Solving mathematical problems a personal perspective ebook

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February 25, 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.

Get A Copy. Paperback , pages. More Details Original Title. Other Editions 6. Friend Reviews. To see what your friends thought of this book, please sign up. To ask other readers questions about Solving Mathematical Problems , please sign up. Be the first to ask a question about Solving Mathematical Problems. Lists with This Book. Community Reviews.

Showing Average rating 4. Rating details. More filters. Sort order. Dec 19, Murilo Andrade 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 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 I was quite disappointed after reading this book. There are no answers to the problems, but they are in general fairly easy. Main ideas I got from the book: 1. Strategies in problem solving A bit like How to solve it, from Polya. Heuristics to approach problems, with main ideas: Understand the problem Understand the data Understand the objective Select good notation Write down what you know, draw a diagram.

Modify the problem slightly and significantly Prove results Simplify, exploit data and reach tactical goals. Basically, you should do this using a low risk approach. Do not apply ideas blindly, but rather think ahead if it can attain the goal. Number Theory Try to relate the problem to things you know, e. Guess the answer e. Guess the easy options first, in order to save time.

Tao modifies the problems till one he can solve, following a logical path when taking decisions. Try small cases. Use the known facts you wrote down. Examples in algebra and analysis Always try to use tactics that get you closer to the objective, unless all available direct approaches have been exhausted - In this case go sideways or backwards! Use induction! Euclidean Geometry Draw a picture! Sundry examples Choose a good notation! Look for symmetries Von der Idee zum Beweis. Das Losen eines mathematischen Problems besteht aus zwei Teilen: 1.

Der erste Teil besteht darin, Ideen zu sammeln und zu versuchen, eine Losung zu finden. Der zweite Teil … Expand. Estalmat: una experiencia con cerillas. In this paper we show the results of an experience carried out in the fi eld of problem solving. The variety of strategies and plans we have followed are presen- ted, as well as, different … Expand. View 2 excerpts, cites background. Abstract A problem-solving capstone course for mathematics and mathematics education majors can help majors synthesize material learned in the major, create a basis for lifelong learning in the … Expand.

An Introduction to Modern Mathematical Computing. Concurrency of the altitudes of a triangle. Of all the traditional or Greek centers of a triangle, the orthocenter i. This may be due to … Expand. Using large scale data creatively: implications for instruction. In this article I use data from a large, national data base, the Australian Mathematics Competition, to explore the suitability of mathematics curriculum content for students with different … Expand.

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