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Who first presented Pascal's triangle? (It was not Pascal.) Who first presented Hamiltonian graphs? (It was not Hamilton.) Who first presented Steiner triple systems? (It was not Steiner.) The history of mathematics is a well-studied and vibrant area of research, with books and scholarly articles published on various aspects of the subject. Yet, the history of combinatorics seems to have been ... Leia mais

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Who first presented Pascal's triangle? (It was not Pascal.) Who first presented Hamiltonian graphs? (It was not Hamilton.) Who first presented Steiner triple systems? (It was not Steiner.) The history of mathematics is a well-studied and vibrant area of research, with books and scholarly articles published on various aspects of the subject. Yet, the history of combinatorics seems to have been
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Beginner's Further Guide To Mathematical Logic, A

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'A wealth of examples to which solutions are given permeate the text so the reader will certainly be active.'The Mathematical GazetteThis is the final book written by the late great puzzle master and logician, Dr. Raymond Smullyan.This book is a sequel to my Beginner's Guide to Mathematical Logic.The previous volume deals with elements of propositional and first-order logic, contains a bit on ... Leia mais

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Context-free Languages And Primitive Words

de Masami Ito, Pal Domosi ...

A word is said to be primitive if it cannot be represented as any power of another word. It is a well-known conjecture that the set of all primitive words Q over a non-trivial alphabet is not context-free: this conjecture is still open. In this book, the authors deal with properties of primitive words over a non-primitive alphabet, the language consisting of all primitive words and related ... Leia mais

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A word is said to be primitive if it cannot be represented as any power of another word. It is a well-known conjecture that the set of all primitive words Q over a non-trivial alphabet is not context-free: this conjecture is still open. In this book, the authors deal with properties of primitive words over a non-primitive alphabet, the language consisting of all primitive words and related
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Second Step To Mathematical Olympiad Problems, A

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Séries Livros: 7 - Mathematical Olympiad Series
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Slicing The Truth: On The Computable And Reverse Mathematics Of Combinatorial Principles

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Séries Livros: 28 - Lecture Notes Series, Institute For Mathematical Sciences, National University Of Singapore
This book is a brief and focused introduction to the reverse mathematics and computability theory of combinatorial principles, an area of research which has seen a particular surge of activity in the last few years. It provides an overview of some fundamental ideas and techniques, and enough context to make it possible for students with at least a basic knowledge of computability theory and proof ... Leia mais

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Il Calcolo Combinatorio

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Il CALCOLO COMBINATORIO ha come oggetto il calcolo dei modi con i quali possono essere associati gli elementi di uno o più insiemi. In questo testo affronteremo i casi più frequenti nelle applicazioni, offrendo al lettore dei modelli che cercano di rappresentare la realtà. Verranno forniti gli strumenti per essere in grado di utilizzare il modello giusto per l'applicazione richiesta. ... Leia mais

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Il CALCOLO COMBINATORIO ha come oggetto il calcolo dei modi con i quali possono essere associati gli elementi di uno o più insiemi. In questo testo affronteremo i casi più frequenti nelle applicazioni, offrendo al lettore dei modelli che cercano di rappresentare la realtà. Verranno forniti gli strumenti per essere in grado di utilizzare il modello giusto per l'applicazione richiesta.
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Breakdown in Traffic Networks

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This book offers a detailed investigation of breakdowns in traffic and transportation networks. It shows empirically that transitions from free flow to so-called synchronized flow, initiated by local disturbances at network bottlenecks, display a nucleation-type behavior: while small disturbances in free flow decay, larger ones grow further and lead to breakdowns at the bottlenecks. Further, it
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Board Games: Throughout The History And Multidimensional Spaces

de Jorma Kyppo ...

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In this richly illustrated book, Dr Jorma Kyppö explores the history of board games dating back to Ancient Egypt, Mesopotamia, India and China. He provides a description of the evolution and various interpretations of chess. Furthermore, the book offers the study of the old Celtic and Viking board games and the old Hawaiian board game Konane, as well as a new hypothesis about the interpretation of ... Leia mais

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In this richly illustrated book, Dr Jorma Kyppö explores the history of board games dating back to Ancient Egypt, Mesopotamia, India and China. He provides a description of the evolution and various interpretations of chess. Furthermore, the book offers the study of the old Celtic and Viking board games and the old Hawaiian board game Konane, as well as a new hypothesis about the interpretation of
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Counting

de Eng Guan Tay, Khee-meng Koh ...

