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Number Theory
Titu Andreescu, Dorin Andrica (Gebundene Ausgabe, Englisch)
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Beschreibung
Number theory, an ongoing rich area of mathematical exploration, is noted for its theoretical depth, with connections and applications to other fields from representation theory, to physics, cryptography, and more. While the forefront of number theory is replete with sophisticated and famous open problems, at its foundation are basic, elementary ideas that can stimulate and challenge beginning… students. This lively introductory text focuses on a problem-solving approach to the subject. Key features of Number Theory: Structures, Examples, and Problems: * A rigorous exposition starts with the natural numbers and the basics. * Important concepts are presented with an example, which may also emphasize an application. The exposition moves systematically and intuitively to uncover deeper properties. * Topics include divisibility, unique factorization, modular arithmetic and the Chinese Remainder Theorem, Diophantine equations, quadratic residues, binomial coefficients, Fermat and Mersenne primes and other special numbers, and special sequences. Sections on mathematical induction and the pigeonhole principle, as well as a discussion of other number systems are covered. * Unique exercises reinforce and motivate the reader, with selected solutions to some of the problems. * Glossary, bibliography, and comprehensive index round out the text. Written by distinguished research mathematicians and renowned teachers, this text is a clear, accessible introduction to the subject and a source of fascinating problems and puzzles, from advanced high school students to undergraduates, their instructors, and general readers at all levels. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
11.03.2009
Sprache
Englisch
EAN
9780817632458
Herausgeber
Birkhäuser Boston
Sonderedition
Nein
Autor
Titu Andreescu, Dorin Andrica
Seitenanzahl
384
Einbandart
Gebundene Ausgabe
Buch Untertitel
Structures, Examples, and Problems
Schlagwörter
Arithmetic, Mersenne prime, Pigeonhole principle, Prime, Problem-solving, binomial, cryptography, equation, function, mathematical induction, number theory, theorem, combinatorics
Thema-Inhalt
PBH - Zahlentheorie
PB - Mathematik
PBF - Algebra
PBD - Diskrete Mathematik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Birkhäuser, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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