Monty Hall Problem (solution)

If you are intrigued by the previous (amazing!!!) problem, find the solution right below:
http://www.youtube.com/watch?v=mhlc7peGlGg

Monty Hall Problem

Unusual, funny, famous and intriguing probability puzzle:

Suppose you're on a game show, and you're given the choice of 3 doors: behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice?

Cornelius - Star fruits surf rider

Do you know this musician from Japan?

http://www.youtube.com/watch?v=_s_30x_d5bo

Lyrics:

Machi wo aruiteta karui memai ga shita

Boku no atama no mawari hoshi ga hikatteta

STAR FRUITS SURF RIDER

Boku no soba ni iru neko ga boku wo miru

Neko no me no oku ni hoshi ga hikatteta

STAR FRUITS SURF RIDER

Umi no soba ni ita sukoshi samukatta

Hoshi ga sugokatta daremo inakatta

STAR FRUITS SURF RIDER

Lateral thinking 1

A man lives on the 10th. floor of a building. Every day, he takes the elevator to the 1st. floor to go to work or to go shopping. When he turns, he always takes the elevator to the 7th. floor and then walks the remaining flights of stairs to his apartment on the 10th. floor. Why does he do this?

Brain teaser 5

Imagine that you have 3 boxes, one containing 2 black marbles, one containing 2 white marbles, and the third, 1 black marble and 1 white marble. The boxes were labeled for their contents - BB, WW and BW - but someone has switched the labels so that every box is now incorrectly labeled. You are allowed to take one marble at a time out of any box, without looking inside, and by this process of sampling you are to determine the contents of all three boxes. What is the smallest number of drawings needed to do this?

Illusions 5 (solution)

It´s a cow!!! (Try to see its face)

Brain teaser 4 (solution)

Rowing and backstroke swimming.

Brain teaser 3 (solution)

It was his mother.

Brain teaser 2 (solution)

Each person gets one orange but one man also gets the box.

Legião Urbana - Hoje à noite não tem luar

Na verdade, é uma canção do Menudo, mas que foi gravada pelo Legião:
http://www.youtube.com/watch?v=OyixbMjxF8E
Outra versão muito inspirada é da Nina Lee Magalhães:
http://www.youtube.com/watch?v=8FTuSO-e5Ng

Lyrics:

Ela passou do meu lado

Oi, amor - eu lhe falei

Você está tão sozinha

Ela então sorriu pra mim

Foi assim que a conheci

Naquele dia junto ao mar

As ondas vinham beijar a praia

O sol brilhava de tanta emoção

Um rosto lindo, como o verão

E um beijo aconteceu

Nos encontramos à noite

Passeamos por aí

E, num lugar escondido,

Outro beijo lhe pedi

Lua de prata no céu,

O brilho das estrelas no chão

Tenho certeza que não sonhava

A noite linda continuava

E a voz tão doce que me falava

O mundo pertence a nós...

E hoje a noite não tem luar

E eu estou sem ela

Já não sei onde procurar

Não sei onde ela está

E hoje a noite não tem luar

E eu estou sem ela

Já não sei onde procurar

Onde está o meu amor.....

Marisa Monte - Diariamente (lyrics)

Brazilian singer:

http://www.youtube.com/watch?v=De2XmncutzA

Lyrics:

