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Proof (2005 film)

Proof (2005 film) is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Proof (2005 film) rather than just read about it. In short: Proof is a 2005 American drama film directed by John Madden and starring Gwyneth Paltrow, Anthony Hopkins, Jake Gyllenhaal, and Hope Davis. The screenplay was written by Rebecca Miller (daughter of Arthur Miller) and David Auburn and based on Auburn's play, Proof.

Proof (2005 film) — main illustration
Proof (2005 film) — illustration

Key takeaways

  • Proof (2005 film) belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Proof (2005 film) to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Proof (2005 film) from memory before moving on to harder problems.

Reference excerpt

Proof is a 2005 American drama film directed by John Madden and starring Gwyneth Paltrow, Anthony Hopkins, Jake Gyllenhaal, and Hope Davis. The screenplay was written by Rebecca Miller (daughter of Arthur Miller) and David Auburn and based on Auburn's play, Proof.

Plot Robert, a brilliant mathematician who used to work at the University of Chicago, startles his daughter Catherine while she watches TV. He gives her a bottle of champagne for her birthday, and they chat. All of this turns out to be a dream; Robert died the previous week, after a long period of crippling mental illness, and his funeral is tomorrow. Meanwhile, Hal, a former graduate student of Robert's, is reading through the latter's notebooks, which are filled with meaningless notes. Hal believes that Robert's genius may have withstood his mental illness, and clues to that genius might lie in one of his notebooks. When Hal comments on the vast amount of work Robert did, a suspicious Catherine searches Hal's backpack. A notebook eventually falls out of his coat. He explains that he wanted to give the notebook as a birthday present because it "had something written in it about her". Hal is forced to leave, giving the notebook as intended, when Catherine calls the police. The next day, Catherine's sister, New Yorker Claire, arrives in town. At the funeral, Catherine berates the many attendees for not being there for Robert during his descent into insanity. She ends by saying that she is glad her father died and leaves mid-funeral. Claire decides to sell Robert's house back to the university and wants Catherine to come with her to New York. A wake held at the house the night is attended by academic mathematicians. Hal appears and chats up Catherine. Softening up to Hal, Catherine has emotional sex with him. In flashbacks, Robert is shown invigorated, believing that he has seen the beginnings of a new mathematical proof that will prove his triumph over mental illness. In the present, Catherine gives Hal a key to Robert's desk and tells him to check the locked drawer for a notebook which contains an important proof. Excited, he shows the discovery to Catherine and Claire. He asks how long Catherine knew about this and why she did not mention it. Catherine, a promising mathematician herself, says that she wrote it and not Robert, despite evidence to the contrary. Neither Hal nor Claire believe Catherine. Hal believes that the proof's mathematics are beyond Catherine, while Claire suspects that Catherine is suffering the onset of mental illness. Hal decides to take the notebook to the math department to verify the proof's accuracy. He eventually returns as Claire and Catherine are leaving, with news that the math department believes the proof to be valid. Hal does not think that Robert wrote the proof because it employs newer mathematics and wants Catherine to explain it. Catherine remains stung by his earlier lack of trust, and the sisters leave for the airport. Hal sprints after the car and throws the book through the window and onto Catherine's lap. In another flashback, it is revealed that, while living together, Robert challenged Catherine to work on math, which she does, ultimately completing a proof, which she describes in one of the house's notebooks. Catherine goes to tell Robert about the breakthrough, but he insists that she read aloud the proof that he is working on. To Catherine's disappointment, Robert's notebook contains only ramblings. Reading his work, Catherine realizes that Robert has not overcome his mental illness. Catherine has begun to come to terms with herself, aided by Hal's confidence in her. She decides that she does not need to go with her sister to New York and leaves the airport. She returns to the University of Chicago, where she and Hal meet up and discuss the proof.

Cast Gwyneth Paltrow as Catherine Llewellyn Anthony Hopkins as Robert Llewellyn, Catherine's widowed father Jake Gyllenhaal as Hal Dobbs, a former graduate student of Robert's Hope Davis as Claire Llewellyn, Catherine's older sister, a financial analyst Roshan Seth as Professor Bhandari

Production The film is based on the four-character stage play Proof. The film adds many bit parts for the sake of realism, and "opens up" the setting considerably. The role of Catherine was first played by Mary-Louise Parker in the play's 2000 Manhattan Theatre Club original production. Gwyneth Paltrow played Catherine in a London stage production before being cast in the film. Hopkins' character is a mathematics professor at the University of Chicago. Although scenes were filmed on the university's campus, the mathematics building itself (Eckhart Hall) was not used. Instead, scenes that were set in the math building were actually shot at the Divinity School. The scene with the professor's memorial service was shot in the university's Rockefeller Chapel. The film opens with a pan of Gwyneth Paltrow's character bicycling across the Midway Plaisance and shows scenes in the quadrangle before Harper Library.

Reception

Box office Proof opened at #35 in its opening weekend with $193,840 and went on to gross $7,535,331 in the US and $14,189,860 worldwide.

Critical reception Proof received generally positive reviews from film critics. Review aggregator Rotten Tomatoes gave the film a 62% rating, with an average rating of 6.4/10, based on 143 reviews. The consensus reads, "Gwyneth Paltrow and Anthony Hopkins give exceptional performances in a film that intelligently tackles the territory between madness and genius." Metacritic, which uses a weighted average, assigned the film a score of 64 out of 100, based on 37 critics, indicating "generally favorable" reviews.

Awards and nominations Gwyneth Paltrow received a Golden Globe Award nomination for Best Actress – Motion Picture Drama for Proof, but lost to Felicity Huffman for Transamerica. The film won the Georges Delerue Award for Best Soundtrack/Sound Design at Film Fest Gent in 2005.

… excerpt ends here. Continue reading the full article.

Worked examples

Example 1 — a first encounter with Proof (2005 film)

Start with the simplest possible case. Write down what Proof (2005 film) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Proof (2005 film) before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Proof (2005 film) ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Proof (2005 film)

In research
Proof (2005 film) appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Proof (2005 film) in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Proof (2005 film) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 2005 American films, 2005 British films, 2005 English-language films, so understanding it makes those chapters shorter.
In everyday life
Look for Proof (2005 film) outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Proof (2005 film) in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Proof (2005 film) means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Proof (2005 film) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Proof (2005 film) in simple terms?

Proof is a 2005 American drama film directed by John Madden and starring Gwyneth Paltrow, Anthony Hopkins, Jake Gyllenhaal, and Hope Davis. The screenplay was written by Rebecca Miller (daughter of Arthur Miller) and David Auburn and based on Auburn's play, Proof.

Why does Proof (2005 film) matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Proof (2005 film)?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Proof (2005 film).

Tags

  • 2005 American films
  • 2005 British films
  • 2005 English-language films
  • 2005 drama films
  • 2005 films
  • American drama films
  • American films based on plays
  • British drama films
  • Cultural depictions of mathematicians
  • English-language drama films
  • Films about depression
  • Films about grief

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