Combinatorics and graph theory Books
Birkhauser Verlag AG The Seventh European Conference on Combinatorics,
Book SynopsisIn the tradition of EuroComb'01 (Barcelona), Eurocomb'03 (Prague), EuroComb'05 (Berlin), Eurocomb'07 (Seville), Eurocomb'09 (Bordeaux), and Eurocomb'11 (Budapest), this volume covers recent advances in combinatorics and graph theory including applications in other areas of mathematics, computer science and engineering. Topics include, but are not limited to: Algebraic combinatorics, combinatorial geometry, combinatorial number theory, combinatorial optimization, designs and configurations, enumerative combinatorics, extremal combinatorics, ordered sets, random methods, topological combinatorics.Table of Contents90 to 100 extended abstracts accepted by the Program Committee of Eurocomb 2013, formed by 24 experts in the field, for presentation at the forthcoming Conference Eurocomb 2013, Pisa, September 3-9, 2013.
£23.39
World Scientific Publishing Co Pte Ltd Principles and Techniques in Combinatorics
Book Synopsis"This book should be a must for all mathematicians who are involved in the training of Mathematical Olympiad teams, but it will also be a valuable source of problems for university courses." Mathematical Reviews A textbook suitable for undergraduate courses. The materials are presented very explicitly so that students will find it very easy to read. A wide range of examples, about 500 combinatorial problems taken from various mathematical competitions and exercises are also included.Table of ContentsPermutations and combinations; binomial coefficients and multinomial coefficients; the Pigeonhole principle and Ramsey numbers; the principle of inclusion and exclusion; generating functions; recurrence relations.
£53.20
World Scientific Publishing Co Pte Ltd Combinatorial Physics
Book SynopsisThe authors aim to reinstate a spirit of philosophical enquiry in physics. They abandon the intuitive continuum concepts and build up constructively a combinatorial mathematics of process. This radical change alone makes it possible to calculate the coupling constants of the fundamental fields which — via high energy scattering — are the bridge from the combinatorial world into dynamics. The untenable distinction between what is ‘observed’, or measured, and what is not, upon which current quantum theory is based, is not needed. If we are to speak of mind, this has to be present — albeit in primitive form — at the most basic level, and not to be dragged in at one arbitrary point to avoid the difficulties about quantum observation. There is a growing literature on information-theoretic models for physics, but hitherto the two disciplines have gone in parallel. In this book they interact vitally.Table of ContentsIntroduction and summary chapters; space; complementarity and all that; the simple case for a discrete physics; a hierarchical model - some introductory arguments; a hierarchical model - rigorous treatment; scattering and coupling constants; quantum numbers and the particle; the approximation to the continuum; objectivity and subjectivity - some "ISMS".
£48.45
World Scientific Publishing Co Pte Ltd Grammatical Complexity And One-dimensional
Book SynopsisA combinatorial method is developed in this book to explore the mysteries of chaos, which has became a topic of science since 1975. Using tools from theoretical computer science, formal languages and automata, the complexity of symbolic behaviors of dynamical systems is classified and analysed thoroughly. This book is mainly devoted to explanation of this method and apply it to one-dimensional dynamical systems, including the circle and interval maps, which are typical in exhibiting complex behavior through simple iterated calculations. The knowledge for reading it is self-contained in the book.
£85.50
World Scientific Publishing Co Pte Ltd Semigroups Of Matrices
Book SynopsisThis book is concerned with the structure of linear semigroups, that is, subsemigroups of the multiplicative semigroup Mn(K) of n × n matrices over a field K (or, more generally, skew linear semigroups — if K is allowed to be a division ring) and its applications to certain problems on associative algebras, semigroups and linear representations. It is motivated by several recent developments in the area of linear semigroups and their applications. It summarizes the state of knowledge in this area, presenting the results for the first time in a unified form. The book's point of departure is a structure theorem, which allows the use of powerful techniques of linear groups. Certain aspects of a combinatorial nature, connections with the theory of linear representations and applications to various problems on associative algebras are also discussed.Table of ContentsGeneral techniques; full linear monoid; structure of linear semigroups; irreducible semigroups; identities; generalized tits alternative; growth; monoids of lie type; applications.
£74.10
World Scientific Publishing Co Pte Ltd Jewels Of Stringology: Text Algorithms
Book SynopsisThe term “stringology” is a popular nickname for text algorithms, or algorithms on strings. This book deals with the most basic algorithms in the area. Most of them can be viewed as “algorithmic jewels” and deserve reader-friendly presentation. One of the main aims of the book is to present several of the most celebrated algorithms in a simple way by omitting obscuring details and separating algorithmic structure from combinatorial theoretical background. The book reflects the relationships between applications of text-algorithmic techniques and the classification of algorithms according to the measures of complexity considered. The text can be viewed as a parade of algorithms in which the main purpose is to discuss the foundations of the algorithms and their interconnections. One can partition the algorithmic problems discussed into practical and theoretical problems. Certainly, string matching and data compression are in the former class, while most problems related to symmetries and repetitions in texts are in the latter. However, all the problems are interesting from an algorithmic point of view and enable the reader to appreciate the importance of combinatorics on words as a tool in the design of efficient text algorithms.In most textbooks on algorithms and data structures, the presentation of efficient algorithms on words is quite short as compared to issues in graph theory, sorting, searching, and some other areas. At the same time, there are many presentations of interesting algorithms on words accessible only in journals and in a form directed mainly at specialists. This book fills the gap in the book literature on algorithms on words, and brings together the many results presently dispersed in the masses of journal articles. The presentation is reader-friendly; many examples and about two hundred figures illustrate nicely the behaviour of otherwise very complex algorithms.Table of ContentsContents: Stringology; Basic String Searching Algorithms; Preprocessing for Basic Seachings; On-Line Construction of Suffix Trees; More on Suffix Trees; Subword Graphs; Text Algorithms Related to Sorting; Symmetries and Repetitions in Texts; Constant-Space Searchings; Text Compression Techniques; Automata-Theoretic Approach; Approximate Pattern Matching; Matching by Dueling and Sampling; Two-Dimensional Pattern Matching; Two-Dimensional Periodicities; Parallel Text Algorithms; Miscellaneous.