Para calar a boca: Rícino

Pra lavar a roupa: Omo

Para viagem longa: Jato

Para difíceis contas: Calculadora

Para o pneu na lona: Jacaré

Para a pantalona: Nesga

Para pular a onda: Litoral

Para lápis ter ponta: Apontador

Para o Pará e o Amazonas: Látex

Para parar na pamplona: Assis

Para trazer à tona: Homem Rã

Para a melhor azeitona: Ibéria

Para o presente da noiva: Marzipã

Para Adidas o Conga: Nacional

Para o outono a folha: Exclusão

Para embaixo da sombra: Guarda Sol

Para todas as coisas: Dicionário

Para que fiquem prontas: Paciência

Para dormir a fronha: Madrigal

Para brincar na gangorra: Dois

Para fazer uma toca: Bobs

Para beber uma coca: Drops

Para ferver uma sopa: Graus

Para a luz lá na roça: duzentos e vinte volts

Para vigias em ronda: Café

Para limpar a lousa: Apagador

Para o beijo da moça: Paladar

Para uma voz muito rouca: Hortelã

Para a cor roxa: Ataúde

Para a galocha: Verlon

Para ser moda: Melancia

Para abrir a rosa: Temporada

Para aumentar a vitrola: Sábado

Para a cama de mola: Hóspede

Para trancar bem a porta: Cadeado

Para que serve a calota: Volkswagen

Para quem não acorda: Balde

Para a letra torta: Pauta

Para parecer mais nova: Avon

Para os dias de prova: Amnésia

Pra estourar a pipoca: Barulho

Para quem se afoga: Isopor

Para levar na escola: Condução

Para os dias de folga: Namorado

Para o automóvel que capota: Guincho

Para fechar uma aposta: Paraninfo

Para quem se comporta: Brinde

Para a mulher que aborta: Repouso

Para saber a resposta: Vide o Verso

Para escolher a compota: Jundiaí

Para a menina que engorda: Hipofagi

Para a comida das orcas: Krill

Para o telefone que toca:

Para a água lá na poça

Para a mesa que vai ser posta

Para você o que você gosta: Diariamente

Anouk - Michel (lyrics)

Do you know this beautiful song from this Dutch singer?
http://www.youtube.com/watch?v=9wVZWDky6M4

Lyrics:

Hey Michel how's life are you ok

I wonder if you ever think of me

It's been 9 years since that kiss

I can help but reminisce

Hey Michel do you remember

We walked the street to the beat

Hand in hand you and me

Smiling faces so in love

Hoping that they all could see

That we belonged together you and me against the world

But we found out the hard way cause it wasn't meant to be

Now it's you and her I see

You were my first and worst love

And so it only could go wrong

But ain't that just the way you learn

Hey Michel I just wanted to let you know

That someone else has stolen my heart

And now another girl has caught your eye

That doesn't mean I don't think of you

I am just hoping that she'll treat you right

Do you remember

How we walked the street to the beat

Hand in hand and you and me

Smiling faces so in love

Hoping that they all could see

That we belonged together you and me against the world

But we found out the hard way cause it wasn't meant to be

Now it is you and her I see

It was just a silly dream

Hey Michel do you remember

The Pulp - The trees (lyrics)

Classic song from one of the best Brit bands:
http://www.youtube.com/watch?v=zvkiAw0ZIw4

Lyrics:

I took an air-rifle, shot a magpie to the ground & it died without a sound.

Your skin so pale against the fallen autumn leaves &

No-one saw us but the trees.

Yeah, the trees, those useless trees produce the air that I am breathing.

Yeah, the trees, those useless trees; they never said that you were leaving.

I carved your name with a heart just up above - now swollen,

Distorted, unrecognisable; like our love.

The smell of leaf mould & the sweetness of decay

Are the incense at the funeral procession here, today.

In the trees, those useless trees, etc.

You try to shape the world to what you want the world to be.

Carving your name a thousand times wont bring you back to me.

Oh no, no I might as well go & tell it to the trees.

Go & tell it to the trees, yeah.

Scott and Leon - You used to hold me (lyrics)

I used to listen to this song during the good times in Netherlands circa 2001:
http://www.youtube.com/watch?v=8Y1nkeuLl_Y

Lyrics:

I remember, I remember, I remember, ...

I remember when you said that you loved me everyway

You loved me once, you loved me twice

But my boy hasn´t it been so nice?

