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Library,Documentation and Information Science Division

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borderland which separates the known from the unknown”

-P.C.Mahalanobis


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Problems from the book / Titu Andreescu and Gabriel Dospinescu.

By: Contributor(s): Material type: TextTextPublication details: Allen, TX : XYZ Press, ©2008.Description: xvi, 571 pages ; 22 cmISBN:
  • 9780979926907
Subject(s): DDC classification:
  • 510 23 An558
Contents:
1. Some useful substitutions -- 2. Always Cauchy-Schwarz ... --- 3. Look at the exponent -- 4. Primes and squares -- 5. T2's lemma -- 6. Some classical problems in extremal graphy theory -- 7. Complex combinatorics -- 8. Formal series revisited -- 9. A brief introduction to algebraic number theory -- 10. Arithmetic properties of polynomials -- 11. Lagrange interpolation formula -- 12. Higher algebra in combinatorics -- 13. Geometry and numbers -- 14. The smaller, the better -- 15. Density and regular distribution -- 16. The digit sum of a positive integer -- 17. At the border of analysis and number theory -- 18. Quadratic reciprocity -- 19. Solving elementary inequalities using integrals -- 20. Pigeonhole principle revisited -- 21. Some useful irreducibility criteria -- 22. Cycles, paths, and other ways -- 23. Some special applications of polynomials.
Summary: Presents beautiful results, intriguing problems, and ingenious solutions. The problems range from elementary gems to deep truths. A truly delightful and highly instructive book, this will prepare the engaged reader not only for any mathematics competition they may enter but also for a lifetime of mathematical enjoyment.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 510 An558 (Browse shelf(Opens below)) Available 138016
Total holds: 0

Includes bibliographical references and index.

1. Some useful substitutions --
2. Always Cauchy-Schwarz ... ---
3. Look at the exponent --
4. Primes and squares --
5. T2's lemma --
6. Some classical problems in extremal graphy theory --
7. Complex combinatorics --
8. Formal series revisited --
9. A brief introduction to algebraic number theory --
10. Arithmetic properties of polynomials --
11. Lagrange interpolation formula --
12. Higher algebra in combinatorics --
13. Geometry and numbers --
14. The smaller, the better --
15. Density and regular distribution --
16. The digit sum of a positive integer --
17. At the border of analysis and number theory --
18. Quadratic reciprocity --
19. Solving elementary inequalities using integrals --
20. Pigeonhole principle revisited --
21. Some useful irreducibility criteria --
22. Cycles, paths, and other ways --
23. Some special applications of polynomials.

Presents beautiful results, intriguing problems, and ingenious solutions. The problems range from elementary gems to deep truths. A truly delightful and highly instructive book, this will prepare the engaged reader not only for any mathematics competition they may enter but also for a lifetime of mathematical enjoyment.

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