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In this Very Short Introduction Peter M. Higgins presents an overview of the number types featured in modern science and mathematics. Providing a non-technical account, he explores the evolution of the modern number system, examines the fascinating role of primes, and explains th...eir role in contemporary cryptography.
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Each chapter provides an exploration section with problems that deal with software evaluation, selection, modificationm and the solution of not entirely open-ended problems.
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Thoroughly revised and updated, the new Second Edition of Neville Robbinsa (TM) Beginning Number Theory includes all of the major topics covered in a classic Number Theory course and blends in numerous applications and specialized treatments of number theory, including Cryptology..., Fibonacci numbers, and Computational Number Theory. The text strikes a balance between traditional and algorithmic approaches to elementary number theory and is supported with numerous exercises, applications, and case studies throughout. Computer exercises for CAS systems are also included.
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Describes computational number theory and its applications to deriving fast algorithms for digital signal processing. The text demonstrates the importance of computational number theory in the design of processing algorithms and it describes the nature and structure of the algori...thms themselves.
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Presents the proceedings of the Third International Conference on Commutative Ring Theory held in Fez, Morocco. This title details the developments in commutative algebra and related areas. It examines wide-ranging developments in commutative algebra, together with connections to... algebraic number theory and algebraic geometry.
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Offers a treatment of option pricing with an emphasis on the valuation of American options on dividend-paying assets. This book reviews valuation principles for European contingent claims and analyses the American contingent claims. It presents basic valuation principles for Amer...ican options including barrier, capped, and multi-asset options.
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Suitable for graduate students, this title provides a survey of topological fields, and offers a relatively idiosyncratic account of valuation theory.
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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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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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This book examines some aspects of homogeneous Banach algebras and related topics to illustrate various methods used in several classes of group algebras. It guides the reader toward some of the problems in harmonic analysis such as the problems of factorizations and closed subal...gebras.
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