For all waves (light waves included), when the initially stationary observer starts moving towards the wave source with speed v, the frequency he measures shifts from f=c/λ to f'=(c+v)/λ, where c is the speed of the waves relative to the stationary observer and λ is the wavelength. Given the formula
(measured frequency) = (speed of the waves relative to the observer)/(wavelength),
the shift in frequency entails that the speed of the waves relative to the observer has shifted from c to c'=c+v, a conclusion which, when applied to light waves, topples Einstein's relativity.
The only way to save Einstein's "theory" is to assume that the the motion of the observer miraculously changes the wavelength of the incoming light, even though this does not happen for any other type of wave. Einstein's relativity is saved if, as the observer starts moving towards the source with speed v, the wavelength of the light he is going to meet shifts from λ to λ'=cλ/(c+v).
This ad hoc wavelength shift assumption is similar to the ad hoc length contraction assumption of FitzGerald and Lorentz and is likewise idiotic. Clever Einsteinians know that and never discuss it - the crimestop surrounding the ad hoc wavelength shift assumption is almost absolute in Einstein schizophrenic world:
http://ebooks.adelaide.edu.au/o/orwell/george/o79n/chapter2.9.html
"Crimestop means the faculty of stopping short, as though by instinct, at the threshold of any dangerous thought. It includes the power of not grasping analogies, of failing to perceive logical errors, of misunderstanding the simplest arguments if they are inimical to Ingsoc, and of being bored or repelled by any train of thought which is capable of leading in a heretical direction. Crimestop, in short, means protective stupidity."
Still there is one exception. John Norton, perhaps the cleverest living Einsteinian, teaches the idiotic wavelength shift assumption with ease:
http://www.pitt.edu/~jdnorton/teaching/HPS_0410/chapters/big_bang_observed/index.html
John Norton: "Every sound or light wave has a particular frequency and wavelength. In sound, they determine the pitch; in light they determine the color. Here's a light wave and an observer. If the observer were to hurry towards the source of the light, the observer would now pass wavecrests more frequently than the resting observer. That would mean that moving observer would find the frequency of the light to have increased (and correspondingly for the wavelength - the distance between crests - to have decreased)."
Why is John Norton teaching the idiocy as if he believes it? Actually he both believes and does not believe it, like any subtle practitioner of doublethink:
http://ebooks.adelaide.edu.au/o/orwell/george/o79n/chapter2.9.html
"Doublethink means the power of holding two contradictory beliefs in one's mind simultaneously, and accepting both of them. The Party intellectual knows in which direction his memories must be altered; he therefore knows that he is playing tricks with reality; but by the exercise of doublethink he also satisfies himself that reality is not violated. The process has to be conscious, or it would not be carried out with sufficient precision, but it also has to be unconscious, or it would bring with it a feeling of falsity and hence of guilt. Doublethink lies at the very heart of Ingsoc, since the essential act of the Party is to use conscious deception while retaining the firmness of purpose that goes with complete honesty. To tell deliberate lies while genuinely believing in them, to forget any fact that has become inconvenient, and then, when it becomes necessary again, to draw it back from oblivion for just so long as it is needed, to deny the existence of objective reality and all the while to take account of the reality which one denies - all this is indispensably necessary. [...] It need hardly be said that the subtlest practitioners of doublethink are those who invented doublethink and know that it is a vast system of mental cheating. In our society, those who have the best knowledge of what is happening are also those who are furthest from seeing the world as it is. In general, the greater the understanding, the greater the delusion ; the more intelligent, the less sane."
Pentcho Valev