Recent content by redrzewski
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Graduate Why Does a=dB Imply ∫a=0 on Compact Manifolds?
I'm looking at prop 19.5 of Taylor's PDE book. The theorem is: If M is a compact, connected, oriented manifold of dimension n, and a is an n-form, then a=dB where B is an n-1 form iff the ∫a over M is 0. I'm trying to understand why a=dB implies ∫a = 0. If M has no boundary, than this...- redrzewski
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- Compact Manifold
- Replies: 5
- Forum: Differential Geometry
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Lecture notes in The Differential geometry of Gauge theory?
https://www.amazon.com/dp/1441972536/?tag=pfamazon01-20 https://www.amazon.com/dp/1441978941/?tag=pfamazon01-20- redrzewski
- Post #2
- Forum: Science and Math Textbooks
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What is your degree, and what do you do?
MS comp sci. I'm a programmer. Work involves: figuring out what to build next. Documenting it. Then building it. Then debugging it. Finally shipping. Then repeat the cycle. All aspects of the cycle are frequently interesting for different reasons. In figuring out what to build...- redrzewski
- Post #14
- Forum: STEM Career Guidance
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Spivak's Physics for Mathematicians?
AP as in high school? I haven't read Spivak's Mechanics, but I have read a couple volumes of his differential geometry series. (They are tremendous, and I highly recommend them.) 1 amazon review says that Spivak recommends you read vols 1 and 2 of his differential geometry series before...- redrzewski
- Post #2
- Forum: Science and Math Textbooks
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Textbooks for Atomic and Molecular quantum mechanics?
For what its worth, I ordered this one: https://www.amazon.com/dp/3642074006/?tag=pfamazon01-20 It just came today. I'm only a few chapters in, but it is clear and easy to follow. I'm very happy with it so far.- redrzewski
- Post #4
- Forum: Science and Math Textbooks
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Textbooks for Atomic and Molecular quantum mechanics?
I'm interested in this too. So hopefully someone replies with specific recommendations. I've been poking around amazon, and it looks like the main subject areas (based on tables of contents of various books) are: Molecular quantum mechanics Molecular physics Quantum chemistry...- redrzewski
- Post #2
- Forum: Science and Math Textbooks
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Is Coordinate-Free Relativity the Key to Understanding General Relativity?
Here's some free course notes that are primarily coords free: http://docs.google.com/viewer?a=v&pid=sites&srcid=ZGVmYXVsdGRvbWFpbnx3aW5pdHpraXxneDoxN2EyNzZjYmViODQ3ZWQ If you don't trust that link, search for: "General Relativity Winitzki"- redrzewski
- Post #15
- Forum: Science and Math Textbooks
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Mathematics of Classical and Quantum Physics
Personally, I'd go thru one of the below before jumping into Byron. https://www.amazon.com/dp/0306450356/?tag=pfamazon01-20 https://www.amazon.com/dp/0471198269/?tag=pfamazon01-20 Higher level: https://www.amazon.com/dp/0120598760/?tag=pfamazon01-20- redrzewski
- Post #2
- Forum: Science and Math Textbooks
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Books on properties of matter (condensed matter?)
Thanks. I'll take a look at those, too. What drew me to Chaikin was the focus on fluids as well. I also found a book specifically on fluids: Structured Fluids by (Thomas) Witten As for my level - I'm self-studying, and would prefer to err on the side of a little too challenging...- redrzewski
- Post #3
- Forum: Science and Math Textbooks
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Books on properties of matter (condensed matter?)
I'm mainly looking for how "real" life properties are explained. I'm looking for a book on the properties of matter. Something that covers the why liquids flow, the detailed properties of water, how different colors come about, etc, properties of solids, etc. Why are soft things soft? Stuff...- redrzewski
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- Books Condensed matter Matter Properties
- Replies: 2
- Forum: Science and Math Textbooks
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Exploring Post-Graduation Career Options in Theoretical Physics and Pure Math
I've been self-studying math/physics for over 10 years now. One thing is that you need to adjust your time frame and expectations. In school, you're talking multiple classes at the same time, and focussed full time on your studies. But you're only in school for a few years. Even with PhD...- redrzewski
- Post #6
- Forum: STEM Career Guidance
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Music Theory for Engineers/Scientists
Check out : https://www.amazon.com/dp/0195178297/?tag=pfamazon01-20- redrzewski
- Post #5
- Forum: Science and Math Textbooks
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Which QFT Books Offer a Math-Centric Perspective?
Found this thread, which contains a superset of the books I list above: http://physics.stackexchange.com/questions/6530/rigor-in-quantum-field-theory- redrzewski
- Post #2
- Forum: Science and Math Textbooks
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Which QFT Books Offer a Math-Centric Perspective?
I'm looking for recommendations for QFT books written from a more math perspective. I'm looking for the usual intro topics, including the standard model, etc. Ideally, emphasis on geometry and understanding. Calculating scattering in gory detail isn't my goal. From this thread...- redrzewski
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- Books Perspective Qft
- Replies: 1
- Forum: Science and Math Textbooks
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Programs Seeking Advice After Making a Major Mistake: I Chose the Wrong Major
Also look at CS grad school in numeric analysis (ex. numeric methods for solving PDEs).- redrzewski
- Post #4
- Forum: STEM Academic Advising