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            Number Theory

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            Area, Lattice Points, and Exponential Sums
             

            Area, Lattice Points, and Exponential Sums (Hardback)

            By Huxley, M. N.

            • RRP: $529.99
            • $529.99
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            This monograph is concerned with the application of exponential sum techniques to a variety of problems in number theory, in particular the Riemann zeta function and the problem of estimating the number of lattice points in regions.

            ISBN 9780198534662
            Released NZ 13 Jun 1996
            Publisher Oxford University Press (S3)
            Interest Age General Audience
            Series London Mathematical Society Monographs
            Availability
            Indent title (internationally sourced), usually ships 4-6 weeks
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            A Course in Number Theory
             

            A Course in Number Theory (Paperback, 2nd Revised edition)

            By Rose, H. E.

            • RRP: $141.99
            • $141.99
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            This textbook, aimed at undergraduate mathematicians, covers the main topics in number theory: the properties of ordinary numbers and fractions. Many modern aspects are covered, including (briefly) the latest work on Fermat's last theorem.

            ISBN 9780198523765
            Released NZ 14 Sep 1995
            Publisher Oxford University Press (S3)
            Interest Age 19+ years
            Availability
            Indent title (internationally sourced), usually ships 4-6 weeks
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            Hilbert Modular Forms and Iwasawa Theory
             

            Hilbert Modular Forms and Iwasawa Theory (Hardback)

            By Hida, Haruzo

            • RRP: $278.99
            • $278.99
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            Describes the applications found for the Wiles and Taylor technique. This book generalizes the deformation theoretic techniques of Wiles-Taylor to Hilbert modular forms (following Fujiwara's treatment), and also discusses applications found by the author. With exercises and open ...questions, this text is useful for researchers and graduate students.
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            ISBN 9780198571025
            Released NZ 1 Jul 2006
            Publisher Oxford University Press (S3)
            Interest Age 19+ years
            Series Oxford Mathematical Monographs
            Availability
            Indent title (internationally sourced), usually ships 4-6 weeks
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            Elliptic Polynomials

            Elliptic Polynomials (Paperback)

            By Lomont, J. S.; Brillhart, John

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

            A remarkable interplay exists between the fields of elliptic functions and orthogonal polynomials. In the first monograph to explore their connections, Elliptic Polynomials combines these two areas of study, leading to an interesting development of some basic aspects of each. It ...presents new material about various classes of polynomials and about the odd Jacobi elliptic functions and their inverses. The term elliptic polynomials refers to the polynomials generated by odd elliptic integrals and elliptic functions. In studying these, the authors consider such things as orthogonality and the construction of weight functions and measures, finding structure constants and interesting inequalities, and deriving useful formulas and evaluations. Although some of the material may be familiar, it establishes a new mathematical field that intersects with classical subjects at many points. Its wealth of information on important properties of polynomials and clear, accessible presentation make Elliptic Polynomials valuable to those in real and complex analysis, number theory, and combinatorics, and will undoubtedly generate further research.
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            ISBN 9780367398200
            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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            Noncommutative Geometry and Cayley-smooth Orders

            Noncommutative Geometry and Cayley-smooth Orders (Paperback)

            By Le Bruyn, Lieven

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

            Noncommutative Geometry and Cayley-smooth Orders explains the theory of Cayley-smooth orders in central simple algebras over function fields of varieties. In particular, the book describes the etale local structure of such orders as well as their central singularities and finite ...dimensional representations. After an introduction to partial desingularizations of commutative singularities from noncommutative algebras, the book presents the invariant theoretic description of orders and their centers. It proceeds to introduce etale topology and its use in noncommutative algebra as well as to collect the necessary material on representations of quivers. The subsequent chapters explain the etale local structure of a Cayley-smooth order in a semisimple representation, classify the associated central singularity to smooth equivalence, describe the nullcone of these marked quiver representations, and relate them to the study of all isomorphism classes of n-dimensional representations of a Cayley-smooth order. The final chapters study Quillen-smooth algebras via their finite dimensional representations. Noncommutative Geometry and Cayley-smooth Orders provides a gentle introduction to one of mathematics' and physics' hottest topics.
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            ISBN 9780367388706
            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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            Catalan Numbers with Applications
             

