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Grassmannians of Classical Buildings
by Pankov, Mark       
(Hardcover - English - 9789814317566)
Buildings 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 ..
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An Introduction to Enumeration
by Camina, Alan    Lewis, Barry   
(Paperback - English - 9780857295996)
br Written for students taking a second or third year undergraduate course in mathematics or computer science, this book is the ideal companion to a course in enumeration. Enumeration is a branch of combinatorics where the fundamental subject matter is numerous methods of pattern formation and counting. Introduction to Enumeration provides a comprehensive and practical introduction to this subject giving a clear account of fundamental results and a thorough grounding in the use of powerful techniques and tools. Two major themes run in parallel through the book, generating functions and group theory. The former theme takes enumerative sequences and then uses ana ..
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Graph Theory
by Bondy, Adrian    Murty, U. S. R.   
(Paperback - English - 9781849966900)
By the authors of the classic text, Graph Theory with Applications Serves as both a textbook and an introduction to graph theory research, suitable for both mathematicians and computer scientists Features many new exercises of varying levels of difficulty to help the reader master the techniques An accompanying website blog at blogs.springer.com bondyandmurty provides a forum for further discussion and a wealth of supplementary material ..
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Lectures on the Combinatorics of Free Probability
by Nica, Alexandru    Speicher, Roland   
(Paperback - English - 9780521858526)
Free Probability Theory studies a special class of 'noncommutative' random variables, which appear in the context of operators on Hilbert spaces and in one of the large random matrices. Since its emergence in the 1980s, free probability has evolved into an established field of mathematics with strong connections to other mathematical areas, such as operator algebras, classical probability theory, random matrices, combinatorics, representation theory of symmetric groups. Free probability also connects to more applied scientific fields, such as wireless communication in electrical engineering. This book is the first to give a self-contained and comprehensive intro ..
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The Mathematics of Logic: A Guide to Completeness Theorems and Their Applications
by Kaye, Richard W.       
(Paperback - English - 9780521708777)
This undergraduate textbook covers the key material for a typical first course in logic, in particular presenting a full mathematical account of the most important result in logic, the Completeness Theorem for first-order logic. Looking at a series of interesting systems, increasing in complexity, then proving and discussing the Completeness Theorem for each, the author ensures that the number of new concepts to be absorbed at each stage is manageable, whilst providing lively mathematical applications throughout. Unfamiliar terminology is kept to a minimum, no background in formal set-theory is required, and the book contains proofs of all the required set theor ..
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Rp. 1.143.000
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Additive Combinatorics
by Tao, Terence    Vu, Van H.   
(Hardcover - English - 9780521853866)
Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years thanks to its connections with areas such as number theory, ergodic theory and graph theory. This graduate-level 2006 text will allow students and researchers easy entry into this fascinating field. Here, the authors bring together in a self-contained and systematic manner the many different tools and ideas that are used in the modern theory, presenting them in an accessible, coherent, and intuitively clear manner, and providing immediate applications to problems in additive combinatorics. The ..
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The Mathematics of Logic: A Guide to Completeness Theorems and Their Applications
by Kaye, Richard W.       
(Hardcover - English - 9780521882194)
This undergraduate textbook covers the key material for a typical first course in logic, in particular presenting a full mathematical account of the most important result in logic, the Completeness Theorem for first-order logic. Looking at a series of interesting systems, increasing in complexity, then proving and discussing the Completeness Theorem for each, the author ensures that the number of new concepts to be absorbed at each stage is manageable, whilst providing lively mathematical applications throughout. Unfamiliar terminology is kept to a minimum, no background in formal set-theory is required, and the book contains proofs of all the required set theor ..
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Special Order
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Rp. 2.746.000
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Rp. 3.229.000
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Solutions Manual to accompany Combinatorial Reasoning: An Introduction to the Art of Counting
by DeTemple, Duane       
(Paperback - English - 9781118830789)
COMBINATORIAL REASONING Showcases the interdisciplinary aspects of combinatorics and illustrates how to problem solve with a multitude of exercises Written by two well-known scholars in the field, Combinatorial Reasoning: An Introduction to the Art of Counting presents a clear and comprehensive introduction to the concepts and methodology of beginning combinatorics. Focusing on modern techniques and applications, the book develops a variety of effective approaches to solving counting problems. Balancing abstract ideas with specific topical coverage, the book utilizes real-world examples with problems ranging from basic calculations that are designed to develo ..
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Combinatorial Reasoning: An Introduction to the Art of Counting
by DeTemple, Duane W.    Webb, William   
(Hardcover - English - 9781118652183)
Written by two well-known scholars in the field, Combinatorial Reasoning: An Introduction to the Art of Counting presents a clear and comprehensive introduction to the concepts and methodology of beginning combinatorics. Focusing on modern techniques and applications, the book develops a variety of effective approaches to solving counting problems. Balancing abstract ideas with specific topical coverage, the book utilizes real world examples with problems ranging from basic calculations that are designed to develop fundamental concepts to more challenging exercises that allow for a deeper exploration of complex combinatorial situations. Simple cases are treate ..
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Lottery Icon: Practicum Edition
by Ugbor, Eze       
(Paperback - English - 9781496047847)
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Positional Games
by Hefetz, Dan    Krivelevich, Michael    Stojakovic, Milos
(Paperback - English - 9783034808248)
This text is based on a lecture course given by the authors in the framework of Oberwolfach Seminars at the Mathematisches Forschungsinstitut Oberwolfach in May, 2013. It is intended to serve as a thorough introduction to the rapidly developing field of positional games. This area constitutes an important branch of combinatorics, whose aim it is to systematically develop an extensive mathematical basis for a variety of two player perfect information games. These ranges from such popular games as Tic-Tac-Toe and Hex to purely abstract games played on graphs and hypergraphs. The subject of positional games is strongly related to several other branches of combinato ..