This book is a useful, attractive introduction to basic counting techniques for upper secondary and junior college students, as well as teachers. Younger students and lay people who appreciate mathematics, not to mention avid puzzle solvers, will also find the book interesting. The various problems and applications here are good for building up proficiency in counting. They are also useful for ... Leia mais

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This book is a useful, attractive introduction to basic counting techniques for upper secondary and junior college students, as well as teachers. Younger students and lay people who appreciate mathematics, not to mention avid puzzle solvers, will also find the book interesting. The various problems and applications here are good for building up proficiency in counting. They are also useful for
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Catalan Numbers

de Elena Deza ...

Séries Livros: 4 - Selected Chapters of Number Theory: Special Numbers
Catalan numbers, named after the French-Belgian mathematician Eugène Charles Catalan (1814–1894), arise in a variety of combinatorial problems. They have many interesting properties, a rich history, and numerous arithmetic, number-theoretical, analytical, and combinatorial connections, as well as a variety of classical and modern applications. Considering the long list of open problems and ... Leia mais

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Catalan numbers, named after the French-Belgian mathematician Eugène Charles Catalan (1814–1894), arise in a variety of combinatorial problems. They have many interesting properties, a rich history, and numerous arithmetic, number-theoretical, analytical, and combinatorial connections, as well as a variety of classical and modern applications. Considering the long list of open problems and
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Elementary Number Theory takes an accessible approach to teaching students about the role of number theory in pure mathematics and its important applications to cryptography and other areas. The first chapter of the book explains how to do proofs and includes a brief discussion of lemmas, propositions, theorems, and corollaries. The core of the tex
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Topics in Graph Automorphisms and Reconstruction

de Josef Lauri, Raffaele Scapellato ...

Séries Livros: 432 - London Mathematical Society Lecture Note Series
This in-depth coverage of important areas of graph theory maintains a focus on symmetry properties of graphs. Standard topics on graph automorphisms are presented early on, while in later chapters more specialised topics are tackled, such as graphical regular representations and pseudosimilarity. The final four chapters are devoted to the reconstruction problem, and here special emphasis is given ... Leia mais

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This in-depth coverage of important areas of graph theory maintains a focus on symmetry properties of graphs. Standard topics on graph automorphisms are presented early on, while in later chapters more specialised topics are tackled, such as graphical regular representations and pseudosimilarity. The final four chapters are devoted to the reconstruction problem, and here special emphasis is given
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Combinatorics of Minuscule Representations

de R. M. Green ...

Séries Livros: 199 - Cambridge Tracts in Mathematics
Minuscule representations occur in a variety of contexts in mathematics and physics. They are typically much easier to understand than representations in general, which means they give rise to relatively easy constructions of algebraic objects such as Lie algebras and Weyl groups. This book describes a combinatorial approach to minuscule representations of Lie algebras using the theory of heaps, ... Leia mais

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Minuscule representations occur in a variety of contexts in mathematics and physics. They are typically much easier to understand than representations in general, which means they give rise to relatively easy constructions of algebraic objects such as Lie algebras and Weyl groups. This book describes a combinatorial approach to minuscule representations of Lie algebras using the theory of heaps,
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Mathematical Constants II

de Steven R. Finch ...

Séries Livros: 169 - Encyclopedia of Mathematics and its Applications
Famous mathematical constants include the ratio of circular circumference to diameter, π = 3.14 …, and the natural logarithm base, e = 2.718 …. Students and professionals can often name a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here the author renews the search he began in his book Mathematical ... Leia mais

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Famous mathematical constants include the ratio of circular circumference to diameter, π = 3.14 …, and the natural logarithm base, e = 2.718 …. Students and professionals can often name a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here the author renews the search he began in his book Mathematical
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Combinatorics: Ancient & Modern

Beginner's Further Guide To Mathematical Logic, A

Counting (2nd Edition)

New Directions of Modern Cryptography

Agent-Based Modeling and Network Dynamics

Combinatorial Reasoning

Context-free Languages And Primitive Words

Perfect Codes and Related Structures

Future IoT & AI Age

(1+ 1)-nonlinear Universe Of The Parabolic Map And Combinatorics, The

Geometry Of Semilinear Embeddings: Relations To Graphs And Codes

Second Step To Mathematical Olympiad Problems, A

Slicing The Truth: On The Computable And Reverse Mathematics Of Combinatorial Principles

Codes From Difference Sets

Il Calcolo Combinatorio

Calcolo combinatorio e probabilità

Breakdown in Traffic Networks

Board Games: Throughout The History And Multidimensional Spaces

Counting

Catalan Numbers

Elementary Number Theory

Topics in Graph Automorphisms and Reconstruction

Combinatorics of Minuscule Representations

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