Softcover ISBN:  9781470463823 
Product Code:  DOL/18 
List Price:  $35.00 
MAA Member Price:  $26.25 
AMS Member Price:  $26.25 
eBook ISBN:  9781614442202 
Product Code:  DOL/18.E 
List Price:  $35.00 
MAA Member Price:  $26.25 
AMS Member Price:  $26.25 
Softcover ISBN:  9781470463823 
eBook: ISBN:  9781614442202 
Product Code:  DOL/18.B 
List Price:  $70.00 $52.50 
MAA Member Price:  $52.50 $39.38 
AMS Member Price:  $52.50 $39.38 
Softcover ISBN:  9781470463823 
Product Code:  DOL/18 
List Price:  $35.00 
MAA Member Price:  $26.25 
AMS Member Price:  $26.25 
eBook ISBN:  9781614442202 
Product Code:  DOL/18.E 
List Price:  $35.00 
MAA Member Price:  $26.25 
AMS Member Price:  $26.25 
Softcover ISBN:  9781470463823 
eBook ISBN:  9781614442202 
Product Code:  DOL/18.B 
List Price:  $70.00 $52.50 
MAA Member Price:  $52.50 $39.38 
AMS Member Price:  $52.50 $39.38 

Book DetailsDolciani Mathematical ExpositionsVolume: 18; 1996; 235 pp
This collection will give students (high school or beyond), teachers, and university professors a chance to experience the pleasure of wrestling with some beautiful problems of elementary mathematics. Readers can compare their sleuthing talents with those of Sherlock Holmes, who made a bad mistake regarding the first problem in the collection: Determine the direction of travel of a bicycle that has left its tracks in a patch of mud.
Which Way did the Bicycle Go? contains a variety of other unusual and interesting problems in geometry, algebra, combinatorics, and number theory. For example, if a pizza is sliced into eight 45degree wedges meeting at a point other than the center of the pizza, and two people eat alternate wedges, will they get equal amounts of pizza? Or: What is the rightmost nonzero digit of the product \(1\cdot 2\cdot 3\cdots 1,000,000\)? Or: Is a manufacturer's claim that a certain unusual combination lock allows thousands of combinations justified? Complete solutions to the 191 problems are included along with problem variations and topics for investigation.

Table of Contents

Chapters

Chapter 1. Plane Geometry

Chapter 2. Number Theory

Chapter 3. Algebra

Chapter 4. Combinatorics and Graph Theory

Chapter 5. ThreeDimensional Geometry

Chapter 6. Miscellaneous

Solutions

Chapter 7. Plane Geometry

Chapter 8. Number Theory

Chapter 9. Algebra

Chapter 10. Combinatorics and Graph Theory

Chapter 11. ThreeDimensional Geometry

Chapter 12. Miscellaneous


Reviews

These problems have charm and character. Many have unexpected twists. I couldn't put the book down. The style of the book is informal. Many of the problems are phrased in a natural, nonmathematical way. ... The problems in “Which Way” were designed to appeal to undergraduate students, though they will also appeal to graduate students, high school students, and most any mathematician.
Daniel H. Ullman, The American Mathematical Monthly


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This collection will give students (high school or beyond), teachers, and university professors a chance to experience the pleasure of wrestling with some beautiful problems of elementary mathematics. Readers can compare their sleuthing talents with those of Sherlock Holmes, who made a bad mistake regarding the first problem in the collection: Determine the direction of travel of a bicycle that has left its tracks in a patch of mud.
Which Way did the Bicycle Go? contains a variety of other unusual and interesting problems in geometry, algebra, combinatorics, and number theory. For example, if a pizza is sliced into eight 45degree wedges meeting at a point other than the center of the pizza, and two people eat alternate wedges, will they get equal amounts of pizza? Or: What is the rightmost nonzero digit of the product \(1\cdot 2\cdot 3\cdots 1,000,000\)? Or: Is a manufacturer's claim that a certain unusual combination lock allows thousands of combinations justified? Complete solutions to the 191 problems are included along with problem variations and topics for investigation.

Chapters

Chapter 1. Plane Geometry

Chapter 2. Number Theory

Chapter 3. Algebra

Chapter 4. Combinatorics and Graph Theory

Chapter 5. ThreeDimensional Geometry

Chapter 6. Miscellaneous

Solutions

Chapter 7. Plane Geometry

Chapter 8. Number Theory

Chapter 9. Algebra

Chapter 10. Combinatorics and Graph Theory

Chapter 11. ThreeDimensional Geometry

Chapter 12. Miscellaneous

These problems have charm and character. Many have unexpected twists. I couldn't put the book down. The style of the book is informal. Many of the problems are phrased in a natural, nonmathematical way. ... The problems in “Which Way” were designed to appeal to undergraduate students, though they will also appeal to graduate students, high school students, and most any mathematician.
Daniel H. Ullman, The American Mathematical Monthly