Science in The Time Machine isn't just about making awesome machines that travel through time. (For more about awesome machines, check out "Themes: Technology and Modernization.") Rather, science is about a way of thinking. You start with an observation, come up with a theory, test that theory, and repeat as necessary until you're reasonably sure you have the right answer. (Or until your funding runs out. But since our protagonist is a gentleman-scientist, he doesn't need to worry about this.) There's a lot of science in this book, since our protagonist is a scientist, dealing with scientific things in a scientific manner. Some interesting things come up when we look closely at the science in the book. The most important being that science involves being wrong a lot. That's all part of getting closer to the truth.
The Time Machine argues that science is not unemotional – it involves feelings and thoughts that aren't purely logical.
The Time Traveller is a believable narrator precisely because he is so often wrong and willing to admit it.