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            Number Theory

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            Quadratic Irrationals: An Introduction to Classical Number Theory
             

            Quadratic Irrationals: An Introduction to Classical Number Theory (Hardback)

            By Halter-Koch, Franz

            • RRP: $400.00
            • $400.00
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            This work focuses on the number theory of quadratic irrationalities in various forms, including continued fractions, orders in quadratic number fields, and binary quadratic forms. It presents classical results obtained by the famous number theorists Gauss, Legendre, Lagrange, and... Dirichlet. Collecting information previously scattered in the literature, the book covers the classical theory of continued fractions, quadratic orders, binary quadratic forms, and class groups based on the concept of a quadratic irrational.
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            ISBN 9781466591837
            Released NZ 17 Jun 2013
            Publisher Taylor & Francis Inc
            Interest Age 19+ years
            Series Chapman & Hall/CRC Pure and Applied Mathematics
            Availability
            Indent title (internationally sourced), allow 8-12 weeks
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            Diophantine Analysis
             

            Diophantine Analysis (Paperback)

            By Steuding, Jorn

            • RRP: $134.00
            • $134.00
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            While its roots reach back to the third century, diophantine analysis continues to be an extremely active and powerful area of number theory. Many diophantine problems have simple formulations, they can be extremely difficult to attack, and many open problems and conjectures rema...in. Diophantine Analysis examines the theory of diophantine approximations and the theory of diophantine equations, with emphasis on interactions between these subjects. Beginning with the basic principles, the author develops his treatment around the theory of continued fractions and examines the classic theory, including some of its applications. He also explores modern topics rarely addressed in other texts, including the abc conjecture, the polynomial Pell equation, and the irrationality of the zeta function and touches on topics and applications related to discrete mathematics, such as factoring methods for large integers. Setting the stage for tackling the field's many open problems and conjectures, Diophantine Analysis is an ideal introduction to the fundamentals of this venerable but still dynamic field. A detailed appendix supplies the necessary background material, more than 200 exercises reinforce the concepts, and engaging historical notes bring the subject to life.
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            ISBN 9780367392857
            Released NZ 30 Aug 2019
            Publisher Taylor & Francis Ltd
            Interest Age 19+ years
            Availability
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            Buildings and Schubert Schemes

            Buildings and Schubert Schemes (Hardback)

            By Contou-Carrere, Carlos

            • RRP: $400.00
            • $400.00
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            A book in which algebra and algebraic geometry, combinatorics, and group theory interact in unusual and deep ways, this book discusses buildings and Schubert schemes. The first part of the book introduces Schubert cells and varieties of the general linear group GL(k^(r+1)) over a... field k according to Ehresmann's theorem. Smooth resolutions for these varieties are constructed in terms of Flag configurations in k^(r+1) given by linear graphs called minimal galleries. The second part focuses on Schubert schemes, the universal Schubert scheme, and their canonical smooth resolution in terms of the incidence relation in a relative building, which are constructed for a reductive group scheme.
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            ISBN 9781498768290
            Released NZ 1 Nov 2016
            Publisher Taylor & Francis Inc
            Interest Age 16+ years
            Availability
            Back Order Indent title (sourced internationally), Allow 8-12 weeks due to Covid 19 freight delays
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            Concise Introduction to Logic and Set Theory
             

            Concise Introduction to Logic and Set Theory (Hardback)

            By Jebril, Iqbal H.; Dutta, Hemen; Cho, Ilwoo

            • RRP: $306.00
            • $306.00
            • Pub Date
              14 Oct 21

            This book deals with two most important branches of mathematics, namely, logic and set theory. Logic and set theory are two closely related branches of mathematics that play very crucial roles in the foundations of mathematics, and together produce several results in all of mathe...matics.
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            ISBN 9780367077952
            Released NZ 14 Oct 2021
            Publisher Taylor & Francis Ltd
            Interest Age General Audience
            Series Mathematics and Its Applications
            Availability
            Available for pre-order, ships once released
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            Number Theory and Its Applications
             

            Number Theory and Its Applications (Hardback)

            Edited by Yildirim, Cem Y.; Stepanov, Serguei A.

            • RRP: $341.00
            • $341.00
            • Pub Date
              30 Sep 21

            With nearly 1500 references, equations, drawings, and tables, Number Theory and Its Applications benefits number theorists, coding theorists, algebraists, algebraic geometers, applied mathematicians, information theorists, and upper-level undergraduate and graduate students in th...ese fields.
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            ISBN 9781138404076
            Released NZ 30 Sep 2021
            Publisher Taylor & Francis Ltd
            Interest Age 19+ years
            Availability
            Available for pre-order, ships once released
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            Algebra and Number Theory: An Integrated Approach

            Algebra and Number Theory: An Integrated Approach (Hardback)

            By Dixon, Martyn R.; Kurdachenko, Leonid A.; Subbotin, Igor Ya

            • RRP: $411.50
            • $411.50
            • Available At Publisher

            Based on the authors' experience, this book was developed for one course that integrates linear algebra, abstract algebra, and number theory in an effort to use time more efficiently. The book's integrated approach helps to build a deeper understanding of the subject for readers ...as well as improve their retention of knowledge.
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            ISBN 9780470496367
            Released NZ 6 Aug 2010
            Publisher John Wiley & Sons Australia Lt
            Interest Age General Audience
            Availability
            Available at publisher; allow 3-6 weeks delivery due to Covid 19 freight delays
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            Elliptic Polynomials
             

            Elliptic Polynomials (Paperback)

            By Lomont, J. S.; Brillhart, John

            • RRP: $134.00
            • $134.00
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            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
            Indent title (internationally sourced), allow 8-12 weeks
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            The Queen of Mathematics: A Historically Motivated Guide to Number Theory
             

            The Queen of Mathematics: A Historically Motivated Guide to Number Theory (Hardback)

            By Goldman, Jay

            • RRP: $400.00
            • $400.00
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            This is an examination of number theory as it emerged in the 17th through to the 19th century, leading to an understanding of today's research problems on the basis of their historical evolution. The book introduces the reader to the mathematicians Fermat, Euler, Lagrange, Legend...re and Gauss.
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            ISBN 9781568810065
            Released NZ 15 Nov 1997
            Publisher Taylor & Francis Inc
            Interest Age 19+ years
            Availability
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            Advanced Number Theory with Applications
             

            Advanced Number Theory with Applications (Hardback)

            By Mollin, Richard A.

            • RRP: $423.00
            • $423.00
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            Offering an introduction to algebraic number theory, this text focuses on ideals and quadratic forms, before moving on to Liouville's theorem, Euler's constant, and Minkowski's convex body problem and proof.

            ISBN 9781420083286
            Released NZ 26 Aug 2009
            Publisher Taylor & Francis Ltd
            Interest Age 19+ years
            Series Discrete Mathematics and Its Applications
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            The Mathematics of Ciphers: Number Theory and RSA Cryptography
             

            The Mathematics of Ciphers: Number Theory and RSA Cryptography (Hardback, Revised edition)

            By Coutinho, S. C.

            • RRP: $353.00
            • $353.00
            • To Order

            A revised and updated translation of a work originally published in Portuguese in 1997. It introduces the algorithmic aspects of number theory and its applications to the study of codes, and of code-breaking. The work ends with study of the Rivest, Shamir, and Aldeman (RSA) publi...c key cryptosystem,
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            ISBN 9781568810829
            Released NZ 15 Jan 1999
            Publisher Taylor & Francis Inc
            Interest Age 19+ years
            Availability
            Indent title (internationally sourced), allow 8-12 weeks
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