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            Combinatorics & Graph Theory

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            Graph Theory and Interconnection Networks

            Graph Theory and Interconnection Networks (Paperback)

            By Hsu, Lih-Hsing; Lin, Cheng-Kuan

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

            The advancement of large scale integrated circuit technology has enabled the construction of complex interconnection networks. Graph theory provides a fundamental tool for designing and analyzing such networks. Graph Theory and Interconnection Networks provides a thorough underst...anding of these interrelated topics. After a brief introduction to graph terminology, the book presents well-known interconnection networks as examples of graphs, followed by in-depth coverage of Hamiltonian graphs. Different types of problems illustrate the wide range of available methods for solving such problems. The text also explores recent progress on the diagnosability of graphs under various models.
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            ISBN 9780367386771
            Released NZ 30 Aug 2019
            Publisher Taylor & Francis Ltd
            Interest Age 19+ years
            Availability
            In stock at publisher; ships 6-12 working days
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            Experimental Mathematics with Maple
             

            Experimental Mathematics with Maple (Hardback)

            By Vivaldi, Franco

            • RRP: $353.00
            • $353.00
            • To Order/ Indent titles

            As discrete mathematics rapidly becomes a required element of undergraduate mathematics programs, algebraic software systems replace compiled languages and are now most often the computational tool of choice. Newcomers to university level mathematics, therefore, must not only gra...sp the fundamentals of discrete mathematics, they must also learn to use an algebraic manipulator and develop skills in abstract reasoning.Experimental Mathematics with MAPLE uniquely responds to these needs. Following an emerging trend in research, it places abstraction and axiomatization at the end of a learning process that begins with computer experimentation. It introduces the foundations of discrete mathematics and, assuming no previous knowledge of computing, gradually develops basic computational skills using the latest version of the powerful MAPLE software. The author's approach is to expose readers to a large number of concrete computational examples and encourage them to isolate the general from the particular, to synthesize computational results, formulate conjectures, and attempt rigorous proofs. Using this approach, Experimental Mathematics with MAPLE enables readers to build a foundation in discrete mathematics, gain valuable experience with algebraic computing, and develop a familiarity with basic abstract concepts, notation, and jargon. Its engaging style, numerous exercises and examples, and Internet posting of selected solutions and MAPLE worksheets make this text ideal for use both in the classroom and for self-study.
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            ISBN 9781138411968
            Released NZ 30 Jun 2017
            Publisher Taylor & Francis Ltd
            Interest Age 19+ years
            Availability
            Indent title (sourced internationally), usually ships 4-6 weeks post release/order
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            Small Worlds: The Dynamics of Networks between Order and Randomness
             

            Small Worlds: The Dynamics of Networks between Order and Randomness (Trade Paperback / Paperback)

            By Watts, Duncan J.

            • RRP: $99.00
            • $99.00
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            Uses the phenomenon called 'six degrees of separation' as a prelude to a more general exploration: under what conditions can a small world arise in any kind of network? This book is intended for a variety of fields, including physics and mathematics, as well as sociology, economi...cs, and biology.
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            ISBN 9780691117041
            Released NZ 15 Nov 2003
            Publisher Princeton University Pre
            Interest Age 19+ years
            Series Princeton Studies in Complexity
            Language (English)
            Availability
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            The Structure of Affine Buildings. (AM-168)
             

            The Structure of Affine Buildings. (AM-168) (Trade Paperback / Paperback)

            By Weiss, Richard M.

            • RRP: $174.00
            • $174.00
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            Gives a presentation of the complete proof of the classification of Bruhat-Tits buildings first completed by Jacques Tits in 1986. This book includes numerous results about automorphisms, completions, and residues of these buildings.

            ISBN 9780691138817
            Released NZ 15 Sep 2008
            Publisher Princeton University Pre
            Interest Age 19+ years
            Series Annals of Mathematics Studies
            Language (English)
            Availability
            Indent title (internationally sourced), usually ships 4-6 weeks
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            Discrete Mathematical Structures: A Succinct Foundation
             

            Discrete Mathematical Structures: A Succinct Foundation (Hardback)

            By Kumar, B. V. Senthil; Dutta, Hemen

            • RRP: $297.00
            • $297.00
            • To Order

            This book contains fundamental concepts on discrete mathematical structures in a crispy style so that learners could grasp the contents and explanation easily. The concepts of discrete mathematical structures have lot of applications in computer science, engineering and informati...on technology including in coding techniques, switching circuits, pointers and linked allocation, error corrections, as well as in data networking, Chemistry, Biology and many other significant scientific areas. The book is for undergraduate and graduate levels learners and educators associated with various courses and progammes in Mathematics, Computer Science, Engineering and Information Technology. The book should serve as a text and reference guide to many undergraduate and graduate programmes of the disciplines mentioned above being offered by many institutions including colleges and universities. Readers will find solved examples and end of the chapter exercise in each chapter for practise and enhance the understanding of topics discussed. Features Gives comprehensive coverage of basic ideas of logic, mathematical induction, graph theory, Algebraic structures and Lattices and Boolean Algebra Provides lot of solved examples and at the end of each chapter, problems for practice are given to the readers Delivers materials on valid arguments and rules of inference is presented with lot of illustrations Focuses further on Algebraic structures so that the readers may know how to work with discrete structures, which are the abstract mathematical structures used to represent discrete objects and relationships between these objects
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            ISBN 9780367148690
            Released NZ 15 Aug 2019
            Publisher Taylor & Francis Ltd
            Interest Age General Audience
            Series Mathematics and Its Applications
            Availability
            Indent title (internationally sourced), usually ships 4-6 weeks
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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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            Analytic Combinatorics: A Multidimensional Approach
             

