id: 05987659
dt: b
an: 2013f.00902
au: Xu, Jiagu
ti: Lecture notes on mathematical Olympiad courses. For senior section. Vol. 1
and 2.
so: Mathematical Olympiad Series 8. Hackensack, NJ: World Scientific (ISBN
978-981-4368-94-0/set; 978-981-4368-95-7/v.1; 978-981-4368-96-4/v.2).
xiv, 246~p./v.1; xiv, 282~p./v.2. (2012).
py: 2012
pu: Hackensack, NJ: World Scientific
la: EN
cc: U40
ut: Olympiad problems; trigonometry; geometry; analysis; equations;
inequalities
ci:
li:
ab: This nice two-volume collection of mathematical Olympiad problems is based
on the editorâ€™s lecture notes used for Olympiad training courses
offered at different schools in Singapore during the last fifteen
years. The materials are designed to help students to improve
mathematical skills and logical thinking required for analyzing and
solving nonstandard tasks. All problems in two volumes are organized
into thirty sections; there are also nine appendices with additional
information. Each section starts with a very concise explanation of
methods used for solving different classes of problems. Whenever
necessary, definitions and theoretical material are introduced. The
ideas and techniques are illustrated on a sufficient number of
examples, including Olympiad problems. At the end of each section, the
reader finds two groups of questions. Those in Part A are easier and
can be used for routine practice, whereas much more challenging
problems from real competitions are collected in Part B. Coming from
mathematical Olympiads in Australia, China, Columbia, Russia,
Singapore, USA, other Asian and European countries, these problems can
be used to test studentâ€™s problem-solving skills. Solutions to test
problems are provided in the final part of each volume, followed by a
useful index. It goes without saying that, in addition to harder
problems based on traditional teaching subjects, readers are also
introduced to a variety of notions, ideas and advanced techniques from
modern mathematics that are not included into standard school
curricula. The book is warmly recommended to school teachers searching
for original ideas and challenging problems, as well as to students
interested in improving their problem solving skills.
rv: Svitlana P. Rogovchenko (Kristiansand)