combination of sans and serif

Suggestions for a combination of fonts to be used in a math thesis

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Greeting font anthusiasts,

I have recently finished typing up my Ph.D. thesis in math and I am looking to improve its overall appearance. Let me say right off the bat that the standard font that tex uses, i.e. Knuth's computer modern, is not bad; I'd simply like to explore some further options. I am using the KOMA script latex package which sets chapter and section headings in sans of whatever font family is used for the main text. While this can be changed, i.e. need not be sans of anything, I think I'd like to keep this feature and thus use a serif typeface for the main body and a sans typeface for section and chapter headings.

Looking for serif font for headings. I'll be using Source Sans Pro for body text.

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I was using PT Serif (for headings) and PT Sans (for body text) and I was satisfied... but when I saw Source Sans Pro I knew it was time for a change, but I can't find any good serif font (for headings) without ending up with an ugly, artificial etc. combination. I may be an amateur in this, but I think I know when something looks ugly. For example: in PT Serif (headings) + Source Sans Pro (body text) combination uppercase "J"s just "can't stand eachother"). I intend to use it at home and for writing some reports at work - nothing too long (there will be some tables too). Both printed and on-screen "performance" is important. Fonts with SIL Open Font License are strongly prefered (I bought MS Office and I just don't want to buy any more fonts at this time).

A Sans and a Serif that go well together

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hey, i am looking for a sans and a serif that go well together in a CV.

in http://typophile.com/node/31800 , there is a pic of a great CV, and I designed mine accordingly. but I do not own freight, nor do I own any other font package that includes a sans and a serif designed to go together.

I tried Avenir for headlines with minion pro for body which was nice, but now I am looking for other possibilities.

Arial Narrow with Baskerville? I know I am supposed to despise Arial, but it is combined like this in a pages template (apple software...)

Myriad with Garamond (both Adobe, both Apple typefaces)? I don't like Myriad in a CV, it is too... soft?

What do you think?

Many thanks for your opinion in advance, this is my first post ever!