£97.20
World Scientific Publishing Co Pte Ltd Jewels Of Stringology: Text Algorithms
Book SynopsisThe term “stringology” is a popular nickname for text algorithms, or algorithms on strings. This book deals with the most basic algorithms in the area. Most of them can be viewed as “algorithmic jewels” and deserve reader-friendly presentation. One of the main aims of the book is to present several of the most celebrated algorithms in a simple way by omitting obscuring details and separating algorithmic structure from combinatorial theoretical background. The book reflects the relationships between applications of text-algorithmic techniques and the classification of algorithms according to the measures of complexity considered. The text can be viewed as a parade of algorithms in which the main purpose is to discuss the foundations of the algorithms and their interconnections. One can partition the algorithmic problems discussed into practical and theoretical problems. Certainly, string matching and data compression are in the former class, while most problems related to symmetries and repetitions in texts are in the latter. However, all the problems are interesting from an algorithmic point of view and enable the reader to appreciate the importance of combinatorics on words as a tool in the design of efficient text algorithms.In most textbooks on algorithms and data structures, the presentation of efficient algorithms on words is quite short as compared to issues in graph theory, sorting, searching, and some other areas. At the same time, there are many presentations of interesting algorithms on words accessible only in journals and in a form directed mainly at specialists. This book fills the gap in the book literature on algorithms on words, and brings together the many results presently dispersed in the masses of journal articles. The presentation is reader-friendly; many examples and about two hundred figures illustrate nicely the behaviour of otherwise very complex algorithms.Table of ContentsStringology - Basic String Searching Algorithms - Preprocessing for Basic Seachings - On-Line Construction of Suffix Trees - More on Suffix Trees - Subword Graphs - Text Algorithms Related to Sorting - Symmetries and Repetitions in Texts - Constant-Space Searchings - Text Compression Techniques - Automata-Theoretic Approach - Approximate Pattern Matching - Matching by Dueling and Sampling - Two-Dimensional Pattern Matching - Two-Dimensional Periodicities - Parallel Text Algorithms - Miscellaneous
£51.30
World Scientific Publishing Co Pte Ltd Algebraic And Geometric Combinatorics On Lattice
Book SynopsisThis volume consists of research papers and expository survey articles presented by the invited speakers of the Summer Workshop on Lattice Polytopes. Topics include enumerative, algebraic and geometric combinatorics on lattice polytopes, topological combinatorics, commutative algebra and toric varieties.Readers will find that this volume showcases current trends on lattice polytopes and stimulates further developments of many research areas surrounding this field. With the survey articles, research papers and open problems, this volume provides its fundamental materials for graduate students to learn and researchers to find exciting activities and avenues for further exploration on lattice polytopes.
£162.00
World Scientific Publishing Co Pte Ltd Code Based Secret Sharing Schemes: Applied
Book SynopsisSecret sharing schemes form one of the most important topic in Cryptography. These protocols are used in many areas, applied mathematics, computer science, electrical engineering. A secret is divided into several pieces called shares. Each share is given to a user of the system. Each user has no information about the secret, but the secret can be retrieved by certain authorized coalition of users.This book is devoted to such schemes inspired by Coding Theory. The classical schemes of Shamir, Blakley, Massey are recalled. Survey is made of research in Combinatorial Coding Theory they triggered, mostly self-dual codes, and minimal codes. Applications to engineering like image processing, and key management of MANETs are highlighted.
£76.00
World Scientific Publishing Co Pte Ltd Combinatorics, Modeling, Elementary Number
Book SynopsisThis book is mostly based on the author's 25 years of teaching combinatorics to two distinct sets of students: first-year students and seniors from all backgrounds. The prerequisites are kept to a minimum; essentially, only high school algebra is required. The design is to go quickly from zero knowledge to advanced themes and various applications with a lot of topics intended for additional reading and research projects. It contains an all-inclusive collection of 135 problems and 275 exercises with four difficulty levels: solutions, hints and answers are provided.Some themes of the book:Enumerative combinatorics and basic graph theory: Introduction to dimers, tilings, magic and Latin squares, permutations, combinations, generating functions, games of chance, random walks, binomial and Poisson distributions. Catalan numbers, their generalizations and applications, including roulette and pricing derivatives. Euler and Hamiltonian paths, linear and planar graphs, labeled trees and other topics on graphs; many of them are presented as exercises.Modeling: Linear recurrence relations, Fibonacci rabbits, population growth, tree growth, epidemic spread and reinfections, resonances and nuclear reactors, predator-prey relationships and stopping times.Elementary number theory: Residues, finite fields, Pisano periods, quadratic reciprocity, Pell's equation, continued fractions, and Frobenius coin problem. Applications to cryptography, designs and magic squares, error-correcting codes and nonattacking queens.
£104.50
World Scientific Publishing Co Pte Ltd Applied Graph Theory: An Introduction With Graph
Book SynopsisThis book serves as an introduction to graph theory and its applications. It is intended for a senior undergraduate course in graph theory but is also appropriate for beginning graduate students in science or engineering. The book presents a rigorous (proof-based) introduction to graph theory while also discussing applications of the results for solving real-world problems of interest. The book is divided into four parts. Part 1 covers the combinatorial aspects of graph theory including a discussion of common vocabulary, a discussion of vertex and edge cuts, Eulerian tours, Hamiltonian paths and a characterization of trees. This leads to Part 2, which discusses common combinatorial optimization problems. Spanning trees, shortest path problems and matroids are all discussed, as are maximum flow problems. Part 2 ends with a discussion of graph coloring and a proof of the NP-completeness of the coloring problem. Part 3 introduces the reader to algebraic graph theory, and focuses on Markov chains, centrality computation (e.g., eigenvector centrality and page rank), as well as spectral graph clustering and the graph Laplacian. Part 4 contains additional material on linear programming, which is used to provide an alternative analysis of the maximum flow problem. Two appendices containing prerequisite material on linear algebra and probability theory are also provided.
£85.50
World Scientific Publishing Co Pte Ltd Non-integrable Dynamics: Time-quantitative
Book SynopsisThe subject of this monograph is to describe orbits of slowly chaotic motion. The study of geodesic flow on the unit torus is motivated by the irrational rotation sequence, where the most outstanding result is the Kronecker-Weyl equidistribution theorem and its time-quantitative enhancements, including superuniformity. Another important result is the Khinchin density theorem on superdensity, a best possible form of time-quantitative density. The purpose of this monograph is to extend these classical time-quantitative results to some non-integrable flat dynamical systems.The theory of dynamical systems is on the most part about the qualitative behavior of typical orbits and not about individual orbits. Thus, our study deviates from, and indeed is in complete contrast to, what is considered the mainstream research in dynamical systems. We establish non-trivial results concerning explicit individual orbits and describe their long-term behavior in a precise time-quantitative way. Our non-ergodic approach gives rise to a few new methods. These are based on a combination of ideas in combinatorics, number theory, geometry and linear algebra.Approximately half of this monograph is devoted to a time-quantitative study of two concrete simple non-integrable flat dynamical systems. The first concerns billiard in the L-shape region which is equivalent to geodesic flow on the L-surface. The second concerns geodesic flow on the surface of the unit cube. In each, we give a complete description of time-quantitative equidistribution for every geodesic with a quadratic irrational slope.
