Books to Self-Study Maths, Physics, and More

[PalashD]

I have to self study the following topics what books should I get to do it?

1) Mathematical Physics
The course is: Linear vector space; matrices; vector calculus; linear differential equations; elements of complex analysis; Laplace transforms, Fourier analysis, elementary ideas about tensors.

2)Classical Mechanics
Course: Conservation laws; central forces, Kepler problem and planetary motion; collisions and scattering in laboratory and centre of mass frames; mechanics of system of particles; rigid body dynamics; moment of inertia tensor; noninertial frames and pseudo forces; variational principle; Lagrange’s and Hamilton’s formalisms; equation of motion, cyclic coordinates, Poisson bracket; periodic motion, small oscillations, normal modes; special theory of relativity – Lorentz transformations, relativistic kinematics, mass-energy equivalence.
I have access to the following books but obviously can't read them all
Classical Mechanics - 3rd ed. - Goldstein, Poole & Safko
Mechanics 3rd ed. - L. Landau, E. Lifgarbagez
Classical Mechanics - Point Particles And Relativity - W. Greiner
Classical Mechanics - Systems of Particles and Hamiltonian Dynamics - W. Greiner
Classical Mechanics - Tatum
Hamiltonian Dynamics - Theory and Applications - Cachan, paris
Structure And Interpretation Of Classical Mechanics - G. Sussman, J. Wisdom

3)Electromagnetic Theory: Solution of electrostatic and magnetostatic problems including boundary value problems; dielectrics and conductors; Biot-Savart’s and Ampere’s laws; Faraday’s law; Maxwell’s equations; scalar and vector potentials; Coulomb and Lorentz gauges; Electromagnetic waves and their reflection, refraction, interference, diffraction and polarization. Poynting vector, Poynting theorem, energy and momentum of electromagnetic waves; radiation from a moving charge.
Books:
Classical Electrodynamics - W. Greiner
Classical Electrodynamics 3rd ed. - J.D. Jackson
Classical Electrodynamics for Undergraduates - H. Norbury
Electrodynamics of Continuous Media 2nd ed. - L. Landau, E. Lifgarbagez
Introduction to Electrodynamics - D. Griffiths

4)Quantum Mechanics: Physical basis of quantum mechanics; uncertainty principle; Schrodinger equation; one, two and three dimensional potential problems; particle in a box, harmonic oscillator, hydrogen atom; linear vectors and operators in Hilbert space; angular momentum and spin; addition of angular momenta; time independent perturbation theory; elementary scattering theory.
Books:
Quantum Mechanics - A Conceptual Approach - H. Hameka
Quantum Mechanics - A Modern Development - L. Ballentine
Quantum Mechanics - an Introduction, 4th ed. - W. Greiner
Quantum Mechanics - Concepts and Applications - T. Biswas
Quantum Mechanics - J. Norbury
Quantum Mechanics - L. Schiff
Quantum Mechanics - Modern Mevelopment 4ed - A. Rae
Quantum Mechanics - Symmetries 2nd ed. - W. Greiner, B. Muller
Quantum Mechanics - Vol 1 - Cohen-Tannoudji
Quantum Mechanics - Vol 2 - Cohen-Tannoudji
Quantum Mechanics And Path Integrals - R. Feynman, A. Hibbs
Quantum Mechanics in Hilbert Space - E. Prugovecki
Quantum statistical mechanics - Kadanoff, L.P., Baym, G.
Introduction to Quantum Mechanics - A. Phillips
Introduction to Quantum Mechanics - D. Griffiths


Thermodynamics and Statistical Physics: Laws of thermodynamics; macrostates and microstates; phase space; probability ensembles; partition function, free energy, calculation of thermodynamic quantities; classical and quantum statistics; degenerate Fermi gas; black body radiation and Planck’s distribution law; Bose-Einstein condensation; first and second order phase transitions, critical point.
Books:Thermal and Statistical Physics - H. Gould, J. Tobochnik
Thermal physics - Kittel
Thermodynamics - E. Fermi
Thermodynamics An Engineering Approach 5th Edition - Gengel, Boles
Thermodynamics an introductory treatise - Bryan G.H.
Thermodynamics and an Introduction to Thermostatistics 2ed - H. Callen
Thermodynamics and Introductory Statistical Mechanics - Linder B.
Thermodynamics and Statistical Mechanics - W. Greiner, L. Niese, H. Stocker
Thermodynamics- An Advanced Treatment for Chemists and Physicists - E. Guggenheim

