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Physics (also known as "natural philosophy") is the analysis of nature that is conducted in order to model phenomena to describe how the universe behaves and gain partial understanding of it. One must keep in mind that physical laws and theories are never proven nor refuted but examined on how well they are in agreement to observations and in what domain of physical parameters (speed, temperature, pressure, field strength, etc) they remain in acceptable agreement with experimental observations. While it may be very tempting to assume our equations are the unbreakable rules or source code of the universe, we must realize that such absolute knowledge is fundamentally and hopelessly unknowable.

High School

High school/freshman physics is a broad survey of the the fundamentals of physics: Kinematics and Mechanics, Waves and Acoustics, Thermodynamics, Electricity and Magnetism, Optics and Light, Special Relativity, and Quantum Mechanics which may or may not be done in that order and may have a brief superficial discussion of further topics like Solid-State, Nuclear, or Particle Physics. The mathematical prerequisite is just Precalculus/Trigonometry but with the assumption you are at least taking the Calculus sequence at the same time as a co-requisite and topics from calculus will steadily appear as you progress. Of course, already knowing some calculus ahead of time will be an added benefit.

  • Young and Freedman - University Physics with Modern Physics

The following are "honors" level alternatives to the above tome but they don't quite cover everything (such as fluids and other small topics) so be aware to supplement them if you insist on studying out of them. Alternatively, you can use them for additional practice and insight with the above text (but don't feel obligated to read them before moving on to undergraduate level books). The level of required math is a bit higher and assumes you already know calculus.

  1. Kleppner & Kolenkow - An Introduction to Mechanics
  2. Purcell & Morin - Electricity and Magnetism
  3. Georgi - The Physics of Waves
  4. Fermi - Thermodynamics (Dover Books on Physics)
  5. Eisberg & Resnick - Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles

Undergraduate

The essential mathematical prerequisites are Vector Calculus, Matrix Algebra, and Ordinary Differential Equations. You're also assumed to be concurrently learning Partial Differential Equations, Probability, Fourier Transforms, Complex Variables, Special Functions, and Calculus of Variations as you progress. Most books will tend to have some brief introductory remarks on them when needed but it will only cover just enough material to solve the chapter's problem set and are really designed to serve as motivation to go out and fully learn them. The more math you know in advanced, the clearer the material will become.

Beyond these topics, physics majors are expected to take a number of labs and seminar courses on Error Analysis, Electronics and Instrumentation, Scientific Integrity (You might think it's unlikely but fraud in physics research does happen. The most famous example being Jan Hendrik Schön who was once thought to be on his way the Nobel Prize in Physics with completely fraudulent fabricated research), and Experimental Modern Physics.

Supplemental Reading

Classical Mechanics

  • Taylor - Classical Mechanics (Great for self study and contains a nice chapter on SR)
  • Gregory - Classical Mechanics (More to the point than Taylor)
  • Woodhouse - Introduction to Analytical Dynamics (Mathematical oriented complement to the above)

Special Relativity

  • Taylor and Wheeler - Spacetime Physics: Introduction to Special Relativity (Low level but good for conceptual understanding)
  • Woodhouse - Special Relativity (Nice brisk mathematical treatment of SR. See also Woodhouse's General Relativity book for a continuation)
  • Wolfgang Rindler - Introduction to Special Relativity 

Electrodynamics

  • Griffiths - Introduction to Electrodynamics[Errata] (The standard at most universities)
  • Wangsness - Electromagnetic Fields (an alternative to Griffiths and a good transition to Jackson)
  • Shadowitz - The Electromagnetic Field (Dover Books on Physics) (A cheap alternative and/or supplement to Griffiths, it does electricity and magnetism side by side rather than segregating them)
  • Schwarz - Principles of Electrodynamics (Dover Books on Physics) (Another cheap supplement to Griffiths, it's a tad more advanced and mathematical and with an emphasis on SR.)

For more on applications when you're done, see EEE's Electromagnetics recommendations.

Thermal Physics

The books on Thermal Physics aren't as great as you would hope they be. If you have the time, try to work through an Engineering Thermodynamics textbook to build up your familiarity with the subject matter before attempting to dive into the theory.

  • Schroeder - An Introduction to Thermal Physics [Site]
  • Kittel and Kroemer - Introduction to Thermal Physics
  • Reif - Fundamentals of Statistical and Thermal Physics

Quantum Mechanics

  • Griffiths - Introduction to Quantum Mechanics[Errata] (better for students with little exposure to QM)
  • Townsend - A Modern Approach to Quantum Mechanics (undergrad version of Sakurai)
  • Shankar - Principles of Quantum Mechanics (better for students with stronger preparation)

Additionally, the following books take a more conceptual and foundational approach rather than problem solving focus the above have.

  • Schumacher and Westmoreland - Quantum Processes, Systems, and Information
  • David Bohm - Quantum Theory  (Dover Books on Physics) (Sadly no Bohmian Mechanics, does a great job linking the development of quantum mechanics from classical mechanics)
  • Peres - Quantum Theory: Concepts and Methods
  • Bell - Speakable and Unspeakable in Quantum Mechanics: Collected Papers on Quantum Philosophy

Problem Books in QM

  • Galitski, Karnakov, Kogan, and Galitski Jr - Exploring Quantum Mechanics: A Collection of 700+ Solved Problems for Students, Lecturers, and Researchers (Expanded version of Problems in Quantum Mechanics (Dover Books on Physics) by Kogan and Galitskiy)
  • ter Haar - Problems in Quantum Mechanics (Dover Books on Physics)
  • Squires - Problems in Quantum Mechanics: With Solutions
  • Tamvakis - Problems and Solutions in Quantum Mechanics

Special Topics

Optics

  • Fowles - Introduction to Modern Optics (Dover Books on Physics)

Unfortunately this is pretty much the only good book on Optics at this level, the standard books at most universities are Hecht's "Optics" and Pedrotti, Pedrotti & Pedrotti's "Introduction to Optics", both of these books are severely flawed and would be impossible to use for self-study.