£130.50
World Scientific Publishing Co Pte Ltd Walk Through Combinatorics, A: An Introduction To
Book SynopsisThe first half of the book walks the reader through methods of counting, both direct elementary methods and the more advanced method of generating functions. Then, in the second half of the book, the reader learns how to apply these methods to fascinating objects, such as graphs, designs, random variables, partially ordered sets, and algorithms. In short, the first half emphasizes depth by discussing counting methods at length; the second half aims for breadth, by showing how numerous the applications of our methods are.New to this fifth edition of A Walk Through Combinatorics is the addition of Instant Check exercises — more than a hundred in total — which are located at the end of most subsections. As was the case for all previous editions, the exercises sometimes contain new material that was not discussed in the text, allowing instructors to spend more time on a given topic if they wish to do so. With a thorough introduction into enumeration and graph theory, as well as a chapter on permutation patterns (not often covered in other textbooks), this book is well suited for any undergraduate introductory combinatorics class.
£108.00
World Scientific Publishing Co Pte Ltd Stirling Numbers
Book SynopsisStirling numbers are one of the most known classes of special numbers in Mathematics, especially in Combinatorics and Algebra. They were introduced by Scottish mathematician James Stirling (1692-1770) in his most important work, Differential Method with a Tract on Summation and Interpolation of Infinite Series (1730). Stirling numbers have a rich history; many arithmetic, number-theoretical, analytical and combinatorial connections; numerous classical properties; as well as many modern applications.This book collects much of the scattered material on the two subclasses of Stirling numbers to provide a holistic overview of the topic. From the combinatorial point of view, Stirling numbers of the second kind, S(n, k), count the number of ways to partition a set of n different objects (i.e., a given n-set) into k non-empty subsets. Stirling numbers of the first kind, s(n, k), give the number of permutations of n elements with k disjoint cycles. Both subclasses of Stirling numbers play an important role in Algebra: they form the coefficients, connecting well-known sets of polynomials.This book is suitable for students and professionals, providing a broad perspective of the theory of this class of special numbers, and many generalisations and relatives of Stirling numbers, including Bell numbers and Lah numbers. Throughout the book, readers are provided exercises to test and cement their understanding.
£130.50
World Scientific Publishing Co Pte Ltd Introduction To Graph Theory: With Solutions To
Book SynopsisGraph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. This book is intended as a general introduction to graph theory.The book builds on the verity that graph theory even at high school level is a subject that lends itself well to the development of mathematical reasoning and proof.This is an updated edition of two books already published with World Scientific, i.e., Introduction to Graph Theory: H3 Mathematics & Introduction to Graph Theory: Solutions Manual. The new edition includes solutions and hints to selected problems. This combination allows the book to be used as a textbook for undergraduate students. Professors can select unanswered problems for tutorials while students have solutions for reference.
£85.50
World Scientific Publishing Co Pte Ltd Introduction To Graph Theory: With Solutions To
Book SynopsisGraph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. This book is intended as a general introduction to graph theory.The book builds on the verity that graph theory even at high school level is a subject that lends itself well to the development of mathematical reasoning and proof.This is an updated edition of two books already published with World Scientific, i.e., Introduction to Graph Theory: H3 Mathematics & Introduction to Graph Theory: Solutions Manual. The new edition includes solutions and hints to selected problems. This combination allows the book to be used as a textbook for undergraduate students. Professors can select unanswered problems for tutorials while students have solutions for reference.
£52.25
World Scientific Publishing Co Pte Ltd Combinatorial Knot Theory
Book SynopsisA classic knot is an embedded simple loop in 3-dimensional space. It can be described as a 4-valent planar graph or network in the horizontal plane, with the vertices or crossings corresponding to double points of a projection. At this stage we have the shadow of the knot defined by the projection. We can reconstruct the knot by lifting the crossings into two points in space, one above the other. This information is preserved at the vertices by cutting the arc which appears to go under the over crossing arc. We can then act on this diagram of the knot using the famous Reidemeister moves to mimic the motion of the knot in space. The result is classic combinatorial knot theory. In recent years, many different types of knot theories have been considered where the information stored at the crossings determines how the Reidemeister moves are used, if at all.In this book, we look at all these new theories systematically in a way which any third-year undergraduate mathematics student would understand. This book can form the basis of an undergraduate course or as an entry point for a postgraduate studying topology.
£66.50
Springer Verlag, Singapore A Guide to Graph Algorithms
Book SynopsisThis book A Guide to Graph Algorithms offers high-quality content in the research area of graph algorithms and explores the latest developments in graph algorithmics. The reader will gain a comprehensive understanding of how to use algorithms to explore graphs. It is a collection of texts that have proved to be trend setters and good examples of that. The book aims at providing the reader with a deep understanding of the structural properties of graphs that are useful for the design of efficient algorithms. These algorithms have applications in finite state machine modelling, social network theory, biology, and mathematics. The book contains many exercises, some up at present-day research-level. The exercises encourage the reader to discover new techniques by putting things in a clear perspective. A study of this book will provide the reader with many powerful tools to model and tackle problems in real-world scenarios.Trade Review“This book provides a guided tour through the research area of graph algorithms. … the authors give a good survey on recent topics in graph algorithms, which are supported by results from theory. … One of the main advantages of this book are its exercises. The exercises are the source for further research. In summary, this book is a good candidate for a course on graph algorithms intended for last year undergraduates or early graduate students in computer science.” (Ali Shakiba, zbMATH 1496.68003, 2022)Table of ContentsChapter 1. Graphs.- Chapter 2. Algorithms.- Chapter 3. Problem Formulations.- Chapter 4. Recent Trends.
£47.49
World Scientific Publishing Co Pte Ltd Groups, Combinatorics And Geometry
Book SynopsisOver the past 20 years, the theory of groups — in particular simple groups, finite and algebraic — has influenced a number of diverse areas of mathematics. Such areas include topics where groups have been traditionally applied, such as algebraic combinatorics, finite geometries, Galois theory and permutation groups, as well as several more recent developments. Among the latter are probabilistic and computational group theory, the theory of algebraic groups over number fields, and model theory, in each of which there has been a major recent impetus provided by simple group theory. In addition, there is still great interest in local analysis in finite groups, with substantial new input from methods of geometry and amalgams, and particular emphasis on the revision project for the classification of finite simple groups.This important book contains 20 survey articles covering many of the above developments. It should prove invaluable for those working in the theory of groups and its applications.Table of ContentsCurtis-Phan-Tits Theory, C.D. Bennett et al; Derangements in Simple and Primitive Groups, J. Fulman & R. Guralnick; Computing with Matrix Groups, W.M. Kantor & A. Seress; Bases of Primitive Permutation Groups, M.W. Liebeck & A. Shalev; Modular Subgroup Arithmetic, T.W. Muller; Counting Nets in the Monster, S.P. Norton; Overgroups of Finite Quasiprimitive Permutation Groups, C.E. Praeger; Old Groups Can Learn New Tricks, L. Pyber; Structure and Presentations of Lie-Type Groups, F.G. Timmesfeld; Computing in the Monster, R.A. Wilson; and other papers.
