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Mathematical gems III / Ross Honsberger.

By: Honsberger, Ross, 1929-.
Material type: materialTypeLabelBookSeries: Dolciani mathematical expositions: Publisher: Washington, DC : Mathematical Association of America, 1985Description: 250p : ill ; 22cm + pbk.ISBN: 0883853183.Subject(s): Number theory | Combinatorial analysis | Geometry | MathematicsDDC classification: 510
Contents:
Gleanings from combinatorics -- Gleanings from geometry -- Two problems in combinatorial geometry -- Sheep fleecing with Walter Funkenbusch -- Two problems in graph theory -- Two applications of generating functions -- Some problems from the Olympiads -- A second look at the Fibonacci and Lucas numbers -- Some problems in combinatorics -- Four clever schemes in cryptography -- Gleanings from number theory -- Schur's theorem: an application of Ramsey's theorem -- Two applications of Helly's theorem -- An introduction to Ramanujan's highly composite numbers -- On sets of points in the plane -- Two surprises from algebra -- A problem of Paul Erdos -- Cia Mao-Cheng's solution to Katona's problem on families of separating subsets.
Holdings
Item type Current library Call number Copy number Status Date due Barcode Item holds
General Lending MTU Bishopstown Library Lending 510 (Browse shelf(Opens below)) 1 Available 00010590
Total holds: 0

Enhanced descriptions from Syndetics:

Mathematical Gems III follows and strengthens the tradition established by Honsberger's earlier works, all best sellers and winners of rave reviews. It has something for everyone - students, teachers, and armchair mathematicians alike. Here you will find gems from elementary combinatorics, number theory, and geometry. Each essay contains historical commentary, interesting anecdotes, mathematical background, and a careful discussion built around a famous problem, theorem, or mathematician. It also contains a collection of fascinating and illuminating exercises related to the topics of the essays.

Includes index.

Gleanings from combinatorics -- Gleanings from geometry -- Two problems in combinatorial geometry -- Sheep fleecing with Walter Funkenbusch -- Two problems in graph theory -- Two applications of generating functions -- Some problems from the Olympiads -- A second look at the Fibonacci and Lucas numbers -- Some problems in combinatorics -- Four clever schemes in cryptography -- Gleanings from number theory -- Schur's theorem: an application of Ramsey's theorem -- Two applications of Helly's theorem -- An introduction to Ramanujan's highly composite numbers -- On sets of points in the plane -- Two surprises from algebra -- A problem of Paul Erdos -- Cia Mao-Cheng's solution to Katona's problem on families of separating subsets.

Table of contents provided by Syndetics

  • 1 Gleanings from combinatorics
  • 2 Gleanings from geometry
  • 3 Two problems in combinatorial geometry
  • 4 Sheep fleecing with Walter Funkenbusch
  • 5 Two problems in graph theory
  • 6 Two applications of generating functions
  • 7 Some problems from the Olympiads
  • 8 A second look at the Fibonacci and Lucas numbers
  • 9 Some problems in combinatorics
  • 10 Four clever schemes in cryptography
  • 11 Gleanings from number theory
  • 12 Schur's theorem: an application of Ramsey's theorem
  • 13 Two applications of Helly's theorem
  • 14 An introduction to Ramanujan's highly composite numbers
  • 15 On sets of points in the plane
  • 16 Two surprises from algebra
  • 17 A problem of Paul Erd÷s
  • 18 Cai Mao-Cheng's solution to Katona's problem on families of separating subsets

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