- #1
aLearner
- 25
- 0
So I really want to get good at mathematical physics. Below is a list of books I could get from various libraries, but I don't know which one's I should start with and which to do next and so on. I currently understand intro CM, EM, and QM. My math skills are very basic (ODES as of now). I thank you for your time.
Mathematical Physics :
1) Mathematical methods for physics and engineering - Riley, Hobson
2) Math methods in physics and engineering with Mathematica - F. Cap
3) Applied Mathematical Methods in Theoretical Physics - Masujima M.
4) A Guided Tour of Mathematical Physics - Roel Snieder
5) A Course in Modern Mathematical Physics - Groups, Hilbert
6) Equations of Mathematical Physics - Bitsadze A.V.
7) Mathematical Tools for Physics - J. Nearing
8) Mathematical Methods for Physicists - a Concise Introduction - T. Chow
9) The Fourier Transform And Its Applications - Bracewell
10) Calculus Of Variations With Applications To Physics & Engineering - R. Weinstock
11) Determinants and their applications in mathematical physics - Vein R., Dale P.
12) Geometry, Topology and Physics - M.Nakahara
13) Introduction to Groups, Invariants and Particles - F. Kirk
14) Differential Geometry - Analysis and Physics - J. Lee
15) Topology & Geometry in Physics - Steffen
16) Topology and Geometry for Physicists - C. Nash, S. Sen
17) Twistor Geometry, Supersymmetric Field Theories in Supertring Theory - C. Samann
18) Modern Differential Geometry for Physicists 2nd ed., - C. Isham
19) Mathematical Methods of Classical Mechanics, 2nd ed. - V.I. Arnold
20) Nonlinear Physics with Mathematica for Scientists and Engineers - R. Ennis, G. McGuire
21) Chaos - Classical and Quantum - P. Civitanovic
22) Chaos and Structures in Geophysics and Astrophysics - Provenzale & Balmforth
23) From calculus to chaos - Acheson
24) Mathematical topics between classical and quantum mechanics - Landsman N.P.
25) Methods of Modern Mathematical Physics Vol 1 - Functional Analysis 2nd. ed. - M. Reed
26) Methods of Modern Mathematical Physics Vol 2 - Fourier Analysis, Self Adjointness -2nd ed., - M. Reed
27) Methods of Modern Mathematical Physics Vol 3 - Scattering Theory - M. Reed
28) Methods of Modern Mathematical Physics Vol 4 - Analysis of Operators - M. Reed
29) Numerical Quantum Dynamics - W. Schweizer
30) Quantum Geometry - A Statistical Field Theory Approach - Ambje, Durhuus B., Jonsson T
31) Supersymmetric methods in quantum and statistical physics - Junker G.
32) Path integrals and their applications in quantum, statistical, and solid state physics - Papadopoulos , J. T. Devreese
33) Path Integrals in Physics Volume 1 Stochastic Process & Quantum Mechanics - M. Chaichian, A. Demichev
34) Path integrals in physics, vol.2. QFT, statistical physics and modern applications - Chaichian M., Demichev A.
also, feel free to modify the list in any way. I hope to dedicate two solid years on the subject, and at the end, be able to look at any physics branch and undertand the math behind it (even string theory).
-aLearner
Mathematical Physics :
1) Mathematical methods for physics and engineering - Riley, Hobson
2) Math methods in physics and engineering with Mathematica - F. Cap
3) Applied Mathematical Methods in Theoretical Physics - Masujima M.
4) A Guided Tour of Mathematical Physics - Roel Snieder
5) A Course in Modern Mathematical Physics - Groups, Hilbert
6) Equations of Mathematical Physics - Bitsadze A.V.
7) Mathematical Tools for Physics - J. Nearing
8) Mathematical Methods for Physicists - a Concise Introduction - T. Chow
9) The Fourier Transform And Its Applications - Bracewell
10) Calculus Of Variations With Applications To Physics & Engineering - R. Weinstock
11) Determinants and their applications in mathematical physics - Vein R., Dale P.
12) Geometry, Topology and Physics - M.Nakahara
13) Introduction to Groups, Invariants and Particles - F. Kirk
14) Differential Geometry - Analysis and Physics - J. Lee
15) Topology & Geometry in Physics - Steffen
16) Topology and Geometry for Physicists - C. Nash, S. Sen
17) Twistor Geometry, Supersymmetric Field Theories in Supertring Theory - C. Samann
18) Modern Differential Geometry for Physicists 2nd ed., - C. Isham
19) Mathematical Methods of Classical Mechanics, 2nd ed. - V.I. Arnold
20) Nonlinear Physics with Mathematica for Scientists and Engineers - R. Ennis, G. McGuire
21) Chaos - Classical and Quantum - P. Civitanovic
22) Chaos and Structures in Geophysics and Astrophysics - Provenzale & Balmforth
23) From calculus to chaos - Acheson
24) Mathematical topics between classical and quantum mechanics - Landsman N.P.
25) Methods of Modern Mathematical Physics Vol 1 - Functional Analysis 2nd. ed. - M. Reed
26) Methods of Modern Mathematical Physics Vol 2 - Fourier Analysis, Self Adjointness -2nd ed., - M. Reed
27) Methods of Modern Mathematical Physics Vol 3 - Scattering Theory - M. Reed
28) Methods of Modern Mathematical Physics Vol 4 - Analysis of Operators - M. Reed
29) Numerical Quantum Dynamics - W. Schweizer
30) Quantum Geometry - A Statistical Field Theory Approach - Ambje, Durhuus B., Jonsson T
31) Supersymmetric methods in quantum and statistical physics - Junker G.
32) Path integrals and their applications in quantum, statistical, and solid state physics - Papadopoulos , J. T. Devreese
33) Path Integrals in Physics Volume 1 Stochastic Process & Quantum Mechanics - M. Chaichian, A. Demichev
34) Path integrals in physics, vol.2. QFT, statistical physics and modern applications - Chaichian M., Demichev A.
also, feel free to modify the list in any way. I hope to dedicate two solid years on the subject, and at the end, be able to look at any physics branch and undertand the math behind it (even string theory).
-aLearner