The interplay between graph theory and a wide variety of models and applications in mathematics, computer science, operations research, and the natural and social sciences continues to grow.
The interplay between graph theory and a wide variety of models and applications in mathematics, computer science, operations research, and the natura...
Analytic Combinatorics: A Multidimensional Approach is written in a reader-friendly fashion to better facilitate the understanding of the subject. Naturally, it is a firm introduction to the concept of analytic combinatorics and is a valuable tool to help readers better understand the structure and large-scale behavior of discrete objects. Primarily, the textbook is a gateway to the interactions between complex analysis and combinatorics. The study will lead readers through connections to number theory, algebraic geometry, probability and formal language theory. The textbook starts by...
Analytic Combinatorics: A Multidimensional Approach is written in a reader-friendly fashion to better facilitate the understanding of the subject. ...
Combinatorialists are seldom aware of number theoretical tools, and number theorists rarely aware of possible combinatorial applications. This book is accessible for both of the groups. The first part introduces important counting sequences. The second part shows how these sequences can be generalized to study new combinatorial problems
Combinatorialists are seldom aware of number theoretical tools, and number theorists rarely aware of possible combinatorial applications. This book is...
The book has two goals: (1) Provide a unified treatment of the binomial coefficients, and (2) Bring together much of the undergraduate mathematics curriculum via one theme (the binomial coefficients).
The book has two goals: (1) Provide a unified treatment of the binomial coefficients, and (2) Bring together much of the undergraduate mathematics cur...
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, introduces problems related to it, and presents methods to apply it to other geometric problems.Part I of the text consists of survey chapters of selected topics on volume and is suitable for advanced undergraduate students. Part II has chapters of selected proofs of theorems stated in Part I and...
Volume of geometric objects plays an important role in applied and theoretical mathematics. This is particularly true in the relatively new branch of ...
Extremal Finite Set Theory surveys old and new results in this subject. It presents an overview of the main techniques and tools (shifting, cycle method, profile polytopes, incidence matrices, combinatorial nullstellensatz, etc.) used in the different subtopics.
Extremal Finite Set Theory surveys old and new results in this subject. It presents an overview of the main techniques and tools (shifting, cycle meth...
Introduction to Chemical Graph Theory is a concise introduction to the main topics and techniques in chemical graph theory, specifically the theory of topological indices. The book covers some of the most commonly used mathematical approaches in the subject.
Introduction to Chemical Graph Theory is a concise introduction to the main topics and techniques in chemical graph theory, specifically the theory of...
