"Proof", the excellent play by David Auburn, was one of the best things in the New York stage in recent memory. Part of the attraction was the intelligent subject matter, math science, and how it connected the four characters one got to meet. The casting was an ideal one, Mary Louise Parker, Larry Briggman, Johanna Day and Ben Shenkman, playing Cahterine, Robert, Claire and Hal, respectively.

Mr. Auburn and Rebecca Miller, a movie director, herself, took the task of adapting "Proof" for the screen. The result, directed by John Madden, opens the play in cinematic terms, no small undertaking in presenting the movie to a wider audience who might not be interested in science, and much less in the advanced math that plays an important role in the proceedings.

If you haven't seen the film, please stop reading here.

Catherine, the 27 year old, at the center of the film, is a woman who has stayed behind to take care of her aging father, a man much esteemed in academic circles, who is suffering from, perhaps, a neurological illness that is killing him slowly. Catherine has, in a way, sacrificed her life in order to see that Robert spends his last days at home instead of at an institution.

The death of the father brings Claire home. This woman, who lives in New York, wants to get rid of everything connected with her father. She even has made plans for Catherine to move from Chicago to be near each other in New York, where things are much better. To complicate things, Harold, the nerdy math student, finds a hidden notebook that might contain a discovery that will revolutionize math. The only problem is the proof might not have been the dead man's own creation.

"Proof" works as a film because of Mr. Madden's direction. We are kept involved in what is going on because we have been won by Catherine, the wounded woman trying to live her life without having to tend to a sick man. Catherine love for math, in a way, makes her realize her place is in the same institution where her father made mathematical discoveries as she will be following his steps.

Gwyneth Paltrow makes an excellent Catherine, a role she had played on the London stage. Ms. Paltrow is a welcome presence in the movie because of the intelligence she projects when working with a good director like John Madden. In fact, it has been a while since we saw this actress in a film.

Hope Davis, another excellent actress, plays Claire, the materialistic sister who has arrived and who wants to transform the frumpy Catherine and mold her to her own taste. Ms. Davis has accustomed us to expect a valuable contribution to any film in which she plays. As Claire, she clearly understand who this character she is portraying really is.

Anthony Hopkins has only a few good moments on the screen. Jake Gyllenhaal's character Harold is not as effective as Ben Shenkman's was on the stage. In fact, Mr. Gyllenhaal, with his dark good looks, seems to be someone who would not be interested in math at all.

"Proof" is an immensely rewarding film thanks to what John Madden's vision.

Catherine Llewellyn (Gwyneth Paltrow) is struggling to deal with the death of her genius math professor father Robert (Anthony Hopkins). He deteriorated mentally in his last years which forced her to quit school and take care of him. His former student Hal (Jake Gyllenhaal) is working through a mountain of Robert's incoherent notebooks to find anything worth saving. Catherine's sister Claire (Hope Davis) arrives for the funeral and seeks to bring Catherine back to New York for treatment. When Hal discovers a notebook filled with a ground-breaking math proof, Catherine claims it to be written by her.

This is a compelling portrayal of the mathematical obsession. It's not as flashy or romantic as cinema tries to dress up math sometimes. It is a bit sad. Paltrow does great work following Hopkins. She shows that she's not simply a romantic lead. It's a compelling character study.

In Chicago, on the day of her twenty-seventh birthday, Catherine (Gwyneth Paltrow) receives her sister Claire (Hope Davis) from New York for the funeral of their father Robert (Anthony Hopkins),who passed away a couple of days before. Robert was a brilliant mathematician that became bughouse, and Catherine had taken care of him for the last five years, inclusive quitting her studies in the faculty, and she is concerned about the possibility of having inherited his insanity. The mathematician of the University of Chicago, Hal (Jake Gyllenhaal),is making a research in Robert's notebooks, trying to find any brilliant proof that Robert might have produced in one moment of lucidity. When Hal has one nightstand with Catherine, she gives a notebook to him with the development of a unique mathematics theory that Catherine claims that she developed. Hal and Claire do not believe on her, until the truth is disclosed.

I expected much more of "Proof" after watching its trailer. In spite of having good interpretations and direction, the story is very short and I felt the movie too long. The relationship between Catherine and her father is well explored, but the differences between Catherine and her sister are slightly approached and the screenplay could have contemplated much more about this rancorous relationship. My vote is six.

Title (Brazil): "A Prova" ("The Proof")