You used to hold me

You used to feel me

You used to kiss me

You used to touch me

You used to please me

You used to squeeze me

You used to love me

You used to touch me

Baby, baby, I miss you so much

When you hold me with love and touch

You got to know...............................

...........................................................

You used to hold me
You used to feel me
You used to kiss me
You used to touch me
You used to please me
You used to squeeze me
You used to love me
You used to touch me

Immigration Québec

Main-d'oeuvre qualifiée - Personnel demandé

Le Québec a un urgent besoin de main-d'oeuvre qualifiée dans plusieurs secteurs où la demande est très forte.
Le gouvernement lance donc une cinquième campagne pour promouvoir la formation professionnelle et technique auprès des jeunes.
Selon Emploi-Québec, il y aura 700 000 de ces postes à combler d'ici trois ans et 1,3 million d'ici 2016 en raison des départs à la retraite et d'une diminution du nombre de jeunes sur le marché du travail. Selon le ministre de l'Emploi et de la Solidarité sociale, Sam Hamad, 60 % de ces emplois nécessiteront un diplôme d'études collégiales.
La campagne vise donc à inciter les jeunes à s'inscrire à un programme de formation professionnelle ou technique. Elle compte aussi sur la participation des parents des adolescents qui s'apprêtent à faire un choix de carrière.
Québec a ciblé en tout 120 métiers pour sa campagne et pour lesquels les perspectives d'emplois sont très bonnes. Parmi les métiers où la demande est forte, on retrouve notamment:
- Infirmier autorisé/Infirmière autorisée (salaire annuel moyen à temps plein de 43 000 $)
- Technicien/technicienne de laboratoire médical (salaire annuel à temps plein de 37 000 $)
- Technicien/technicienne en génie civil (salaire annuel moyen à temps plein de 41 000 $)
- Éducateur/éducatrice et aide-éducateur/aide-éducatrice de la petite enfance (salaire annuel moyen à temps plein de 20 000 $)
- Plombier/plombière (salaire annuel moyen à temps plein de 39 000 $)
- Mécanicien/mécanicienne d'équipement lourd (salaire annuel moyen à temps plein de 39 000 $)

Sachez plus sur le marché du travail au Québec: http://www.emploiquebec.net/publications/pdf/00_imt_pp20062010.pdf

Brain Teaser 4

Name two Olympic events in which the winner crosses the finishing line facing backwards.

Illusions 5

Can you tell what this is a picture of?

Les Rita Mitsouko - Le petit train (lyrics)

Vous aimerez ce groupe français:
http://www.youtube.com/watch?v=SHEwFoo_KA0

Lyrics:

Le petit train s'en va dans la campagne
Va et vient poursuit son chemin
Serpentin de bois et de ferraille
Rouille et vert de gris sous la pluie

Il est beau quand le soleil l'enflamme
Au couchant à travers champs

Les chapeaux des paysannes
Ondulent sous le vent
Elles rient parfois jusqu'aux larmes
En rêvant à leurs amants

L'avoine est déjà germée, as-tu rentré le blé?
Cette année les vaches ont fait des hectolitres de lait

Petit train, où t'en vas-tu?
Train de la mort, mais que fais-tu?
Le referas-tu encore?
Personne ne sait ce qui s'y fait
Personne ne croit, il faut qu'il voie
Mais moi je suis quand même là

Le petit train dans la campagne
Et les enfants?
Les petit train dans la montagne
Les grands-parents
Petit train conduis-les aux flammes
À travers champs

Le petit train s'en va dans la campagne
Va et vient poursuit son chemin
Serpentin de bois, de ferraille
Marron et gris eous la pluie

Reverra-t-on une autre fois
Passer des trains comme autrefois?
C'est pas moi qui répondra
Personne ne sait ce qui s'y fait
Personne en croit, il faut qu'il voit
Mais moi je suis quand même là

Petit train où t'en vas-tu?
Train de la mort mais que fais-tu?
Le referas-tu encore?
Reverra-t-on une autre fois
Passer des trains comme celui-là?
C'est pas moi qui répondra

Brain teaser 3

Two Indians are walking through the forest. One Indian is the son of the other, but the other is not his father. Dare I say it: How???

