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# How to Think Like a Mathematician

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Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions,
...more

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Paperback, 265 pages

Published
February 1st 2009
by Cambridge University Press

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*simplicity is the ultimate sophistication .

* If it isn't hurting , then it isn't working .

*Be scaptical of everything and try to prove that the text is wrong , search for hidden assumptions and try to use extreme cases and examples .

*Learn as much by writing as by reading .

*It isn't that they can't see the solution , It is that they can't see the problem .

*Everything is simpler that you think and at the same time more complex that you imagine .

*The highes ...more

Besser noch: Was hat dieses Buch getan?

Also zunächst einmal hat es mit einigen grundlegenden Begriffen und Symbolen aufgeräumt. Langsam aber stetig wird man näher an die komplizierten Kernstücke der Mathematik heran geführt. Und dabei bekommt man wieder und wieder Methoden vorgestellt, wie man mit diesen Teilen arbeiten kann, wie man damit denken kann, und wie man denken sollte, um die Mathematik zu ergründen und für sich zu erobern.

Ich finde, es ist in der Tat e ...more

It provides good study advice too if you're just trying to do well in math, if that convinces you further.

**Good book for the confused**

The book is good enough for college students to get hang of how to think in mathematics, especially proofs & statements. Ample examples & no assumption by the author that only experienced math students will read it. ...more

Beyond chapter 1 which gives a thorough overview of sets theory and brief introductions to maps and functions. Chapter's 2 and 3 are concerned with ...more

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“Question everything – Be sceptical of all results presented to you. Don’t accept them until you are sure you believe them.”
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“Develop your intuition – But don’t trust it completely.”
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