£143.10
World Scientific Publishing Co Pte Ltd Graph Algorithms And Applications 3
Book SynopsisThis book contains Volume 6 of the Journal of Graph Algorithms and Applications (JGAA). JGAA is a peer-reviewed scientific journal devoted to the publication of high-quality research papers on the analysis, design, implementation, and applications of graph algorithms. Areas of interest include computational biology, computational geometry, computer graphics, computer-aided design, computer and interconnection networks, constraint systems, databases, graph drawing, graph embedding and layout, knowledge representation, multimedia, software engineering, telecommunications networks, user interfaces and visualization, and VLSI circuit design.Graph Algorithms and Applications 3 presents contributions from prominent authors and includes selected papers from the Symposium on Graph Drawing (1999 and 2000). All papers in the book have extensive diagrams and offer a unique treatment of graph algorithms focusing on the important applications.
£80.75
World Scientific Publishing Co Pte Ltd Planar Graph Drawing
Book SynopsisThe book presents the important fundamental theorems and algorithms on planar graph drawing with easy-to-understand and constructive proofs. Extensively illustrated and with exercises included at the end of each chapter, it is suitable for use in advanced undergraduate and graduate level courses on algorithms, graph theory, graph drawing, information visualization and computational geometry. The book will also serve as a useful reference source for researchers in the field of graph drawing and software developers in information visualization, VLSI design and CAD.
£89.10
World Scientific Publishing Co Pte Ltd Graph-theoretic Techniques For Web Content Mining
Book SynopsisThis book describes exciting new opportunities for utilizing robust graph representations of data with common machine learning algorithms. Graphs can model additional information which is often not present in commonly used data representations, such as vectors. Through the use of graph distance — a relatively new approach for determining graph similarity — the authors show how well-known algorithms, such as k-means clustering and k-nearest neighbors classification, can be easily extended to work with graphs instead of vectors. This allows for the utilization of additional information found in graph representations, while at the same time employing well-known, proven algorithms.To demonstrate and investigate these novel techniques, the authors have selected the domain of web content mining, which involves the clustering and classification of web documents based on their textual substance. Several methods of representing web document content by graphs are introduced; an interesting feature of these representations is that they allow for a polynomial time distance computation, something which is typically an NP-complete problem when using graphs. Experimental results are reported for both clustering and classification in three web document collections using a variety of graph representations, distance measures, and algorithm parameters.In addition, this book describes several other related topics, many of which provide excellent starting points for researchers and students interested in exploring this new area of machine learning further. These topics include creating graph-based multiple classifier ensembles through random node selection and visualization of graph-based data using multidimensional scaling.Table of Contents# Introduction to Web Mining # Graph Similarity Techniques # Graph Models for Web Documents # Graph-Based Clustering # Graph-Based Classification # The Graph Hierarchy Construction Algorithm for Web Search Clustering
£124.20
World Scientific Publishing Co Pte Ltd Walk Through Combinatorics, A: An Introduction To
Book SynopsisThis is a textbook for an introductory combinatorics course that can take up one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each section, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis of their course.Just as with the first edition, the new edition walks the reader through the classic parts of combinatorial enumeration and graph theory, while also discussing some recent progress in the area: on the one hand, providing material that will help students learn the basic techniques, and on the other hand, showing that some questions at the forefront of research are comprehensible and accessible for the talented and hard-working undergraduate. The basic topics discussed are: the twelvefold way, cycles in permutations, the formula of inclusion and exclusion, the notion of graphs and trees, matchings and Eulerian and Hamiltonian cycles. The selected advanced topics are: Ramsey theory, pattern avoidance, the probabilistic method, partially ordered sets, and algorithms and complexity.As the goal of the book is to encourage students to learn more combinatorics, every effort has been made to provide them with a not only useful, but also enjoyable and engaging reading.Trade ReviewBona's book is an excellent choice for anyone who wants an introduction to this beautiful branch of mathematics ... Plentiful examples illustrate each of the topics included in the book. Bona does a supreme job of walking us through combinatorics."ChoiceTable of ContentsBasic Methods: Seven Is More Than Six. The Pigeon-Hole Principle; One Step at a Time. The Method of Mathematical Induction; Enumerative Combinatorics: There Are a Lot of Them. Elementary Counting Problems; No Matter How You Slice It. The Binomial Theorem and Related Identities; Divide and Conquer. Partitions; Not So Vicious Cycles. Cycles in Permutations; You Shall Not Overcount. The Sieve; A Function is Worth Many Numbers. Generating Functions; Graph Theory: Dots and Lines. The Origins of Graph Theory; Staying Connected. Trees; Finding a Good Match. Coloring and Matching; Do Not Cross. Planar Graphs; Horizons: Does It Clique? Ramsey Theory; So Hard to Avoid. Subsequence Conditions on Permutations; Who Knows What It Looks Like, but It Exists. The Probabilistic Method; At Least Some Order. Partial Orders and Lattices; The Sooner The Better. Combinatorial Algorithms; Does Many Mean More Than One? Computational Complexity.
£105.30
World Scientific Publishing Co Pte Ltd Walk Through Combinatorics, A: An Introduction To
Book SynopsisThis is a textbook for an introductory combinatorics course that can take up one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each section, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis of their course.Just as with the first edition, the new edition walks the reader through the classic parts of combinatorial enumeration and graph theory, while also discussing some recent progress in the area: on the one hand, providing material that will help students learn the basic techniques, and on the other hand, showing that some questions at the forefront of research are comprehensible and accessible for the talented and hard-working undergraduate. The basic topics discussed are: the twelvefold way, cycles in permutations, the formula of inclusion and exclusion, the notion of graphs and trees, matchings and Eulerian and Hamiltonian cycles. The selected advanced topics are: Ramsey theory, pattern avoidance, the probabilistic method, partially ordered sets, and algorithms and complexity.As the goal of the book is to encourage students to learn more combinatorics, every effort has been made to provide them with a not only useful, but also enjoyable and engaging reading.Table of ContentsBasic Methods: Seven Is More Than Six. The Pigeon-Hole Principle; One Step at a Time. The Method of Mathematical Induction; Enumerative Combinatorics: There Are a Lot of Them. Elementary Counting Problems; No Matter How You Slice It. The Binomial Theorem and Related Identities; Divide and Conquer. Partitions; Not So Vicious Cycles. Cycles in Permutations; You Shall Not Overcount. The Sieve; A Function is Worth Many Numbers. Generating Functions; Graph Theory: Dots and Lines. The Origins of Graph Theory; Staying Connected. Trees; Finding a Good Match. Coloring and Matching; Do Not Cross. Planar Graphs; Horizons: Does It Clique? Ramsey Theory; So Hard to Avoid. Subsequence Conditions on Permutations; Who Knows What It Looks Like, but It Exists. The Probabilistic Method; At Least Some Order. Partial Orders and Lattices; The Sooner The Better. Combinatorial Algorithms; Does Many Mean More Than One? Computational Complexity.
