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Problem-Solving Through Problems (Softcover)
"This is a practical anthology of some of the best elementary problems in different branches of mathematics. They are selected for their aesthetic appeal as well as their instructional value, and are organized to highlight the most common problem-solving techniques encountered in undergraduate mathematics." — From the back cover
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VERY GOOD: This book is in very good condition, showing only slight signs of use and wear. It was printed on acid-free paper.
This book belongs to Springer’s Problem Books in Mathematics series.
Continued from the back cover: “Readers learn important principles and broad strategies for coping with the experience of solving problems, while tackling specific cases on their own. The material is classroom tested and has been found particularly helpful for students preparing for the Putnam exam. For easy reference, the problems are arranged by subject.”
- Two Important Principles: Induction and Pigeonhole
- Summation of Series
- Intermediate Real Analysis
In the Preface, the author writes, “The methods and problems feature in this book are drawn from my experience of solving problems at this level. Each new issue of The American Mathematical Monthly (and other undergraduate journals) contains material that would be just right for inclusion. Because these ideas continue to find new expressions, the reader should regard this collection as a starter set and should be encouraged to create a personal file of problems and solutions to extend this beginning in both breadth and depth. Obviously, we can never hope to develop a ‘system’ for problem-solving; however, the acquiring of ideas is a valuable experience at all stages of development.”
- Larson, Loren C.
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