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              Books in the Discrete Mathematics and Its Applications series

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              Volume Inequalities for Arrangements of Convex Bodies

              Volume Inequalities for Arrangements of Convex Bodies (Hardback)

              By Bezdek, Karoly; Khan, Muhammad Ali

              • RRP: $174.00
              • $174.00
              • Delayed Release

              The book is centered around two major conjectures of discrete geometry: the Hadwiger-Levi conjecture (1955) and the Kneser-Poulsen conjecture (1955). Although both conjectures have been solved only in dimension two and are open in higher dimensions, they have already influenced a... great deal of research in discrete geometry and surely will continue to do so. The book gives a detailed account of all major results already achieved with complete proofs and emphasizing the role of volumetric methods/inequalities. The book's main purpose is to present the relevant frontline research in discrete geometry while generating wider interest in two fundamental conjectures of discrete geometry.
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              ISBN 9781498743785
              Released NZ 22 Nov 2017
              Publisher Taylor & Francis Inc
              Interest Age 19+ years
              Series Discrete Mathematics and Its Applications
              Availability
              Pre-order title, release date has been delayed
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              Volumetric Discrete Geometry
               

              Volumetric Discrete Geometry (Hardback)

              By Bezdek, Karoly; Langi, Zsolt

              • RRP: $226.00
              • $226.00
              • To Order

              Volume of geometric objects was studied by ancient Greek mathematicians. In discrete geometry, a relatively new branch of geometry, volume plays a significant role in generating topics for research. Part I consists of survey chapters of selected topics on volume and Part II consi...sting of chapters of selected proofs of theorems stated in Part I. --
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              ISBN 9780367223755
              Released NZ 17 May 2019
              Publisher Taylor & Francis Ltd
              Interest Age 19+ years
              Series Discrete Mathematics and Its Applications
              Availability
              Indent title (internationally sourced), usually ships 4-6 weeks
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              Polynomials in Finite Geometry

              Polynomials in Finite Geometry (Hardback)

              By Sziklai, Peter

              • RRP: $174.00
              • $174.00
              • Delayed Release

              The main topic is what the title indicates: to collect, survey and categorize the results and theories achieved in the last 30 years with polynomial methods , mostly (but not exclusively) in finite geometries. It contains techniques based on the careful examination of coefficient...s of polynomials, resultants, algebraic curves, subspaces generated by certain polynomials, random-like behaviour, etc. Our polynomials are usually defined over a finite field, and they express some combinatorial or geometric property of a combinatorial or geometric structure. We go through several types of applications of the methods. There will be more than a hundred exercises with short solutions.
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              ISBN 9781498735964
              Released NZ 22 Oct 2019
              Publisher Taylor & Francis Inc
              Interest Age 19+ years
              Series Discrete Mathematics and Its Applications
              Availability
              Pre-order title, release date has been delayed
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              Combinatorics
               

              Combinatorics (Hardback, 2nd New edition)

              By Loehr, Nicholas

              • RRP: $193.00
              • $193.00
              • To Order/ Indent titles

              Previous edition: Bijective combinatorics / Nicholas A. Loehr (Boca Raton, FL: Chapman & Hall/CRC, c2011).

              ISBN 9781498780254
              Released NZ 24 Aug 2017
              Publisher Taylor & Francis Inc
              Interest Age 19+ years
              Series Discrete Mathematics and Its Applications
              Availability
              Indent title (sourced internationally), usually ships 4-6 weeks post release/order
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              Algorithmics of Nonuniformity: Tools and Paradigms

              Algorithmics of Nonuniformity: Tools and Paradigms (Hardback)

              By Hofri, Micha; Mahmoud, Hosam

              • RRP: $400.00
              • $400.00
              • In Stock At Publisher

              The subject is at the crossroads of Discrete Mathematics and Computer Science, with a strong probabilistic flavor. The main tools used before are on the one hand analytic (generating functions and complex analysis), and on the other probabilistic (strong laws, central limit theor...ems, martingales, etc.) Often, professionals worked with one set of tools or the other. We offer a reconciliation to espouse these fields to come in hand-in-hand offering a harmonious and beneficial marriage.
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              ISBN 9781498750714
              Released NZ 17 Jul 2018
              Publisher Taylor & Francis Inc
              Interest Age 19+ years
              Series Discrete Mathematics and Its Applications
              Availability
              In stock at publisher; ships 6-12 working days
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              A Java Library of Graph Algorithms and Optimization

              A Java Library of Graph Algorithms and Optimization (Paperback)

              By Lau, Hang T.

              • RRP: $130.00
              • $130.00
              • In Stock At Publisher

              Because of its portability and platform-independence, Java is the ideal computer programming language to use when working on graph algorithms and other mathematical programming problems. Collecting some of the most popular graph algorithms and optimization procedures, A Java Libr...ary of Graph Algorithms and Optimization provides the source code for a library of Java programs that can be used to solve problems in graph theory and combinatorial optimization. Self-contained and largely independent, each topic starts with a problem description and an outline of the solution procedure, followed by its parameter list specification, source code, and a test example that illustrates the usage of the code. The book begins with a chapter on random graph generation that examines bipartite, regular, connected, Hamilton, and isomorphic graphs as well as spanning, labeled, and unlabeled rooted trees. It then discusses connectivity procedures, followed by a paths and cycles chapter that contains the Chinese postman and traveling salesman problems, Euler and Hamilton cycles, and shortest paths. The author proceeds to describe two test procedures involving planarity and graph isomorphism. Subsequent chapters deal with graph coloring, graph matching, network flow, and packing and covering, including the assignment, bottleneck assignment, quadratic assignment, multiple knapsack, set covering, and set partitioning problems. The final chapters explore linear, integer, and quadratic programming. The appendices provide references that offer further details of the algorithms and include the definitions of many graph theory terms used in the book.
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              ISBN 9780367390136
              Released NZ 30 Aug 2019
              Publisher Taylor & Francis Ltd
              Interest Age 19+ years
              Series Discrete Mathematics and Its Applications
              Availability
              In stock at publisher; ships 6-12 working days
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              Graph Searching Games and Probabilistic Methods