Atomic and Molecular Physics: Spectra of one- and many-electron atoms; LS and jj coupling; hyperfine structure; Zeeman and Stark effects; electric dipole transitions and selection rules; X-ray spectra; rotational and vibrational spectra of diatomic molecules; electronic transition in diatomic molecules, Franck-Condon principle; Raman effect; NMR and ESR; lasers.
books:
Handbook of Particle Physics - J. Sundaresan
Introduction to Elementary Particles - D. Griffiths
Particles and Quantum Fields - H. Klienert
Quarks and Leptons An Introductory Course in Modern Particle Physics - F.Halzem,A.Martin
The Universe in a Helium Droplet - G. Volovik
Fundamentals of Light Sources and Lasers - Mark Csele
Solid-State Lasers - A Graduate Text - W.Koechner, M.Bass


Solid State Physics: Elements of crystallography; diffraction methods for structure determination; bonding in solids; elastic properties of solids; defects in crystals; lattice vibrations and thermal properties of solids; free electron theory; band theory of solids; metals, semiconductors and insulators; transport properties; optical, dielectric and magnetic properties of solids; elements of superconductivity.
Books:Solid State Physics - Ashcroft, Neil W, Mermin, David N
Solid state physics problems and solutions - Mihaly L., Martin M.C.

Nuclear and Particle Physics: Nuclear radii and charge distributions, nuclear binding energy, Electric and magnetic moments; nuclear models, liquid drop model - semi-empirical mass formula, Fermi gas model of nucleus, nuclear shell model; nuclear force and two nucleon problem; Alpha decay, Beta-decay, electromagnetic transitions in nuclei; Rutherford scattering, nuclear reactions, conservation laws; fission and fusion; particle accelerators and detectors; elementary particles, photons, baryons, mesons and leptons; quark model.

books:An Introduction to nuclear physics - Greenwood, Cottingham
Fundamentals in Nuclear Physics - From Nuclear Structure to Cosmology - Basdevant, Rich, Spiro
Advanced Course in Modern Nuclear Physics - J. Arias, M. Lozano


Electronics: Network analysis; semiconductor devices; Bipolar Junction Transistors, Field Effect Transistors, amplifier and oscillator circuits; operational amplifier, negative feedback circuits , active filters and oscillators; rectifier circuits, regulated power supplies; basic digital logic circuits, sequential circuits, flip-flops, counters, registers, A/D and D/A conversion.
books:Boylestead,Nashelsky


what books should I use? and how should I start studying? which topics to take up first?

 

[Daverz]

It should only take you a few weeks to get through those.

 

[ank_gl]

Generally takes some 4 years, lolzz

 

[ronaldor9]

four weeks max, JK! How much math do you know?

 

[Howers]

Your order is about correct, math first then do classical mechanics + EM first, then QM and Thermal, then the rest. Use 1 or 2 books from each section max, not all 10.

 

[PalashD]

Your order is about correct, math first then do classical mechanics + EM first, then QM and Thermal, then the rest. Use 1 or 2 books from each section max, not all 10.

okay I will go in that order. But I want to know which book would be good for mathematical Physics for the given course? I want some with huge number of "good" problems

 

[LithiumHelios]

It seems like the maths course covers a broad-ish range of topics so I'd probably recommend a typical undergrad book like:

https://www.amazon.com/dp/0521679710/?tag=pfamazon01-20

Should be able to take a look at the table of contents on Amazon, it has plenty of problems and gives an introduction to most topics you'd encounter at the undergraduate level. Will probably be a good idea to build up the collection of maths books as and when you require a more advanced treatment of whatever subject.

(I'm presuming you're at undergraduate level anyway.)

 

[PalashD]

It seems like the maths course covers a broad-ish range of topics so I'd probably recommend a typical undergrad book like:

https://www.amazon.com/dp/0521679710/?tag=pfamazon01-20

Should be able to take a look at the table of contents on Amazon, it has plenty of problems and gives an introduction to most topics you'd encounter at the undergraduate level. Will probably be a good idea to build up the collection of maths books as and when you require a more advanced treatment of whatever subject.

(I'm presuming you're at undergraduate level anyway.)

Yeah I am at UG level! I had a look at the book at google books. Seems great. I will get it.