This is not a book about Einstein making math or science mistakes! (although he does some of that too) It's a book about genius and hubris, but also about aging and failure and how we deal with both. Failure can be enlightening or disabling, and sometimes both. Einstein and Copernicus faced similar failures, as they aged but handled those failures differently. They both isolated themselves, one by choice and the other by choice and circumstance (Einstein) and their isolation, their quiet times, probably freed their imaginations to take them to worlds unknown.
The Einstein author, Bodanis, makes difficult concepts more understandable. My favorite Bodanis analogy or is that a metaphor describes concepts of mass and energy as cities: The M city and E city, and the genius of Einstein was understanding that these were not separate concepts, not separate realities. Einstein figured out how to find that invisible tunnel between the cities to explain (along with the speed of light) their relationship, relationships. (E=Mc2). Bodanis also explains Einstein's view of the world which he found through a book written by Edwin Abbott in 1884, called A.Square (a one dimensional hero, 11 inches long, who lives on a sheet of paper). Abbott writes about this one-two dimensional world of lines, called Flatland, which suddenly receives a visitor from the 3rd dimension! The visitor "lifted" Mr. A. Square into Spaceland and he saw an entirely new world. But on returning to Flatland though no one believes him and this new world. Mr. A. Square's life didn't end well ... the authorities, afraid of rebellion, put Mr. A. Square in prison, but he continued to hope that "humanity .. may stir up a race of rebels who shall refuse to be confined to limited Dimensionality." Bodanis makes the point that other physicists/scientists would have come up with E=mc2 but ... his theory of relativity (the rock in a trampoline metaphor with equation G=T, Geometry guides Things) in 1915 was completely Einstein's own and was a watershed in the history of physics. (p74-77)
Einstein conducted "thought experiments" which led to his most imaginative discoveries. Bodanis sees this as Einstein's idea of "observational democracy": the belief that "just as no one automatically deserves superior rights in life, so no one observer can say that their vantage point in viewing some event is automatically superior to that of everyone else." (p87)
The world came to know Einstein mostly because he happened to be in the right place at the right time. His general relativity work became generally known in 1919, just at the end of WWI. People in both Germany and England were happy to move toward more cooperation and less antagonism between their countries. It didn't hurt either that a sports reporter from NY Times generated a whole lot of publicity for Einstein, although the reporter got the science all wrong. Einstein's personality was also very appealing. Unlike some of his fellow scientists, Einstein was quiet, thoughtful, badly dressed and carried a violin case.
But his ideas that made time travel seem a possibility was probably another reason that popularity exploded. Einstein's ideas were being spread about just at the end of WWI and many people were suffering from the loss of so many friends and families, and the idea that .. maybe ... someday ... possibly ... I can meet up with that loved one was a powerful one, even if most people understood the fantasy of that possibility. But with Einstein's ideas or the distortion of his science people thought they glimpsed a deeper reality. As William Blake said, "I see Past, Present, Future, existing all at once/Before me." (p 110-111)
Einstein's biggest mistake ! or his first biggest mistake was bowing to the ideas of or data of astronomers and changing his beautiful perfect G=T equation. He was unhappy and uncomfortable with making that change right from the beginning (in 1917) but astronomers had assured him that all the stars moved not at all or very slowly among one another and so his original G=T theory couldn't be right, couldn't work so he put in that extra lambda to reconcile his theory to the astronomers findings. But he always felt that this was "gravely detrimental to the formal beauty of the theory."Einstein didn't believe that any deity or force of nature would have created a universe with that kind of "correction." He compared this lambda insertion to playing in a string quartet (which he loved to do) and having someone drag in a large tuba and randomly blast out a noise. That's what he thought happened with changing G=T to G-lambda=T. (p 118) But the astonomers were uniequivocal in their beliefs. They insisted that the universe was not expanding that there was just infinite blackness out there ... so Einstein caved to that "experimental evidence." This was his first great mistake! Despite his hesitation and forebodings, Einstein reworked his beautiful, simple equation, and "now he was stuck. His reputation was at stake ..." and his pride too. "He had done this to himself ... and couldn't admit that he'd been weak - and wrong" to kowtow to others' ideas. (p130)
Rescued by an unlikely man ! Edwin Powell Hubble who's name is synonomous with astronomy. He was director of California's Mount Wilson observatory, who found galaxies out there, way out there, and by various means determined that those galaxies were spinning out and away at a very rapid pace. Therefore ... no need for his Lamda! Hubble is an interesting guy in his own right, a Walter Mitty type who made up much of his life and loved glory but he did give credit to the men (Humason and Father Lemaire) who along with him were responsible for re-establishing Einstein's pure and perfect G=T theory.
Unfortunately, the lesson learned by Einstein was to hold to his own ideas and theories, regardless of what others were finding by thought or experiment. And when a guy by the name of Heisenberg developed the uncertainty principle, and the birth of quantum mechanics (world of the very very small), Einstein disagreed strongly with him (and others). Einstein said, famously, God does not play dice with the universe. He felt that ... somewhere, somehow ... an explanation for "uncertainties" would eventually be found. If not him, someone; if not now, someday. But the evidence for uncertainty grew and grew, but Einstein held to his own opinion which was strengthed by his experience of adding "lamda" to his perfect, pure G=T theory. They were wrong then (those experimenters) and they could well be wrong now ... and he was not going to fall for the same trick twice.
As age pressed in on Einstein, so did his isolation at Princeton from his fellow scientists. He became even more stubbord and less inclined to accept the now acceptable uncertainty principle. He became the Einstein we know so well ... the old guy, shuffling from building to home at Princeton, his hands behind his back. A well beloved man and still towering figure in the science world. But he was lonely, and the loneliness increased as his family died ... first his second wife (and first wife), and then his faithful and loving sister.
I kind of agree with Einstein ... just the name "uncertainty" with principle cries out for discovery. I'm betting there is some kind of explanation .... and it may take 100-500-1000 years, but someone will work it out!