Illusions 4 (solution)

Yes! All the horizontal lines are PERFECTLY horizontal. The same with the vertical. Check this out with a ruler!

Motorpsycho - The Slow Phaseout (lyrics)

I love this Norwegian band:

"Le parcours de Motorpsycho étant du pain béni pour toute introduction de chronique, je n'y résiste pas : l'histoire commence en octobre 1989 à Trondheim (côte ouest… norvégienne), s'étale sur une pléthore d'albums débordant d'énergie et d'outrances, entre heavy metal psychédélique et rock progressif ..."
http://www.youtube.com/watch?v=NRYAB11SNBw

Lyrics:

there's nothing I can do to begin to understand

I wouldn't dare to get near that quicksand

I'm watching your thrills from my home in the hills

to me it seems so bland

I look down from my mountain,

see lives passing by

on that four lane deep stir-fry

seeking sainthood, seeing human driftwood,

I feel like an alien spy

why do you do the things you do?

why do you do the things you do, you say...

there's no single reason, it just happened that way

now my mind is turning into clay

all of my days drift by in a daze

while I wish myself away

the blood on my hands will never fully dry,

I mislaid my alibi

the grail lost its sheen, now I just feel unclean

decomposing with a sigh

why do you do the things you do?

why do you do the things you do, you say...

withdraw to where I'm free from doubt

to simmer in this slow phaseout (beyond the point of caring)

to simmer in this slow phaseout (awoken from these dreams)

there's nothing I can do to begin to understand

I wouldn't dare to get near that quicksand

I'm watching your thrills from my home in the hills

to me it seems so bland

why do you do the things you do?

why do you do the things you do, you say...

withdraw to where I'm free from doubt

to simmer in this slow phaseout

why do you do the things you do

withdraw to where I'm free from doubt

to simmer in this slow phaseout

why do you do the things you do, you say...

Fractal 2

Brain teaser 2

There are eight oranges in a box. How can you divide them between eight people so that each person gets one orange, and one orange is still left in the box?
The oranges must not be peeled or cut.

Cocteau Twins - Carolyn's Fingers (lyrics)

My favourite from the Scottish Cocteau Twins:
http://www.youtube.com/watch?v=Qh83z5vIP0w

Lyrics:

When he said, you are full of love

She fell down into this dirty mess

Some people see me laugh and tell us,

it's wrong to make fun of me

(even they don't give any more)

(try, try to fall)

She fell down into this mess

(even then they don't give)

(try, try to fall)

She fell down and he's so sick of it all

And of me

This part not out of her saw fit to drop

Whispers might prove it all

(you're just closer to me when you fall, but you broke)

This would prove it all

(you just closer to me, but you broke)

This would prove it all

Sleep now

You susur, try to talk

Reach out for that hand

Reach out for that hand

(and even they don't give any more)

(try, try to fall)

Even then they don't give

(try, try to fall)

You just closer to me at the fall

But you don't want, want me hand

You're just closer to me

But you don't want, want my hand

Brain teaser 1 (solution)

We have to be careful what we are adding together. Originally, they paid £30, they each received back £1, thus they now have only paid £27. Of this £27, £25 went to the manager for the room and £2 went to the bellboy.

Imigração 1

Governo lança cartilha para orientar brasileiros que vão viver no exterior

A cartilha 'Brasileiros no Exterior, Informações Úteis' foi lançada nesta terça-feira (15/01/08), em Brasília, com o objetivo de orientar os brasileiros que pretendem emigrar para outros países. A informação é do MTE (Ministério do Trabalho e Emprego). A publicação, que tem 72 páginas e tem distribuição gratuita, alerta os emigrantes para os principais problemas que podem ocorrer na saída ou na volta ao Brasil, bem como na chegada ou na estada em outro país.

