Mathematical Olympiad Challenges
(Sprache: Englisch)
{\it Mathematical Olympiad Challenges} is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems...
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{\it Mathematical Olympiad Challenges} is a rich collection of
problems put together by two experienced and well-known professors and
coaches of the U.S. International Mathematical Olympiad Team. Hundreds
of beautiful, challenging, and instructive problems from algebra,
geometry, trigonometry, combinatorics, and number theory were selected
from numerous mathematical competitions and journals. An important
feature of the work is the comprehensive background material provided
with each grouping of problems.
The problems are clustered by topic into self-contained sections with
solutions provided separately. All sections start with an essay
discussing basic facts and one or two representative examples. A list
of carefully chosen problems follows and the reader is invited to take
them on. Additionally, historical insights and asides are presented to
stimulate further inquiry. The emphasis throughout is on encouraging
readers to move away from routine exercises and memorized algorithms
toward creative solutions to open-ended problems.
Aimed at motivated high school and beginning college students and
instructors, this work can be used as a text for advanced problem-
solving courses, for self-study, or as a resource for teachers and
students training for mathematical competitions and for teacher
professional development, seminars, and workshops. TOC:[see attached for complete TOC]
Foreword (by Mark Saul) * Preface * PART I: Problems * 1. Geometry and
Trigonometry * 2. Algebra and Analysis * 3. Number Theory and
Combinatorics * PART II: Solutions * 1. Geometry and Trigonometry * 2.
Algebra and Analysis * 3. Number Theory and Combinatorics * Appendix:
Definitions and Notation
Klappentext zu „Mathematical Olympiad Challenges “
Mathematical Olympiad Challenges is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory were selected from numerous mathematical competitions and journals. An important feature of the work is the comprehensive background material provided with each grouping of problems. The problems are clustered by topic into self-contained sections with solutions provided separately. All sections start with an essay discussing basic facts and one or two representative examples. A list of carefully chosen problems follows and the reader is invited to take them on. Additionally, historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on encouraging readers to move away from routine exercises and memorized algorithms toward creative solutions to open-ended problems.
Aimed at motivated high school and beginning college students and instructors, this work can be used as a text for advanced problem- solving courses, for self-study, or as a resource for teachers and students training for mathematical competitions and for teacher professional development, seminars, and workshops.
Inhaltsverzeichnis zu „Mathematical Olympiad Challenges “
Foreword (by Mark Saul) Preface
PART I: Problems
1. Geometry and Trigonometry
2. Algebra and Analysis
3. Number Theory and Combinatorics
PART II: Solutions
1. Geometry and Trigonometry
2. Algebra and Analysis
3. Number Theory and Combinatorics
Appendix: Definitions and Notation
Bibliographische Angaben
- Autoren: Titu Andreescu , Razvan Gelca
- 2000, XVII, 260 Seiten, 85 Schwarz-Weiß-Abbildungen, Maße: 23,4 x 15,6 cm, Gebunden, Englisch
- Vorwort: Saul, Mark
- Verlag: Springer
- ISBN-10: 0817641904
- ISBN-13: 9780817641900
Sprache:
Englisch
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