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| # Mathematics and Physics summaries | ||
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| Summary of each subject in Mathematics and Physics degree at UAB (Universitat Autònoma de Barcelona) at Paris Dauphine - PSL University. | ||
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| ### TODO | ||
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| > Remember: When writing the proofs of the remaining summaries, reread and review the `\emph{}` definitions in order to appear properly in the index. | ||
| - Mathematics 1 | ||
| - Fundamentals of mathematics | ||
| - Proofs | ||
| - Linear Algebra | ||
| - Proofs | ||
| - Real-valued functions | ||
| - Proofs | ||
| - Mathematics 2 | ||
| - Algebraic structures | ||
| - Proofs | ||
| - Discrete mathematics | ||
| - Proofs | ||
| - Functions of several variables | ||
| - Proofs | ||
| - Linear geometry | ||
| - Proofs | ||
| - Add interpretation of the projective plane | ||
| - Mathematical analysis | ||
| - Proofs | ||
| - Numerical analysis | ||
| - Proofs | ||
| - Mathematics 3 | ||
| - Complex analysis | ||
| - Proofs | ||
| - Differential equations | ||
| - Proofs | ||
| - Differential geometry | ||
| - Proofs | ||
| - Galois theory | ||
| - Proofs | ||
| - Probability | ||
| - Proofs | ||
| - Add interpretation of the central limit theorem (the normals are everywhere because many things depend on a lot of small factors) | ||
| - Statistics | ||
| - Proofs | ||
| - Topology | ||
| - Proofs | ||
| - Mathematics 4 | ||
| - Algebraic topology | ||
| - All | ||
| - Arithmetic | ||
| - All | ||
| - Dynamical systems | ||
| - Proofs | ||
| - Linear models | ||
| - Proofs | ||
| - More organization!!! | ||
| - Add interpretation of the correlation | ||
| - PDEs | ||
| - Initial proofs | ||
| - Entropy condition | ||
| - Strong maximum principle | ||
| - Real and functional analysis | ||
| - Add interpretation of the Lebesgue integral | ||
| - Final proofs of measure theory | ||
| - Proof of Arzelà-Ascoli | ||
| - Lp is separable | ||
| - Cc(U) is dense in Lp(U) | ||
| - Marcinkiewicz | ||
| - Duality - Hahn-Banach | ||
| - General theorems on linear maps | ||
| - Hilbert | ||
| - Lp is Banach | ||
| Summary of each subject in Mathematics and Physics degree at UAB (Universitat Autònoma de Barcelona) and at Paris Dauphine - PSL University. You can found the summaries in my [website](https://victorballester7.github.io/complete-summaries). | ||
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| Feel free to help us with this summaries! |