            Catalan Numbers with Applications (Hardback)

            By Koshy, Thomas

            • RRP: $249.99
            • $249.99
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            This book presents a clear and comprehensive introduction to one of the truly fascinating topics in mathematics: Catalan numbers. They crop up in chess, computer programming and even train tracks. In addition to lucid descriptions of the mathematics and history behind Catalan num...bers, Koshy includes short biographies of the prominent mathematicians who have worked with the numbers.
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            ISBN 9780195334548
            Released NZ 27 Nov 2008
            Publisher Oxford University Press (S3)
            Interest Age General Audience
            Availability
            Indent title (internationally sourced), usually ships 4-6 weeks
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            Numerical Methods

            Numerical Methods (Hardback, 3rd edition)

            By Faires, J. Douglas; Burden, Richard L.

            • RRP: $239.50
            • $239.50
            • In Stock At Publisher

            This book emphasizes the intelligent application of approximation techniques to the type of problems that commonly occur in engineering and the physical sciences. Readers learn why the numerical methods work, what type of errors to expect, and when an application might lead to di...fficulties. The authors also provide information about the availability of high-quality software for numerical approximation routines. In this book, full mathematical justifications are provided only if they are concise and add to the understanding of the methods. The emphasis is placed on describing each technique from an implementation standpoint, and on convincing the reader that the method is reasonable both mathematically and computationally.
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            ISBN 9780534407612
            Released NZ 18 Jul 2002
            Publisher Cengage Learning, Inc
            Interest Age General Audience
            Availability
            In stock at publisher; ships 6-12 working days
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            Cake-Cutting Algorithms: Be Fair if You Can

            Cake-Cutting Algorithms: Be Fair if You Can (Hardback)

            By Robertson, Jack; Webb, William

            • RRP: $86.99
            • $86.99
            • In Stock At Publisher

            A comprehensive discussion of the state-of-the-art in cake cutting problems for the novice and professional. The author offers a complete treatment of all cake cutting algorithms under all the considered definitions of fair and presents them in a reader-friendly manner.

            ISBN 9781568810768
            Released NZ 1 May 1998
            Publisher Taylor & Francis Inc
            Interest Age 19+ years
            Availability
            In stock at publisher; ships 6-12 working days
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            Orthogonal Functions: Moment Theory and Continued Fractions
             

            Orthogonal Functions: Moment Theory and Continued Fractions (Trade Paperback / Paperback, Contains 199 Paperback / softbacks)

            Edited by Jones, William B.; Ranga, A. Sri

            • RRP: $517.00
            • $517.00
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            Outlines an array of work on the analytic theory and potential applications of continued fractions, linear functionals, orthogonal functions, moment theory, and integral transforms. This work describes links between continued fractions, Pade approximation, special functions, and ...Gaussian quadrature.
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            ISBN 9780824702076
            Released NZ 24 Jul 1998
            Publisher Taylor & Francis Inc
            Interest Age 19+ years
            Series Lecture Notes in Pure and Applied Mathematics
            Availability
            Indent title (internationally sourced), usually ships 4-6 weeks
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            Complex Analysis in Number Theory

            Complex Analysis in Number Theory (Hardback)

            By Karatsuba, Anatoly A.

            • RRP: $412.00
            • $412.00
            • In Stock At Publisher

            Examines the application of complex analysis methods to the theory of prime numbers. This book presents the theory of Riemann zeta-function and, specifically, distribution of its zeros. It demonstrates significant methods of the analysis as applied to fundamental problems of numb...er theory.
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            ISBN 9780849328664
            Released NZ 22 Nov 1994
            Publisher Taylor & Francis Inc
            Interest Age 19+ years
            Availability
            In stock at publisher; ships 6-12 working days
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