              Graph Searching Games and Probabilistic Methods (Hardback)

              By Bonato, Anthony; Pralat, Pawel

              • RRP: $200.00
              • $200.00
              • In Stock At Publisher

              The book focuses on the application of probabilistic methods to graph searching games and processes such as Cops and Robbers and its variants, Firefighting, and graph cleaning. Players execute their strategies over discrete time-steps. A common element to all graph searching game...s is the view of dynamic processes on graphs. The probabilistic method is a powerful tool in mathematics. The method may apply probabilistic tools to deterministic settings, or study the properties of random structures such as random graphs. Research into the intersection of graph searching games and the probablistic method is relatively recent. This book is the first to focuses on this intersection.
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              ISBN 9781138627161
              Released NZ 22 Dec 2017
              Publisher Taylor & Francis Ltd
              Interest Age 19+ years
              Series Discrete Mathematics and Its Applications
              Availability
              In stock at publisher; ships 6-12 working days
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              Enumerative Combinatorics

              Enumerative Combinatorics (Paperback)

              By Charalambides, Charalambos A.

              • RRP: $130.00
              • $130.00
              • In Stock At Publisher

              Enumerative Combinatorics presents elaborate and systematic coverage of the theory of enumeration. The first seven chapters provide the necessary background, including basic counting principles and techniques, elementary enumerative topics, and an extended presentation of generat...ing functions and recurrence relations. The remaining seven chapters focus on more advanced topics, including, Stirling numbers, partitions of integers, partition polynomials, Eulerian numbers and Polya's counting theorem. Extensively classroom tested, this text was designed for introductory- and intermediate-level courses in enumerative combinatorics, but the far-reaching applications of the subject also make the book useful to those in operational research, the physical and social science, and anyone who uses combinatorial methods. Remarks, discussions, tables, and numerous examples support the text, and a wealth of exercises-with hints and answers provided in an appendix--further illustrate the subject's concepts, theorems, and applications.
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              ISBN 9780367396121
              Released NZ 30 Aug 2019
              Publisher Taylor & Francis Ltd
              Interest Age 19+ years
              Series Discrete Mathematics and Its Applications
              Availability
              In stock at publisher; ships 6-12 working days
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              Applied Mathematical Modeling: A Multidisciplinary Approach
               

              Applied Mathematical Modeling: A Multidisciplinary Approach (Paperback)

              Edited by Shier, Douglas R.; Wallenius, K. T.

              • RRP: $130.00
              • $130.00
              • Delayed Release

              The practice of modeling is best learned by those armed with fundamental methodologies and exposed to a wide variety of modeling experience. Ideally, this experience could be obtained by working on actual modeling problems. But time constraints often make this difficult. Applied ...Mathematical Modeling provides a collection of models illustrating the power and richness of the mathematical sciences in supplying insight into the operation of important real-world systems. It fills a gap within modeling texts, focusing on applications across a broad range of disciplines. The first part of the book discusses the general components of the modeling process and highlights the potential of modeling in practice. These chapters discuss the general components of the modeling process, and the evolutionary nature of successful model building. The second part provides a rich compendium of case studies, each one complete with examples, exercises, and projects. In keeping with the multidimensional nature of the models presented, the chapters in the second part are listed in alphabetical order by the contributor's last name. Unlike most mathematical books, in which you must master the concepts of early chapters to prepare for subsequent material, you may start with any chapter. Begin with cryptology, if that catches your fancy, or go directly to bursty traffic if that is your cup of tea. Applied Mathematical Modeling serves as a handbook of in-depth case studies that span the mathematical sciences, building upon a modest mathematical background. Readers in other applied disciplines will benefit from seeing how selected mathematical modeling philosophies and techniques can be brought to bear on problems in their disciplines. The models address actual situations studied in chemistry, physics, demography, economics, civil engineering, environmental engineering, industrial engineering, telecommunications, and other areas.
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              ISBN 9780367399306
              Released NZ 20 Dec 2019
              Publisher Taylor & Francis Ltd
              Interest Age 19+ years
              Series Discrete Mathematics and Its Applications
              Availability
              Pre-order title, release date has been delayed
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              Combinatorial Algorithms: Generation, Enumeration, and Search
                

              Combinatorial Algorithms: Generation, Enumeration, and Search (Hardback, Contains 11 Hardbacks)

              By Kreher, Donald L.; Stinson, Douglas R.

              • Imp. $530.00
              • $530.00
              • No availability locally

              Outlines and analyzes combinatorial algorithms for generation, enumeration and search applications. This work introduces the important combinatorial algorithmic techniques. It covers group algorithms, graph isomorphisms, hill-climbing and heuristic search algorithms.

              ISBN 9780849339882
              Released NZ 18 Dec 1998
              Publisher Taylor & Francis Inc
              Interest Age 19+ years
              Series Discrete Mathematics and Its Applications
              Availability
              Internationally sourced; usually ships 2-3 weeks
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