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# Solving Mathematical Problems: A Personal Perspective

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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
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## Get A Copy

Paperback, 103 pages

Published
November 1st 2006
by Oxford University Press, USA
(first published 2006)

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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

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

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

Note: I did not work out the additional exercises provided in the book for a lack of time (and mathematical prowess)

Nov 19, 2019
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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
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“Mathematical problems, or puzzles, are important to real mathematics (like solving real-life problems), just as fables, stories and anecdotes are important to the young in understanding real life”
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