By Andrew Liddle
A concise, obtainable creation to this interesting and dynamic subject.* Adopts an method grounded in physics instead of mathematics.* contains labored examples and scholar difficulties, in addition to tricks for fixing them and the numerical answers.* Many reviewers have commented that this can be the most effective 'introductory undergraduate point' texts at the topic and they'd all welcome a moment version.
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Additional resources for An Introduction to Modern Cosmology
The circumference of a circle is less than 27rr. 1 Well, that's almost true. 3 for a way to bypass that conclusion. 2 Note that, apart from the equator, lines of latitude are not straight lines; this is why aeroplanes do not follow lines of latitude when flying, because they are not the shortest way to go! 2. 1 A sketch of a spherical surface, representing positive k. A triangle is shown which has three right angles! If you make the triangles or circles much smaller than the size of the Earth, then the Euclidean laws start to become a good approximation; certainly we don't have to worry about Euclidean laws being broken in our everyday existence (though the appreciation that the Earth is spherical is vital for the planning of long distance journeys).
Unfortunately, that is not true of real observations. 3. What evidence can you think of to support the assertion that the Universe is charge neutral, and hence contains an equal number of protons and electrons? 4. 6 eV. What is the frequency of a photon with this energy? At what temperature does the mean photon energy equal this energy? 5. 8k&T/h implies that fpeak/T is a constant. Evaluate this constant in SI units (see page xiv for useful numbers). The Sun radiates approximately as a black-body with Tsun ~ 5800 K.
So it is perfectly possible to have a finite surface which nevertheless has no boundary. If we draw parallel lines on the surface of the Earth, then they violate Euclid's final axiom. 2 The lines of longitude are an excellent example of the failure of Euclid's axiom; as they cross the equator they are all parallel to one another, but rather than remaining a constant distance apart they meet at both poles. If we draw a triangle on a sphere, we find that the angles do not add up to 180° degrees either.