She's my Ebony and Ivory!. English Novel

Mathematicians invent the ever-existing world and describe it as something compact on the basis of the formulas. Engineers just approach the laws and try to put them into practice, with simplified equations that approximate by exchanging some precision for more practicality - following the 'approach' is 'just enough' that brings us to Mars. In the north, people meet mentally, if at all. If there is one among them who gets dirty, no one helped.
But to tell a fantastic story needed a good mind. That's the way a single woman went to a new homeland. She fought to keep her ideals. She trusted her heart, to understand what goes up, and what comes down. But there was no way to come back.