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What would be good introductory and follow-up references to understand the close ties between physics and geometry.

I'm a retired engineer with the math background to handle Shankar's Principles of Quantum Mechanics, but like most engineers my era, I know little of the fundamentals of set theory, group theory, topology, etc. Although you can't help picking up bits and pieces following a self-education route.

I guess I'm looking for an efficient roadmap through at least the critical fundamental theories/types of mathematics and physics that leads to a reasonable level of understanding of how calabi-yau manifolds generate/correspond to a particular physics. (Pardon my lack of proper terminology.)

Ideally, references would be aimed at newcomers, but not at an elementary level. And, as an engineer, it's nice to find a text that introduces the concepts first and then dives into the math.

This is my first time on this site. If I've misunderstood the nature of the questions allowed, I apologize.

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closed as too localized by David Z Jun 8 '12 at 5:34

This question is unlikely to help any future visitors; it is only relevant to a small geographic area, a specific moment in time, or an extraordinarily narrow situation that is not generally applicable to the worldwide audience of the internet. For help making this question more broadly applicable, visit the help center.If this question can be reworded to fit the rules in the help center, please edit the question.

Hi Mike, and welcome to Physics Stack Exchange! We tend to keep a tight lid on these book recommendation questions, so to speak - they're not really the kind of thing this site was designed for. I'd suggest you have a look at and see if anything there would be useful to you. (Please don't feel that you've done anything wrong, by the way! We don't hold a closed question or two against you at all, and I do hope you'll feel welcome to keep contributing here.) – David Z Jun 8 '12 at 5:37
Okay. Thanks David. – Mike Jun 8 '12 at 5:48