£67.45
World Scientific Publishing Co Pte Ltd Introduction To Graph Theory: Solutions Manual
Book SynopsisThis is a companion to the book Introduction to Graph Theory (World Scientific, 2006). The student who has worked on the problems will find the solutions presented useful as a check and also as a model for rigorous mathematical writing. For ease of reference, each chapter recaps some of the important concepts and/or formulae from the earlier book.Table of ContentsFundamental Concepts and Basic Results; Graph Isomorphisms, Subgraphs, the Complement of a Graph; Bipartite Graphs and Trees; Vertex-Colourings of Graphs; Matchings in Bipartite Graphs; Eulerian Multigraphs and Hamiltonian Graphs; Digraphs and Tournaments.
£54.15
World Scientific Publishing Co Pte Ltd Combinatorial Problems In Mathematical
Book SynopsisThis book focuses on combinatorial problems in mathematical competitions. It provides basic knowledge on how to solve combinatorial problems in mathematical competitions, and also introduces important solutions to combinatorial problems and some typical problems with often-used solutions. Some enlightening and novel examples and exercises are well chosen in this book.With this book, readers can explore, analyze and summarize the ideas and methods of solving combinatorial problems. Their mathematical culture and ability will be improved remarkably after reading this book.Table of ContentsCounting Principles and Counting Formulas; Pigeonhole Principles and Mean Value Principles; Generating Functions; Recurrence Sequence of Numbers; Classification and Method of Fractional Steps; Corresponding Method; Counting in Two Ways; Recurrence Method; Coloring Method and Evaluation Method; Proof by Contradiction and Extreme Principle; Locally Adjusted Method; Constructive Method; Combinatorial Counting Problems; Existence Problems and the Proof of Inequalities in Combinatorial Problems; Combinatorial Extremum Problems.
£26.60
World Scientific Publishing Co Pte Ltd Walk Through Combinatorics, A: An Introduction To
Book SynopsisThis is a textbook for an introductory combinatorics course lasting one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each section, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis of their course.Just as with the first three editions, the new edition walks the reader through the classic parts of combinatorial enumeration and graph theory, while also discussing some recent progress in the area: on the one hand, providing material that will help students learn the basic techniques, and on the other hand, showing that some questions at the forefront of research are comprehensible and accessible to the talented and hardworking undergraduate. The basic topics discussed are: the twelvefold way, cycles in permutations, the formula of inclusion and exclusion, the notion of graphs and trees, matchings, Eulerian and Hamiltonian cycles, and planar graphs.New to this edition are the Quick Check exercises at the end of each section. In all, the new edition contains about 240 new exercises. Extra examples were added to some sections where readers asked for them.The selected advanced topics are: Ramsey theory, pattern avoidance, the probabilistic method, partially ordered sets, the theory of designs, enumeration under group action, generating functions of labeled and unlabeled structures and algorithms and complexity.The book encourages students to learn more combinatorics, provides them with a not only useful but also enjoyable and engaging reading.The Solution Manual is available upon request for all instructors who adopt this book as a course text. Please send your request to sales@wspc.com.The previous edition of this textbook has been adopted at various schools including UCLA, MIT, University of Michigan, and Swarthmore College. It was also translated into Korean.
£93.60
World Scientific Publishing Co Pte Ltd Walk Through Combinatorics, A: An Introduction To
Book SynopsisThis is a textbook for an introductory combinatorics course lasting one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each section, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis of their course.Just as with the first three editions, the new edition walks the reader through the classic parts of combinatorial enumeration and graph theory, while also discussing some recent progress in the area: on the one hand, providing material that will help students learn the basic techniques, and on the other hand, showing that some questions at the forefront of research are comprehensible and accessible to the talented and hardworking undergraduate. The basic topics discussed are: the twelvefold way, cycles in permutations, the formula of inclusion and exclusion, the notion of graphs and trees, matchings, Eulerian and Hamiltonian cycles, and planar graphs.New to this edition are the Quick Check exercises at the end of each section. In all, the new edition contains about 240 new exercises. Extra examples were added to some sections where readers asked for them.The selected advanced topics are: Ramsey theory, pattern avoidance, the probabilistic method, partially ordered sets, the theory of designs, enumeration under group action, generating functions of labeled and unlabeled structures and algorithms and complexity.The book encourages students to learn more combinatorics, provides them with a not only useful but also enjoyable and engaging reading.The Solution Manual is available upon request for all instructors who adopt this book as a course text. Please send your request to sales@wspc.com.The previous edition of this textbook has been adopted at various schools including UCLA, MIT, University of Michigan, and Swarthmore College. It was also translated into Korean.
£54.00
World Scientific Publishing Co Pte Ltd Principles And Techniques In Combinatorics -
Book SynopsisThe solutions to each problem are written from a first principles approach, which would further augment the understanding of the important and recurring concepts in each chapter. Moreover, the solutions are written in a relatively self-contained manner, with very little knowledge of undergraduate mathematics assumed. In that regard, the solutions manual appeals to a wide range of readers, from secondary school and junior college students, undergraduates, to teachers and professors.
£38.00
World Scientific Publishing Co Pte Ltd Graph Theory: In Mathematical Olympiad And
Book SynopsisIn 1736, the mathematician Euler invented graph theory while solving the Konigsberg seven-bridge problem. Over 200 years later, graph theory remains the skeleton content of discrete mathematics, which serves as a theoretical basis for computer science and network information science. This book introduces some basic knowledge and the primary methods in graph theory by many interesting problems and games.Table of ContentsDefinition of Graph; Vertex Degrees; Turan Theorem; Tree; Euler Problem; Hamilton Problem; Planar Graph; Ramsey Problem; Tournament Graph.
