Exploring, Investigating and Discovering in Mathematics
(Sprache: Englisch)
This book offers creative problem solving techniques designed to develop and inspire inventive skills in students. It presents an array of selected elementary themes from arithmetic, algebra, geometry, analysis and applied mathematics. Includes solutions...
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Klappentext zu „Exploring, Investigating and Discovering in Mathematics “
This book offers creative problem solving techniques designed to develop and inspire inventive skills in students. It presents an array of selected elementary themes from arithmetic, algebra, geometry, analysis and applied mathematics. Includes solutions to over 100 problems and hints for over 150 further problems and exercises.
Inhaltsverzeichnis zu „Exploring, Investigating and Discovering in Mathematics “
24 Themes, some of them are:- Catching Problems
- Sequences of Numbers Simultaneously Prime
- The First Decimal of Some Sequences of Irrational Numbers
- Determinants with Alternative Entries
- Solving Some Cyclic Systems with the Fixed Point Theorem
- On a Property of Recurrent Affine Sequences
- An Extension to the Leibniz-Newton Formula
- How to Discover New Problems Using the Computer
- An Application of the Integral Mean
- Difference and Differential Equations
Bibliographische Angaben
- Autor: Vasile Berinde
- 2004, 246 Seiten, Maße: 24,4 cm, Kartoniert (TB), Englisch
- Verlag: Springer
- ISBN-10: 376437019X
- ISBN-13: 9783764370190
Sprache:
Englisch
Rezension zu „Exploring, Investigating and Discovering in Mathematics “
"In the spirit of George Polya's classic treatise How to Solve It: A New Aspect of Mathematical Method, this book is Vasile Berinde's attempt to 'algorithmetize' the creative process involved in problem-solving.... The author's stated goals are twofold. The most obvious aim is to provide methods for solving some difficult problems. But on a deeper level, he is trying to grow new research mathematicians by planting the seeds that will develop into the skills they will need to do original research.... Each of the 24 chapters begins with a source or starting problem and its solution. Then the fun begins! Remarks about the 'essence' of the problem and its solution suggest new directions to explore, and these investigations lead to generalizations and the formulation of related problems, sometimes building a 'factory' of new problems.From the first page I eagerly grabbed my pencil and a stack of scratch paper, and set to work as I happily read along.... I recommend the book for all lovers of mathematics, but especially students and teachers who participate in mathematics contests and practice problem solving."—MAA Online
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