Explain this
Solving Mathematical Problems: A Personal Perspective
How the publisher describes it:
“Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the various tactics involved in solving mathematical problems at the Mathematical Olympiad level. Covering number theory, algebra, analysis, Euclidean geometry, and analytic geometry, Solving Mathematical Problems includes numerous exercises and model solutions throughout. Assuming only a basic level of mathematics, the text is ideal for students of 14 years and above in pure mathematics.”
Review by Peter Hall
In brief:
So who is the book for? It would make worthy reading for gifted and talented sixth form students, or those about to study mathematics at an undergraduate level. Some of the problems could easily be adapted to a younger audience by a careful teacher.
“The ideas may not be revolutionary but they are clearly expressed”
This is an advanced text offering valuable insights into complex problems. The problems are based in number theory, in algebra and analysis and in Euclidean and analytic geometry.
The book opens with some general strategies for solving problems - and this chapter alone makes the book well worth reading. The ideas may not be revolutionary but they are clearly expressed. The ideas are explained in practical terms.
The number theory problems range from “show that among any 18 consecutive three-digit numbers there is at least one which is divisible by the sum of its digits” to Diophantine equations.
Where possible the source of the questions is referenced to enable the reader to find more questions for themselves. These sources range from the Australian Mathematics Competition, the International Mathematical Olympiads, the Hungrarian problem from the Eötvös Competitions to name but a few.
So who is the book for? It would make worthy reading for gifted and talented sixth form students, or those about to study mathematics at an undergraduate level. Some of the problems could easily be adapted to a younger audience by a careful teacher.
Peter Hall • AST Mathematics, Imberhorne School, East Grinstead
Paperback: 128 pages
Publisher: OUP Oxford; New edition edition (27 July 2006)
Language English
ISBN-10: 0199205604
ISBN-13: 978-0199205608
Product Dimensions: 22.8 x 15.2 x 1.2 cm
