication Codes and Combinatorial Designs
1st Edition
By Dingyi Pei
September 05, 2019
Researchers and practitioners of cryptography and information security are constantly challenged to respond to new attacks and threats to information systems. Authentication Codes and Combinatorial Designs presents new findings and original work on perfect authentication codes characterized in ...
Enumerative Combinatorics
1st Edition
By Charalambos A. Charalambides
September 05, 2019
Enumerative Combinatorics presents elaborate and systematic coverage of the theory of enumeration. The first seven chapters provide the necessary background, including basic counting principles and techniques, elementary enumerative topics, and an extended presentation of generating functions and ...
Algebraic Curves in Cryptography
1st Edition
By San Ling, Huaxiong Wang, Chaoping Xing
June 12, 2019
The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas have not been systematically covered in the literature. Addressing this gap, Algebraic Curves in Cryptography explores the rich uses of algebraic curves in a ...