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Mathematical Olympiad Challenges

Mathematical Olympiad Challenges Cover

 

Synopses & Reviews

Publisher Comments:

This signficantly revised and expanded second edition of 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 from numerous mathematical competitions and journals have been selected and updated. The problems are clustered by topic into self-contained sections with solutions provided separately. Historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on creative solutions to open-ended problems.

New to the second edition:

* Completely rewritten discussions precede each of the 30 units, adopting a more user-friendly style with more accessible and inviting examples

* Many new or expanded examples, problems, and solutions

* Additional references and reader suggestions have been incorporated

Featuring enhanced motivation for advanced high school and beginning college students, as well as instructors and Olympiad coaches, this text can be used for creative problem-solving courses, for professional teacher development seminars and workshops, for self-study, or as a resource for training for mathematical competitions.

-----

From a review of the first edition:

This book isb&much more than just another collection of interesting, challenging problems, but is instead organized specifically for learning. The book expertly weaves together related problems, so that insights gradually become techniques, tricks slowly become methods, and methods eventually evolve into masteryb&. The book is aimed at motivated high school and beginning college students and instructors. It 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. bThe Mathematical Gazette

Synopsis:

This signficantly revised and expanded second edition of 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 from numerous mathematical competitions and journals have been selected and updated. The problems are clustered by topic into self-contained sections with solutions provided separately. Historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on creative solutions to open-ended problems.

New to the second edition:

* Completely rewritten discussions precede each of the 30 units, adopting a more user-friendly style with more accessible and inviting examples

* Many new or expanded examples, problems, and solutions

* Additional references and reader suggestions have been incorporated

Featuring enhanced motivation for advanced high school and beginning college students, as well as instructors and Olympiad coaches, this text can be used for creative problem-solving courses, professional teacher development seminars and workshops, self-study, or as a training resource for mathematical competitions.

This book] isa ]much more than just another collection of interesting, challenging problems, but is instead organized specifically for learning. The book expertly weaves together related problems, so that insights gradually become techniques, tricks slowly become methods, and methods eventually evolve into masterya ]. The book isaimed at motivated high school and beginning college students and instructors...I strongly recommend this book for anyone interested in creative problem-solving in mathematicsa ]. It has already taken up a prized position in my personal library, and is bound to provide me with many hours of intellectual pleasure.

a The Mathematical Gazette (Review of the First Edition)

Synopsis:

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.

Synopsis:

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. 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.

Table of Contents

Foreword x Preface x PART I: Problems x 1. Geometry and Trigonometry x 2. Algebra and Analysis x 3. Number Theory and Combinatorics x PART II: Solutions x 1. Geometry and Trigonometry x 2. Algebra and Analysis x 3. Number Theory and Combinatorics x Appendix: Definitions and Notation

Product Details

ISBN:
9780817641559
Foreword:
Saul, Mark
Author:
Gelca, Razvan
Foreword:
Saul, Mark
Author:
Andreescu, Titu
Author:
Saul, Mark
Publisher:
Birkh User
Subject:
General
Subject:
Mathematics
Subject:
Algebra
Subject:
Geometry
Subject:
Number Theory
Subject:
Competitions
Subject:
General Mathematics
Subject:
Mathematics - General
Copyright:
Edition Number:
1
Edition Description:
2000. Corr. 2nd
Series:
Applications of Mathematics
Series Volume:
24
Publication Date:
January 2001
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
260
Dimensions:
9.24x6.15x.54 in. .86 lbs.

Related Subjects

Science and Mathematics » Mathematics » Games and Puzzles
Science and Mathematics » Mathematics » General

Mathematical Olympiad Challenges
0 stars - 0 reviews
$ In Stock
Product details 260 pages Birkhauser Boston - English 9780817641559 Reviews:
"Synopsis" by , This signficantly revised and expanded second edition of 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 from numerous mathematical competitions and journals have been selected and updated. The problems are clustered by topic into self-contained sections with solutions provided separately. Historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on creative solutions to open-ended problems.

New to the second edition:

* Completely rewritten discussions precede each of the 30 units, adopting a more user-friendly style with more accessible and inviting examples

* Many new or expanded examples, problems, and solutions

* Additional references and reader suggestions have been incorporated

Featuring enhanced motivation for advanced high school and beginning college students, as well as instructors and Olympiad coaches, this text can be used for creative problem-solving courses, professional teacher development seminars and workshops, self-study, or as a training resource for mathematical competitions.

This book] isa ]much more than just another collection of interesting, challenging problems, but is instead organized specifically for learning. The book expertly weaves together related problems, so that insights gradually become techniques, tricks slowly become methods, and methods eventually evolve into masterya ]. The book isaimed at motivated high school and beginning college students and instructors...I strongly recommend this book for anyone interested in creative problem-solving in mathematicsa ]. It has already taken up a prized position in my personal library, and is bound to provide me with many hours of intellectual pleasure.

a The Mathematical Gazette (Review of the First Edition)

"Synopsis" by , 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.
"Synopsis" by , 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. 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.
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