£26.60
World Scientific Publishing Co Pte Ltd Design Theory
Book SynopsisThis book deals with the basic subjects of design theory. It begins with balanced incomplete block designs, various constructions of which are described in ample detail. In particular, finite projective and affine planes, difference sets and Hadamard matrices, as tools to construct balanced incomplete block designs, are included. Orthogonal latin squares are also treated in detail. Zhu's simpler proof of the falsity of Euler's conjecture is included. The construction of some classes of balanced incomplete block designs, such as Steiner triple systems and Kirkman triple systems, are also given. T-designs and partially balanced incomplete block designs (together with association schemes), as generalizations of balanced incomplete block designs, are included. Some coding theory related to Steiner triple systems are clearly explained. The book is written in a lucid style and is algebraic in nature. It can be used as a text or a reference book for graduate students and researchers in combinatorics and applied mathematics. It is also suitable for self-study.Table of ContentsBIBDS; Symmetric BIBDs; Resolvable BIBDs; Orthogonal Latin Squares; Pairwise Balanced Designs and Group Divisible Designs; Construction of Some Families of BIBDs; T-Designs; Steiner Systems; Association Schemes and PBIBDs.
£51.30
World Scientific Publishing Co Pte Ltd Random Sequential Packing Of Cubes
Book SynopsisIn this volume very simplified models are introduced to understand the random sequential packing models mathematically. The 1-dimensional model is sometimes called the Parking Problem, which is known by the pioneering works by Flory (1939), Renyi (1958), Dvoretzky and Robbins (1962). To obtain a 1-dimensional packing density, distribution of the minimum of gaps, etc., the classical analysis has to be studied. The packing density of the general multi-dimensional random sequential packing of cubes (hypercubes) makes a well-known unsolved problem. The experimental analysis is usually applied to the problem. This book introduces simplified multi-dimensional models of cubes and torus, which keep the character of the original general model, and introduces a combinatorial analysis for combinatorial modelings.Table of ContentsRandom Interval Packing; The Speed of Convergence to the Renyi Constant; The Dvoretzky Robbins Central Limit Theorem; Gap Size; The Minimum of Gaps; Kakutani's Interval Splitting; Sequential Bisection and Binary Search Tree; Car Parking with Spin; Golay Code and Random Packing; Discrete Cube Packing; Torus Cube Packing; Continuous Random Cube Packing in Cube and Torus; Combinatorial Enumeration.
£76.95
World Scientific Publishing Co Pte Ltd Grassmannians Of Classical Buildings
Book SynopsisBuildings are combinatorial constructions successfully exploited to study groups of various types. The vertex set of a building can be naturally decomposed into subsets called Grassmannians. The book contains both classical and more recent results on Grassmannians of buildings of classical types. It gives a modern interpretation of some classical results from the geometry of linear groups. The presented methods are applied to some geometric constructions non-related to buildings — Grassmannians of infinite-dimensional vector spaces and the sets of conjugate linear involutions.The book is self-contained and the requirement for the reader is a knowledge of basic algebra and graph theory. This makes it very suitable for use in a course for graduate students.Table of ContentsLinear Algebra and Projective Geometry; Buildings and Grassmannians; Classical Grassmannians; Polar and Half-Spin Grassmannians.
£62.70
World Scientific Publishing Co Pte Ltd Walk Through Combinatorics, A: An Introduction To
Book SynopsisThis is a textbook for an introductory combinatorics course lasting one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each section, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis of their course.Just as with the first two editions, the new edition walks the reader through the classic parts of combinatorial enumeration and graph theory, while also discussing some recent progress in the area: on the one hand, providing material that will help students learn the basic techniques, and on the other hand, showing that some questions at the forefront of research are comprehensible and accessible to the talented and hardworking undergraduate. The basic topics discussed are: the twelvefold way, cycles in permutations, the formula of inclusion and exclusion, the notion of graphs and trees, matchings, Eulerian and Hamiltonian cycles, and planar graphs.The selected advanced topics are: Ramsey theory, pattern avoidance, the probabilistic method, partially ordered sets, the theory of designs (new to this edition), enumeration under group action (new to this edition), generating functions of labeled and unlabeled structures and algorithms and complexity.As the goal of the book is to encourage students to learn more combinatorics, every effort has been made to provide them with a not only useful, but also enjoyable and engaging reading.The Solution Manual is available upon request for all instructors who adopt this book as a course text. Please send your request to sales@wspc.com.
£86.45
World Scientific Publishing Co Pte Ltd Counting (2nd Edition)
Book SynopsisThis book in its Second Edition is a useful, attractive introduction to basic counting techniques for upper secondary to undergraduate 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 honing basic skills and techniques in general problem solving. Many of the problems avoid routine and the diligent reader will often discover more than one way of solving a particular problem, which is indeed an important awareness in problem solving. The book thus helps to give students an early start to learning problem-solving heuristics and thinking skills.New chapters originally from a supplementary book have been added in this edition to substantially increase the coverage of counting techniques. The new chapters include the Principle of Inclusion and Exclusion, the Pigeonhole Principle, Recurrence Relations, the Stirling Numbers and the Catalan Numbers. A number of new problems have also been added to this edition.Table of ContentsThe Addition Principle; The Multiplication Principle; Subsets and Arrangements; Applications; The Bijection Principle; Distribution of Balls into Boxes; More Applications of (BP); Distribution of Distinct Objects into Distinct Boxes; Other Variations of the Distribution Problem; The Binomial Expansion; Some Useful Identities; Pascal's Triangle; The Principle of Inclusion and Exclusion; General Statement of the Principle of Inclusion and Exclusion; The Pigeonhole Principle; Recurrence Relations; The Stirling Numbers of the First Kind; The Stirling Numbers of the Second Kind; The Catalan Numbers; Miscellaneous Problems.
£45.60
World Scientific Publishing Co Pte Ltd Counting: Solutions Manual (2nd Edition)
Book SynopsisThis book is the essential companion to Counting (2nd Edition) (World Scientific, 2013), an introduction to combinatorics for secondary to undergraduate students. The book gives solutions to the exercises in Counting (2nd Edition). There is often more than one method to solve a particular problem and the authors have included alternative solutions whenever they are of interest.The rigorous and clear solutions will aid the reader in further understanding the concepts and applications in Counting (2nd Edition). An introductory section on problem solving as described by George Pólya will be useful in helping the lay person understand how mathematicians think and solve problems.Table of ContentsThe Addition Principle; The Multiplication Principle; Subsets and Arrangements; Applications; The Bijection Principle; Distribution of Balls into Boxes; More Applications of (BP); Distribution of Distinct Objects into Distinct Boxes; Other Variations of the Distribution Problem; The Binomial Expansion; Some Useful Identities; Pascal's Triangle; The Principle of Inclusion and Exclusion; General Statement of the Principle of Inclusion and Exclusion; The Pigeonhole Principle; Recurrence Relations; The Stirling Numbers of the First Kind; The Stirling Numbers of the Second Kind; The Catalan Numbers; Solutions to Miscellaneous Problems.
