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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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By Niven, Ivan
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This self-contained treatment covers approximation of irrationals by rationals, product of linear forms, multiples of an irrational number, approximation of complex numbers, and product of complex linear forms. 1963 edition.
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Integrating parametric, algebraic, and projective curves, this title presents topics range from conics, higher algebraic and transcendental curves, to the properties of parametric curves, the classification of limacons, envelopes, and to projective curves, their relationship to a...lgebraic curves, and their application to asymptotes and boundedness.
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Innovative study applies classical analytic number theory to nontraditional subjects. Covers arithmetical semigroups and algebraic enumeration problems, arithmetical semigroups with analytical properties of classical type, and analytical properties of other arithmetical systems. ...1975 edition.
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This book provides an account of part of the theory of Lie algebras most relevant to Lie groups. It discusses the basic theory of Lie algebras, including the classification of complex semisimple Lie algebras, and the Levi, Cartan and Iwasawa decompositions.
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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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This book gives a reasonably self-contained account of a number of algorithmic problems and their solutions for linear algebraic groups. The theory underpinning the algorithms is described as well. Topics include closed sets in affine space, lie algebras, linear algebraic groups ...basic constructions, algebraic groups and their lie algebras in characteristic zero, arithmetic groups, reductive algebraic groups, and -groups.
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Focuses on the interaction between algebra and algebraic geometry. This book describes abelian groups and lattices, algebras and binomial ideals, cones and fans, affine and projective algebraic varieties, simplicial and cellular complexes, polytopes, and arithmetics.
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