O acesso para o artigo completo é:
http://noticias.uol.com.br/ultnot/2008/01/15/ult23u946.jhtm
O acesso para a publicação completa é:
http://download.uol.com.br/ultnot/cartilha.pdf

Illusions 4

Are the lines horizontal and vertical?

Illusions 1 (solution)

You see a face or a eskimo!!!

10,000 Maniacs - Don't talk (lyrics)

One of my favourites, EVER:
http://www.youtube.com/watch?v=wK-9r9At2C4

Lyrics:

Don't talk, I will listen.

Don't talk, you keep your distance

for I'd rather hear some truth tonight than entertain your lies,

so take you poison silently.

Let me be. Let me close my eyes.

Don't talk, I'll believe it.

Don't talk, listen to me instead,

I know that if you think of it, both long enough and hard

the drink you drown your troubles in is the trouble you're in now.

Talk talk talk about it, if you talk as if you care

but when your talk is over tilt that bottle in the air,

tossing back more than your share.

Don't talk, I can guess it.

Don't talk, well now your restless

and you need somewhere to put the blame for how you feel inside.

You'll look for a close and easy mark and you'll see me as fair game.

Talk talk talk about it, talk as if you care

but when your talk is over tilt that bottle in the air

tossing back more than your share.

You talk talk talk about it, you talk as if you care.

I'm marking every word and can tell this time for sure,

your talk is the finest I have heard.

So don't talk, let me go on dreaming.

How your eyes they glow so fiercely I can tell your inspired

by the name you chose for me. Now what was it? O, never mind it.

We will talk talk talk about this when your head is clear.

I'll discuss this in the morning, but until then you may talk but I won't hear.

Illusions 3

Stare at the centre dot and the colours eventually disappear. Enjoy!

Illusions 2

Stare at the image for 60 seconds and then look at a white piece of paper for 10 seconds. You should see an interesting afterglow!

Saint Etienne - Nothing can stop us now (lyrics)

British dancing, groovy song:
http://www.youtube.com/watch?v=U50Uc3bbSCA

Lyrics:

[Annoucement sample:] "Thankyou, every - come on, give her a proper Liverpool hand, you can do better than that! And now ladies and gentlemen, what you've been waiting for:"

I've come a long way. /I've come a long, long way since the day you walked into my life. You walked into my life. / You smoothed out all the rough edges with your sweet love and devotion. I was tired, / in love like a fool. / I was tired of living the life of a fool, I was wondering where I'd gone wrong. But I know / it's gonna work out fine. / But I know it's gonna work out fine, when I see that look in your eyes. Yeah! /

I've never felt so good, / I've never felt so strong, / Nothing can stop us now! (no no, no no)
I've heard some people say. / Yeah, nothing can stop us now. I've heard people say that a man who needs a woman is weak, So wrong, oh so wrong. / but they're so wrong, because nobody can hide from love. Do, do you want to know? / Do you want to know, do you want to know something else that's true? It's true, it's true, the touch of your hand, oh. / Just the touch of your hand, and I know we can make it.

I've never felt so good, / I've never felt so strong, / Nothing can stop us now! / I've never felt so strong, / I've never felt so good, / Nothing can stop us now! (nothing! nothing!...)

Brain teaser 1

Three people check into a hotel. They pay £30 to the manager and go to their room. The manager suddenly remembers that the room rate is £25 and gives £5 to the bellboy to return to the people. On the way to the room the bellboy reasons that £5 would be difficult to share among three people so he pockets £2 and gives £1 to each person. Now each person paid £10 and got back £1. So they paid £9 each, totalling £27. The bellboy has £2, totalling £29. Where is the missing £1?