£33.25
World Scientific Publishing Co Pte Ltd Polygroup Theory And Related Systems
Book SynopsisThis monograph is devoted to the study of Polygroup Theory. It begins with some basic results concerning group theory and algebraic hyperstructures, which represent the most general algebraic context, in which reality can be modeled. Most results on polygroups are collected in this book. Moreover, this monograph is the first book on this theory. The volume is highly recommended to theoreticians in pure and applied mathematics.Table of ContentsA Brief Excursion into Group Theory; Hypergroups: Definitions and Examples of Hypergroups; Some Kinds of Subhypergroups; Homomorphism of Hypergroups; Regular and Strongly Regular Relations; Complete Hypergroups; Join Spaces; Polygroups: Definition and Examples of Polygroups; Extensions of Polygroups by Polygroups; Subpolygroups and Quotient Polygroups; Isomorphism Theorem of Polygroups; γ* Relation on Polygroups; Generalized Permutation; Permutation Polygroups; Representation of Polygroups; Polygroup Hyperrings; Solvable Polygroups; Nilpotent Polygroups; Weak Polygroups: Weak Hyperstructures; Weak Polygroups; Fundamental Relation on Weak Polygroups; Small Weak Polygroups; Combinatorial Aspects of Polygroups: Chromatic Polygroups; Polygroups Derived from Cogroups; Conjugation Lattice.
£61.75
World Scientific Publishing Co Pte Ltd Homological Algebra: In Strongly Non-abelian
Book SynopsisWe propose here a study of ‘semiexact’ and ‘homological' categories as a basis for a generalised homological algebra. Our aim is to extend the homological notions to deeply non-abelian situations, where satellites and spectral sequences can still be studied.This is a sequel of a book on ‘Homological Algebra, The interplay of homology with distributive lattices and orthodox semigroups’, published by the same Editor, but can be read independently of the latter.The previous book develops homological algebra in p-exact categories, i.e. exact categories in the sense of Puppe and Mitchell — a moderate generalisation of abelian categories that is nevertheless crucial for a theory of ‘coherence’ and ‘universal models’ of (even abelian) homological algebra. The main motivation of the present, much wider extension is that the exact sequences or spectral sequences produced by unstable homotopy theory cannot be dealt with in the previous framework.According to the present definitions, a semiexact category is a category equipped with an ideal of ‘null’ morphisms and provided with kernels and cokernels with respect to this ideal. A homological category satisfies some further conditions that allow the construction of subquotients and induced morphisms, in particular the homology of a chain complex or the spectral sequence of an exact couple.Extending abelian categories, and also the p-exact ones, these notions include the usual domains of homology and homotopy theories, e.g. the category of ‘pairs’ of topological spaces or groups; they also include their codomains, since the sequences of homotopy ‘objects’ for a pair of pointed spaces or a fibration can be viewed as exact sequences in a homological category, whose objects are actions of groups on pointed sets.Table of ContentsIntroduction; Semiexact categories; Homological Categories; Subquotients, Homology and Exact Couples; Satellites; Universal Constructions; Applications to Algebraic Topology; Homological Theories and Biuniversal Models; Appendix A. Some Points of Category Theory.
£95.40
World Scientific Publishing Co Pte Ltd Walk Through Combinatorics, A: An Introduction To
Book SynopsisThis is a textbook for an introductory combinatorics course lasting one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each section, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis of their course.Just as with the first two editions, the new edition walks the reader through the classic parts of combinatorial enumeration and graph theory, while also discussing some recent progress in the area: on the one hand, providing material that will help students learn the basic techniques, and on the other hand, showing that some questions at the forefront of research are comprehensible and accessible to the talented and hardworking undergraduate. The basic topics discussed are: the twelvefold way, cycles in permutations, the formula of inclusion and exclusion, the notion of graphs and trees, matchings, Eulerian and Hamiltonian cycles, and planar graphs.The selected advanced topics are: Ramsey theory, pattern avoidance, the probabilistic method, partially ordered sets, the theory of designs (new to this edition), enumeration under group action (new to this edition), generating functions of labeled and unlabeled structures and algorithms and complexity.As the goal of the book is to encourage students to learn more combinatorics, every effort has been made to provide them with a not only useful, but also enjoyable and engaging reading.The Solution Manual is available upon request for all instructors who adopt this book as a course text. Please send your request to sales@wspc.com.Table of ContentsBasic Methods Seven is More Than Six. The Pigeon-Hole Principle; One Step at a Time. The Method of Mathematical Induction; Enumerative Combinatorics There are a Lot of Them. Elementary Counting Problems; No Matter How You Slice It. The Binomial Theorem and Related Identities; Divide and Conquer. Partitions; Not So Vicious Cycles. Cycles in Permutations; You Shall Not Overcount. The Sieve; A Function is Worth Many Numbers. Generating Functions; Graph Theory Dots and Lines. The Origins of Graph Theory; Staying Connected. Trees; Finding a Good Match. Coloring and Matching; Do Not Cross. Planar Graphs; Horizons Does It clique? Ramsey Theory; So Hard to Avoid. Subsequence Conditions on Permutations; Who Knows What It Looks Like, But It Exists. The Probabilistic Method; At Least Some Order. Partial Orders and Lattices; As Evenly as Possible. Block Designs and Error Correcting Codes; Are They Really Different? Counting Unlabeled Structures; The Sooner the Better. Combinatorial Algorithms; Does Many Mean More Than One? Computational Complexity.
£45.60
World Scientific Publishing Co Pte Ltd Jim Totten's Problems Of The Week
Book SynopsisThis volume provides a wide selection of problems (and solutions) to all those interested in mathematical problem solving and is accessible to readers from high school students to professionals.It is a resource for those interested in mathematical competitions ranging from high school level to the William Lowell Putnam Mathematical Competition (for undergraduate students). The collection offers challenges for students, teachers, and recreational mathematicians.Table of ContentsCombinatorial Geometry; Functions; Higher Dimensional Geometry; Identities, Inequalities and Expressions; Logic, Games, Puzzles and Amusements in Math; Number Theory; Plane Geometry; Probability; Triangle Mathematics; Miscellaneous.
£53.20
World Scientific Publishing Co Pte Ltd Slicing The Truth: On The Computable And Reverse
Book SynopsisThis 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 theory to appreciate the exciting advances currently happening in the area, and perhaps make contributions of their own. It adopts a case-study approach, using the study of versions of Ramsey's Theorem (for colorings of tuples of natural numbers) and related principles as illustrations of various aspects of computability theoretic and reverse mathematical analysis. This book contains many exercises and open questions.