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How to Count: An Introduction to Combinatorics and Its Applications
by Beeler, Robert A.       
(Hardcover - English - 9783319138435)
Providing a self-contained resource for upper undergraduate courses in combinatorics, this text emphasizes computation, problem solving, and proof technique. In particular, the book places special emphasis the Principle of Inclusion and Exclusion and the Multiplication Principle. To this end, exercise sets are included at the end of every section, ranging from simple computations (evaluate a formula for a given set of values) to more advanced proofs. The exercises are designed to test students' understanding of new material, while reinforcing a working mastery of the key concepts previously developed in the book. Intuitive descriptions for many abstract techniqu ..
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Sparsity: Graphs, Structures, and Algorithms
by Nesetřil, Jaroslav    Ossona De Mendez, Patrice   
(Paperback - English - 9783642427763)
PartPresentation: 1. Introduction.- 2. A Few Problems.- 3. Commented Contents.- Part II. The Theory: 4. Prolegomena.- 5. Measuring Sparsity.- 6. Classes and their Classification.- 7. Bounded Height Trees and Tree-Depth.- 8. Decomposition.- 9. Independence.- 10. First-Order Constraint Satisfaction Problems and Homomorphism Dualities.- 11. Restricted Homomorphism Dualities.- 12. Counting.- 13. Back to Classes.- Part III Applications: 14. Classes with Bounded Expansion - Examples.- 15. Property Testing, Hyperfiniteness and Separators.- 16. Algorithmic Applications.- 17. Other Applications.- 18. Conclusion.- Bibliography.- Index.- List of Symbols​. ..
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An Introduction to Combinatorial Analysis
by Riordan, John       
(Paperback - English - 9780691615882)
This book introduces combinatorial analysis to the beginning student. The author begins with the theory of permutation and combinations and their applications to generating functions. In subsequent chapters, he presents Bell polynomials; the principle of inclusion and exclusion; the enumeration of permutations in cyclic representation; the theory of distributions; partitions, compositions, trees and linear graphs; and the enumeration of restricted permutations. Originally published in 1980. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton ..
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Rp. 1.358.000
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Basic Concepts of Graph Algorithms: Combinatorics for Computer Science
by Williamson, S. Gill       
(Paperback - English - 9781500276812)
We describe and study the interplay between intuition and the precise description of graph algorithms. We learn how to use ordered rooted trees to develop and describe complex recursive algorithms. Depth first search, lineal spanning trees, chords, and backedges are used to understand complex algorithms such as those for biconnectivity and planarity. More general algoithms such as orderly algorithms are discussed in detail. We focus on the visualization of algorithms through the use of graphical and pictorial methods. This approach is both fun and powerful, preparing you to invent your own algorithms for a wide range of problems. ..
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Rp. 180.000
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Bent Functions: Results and Applications to Cryptography
by Tokareva, Natalia       
(Paperback - English - 9780128023181)
Bent Functions: Results and Applications to Cryptography offers a unique survey of the objects of discrete mathematics known as Boolean bent functions. As these maximal, nonlinear Boolean functions and their generalizations have many theoretical and practical applications in combinatorics, coding theory, and cryptography, the text provides a detailed survey of their main results, presenting a systematic overview of their generalizations and applications, and considering open problems in classification and systematization of bent functions. The text is appropriate for novices and advanced researchers, discussing proofs of several results, including the automo ..
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Special Order
Buku Special Order biasanya dipenuhi dalam 4-7 minggu. Tidak bisa menggabungkan buku ini dengan buku lain dalam satu order. Buku dikirim kurir lokal dengan nomor lacak
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Rp. 1.966.000
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Rp. 2.312.000
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A Course in Topological Combinatorics
by De Longueville, Mark       
(Paperback - English - 9781489988263)
A Course in Topological Combinatorics is the first undergraduate textbook on the field of topological combinatorics, a subject that has become an active and innovative research area in mathematics over the last thirty years with growing applications in math, computer science, and other applied areas. Topological combinatorics is concerned with solutions to combinatorial problems by applying topological tools. In most cases these solutions are very elegant and the connection between combinatorics and topology often arises as an unexpected surprise. The textbook covers topics such as fair division, graph coloring problems, evasiveness of graph properties, and em ..
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Introduction to Enumerative and Analytic Combinatorics
by Bona, Miklos       
(Hardcover - English - 9781482249095)
strong Introduction to Enumerative and Analytic Combinatorics strong fills the gap between introductory texts in discrete mathematics and advanced graduate texts in enumerative combinatorics. The book first deals with basic counting principles, compositions and partitions, and generating functions. It then focuses on the structure of permutations, graph enumeration, and extremal combinatorics. Lastly, the text discusses supplemental topics, including error-correcting codes, properties of sequences, and magic squares. Strengthening the analytic flavor of the book, this strong Second Edition strong : ul li Features a new chapter on analytic combinatoric ..
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Eulerian Numbers
by Petersen, T. Kyle       
(Hardcover - English - 9781493930906)
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Combinatorial Identities for Stirling Numbers: The Unpublished Notes of H W Gould
by Quaintance, Jocelyn    Gould, Henry W.   
(Hardcover - English - 9789814725262)
This 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 betwe ..
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