            Analytic Combinatorics: A Multidimensional Approach (Hardback)

            By Mishna, Marni

            • RRP: $181.00
            • $181.00
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            This text offers an intuitive presentation to remove barriers to further study. The book will work through lattice path problems, where the more difficult points are combinatorial and build up to the more fine points of technique. The first half is more combinatorial, and works t...owards a comprehensive study of the Kernel method and diagonals --
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            ISBN 9781138489769
            Released NZ 16 Dec 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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            Introduction to Ramsey Spaces (AM-174)
             

            Introduction to Ramsey Spaces (AM-174) (Trade Paperback / Paperback)

            By Todorcevic, Stevo

            • RRP: $134.00
            • $134.00
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            Ramsey theory is an area of combinatorics with deep connections to other fields of mathematics such as topological dynamics, ergodic theory, mathematical logic, and algebra. This book presents a method for building higher-dimensional Ramsey spaces from basic one-dimensional princ...iples.
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            ISBN 9780691145426
            Released NZ 15 Jul 2010
            Publisher Princeton University Pre
            Interest Age 19+ years
            Series Annals of Mathematics Studies
            Language (English)
            Availability
            Indent title (internationally sourced), usually ships 4-6 weeks
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            On Knots. (AM-115), Volume 115
             

            On Knots. (AM-115), Volume 115 (Trade Paperback / Paperback)

            By Kauffman, Louis H.

            • RRP: $279.00
            • $279.00
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            On Knots is a journey through the theory of knots, starting from the simplest combinatorial ideas--ideas arising from the representation of weaving patterns. From this beginning, topological invariants are constructed directly: first linking numbers, then the Conway polynomial an...d skein theory. This paves the way for later discussion of the recently discovered Jones and generalized polynomials. The central chapter, Chapter Six, is a miscellany of topics and recreations. Here the reader will find the quaternions and the belt trick, a devilish rope trick, Alhambra mosaics, Fibonacci trees, the topology of DNA, and the author's geometric interpretation of the generalized Jones Polynomial. Then come branched covering spaces, the Alexander polynomial, signature theorems, the work of Casson and Gordon on slice knots, and a chapter on knots and algebraic singularities.The book concludes with an appendix about generalized polynomials.
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            ISBN 9780691084350
            Released NZ 15 Oct 1987
            Publisher Princeton University Pre
            Interest Age 19+ years
            Series Annals of Mathematics Studies
            Language (English)
            Availability
            Indent title (internationally sourced), usually ships 4-6 weeks
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            Knots, Groups and 3-Manifolds (AM-84), Volume 84: Papers Dedicated to the Memory of R.H. Fox. (AM-84)
             

            Knots, Groups and 3-Manifolds (AM-84), Volume 84: Papers Dedicated to the Memory of R.H. Fox. (AM-84) (Trade Paperback / Paperback)

            By Neuwirth, Lee Paul

            • RRP: $222.00
            • $222.00
            • To Order

            There is a sympathy of ideas among the fields of knot theory, infinite discrete group theory, and the topology of 3-manifolds. This book contains fifteen papers in which new results are proved in all three of these fields. These papers are dedicated to the memory of Ralph H. Fox,... one of the world's leading topologists, by colleagues, former students, and friends. In knot theory, papers have been contributed by Goldsmith, Levine, Lomonaco, Perko, Trotter, and Whitten. Of these several are devoted to the study of branched covering spaces over knots and links, while others utilize the braid groups of Artin. Cossey and Smythe, Stallings, and Strasser address themselves to group theory. In his contribution Stallings describes the calculation of the groups In/In+1 where I is the augmentation ideal in a group ring RG. As a consequence, one has for each k an example of a k-generator l-relator group with no free homomorphs. In the third part, papers by Birman, Cappell, Milnor, Montesinos, Papakyriakopoulos, and Shalen comprise the treatment of 3-manifolds. Milnor gives, besides important new results, an exposition of certain aspects of our current knowledge regarding the 3- dimensional Brieskorn manifolds.
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            ISBN 9780691081700
            Released NZ 15 Aug 1975
            Publisher Princeton University Pre
            Interest Age 19+ years
            Series Annals of Mathematics Studies
            Language (English)
            Availability
            Indent title (internationally sourced), usually ships 4-6 weeks
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