The Theory of Partitions / George E Andrews

By: Andrews, George EContributor(s): Andrews, George EMaterial type: TextTextPublisher number: :Zafaa Books & Distributors | :313/56F 49A, Anand Nagar Inderlok Delhi 110035Series: Encyclopedia of mathematics and its applications, v. 2.; Encyclopedia of mathematics and its applicationsPublication details: New York : Cambridge University Press, 1984Description: xvi, 255p. 24cmISBN: 9780521637664Subject(s): Mathematics | Algebra | Number theory | Partitions (Mathematics) | Mathematics -- Algebra -- Intermediate | Partition | Partition (Zahlentheorie)DDC classification: 512.73 AND
Contents:
1. The elementary theory of partitions; 2. Infinite series generating functions; 3. Restricted partitions and permutations; 4. Compositions and Simon Newcomb's problem; 5. The Hardy-Ramanujan-Rademacher expansion of p(n); 6. The asymptotics of infinite product generating functions; 7. Identities of the Rogers-Ramanujan type; 8. A general theory of partition identities; 9. Sieve methods related to partitions; 10. Congruence properties of partition functions; 11. Higher-dimensional partitions; 12. Vector or multipartite partitions; 13. Partitions in combinatorics; 14. Computations for partitions.
Summary: Discusses mathematics related to partitions of numbers into sums of positive integers.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Mathematics Departmental Library Mathematics Departmental Library SNU LIBRARY
512.73 AND (Browse shelf(Opens below)) Checked out to Dr. Neha Gupta (20500087) 01/09/2023 00:00 M392
Total holds: 0

Imprint and ISBN from label on title page verso. Imprint on title page: Reading, Mass. : Addison-Wesley Pub. Co., Advanced Book Program, 1976.
Publication taken over by Cambridge University Press in 1984 with a new copyright date.

1. The elementary theory of partitions; 2. Infinite series generating functions; 3. Restricted partitions and permutations; 4. Compositions and Simon Newcomb's problem; 5. The Hardy-Ramanujan-Rademacher expansion of p(n); 6. The asymptotics of infinite product generating functions; 7. Identities of the Rogers-Ramanujan type; 8. A general theory of partition identities; 9. Sieve methods related to partitions; 10. Congruence properties of partition functions; 11. Higher-dimensional partitions; 12. Vector or multipartite partitions; 13. Partitions in combinatorics; 14. Computations for partitions.

Discusses mathematics related to partitions of numbers into sums of positive integers.

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