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Hungarian Problem Book IV

Hungarian Problem Book IV

$43.99 (P)

Part of MAA Problem Book Series

George Berzsenyi
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  • Date Published: March 2012
  • format: Paperback
  • isbn: 9780883858318

$ 43.99 (P)
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About the Authors
  • The Kürschák Mathematics Competition is the oldest high school mathematics competition in the world, dating back to 1894. This book is a continuation of Hungarian Problem Book III and takes the contest through 1963. Forty-eight problems in all are presented in this volume. Problems are classified under combinatorics, graph theory, number theory, divisibility, sums and differences, algebra, geometry, tangent lines and circles, geometric inequalities, combinatorial geometry, trigonometry and solid geometry. Multiple solutions to the problems are presented along with background material. There is a substantial section entitled 'Looking Back', which provides additional insights into the problems. Hungarian Problem Book IV is intended for beginners, although the experienced student will find much here. Beginners are encouraged to work the problems in each section and then to compare their results against the solutions presented in the book. They will find ample material in each section to help them improve their problem-solving techniques.

    • Working through the book allows students to develop their problem-solving skills
    • Background material and solutions are included
    • Suitable for beginners
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    Product details

    • Date Published: March 2012
    • format: Paperback
    • isbn: 9780883858318
    • length: 130 pages
    • dimensions: 228 x 152 x 7 mm
    • weight: 0.19kg
  • Table of Contents

    Foreword George Berzsenyi
    Preface
    List of winners
    1. Kürschák Mathematics Competition problems:
    1947
    1948
    1949
    1950
    1951
    1952
    1953
    1954
    1955
    1957
    1958
    1959
    1960
    1961
    1962
    1963
    Part II. Background:
    2. Theorems in combinatorics
    3. Additional theorems in combinatorics
    4. Theorems in number theory
    5. Theorems in algebra
    6. Additional theorems in algebra
    7. Theorems in geometry
    Part III. Solutions to Problems:
    8. Problem set: combinatorics
    9. Problem set: graph theory
    10. Problem set: number theory
    11. Problem set: divisibility
    12. Problem set: sums and differences
    13. Problem set: algebra
    14. Problem set: geometry
    15. Problem set: tangent lines and circles
    16. Problem set: geometric inequalities
    17. Problem set: combinatorial geometry
    18. Problem set: trigonometry
    19. Problem set: solid geometry
    Part IV. Looking Back:
    20. Discussion on combinatorics
    21. Discussion on number theory
    22. Discussion on algebra
    23. Discussion on geometry
    About the editors.

  • Editors and translators

    Robert Barrington Leigh

    Andy Liu

    Contributors

    George Berzsenyi

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