
The book takes up the story of contact from extra-terrestrials, but this is not the Independence Day or Encounters of the Third Kind kind of contact, this is more about the kind of contacts that scientists think will happen; through the twin model of mathematics (the only universal language in which people can communicate through), and through radio waves from outer space, which is what scientists are looking for through the SETI and other similar programs.
The book is about Eleanor "Ellie" Arroway, who is the director of "Project Argus," a project in a large number of radio telescopes in New Mexico have been dedicated to the search for extraterrestrial intelligence (SETI). Then suddenly, one day, they receive a signal that seems to confirm that there are indeed other intelligence sources in the galaxy. The signals contain a blueprint for building an advanced machine without disclosing what the machine will do. The design are in excess of current capabilities and require a huge effort.
Eventually, the machine is built, and it takes 5 passengers to the center of the Milky Way through a number of wormholes, where the passengers seemingly meet people who were part of their life such as close relatives (these are in fact the senders of the message who have taken this form). However, when the travelers return to earth, the journey of many hours seems to have been done in 20 minutes, video footage has been burned out, and they are faced with a skeptical Government machinery, suspected of fraud. The one possible ray of hope is mathematics, with a message encoded inside the further section of Pi.
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