John and Alicia Nash were killed in a car accident on May 23, 2015, when the driver of a taxi they were riding in lost control of the car and collided with a guard rail and a second car on the New Jersey Turnpike. The New York Times said that although the two drivers suffered only minor injures, the Nashes were "ejected from the cab and pronounced dead at the scene." John was 86 and Alicia was 82.
约翰·纳什 visited the set, and 罗素·克劳 said later that he had been fascinated by the way he moved his hands, and he had tried to do the same thing in the movie. He thought it would help him get into the character.
Nash's mutterings after he loses the board game (along the lines of "the game is flawed," "I had the first move, I should have won") are in reference to "Game Theory," the economic theory that 约翰·纳什 is probably most famous for.
The Riemann Hypothesis mentioned throughout the movie is a real and famous problem in mathematics that has gone unsolved (it has not been proved yet) for nearly 150 years. Many other important theories have been proved on the condition that the Riemann Hypothesis holds, hence its importance. In the year 2000, the Clay Mathematics Institute of Cambridge, Massachusetts listed the Riemann Hypothesis as one of seven "Millennium Prize Problems" and offered a $1,000,000 reward to the person that proves it.
The scene towards the end of the film, where John Nash contemplates drinking tea, is based on a true event when 罗素·克劳 met the real 约翰·纳什. He spent fifteen minutes contemplating whether to drink tea or coffee.
John Nash attended the Carnegie Institute of Technology on a full scholarship. One of his professors was so impressed with him that he wrote him a letter of recommendation for Princeton that contained only one line; "This man is a genius."
Professor Peyton Young was interviewed on the BBC radio programme "More or Less". He had dinner with John and Alicia Nash the night the movie opened and asked John Nash what he thought of it. He said "I liked it a lot. But it wasn't me."
To create the "golden" look of the campus scenes early in the film, the filmmakers took a low-contrast stock (Fuji F-400 8582) and exposed it to an orange light before loading it into the camera for shooting.
After coming up with the idea for his revolutionary paper, 约翰·纳什 goes and shows a manuscript of it to Helinger (Judd Hirsch). The manuscript is an actual copy of the original article, published in the specialized journal "Econometrica," under the title "The Bargaining Problem." (Figure 1 of the original paper, appears in the manuscript shown in the movie).
During filming, 朗·霍华德 decided that Nash's delusions should always be introduced first audibly and then visually. This provides a clue for the audience and establishes the delusions from Nash's point of view. In real life, Nash's delusions were only ever auditory, he has said he never suffered from visual delusions. This change was likely made for a cinematic approach.
约翰·纳什 is the co-inventor (independently from the Danish mathematician Piet Hein) of the strategy game Hex. This was caused by his frustration after he was defeated at Go, and he wanted to create a "perfect" game. The scenes where he does that were shot but then deleted from the final cut, and can be found in the DVD extras or online.
According to a 2001 Entertainment Weekly article on this film, the filmmakers originally wanted to mention 约翰·纳什's homosexuality, but they feared the film would make the wrong connection between homosexuality and schizophrenia, so they abandoned it. This connection, according to the article, was based on several now-discredited psychological studies that first appeared in the late 1950s.
格雷格·卡农 was chosen to create the makeup effects, specifically the age progression of the characters. 罗素·克劳 had previously worked with Cannom on 惊曝内幕 (1999) and 朗·霍华德 had worked with him on 魔茧 (1985). Each character's stages of makeup were broken down by the number of years that would pass between levels. Cannom stressed subtlety between the stages, but worked toward the ultimate stage of "Older Nash". The production team originally decided that the makeup department would age Russell Crowe throughout the film; however, at Crowe's request, the makeup was used to push his look to resemble the facial features of John Nash. Cannom developed a new silicone-type makeup that could simulate skin and be used for overlapping applications; this shortened make-up application time from eight to four hours. Crowe was also fitted with a number of dentures to give him a slight overbite in the film.
The problem that 约翰·纳什 writes on the blackboard in his lecture is a real one (unlike in other movies, where math on boards is usually either too simple or fake). There is an important theorem in mathematical physics that directly says the answer to this is 1. Later, when he discusses the problem with Alicia Nash, he makes additional restrictions for the solution, without which the problem is much harder, so he is pretty confident she didn't solve it.
The filmmakers developed a technique to represent Nash's mental epiphanies. Mathematicians described to them such moments as a sense of "the smoke clearing", "flashes of light" and "everything coming together", so the filmmakers used a flash of light appearing over an object or person to signify Nash's creativity at work.
An earlier trivia item describes John Nash as an anti-smoker. The movie is indeed accurate. He took up smoking in the '70s. This is mentioned early on in Chapter 45 of the book on which the movie is based.
Three people closely associated with the movie unexpectedly passed away in vehicle accidents in 2015, all within one month. 约翰·纳什 and Alicia Nash died together in a traffic accident on May 23; composer 詹姆斯·霍纳 died in a plane crash on June 22.
The Nobel Prize ceremony was filmed in Prudential Hall at the New Jersey Performing Arts Center (NJPAC) in Newark, NJ. The filming for that one scene, including set up, make up, etc, took over 8 hours. However, the scene in the lobby afterwards was filmed at another location.