£36.10
World Scientific Publishing Co Pte Ltd Codes From Difference Sets
Book SynopsisThis is the first monograph on codebooks and linear codes from difference sets and almost difference sets. It aims at providing a survey of constructions of difference sets and almost difference sets as well as an in-depth treatment of codebooks and linear codes from difference sets and almost difference sets. To be self-contained, this monograph covers necessary mathematical foundations and the basics of coding theory. It also contains tables of best BCH codes and best cyclic codes over GF(2) and GF(3) up to length 125 and 79, respectively. This repository of tables can be used to benchmark newly constructed cyclic codes. This monograph is intended to be a reference for postgraduates and researchers who work on combinatorics, or coding theory, or digital communications.Table of ContentsMathematical Foundations; Linear Codes over Finite Fields; Designs and Their Codes; Difference Sets; Almost Difference Sets; Linear Codes of Difference Sets; Linear Codes of Almost Difference Sets; Codebooks from (Almost) Difference Sets;
£97.20
World Scientific Publishing Co Pte Ltd (1+ 1)-nonlinear Universe Of The Parabolic Map
Book SynopsisThis monograph develops chaos theory from properties of the graphs inverse to the parabolic map of the interval [0, 2], where the height at the midpoint x = 1 may be viewed as a time-like parameter, which together with the x-coordinate, provide the two parameters that uniquely characterize the parabola, and which are used throughout the monograph. There is only one basic mathematical operation used: function composition. The functions studied are the n-fold composition of the basic parabola with itself. However, it is the properties of the graph inverse to this n-fold composition that are the objects whose properties are developed. The reflection symmetry of the basic parabola through the vertical line x = 1 gives rise to two symmetry classes of inverse graphs: the inverse graphs and their conjugates. Quite remarkably, it turns out that there exists, among all the inverse graphs and their conjugates, a completely deterministic class of inverse graphs and their conjugates. Deterministic in the sense that this class is uniquely determined for all values of the time-like parameter and the x-coordinate, the entire theory, of course, being highly nonlinear — it is polynomial in the time-like parameter and in the x-coordinate. The deterministic property and its implementation are key to the argument that the system is a complex adaptive system in the sense that a few axioms lead to structures of unexpected richness.This monograph is about working out the many details that advance the notion that deterministic chaos theory, as realized by a complex adaptive system, is indeed a new body of mathematics that enriches our understanding of the world around us. But now the imagination is also opened to the possibility that the real universe is a complex adaptive system.* deceasedTable of ContentsIntroduction and Point of View; Recursive Construction; Description of Events in the Inverse Graph; The (1+1)-Dimensional Nonlinear Universe; The Creation Table; Graphical Presentation of MSS Roots; Graphical Presentation of Inverse Graphs;
£69.35
World Scientific Publishing Co Pte Ltd Graph Theory: Undergraduate Mathematics
Book SynopsisThis book is an expansion of our first book Introduction to Graph Theory: H3 Mathematics. While the first book was intended for capable high school students and university freshmen, this version covers substantially more ground and is intended as a reference and textbook for undergraduate studies in Graph Theory. In fact, the topics cover a few modules in the Graph Theory taught at the National University of Singapore. The reader will be challenged and inspired by the material in the book, especially the variety and quality of the problems, which are derived from the authors' years of teaching and research experience.
£95.40
World Scientific Publishing Co Pte Ltd Graph Theory: Undergraduate Mathematics
Book SynopsisThis book is an expansion of our first book Introduction to Graph Theory: H3 Mathematics. While the first book was intended for capable high school students and university freshmen, this version covers substantially more ground and is intended as a reference and textbook for undergraduate studies in Graph Theory. In fact, the topics cover a few modules in the Graph Theory taught at the National University of Singapore. The reader will be challenged and inspired by the material in the book, especially the variety and quality of the problems, which are derived from the authors' years of teaching and research experience.
£53.20
World Scientific Publishing Co Pte Ltd Contemporary Developments In Finite Fields And
Book SynopsisThe volume is a collection of 20 refereed articles written in connection with lectures presented at the 12th International Conference on Finite Fields and Their Applications ('Fq12') at Skidmore College in Saratoga Springs, NY in July 2015. Finite fields are central to modern cryptography and secure digital communication, and hence must evolve rapidly to keep pace with new technologies. Topics in this volume include cryptography, coding theory, structure of finite fields, algorithms, curves over finite fields, and further applications.Contributors will include: Antoine Joux (Fondation Partenariale de l'UPMC, France); Gary Mullen (Penn State University, USA); Gohar Kyureghyan (Otto-von-Guericke Universität, Germany); Gary McGuire (University College Dublin, Ireland); Michel Lavrauw (Università degli Studi di Padova, Italy); Kirsten Eisentraeger (Penn State University, USA); Renate Scheidler (University of Calgary, Canada); Michael Zieve (University of Michigan, USA).
£108.00
World Scientific Publishing Co Pte Ltd Combinatorial Extremization: In Mathematical
Book SynopsisIn China, lots of excellent students who are good at maths takes an active part in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved outstanding results — they have won the first place almost every year.The author is one of the coaches of China's IMO National Team, whose students have won many gold medals many times in IMO.This book is part of the Mathematical Olympiad Series which discusses several aspects related to maths contests, such as algebra, number theory, combinatorics, graph theory and geometry. The book elaborates on methods of discrete extremization, such as inequality control, repeated extremum, partial adjustment, exploiting symmetry, polishing transform, space estimates, etc.Table of ContentsInequality Control; Repeated Extremum; Partial Adjustment; Exploiting Symmetry; Polishing Transform; Space Estimates; Block Estimates; Guesses and Contradiction; Global Estimates; Parameter Estimates; Counting in Two Ways; Shrinking the Encirclement; Considering Special Cases; Solutions to Exercises;
£19.95
World Scientific Publishing Co Pte Ltd Combinatorial Identities For Stirling Numbers:
Book SynopsisThis book is a unique work which provides an in-depth exploration into the mathematical expertise, philosophy, and knowledge of H W Gould. It is written in a style that is accessible to the reader with basic mathematical knowledge, and yet contains material that will be of interest to the specialist in enumerative combinatorics. This book begins with exposition on the combinatorial and algebraic techniques that Professor Gould uses for proving binomial identities. These techniques are then applied to develop formulas which relate Stirling numbers of the second kind to Stirling numbers of the first kind. Professor Gould's techniques also provide connections between both types of Stirling numbers and Bernoulli numbers. Professor Gould believes his research success comes from his intuition on how to discover combinatorial identities.This book will appeal to a wide audience and may be used either as lecture notes for a beginning graduate level combinatorics class, or as a research supplement for the specialist in enumerative combinatorics.
£71.25
