Problems from the book / Titu Andreescu and Gabriel Dospinescu.
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TextPublication details: Allen, TX : XYZ Press, ©2008.Description: xvi, 571 pages ; 22 cmISBN: - 9780979926907
- 510 23 An558
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 510 An558 (Browse shelf(Opens below)) | Available | 138016 |
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| 510 AMST(365/9) Transactions of the American Mathematical Society | 510 An547 Mathematics for quantum chemistry | 510 An549 Romping through mathematics | 510 An558 Problems from the book / | 510 An566 Ramanujan's lost notebook | 510 An566 Ramanujan's lost notebook / | 510 AnL Analyse non lineaire |
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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