Fractal 1

Glasvegas - Daddy´s gone (lyrics)

Listen to this wonderful song by the Scottish band Glasvegas:
http://www.youtube.com/watch?v=3uSdQxKaBfU

Lyrics:

Oh oh, how you are my hero

Oh, oh, how you're never here though

Remember times when you put me on your shoulders

How I wish that it was forever you would hold us

Oh, oh, right now i'm too young to know

How in the future it will affect me when you go

Oh, oh, you could have had it all

You, me, and mum y'now

Anything was possible

I won't be the lonley one

Sitting on my own and sad

A fifty year old

Reminiscing what I had

I won't be the lonley one

Sitting on my own and sad

A fifty year old

Reminiscing what I had

Forget your dad, he's gone

Forget your dad, he's gone

All I wanted was a kick-a-bout in the park

For you to race me home when it was nearly getting dark

How I could've been yours, and you be mine

It could've been me and you until the end of time

Oh, do what you want, when you want

Be as fucking insincere as you can

What kind of way is that to treat your wife

To see your son on saturdays

What way is that to live your life?

I won't be the lonley one

Sitting on my own and sad

A fifty year old

Reminiscing what I had

I won't be the lonley one

Sitting on my own and sad

A fifty year old

Reminiscing what I had

Forget your dad, he's gone

Forget your dad, he's gone

Illusions 1 - What do you see?

My favourite Mathematics Olympiad books

Aí estão alguns dos livros interessantes que possuo. A maioria deles são direcionados para olimpíadas mas alguns também servem como base de estudo para os vestibulares do ITA (Instituto Tecnológico de Aeronáutica) e IME (Instituto Militar de Engenharia).

Se um dia eu fosse obrigado a ir pra uma ilha sozinho e tivesse que escolher apenas 1 livro, eu escolheria “Problemas de Matematicas Elementales” – Lidski y otros. Este livro é um clássico da extinta Editora MIR, da ex-URSS. Ele está em espanhol e possui questões muito interessantes que servem tanto para olimpíadas como para vestibulares do ITA/IME. Possui todas as resoluções muito bem explicadas. Felizmente uma tal de Editora VestSeller aqui mesmo do Brasil colocou-o à disposição para comprar pela internet. Os livros “Solving Problems in Geometry” – Gusev, Litvinenko e “Solving Problems in Algebra and Trigonometry” – Litvinenko, Mordkovich também podem ser comprados pelo site mas não se comparam ao do Lidski.

