Andreescu, Titu 1956- creator Dospinescu, Gabriel. text bibliography txu Allen, TX XYZ Press c2008 2008 monographic eng

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xvi, 571 p. ; 22 cm. Some useful substitutions -- Always Cauchy-Schwarz... --- Look at the exponent -- Primes and squares -- T2's lemma -- Some classical problems in extremal graphy theory -- Complex combinatorics -- Formal series revisited -- A brief introduction to algebraic number theory -- Arithmetic properties of polynomials -- Lagrange interpolation formula -- Higher algebra in combinatorics -- Geometry and numbers -- The smaller, the better -- Density and regular distribution -- The digit sum of a positive integer -- At the border of analysis and number theory -- Quadratic reciprocity -- Solving elementary inequalities using integrals --Pigeonhole principle revisited -- Some useful irreducibility criteria -- Cycles, paths, and other ways -- Some special applications of polynomials. Titu Andreescu, Gabriel Dospinescu. Includes bibliographies (p. 563-569) and index. Mathematics Problems, exercises, etc QA43 .A534 2008 510 9780979926907 0979926904 2008924026 JRY 150802 20150802130228.0 29447