Titu Andreescu, Oleg Mushkarov, Luchezar Stoyanov

Geometric Problems on Maxima and Minima (eBook, PDF)

• Format: PDF

Produktbeschreibung

This carefully developed problem book takes a unique, intuitive approach to extreme value problems, treating them within the framework of Euclidean geometry. Included is a comprehensive selection of maxima and minima problems, from classical Greek constructions to modern, recently solved problems; detailed, step-by-step solutions to many of the exercises are provided. The reader is exposed to algebra, analysis, combinatorics, and topology, and throughout the text, emphasis is placed on creative techniques for problem solving. Reflecting the authors' experience as professors and Olympiad coaches, this volume is ideal for use at the junior and senior undergraduate level, as well as for enrichment programs and Olympiad training for advanced high school students. The book will also appeal to graduate students, professional mathematicians, and puzzle enthusiasts alike.

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Produktdetails

• Verlag: Birkhäuser Boston
• Seitenzahl: 264
• Erscheinungstermin: 31. Dezember 2007
• Englisch
• ISBN-13: 9780817644734
• Artikelnr.: 43730133

Autorenporträt

Titu Andreescu, The University of Texas at Dallas, Richardson, TX, USA / Oleg Mushkarov, Bulgarian Academy of Sciences, Sofia, Bulgaria / Luchezar Stoyanov, University of Western Australia, Crawley, Western Australia

Inhaltsangabe

From the contents:
Preface
- Methods for Solving Geometric Problems on Maxima and Minima
- Selected Types of Geometric Problems on Maxima and Minima
- Miscellaneous Problems
- Hints and Solutions
- Glossary

Rezensionen

From the reviews:

"As an avid problem solver with a strong interest in inequalities...I am delighted to supplement my repertoire with the techniques illustrated in this volume.... The book contains hundreds of problems, classical and modern, all with hints or complete solutions.... Over the years, Titu Andreescu and various collaborators have used their experiences as teachers and as Olympiad coaches to produce a series of excellent problem-solving manuals.... The present volume continues that tradition and should appeal to a wide audience ranging from advanced high school students to professional mathematicians." -- MAA

"The whole exposition of the book is kept at a sufficiently elementary level, so that it can be understood by high-school students. Apart from trying to be comprehensive in terms of types of problems and techniques for their solutions, the authors have tried to offer various different levels of difficulty making the book possible to use by people with different interests in mathematics, different abilities, and of different age groups." -- V. Oproiu, Analele Stiintifice

"This excellent book, Geometric problems on maxima and minima, deals not only with these famous problems, but well over a hundred other such problems, many of which were completely novel and new to me. ... This book will certainly greatly appeal to highschool students, mathematics teachers, professional mathematicians, and puzzle enthusiasts. I would regard it as absolutely essential reading for students preparing for mathematics competitions around the world." (Michael de Villiers, The Mathematical Gazette, Vol. 92 (525), 2008)