After producer 布莱恩·格雷泽 first read an excerpt of Sylvia Nasar's book A Beautiful Mind in Vanity Fair magazine, he immediately purchased the rights to the film. He eventually brought the project to 朗·霍华德, who had scheduling conflicts and was forced to pass. Grazer later said that many A-list directors were calling with their point of view on the project. He eventually focused on a particular director, who coincidentally was available only when Howard was also available. Grazer chose Howard.
Dave Bayer, a professor of Mathematics at Barnard College, Columbia University, was consulted on the mathematical equations that appear in the film. Bayer later said that he approached his consulting role as an actor when preparing equations, such as when Nash is forced to teach a calculus class, and arbitrarily places a complicated problem on the blackboard. Bayer focused on a character who did not want to teach ordinary details and was more concerned with what was interesting. Bayer received a cameo role in the film as a professor who lays his pen down for Nash in the pen ceremony near the end of the film.
Screenwriter 阿齐瓦·高斯曼 had plenty of personal experience to draw on in developing the story; he had previously worked as a child care counselor and had developed a method for training mental health workers, and had also grown up in a house where his parents had established a group home for emotionally disturbed children.
A running discussion between 朗·霍华德 and 詹姆斯·霍纳 was the concept of high-level mathematics being less about numbers and solutions, and more akin to a kaleidoscope, in that the ideas evolve and change. After the first screening of the film, Horner told Howard: "I see changes occurring like fast-moving weather systems." He chose it as another theme to connect to Nash's ever-changing character.
The Pentagon office scene was filmed in the basement of Keating Hall on Fordham University's Bronx campus (the same room was used in the filming of the Georgetown University language lab scene in The Exorcist (1973)).
For his performance, 罗素·克劳 won Best Actor at all the major precursor awards (Golden Globes, Screen Actors Guild, Critics Choice and BAFTA) but lost the Academy Award to 丹泽尔·华盛顿 for his performance in 训练日 (2001).
For the third successive year, 罗素·克劳 was nominated for the Best Actor Oscar for his performance in a film which was also nominated for Best Picture, after 惊曝内幕 (1999) and 角斗士 (2000). He won Best Actor for Gladiator, while that film and this both won Best Picture.
詹姆斯·霍纳 chose 夏洛特·丘奇 to sing the soprano vocals after deciding that he needed a balance between a child and adult singing voice. He wanted a "purity, clarity and brightness of an instrument" but also a vibrato to maintain the humanity of the voice.
The scene where Nash is sitting on the lawn talking to the students was filmed at the Bronx Community College campus (formerly NYU University Heights). If you look in the background you can see the Gould Memorial Library and behind that you can see the busts in the Hall of Fame of Great Americans.
阿齐瓦·高斯曼 was inspired to write the screenplay after stumbling across a Vanity Fair article on 约翰·纳什. Intrigued, he started delving further into the man's history. Goldman is uniquely qualified to tackle such a subject as both of his parents were psychologists.
The scene where Russell Crowe and Jennifer Connelly are at a fancy party was filmed at the NJ University - Fairleigh Dickinson University. The campus, located in Madison NJ is a historical landmark - being the summer home of the Vanderbilt family.
In 1954, Harper's Bazaar published the story The Jet-Propelled Couch, by psychologist Robert M. Lindner, which tells in two parts the story of "Kirk Allen", his patient and also an important scientist who worked for the government. The true identity of "Kirk Allen" has been debated, because the story contains similarities to the character described in Sylvia Nasar's book, adapted for the cinema by Akiva Goldsman in the film directed by Ron Howard, A Beautiful Mind. The story is in the book The Fifty Minute Hour (1955), written by Lindner, in which he describes several case studies of his clinical practice.
詹妮弗·康纳利 and 乔什·卢卡斯 later appeared together in 绿巨人浩克 (2003), while 保罗·贝坦尼 appeared opposite the Hulk character in 复仇者联盟 (2012) and its sequels. Director 朗·霍华德 appeared in the original film 选妻记 (1963), which was later turned into the television series starring 比尔·贝克比 and Brandon Cruz (in Howard's role). Bixby and Cruz both later appeared on The Incredible Hulk (1977). Bixby's role was originally played by 格伦·福特, who played Clark Kent's father in 超人 (1978). 罗素·克劳 later played Superman's natural father in 超人：钢铁之躯 (2013).
布莱丝·达拉斯: The director's daughter and actress Bryce Dallas Howard appears midway through the movie, after the math lecture when 约翰·纳什 (罗素·克劳) is sedated by Dr. Rosen (克里斯托弗·普卢默), looking into the car as it drives away.
While this film is inspired by the life of 约翰·纳什, there were elements from his life that were deliberately omitted: 1) he was married twice, both to the same woman (Alicia Nash); 2) in the past, he had several affairs with both men and women; 3) he was arrested by the police by scandal; 4) He fathered a child out-of-wedlock in his twenties; 5) he believed that through his mental illness the extra-terrestrials spoke him, giving his advanced knowledge by means of cosmic connection with them; 6) he tried to renounce to his American nationality some times, in the belief that the USA government pursued him; and 7) he made numerous anti-Semitic comments during his period of extreme mental illness, most of which equated Jews with world Communism.
John Nash wasn't taking medication when he won the Nobel. When he is speaking to the man about whether or not he will embarrass himself at the award ceremony he mentions he is taking new medication but in fact he stopped taking his meds and was using pure mind over matter to handle his disease. The screen writers mother was a psychiatrist and mentioned that it might promote others with mental illness to stop taking their medications so that's why Nash says that in the movie.