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Solving Mathematical Problems: A Personal Perspective

4.07  ·  Rating details ·  153 ratings  ·  7 reviews
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 thro ...more
Paperback, 103 pages
Published November 1st 2006 by Oxford University Press, USA (first published 2006)
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Murilo Andrade
Dec 19, 2014 rated it liked it
Shelves: math
I was quite disappointed after reading this book. There is not much to learn from it, as it has been written by Tao in his (mathematical) youth, and by that time he didn't have a solid writing style yet.

Very easy to read, probably in one day you can finish it. Around 100 pages, it contains only a few chapters on main olympiad topics. After each solved problem Tao proposes a few related (or not) ones to repeat the technique suggested. There are no answers to the problems, but they are in general
...more
Paulo Glez Ogando
Mar 10, 2014 rated it really liked it
Terence Tao is one of the most famous and early mathematicians nowadays. He was the younger medal-winner in the IMO (International Mathematical Olympiad), he won medals in three consecutive years, finally achieving the gold prize.

In this book Tao aims to show the reader various tactics involved in solving mathematical problems at the IMO level, for which he assumes a basic level of mathematics, trying to avoid difficult or less known results or theorems.

A book much more famous in solving problem
...more
Fri
Aug 24, 2019 added it
Shelves: problem-solving
Understand the problem. What kind of problem is it? There are three
main types of problems:
• ‘Show that . . .’ or ‘Evaluate . . .’ questions, in which a certain statement
has to be proved true, or a certain expression has to be worked out;
• ‘Find a . . .’ or ‘Find all . . .’ questions, which requires one to find something
(or everything) that satisfies certain requirements;
• ‘Is there a . . .’ questions, which either require you to prove a statement
or provide a counterexample (and thus is one of th
...more
DoeJoe
Feb 17, 2020 rated it liked it
Tao's elucidations on how to approach mathematical problems contain valuable ideas and make puzzling over the solutions to the examples discussed in the book an entertaining pastime while also being (mostly) understandable even for readers not too familiar with mathematics.

Note: I did not work out the additional exercises provided in the book for a lack of time (and mathematical prowess)
Wojciech Czernous
Abandoned this subject.
Curtis Penner
Oct 17, 2017 rated it really liked it
Was about Terence Tao's approach to mathematical games.
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Terence "Terry" Tao FAA FRS (simplified Chinese: 陶哲轩; traditional Chinese: 陶哲軒; pinyin: Táo Zhéxuān) is an Australian-American mathematician who has worked in various areas of mathematics. He currently focuses on harmonic analysis, partial differential equations, algebraic combinatorics, arithmetic combinatorics, geometric combinatorics, compressed sensing and analytic number theory. As of 2015, h ...more

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