Em seguida, cito os livros que são obrigatórios na biblioteca de qualquer professor e aluno de olimpíada:
1 - “Problemas de Matematicas Elementales” – Lidski y otros
2 - “Geometry Revisited” – Coxeter e Greitzer
Sobre Geometria, é um clássico obrigatório, com teoria, demonstrações e exercícios.
3 - “Episodes in Nineteenth and Twentieth Century Euclidean Geometry” – Ross Honsberger
Também sobre Geometria, considero mais completo que o do Coxeter, com mais teoremas, mais figuras e melhor escrito.
4 - “The Art and Craft of Problem Solving” – Paul Zeitz
Abrange teoria e exercícios; inclui Teoria da Casa dos Pombos, Inequações, Teoria dos Números, Invariantes, Números Complexos, Combinatória entre muitos outros.
5 - “Winning Solutions” – Edward Lozansky
Teoria com muitos exercícios resolvidos. Congruência, Progressões, Equações Diofantinas, Polinômios, Funções Geradoras, Combinatória etc.
6 - “Mathematical Olympiad Challenges” – Titu Andreescu
Pouca teoria, com exercícios resolvidos, propostos incluindo resolução. Exercícios muito interessantes e diferentes do tradicional. Inclui um capítulo sobre resolução usando Física.
7 - “Problem-Solving Strategies” – Arthur Engel
Pouca teoria, com exercícios resolvidos e um zilhão de propostos, a maioria com resolução.
8 - “Mathematical Circles (Russian Experience)” – Dmitri Fomin
Possui teoria bem explicada e nível crescente de dificuldade, até aluno de ensino fundamental pode acompanhar. Vários exercícios com dicas ou soluções completas.
9 - “Mathematical Olympiad Treasures” – Titu Andreescu
Apresenta exercícios resolvidos de maneira interessante, muitos com resolução surpreendente. Propostos com resolução completa.
10 - “Five Hundred Mathematical Challenges” – Edward Barbeau
Como o nome já diz, são 500 exercícios propostos, com resolução. Exercícios bem diferentes do tradicional.
11 - “The Contest Problem Book” – vários
É uma série de uns 6 ou 7 livros, com exercícios apenas na forma de teste. São questões de um exame chamado AHSME (Annual High School Mathematics Examinations). Alguns testes têm o nível da prova do ITA/IME, aliás o ITA de vez em quando tira questões desses livros. O mais difícil de todos talvez seja o 4º. livro mas o 5º. também é muito bom.
12 - “The USSR Olympiad Problem Book” – Shklarsky e outros
Questões de alto nível das olimpíadas russas. Com resolução.
13 - “The IMO Compendium – 1959-2004” – Dusan Djukic, ...
É uma bíblia, com todas as questões das IMO de 1959 a 2004. O mais interessante é que o livro mostra várias questões que foram enviadas pelos países participantes mas que não foram selecionadas. Tem resolução de grande parte das questões. Este livro é obrigatório para aqueles que participam de olimpíadas internacionais.
14 - “Olimpíadas Brasileiras de Matemática 1ª. a 8ª.” – Élio Mega e Renate Watanabe
15 - “Olimpíadas Brasileiras de Matemática 9ª. a 16ª.” – Edmilson Motta e outros
16 - “Olimpíadas Cearenses de Matemática – ensino fundamental” – Emanuel Carneiro e outros
Dá pra comprar pela Editora VestSeller
17 - “Olimpíadas Cearenses de Matemática – ensino médio” – Emanuel Carneiro e outros
Dá pra comprar pela Editora VestSeller
18 - “10 Olimpíadas Iberoamericanas de Matemática” – Eduardo Wagner e outros
19 - “A Path to Combinatorics for Undergraduates” – Titu Andreescu
Excelente livro sobre Combinatória. Tem teoria e exercícios.
20 - “Olimpíadas de Matemática do Estado do Rio de Janeiro” – Eduardo Wagner

A seguir mais alguns interessantes mas que não são necessariamente de olimpíadas:

“A Mathematical Mosaic” – Ravi Vakil
Um ex-campeão olímpico é o autor. Ele mostra visões diferentes de um mesmo problema. É aquele livro do tipo que vale a pena ler e montar aquela aula interessante pra despertar interesse no aluno.
“Enigmas, Desafios, Paradoxos e outros Divertimentos Lógicos e Matemáticos” – Dimas Monteiro de Barros
Charadas matemáticas.
“É Divertido Resolver Problemas” – Luís Lopes
Testes e questões de raciocínio lógico. Vários de vestibular.
“Desafios” – Eduardo Veloso e José Paulo Viana
È uma série de 9 livros editados em Portugal e que apresenta uma série de problemas de raciocínio com resolução completa. Alguns são bem conhecidos do tipo: “Uma senhora tem 3 filhas cujo produto das idades é 36... A mais velha toca piano. Qual a idade delas?” Essa coleção é um dos meus xodós!
“Razão Áurea, a História de Fi, um número surpreendente” – Mario Livio
Livro que fala sobre a história da seqüência de Fibonacci. É fascinante!
Todos esses livros e muito mais eu fui adquirindo ao longo de 4 anos e meio dando aula. Os livros estrangeiros a maioria eu comprei pela amazon.com mas alguns eu encontrei na Livraria Cultura e Livraria Martins Fontes. Os nacionais são mais fáceis de achar, na própria Livraria Cultura, no site da Editora VestSeller ou através do pessoal da OBM (Olimpíada Brasileira de Matemática).