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/sci/ - Science & Math

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14494387 No.14494387 [Reply] [Original]

Physics:
>CM
Treatise on analytical dynamics of particles and rigid bodies by E. T. Whittaker, Sir William McCrae
Foundations of Mechanics by Abraham and Marsden
>SR
Special Relativity in General Frames by Éric Gourgoulhon
>GR
Semi-Riemannian Geometry With Applications to Relativity by O'Neill
The Geometry of Kerr Black Holes (Dover Books on Physics) by O'Neill
General Relativity for Mathematicians (Graduate Texts in Mathematics) by Sachs and Wu
The Large Scale Structure of Space-Time by S. W. Hawking, G. F. R. Ellis
>QM
Quantum Theory for Mathematicians (Graduate Texts in Mathematics) by Hall
Quantum Mechanics for Mathematicians (Graduate Studies in Mathematics) by Takhtajan
>QFT
Quantum Field Theory: A Tourist Guide for Mathematicians by Folland
Quantum Field Theory for Mathematicians by Robin Ticciati
>QFT + ST
Quantum Fields and Strings: A Course for Mathematicians by Deligne, Etinghof, Freed, Jeffreys, Kazhdan, Morgan, Morrison, and Witten Vol 1+2
>QFT + QED
From Classical Field Theory to Perturbative Quantum Field Theory by Dütsch
>LQG
LQG for the Bewildered by Vaid
https://arxiv.org/abs/gr-qc/9806079
https://arxiv.org/abs/1010.1939
Landau & Lifshitz for the rest (Statistical Physics, Fluid Dynamics, etc.) also Hamilton's "Mathematical Gauge Theory"

Math:
Calculus: Spivak (or Apostol)
Linear Algebra: Halmos
Combinatorics/Discrete math: Graham, Knuth and Patashnik
Multivariable Calculus: Marsden and Tromba
ODE: Birkhoff & Rota (or Arnold)
Abstract Algebra: Artin
Undergrad Real Analysis: Carothers
Measure Theory: Cohn
Grad Real Analysis: Folland or Royden
Complex Analysis: Ahlfors
Point Set Topology: Dugundji
Differential Geometry of Curves and Surfaces: do Carmo
Manifolds: Lee along with Guillemin
Functional Analysis: Conway
Fourier Analysis: Katznelson
PDE: Strauss for undergrad Evans for grad
Algebraic Topology: Bott/Tu (or Hatcher)
Riemannian Geometry: do Carmo
Probabilty: Ross for undergrad level, Durrett for measure-theoretic probability

>> No.14494403

Now please a list for chemistry

>> No.14494514
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14494514

>>14494387
>>14494403
Why not read the Bible and go to Church instead of wasting your life pursuing a silly fantasy?

>> No.14494520

>>14494514
Por que no los dos?

>> No.14494552

>already a freshman and didn't get through high school section
I'm not gonna make it will I?

>> No.14494557
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14494557

>multiplication and division of p-adic numbers by hand
Kek, that's like multiplication and division of real numbers by hand. If you haven't learned how to multiply pi and e you're NGMI.

>> No.14494559

>>14494387
wtf why all of this? just learn what you need based on your understanding. this list is anti-intellectual.

>> No.14494562

>>14494559
Its a datamining thread.

>> No.14494623

this curriculum is quite easy and slow paced when considering my high iq of 115. perhaps u have a more "advanced" pathway? perchance.

>> No.14494746

>>14494559
Its a meme, just study what you need.