For more information on optics, see EEE's Photonics and Optics recommendations.

Fluid Mechanics

  • Acheson - Elementary Fluid Dynamics
  • Batchelor - An Introduction to Fluid Dynamics

Acoustics

  • Kinsler - Fundamentals of Acoustics

Solid State

  • Simon - The Oxford Solid State Basics (2013)
  • Harrison - Solid State Theory (1970) (Dover Books on Physics)
  • Ashcroft & Mermins - Solid State Physics (1976)
  • Ziman - Principles of the Theory of Solids (1979)

For more information on semiconductors, see EEE's Semiconductor Device Physics recommendations.

Atomic Physics

  • Foot - Atomic Physics
  • Bransden and Joachain - Physics of Atoms and Molecules
  • Haken and Wolf - The Physics of Atoms and Quanta: Introduction to Experiments and Theory

Nuclear Physics

  • Krane - Introductory Nuclear Physics

See also Nuclear Science and Engineering

Particle Physics

  • Griffiths - Introduction to Elementary Particles[Errata]
  • Thomson - Modern Particle Physics

Astrophysics

  • Carroll and Ostlie - An Introduction to Modern Astrophysics
  • Ryden - Introduction to Cosmology
  • Choudhuri - Astrophysics for Physicists

See the Astronomy Textbook Recommendations for more advanced material on astrophysics.

Relativity

See also the Astronomy General Relativity recommendations

Graduate

Required Reading

  • Landau & Lifshitz - Course of Theoretical Physics Volumes 1-10:
    1. Mechanics (Covers classical mechanics without special or general relativity, in the Lagrangian and Hamiltonian formalisms)
    2. The Classical Theory of Fields (Covers relativistic mechanics of particles and classical field theory; specifically special relativity and electromagnetism, general relativity and gravitation)
    3. Quantum Mechanics: Non-Relativistic Theory
    4. Quantum Electrodynamics
    5. Statistical Physics, Part 1 (Covers general statistical mechanics and thermodynamics and applications, including chemical reactions, phase transitions, and condensed matter physics)
    6. Fluid Mechanics
    7. Theory of Elasticity
    8. Electrodynamics of Continuous Media
    9. Statistical Physics, Part 2: Theory of the Condensed State
    10. Physical Kinetics
  • Pauli Lectures on Physics: Volumes 1-6 (Dover Books on Physics)
    1. Electrodynamics
    2. Optics and the Theory of Electrons
    3. Thermodynamics and the Kinetic Theory of Gases
    4. Statistical Mechanics
    5. Wave Mechanics
    6. Selected Topics in Field Quantization

Analytical Mechanics

Classical Electrodynamics

  • Jackson - Classical Electrodynamics (Required hazing - no exceptions)
  • Panofsky and Phillips - Classical Electricity and Magnetism (Dover Books on Physics)
  • Smythe - Static And Dynamic Electricity (Harder than Jackson)
  • Schwinger - Classical Electrodynamics
  • Zangwill - Modern Electrodynamics

Statistical Mechanics

  • Reichl - A Modern Course in Statistical Physics
  • Pathria and Beale - Statistical Mechanics
  • Kardar - Statistical Physics of Particles

SM2: Statistical Field Theory

  • Kardar - Statistical Physics of Fields
  • Mussardo - Statistical Field Theory: An Introduction to Exactly Solved Models in Statistical Physics
  • Giorgio Parisi - Statistical Field Theory 

Computational Statistical Mechanics

  • Tuckerman - Statistical Mechanics: Theory and Molecular Simulation
  • Krauth - Statistical Mechanics: Algorithms and Computations

Quantum Theory

  • Sakurai - Modern Quantum Mechanics
  • Sakurai - Advanced Quantum Mechanics (dated but useful to bridge QM to QFT)
  • Gottfried and Yan - Quantum Mechanics: Fundamentals[Errata] (Modern, rigorous, and complete)

2 more idiosyncratic books:

  • Ballentine - Quantum Mechanics: A Modern Development (Uses the Ensemble interpretation rather than the Copenhagen interpretation)
  • Weinberg - Lectures on Quantum Mechanics

QM References

  • Messiah - Quantum Mechanics (Dover Books on Physics)
  • Dirac - The Principles Of Quantum Mechanics (Classic)
  • Cohen-Tannoudji, Diu, and Laloë - Quantum Mechanics: Volumes 1&2

Path Integrals

  • Feynman, Hibbs, and Styer - Quantum Mechanics and Path Integrals: Emended Edition (Dover Books on Physics)
  • Schulman - Techniques and Applications of Path Integration (Dover Books on Physics)
  • Kleinert - Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets

Quantum Field Theories

  • Peskin & Schroeder - An Introduction to Quantum Field Theory [Errata]
  • Schwartz - Quantum Field Theory and the Standard Model [Errata]
  • Srednicki - Quantum Field Theory [Draft and errata]
  • Weinberg - The Quantum Theory of Fields

Many-Body Physics

  • Fetter and Walecka - Quantum Theory of Many-Particle Systems (Dover Books on Physics) 
  • Negele and Orland - Quantum Many-particle Systems
  • Mahan - Many-Particle Physics
  • Coleman - Introduction to Many-Body Physics
  • Altland and Simons - Condensed Matter Field Theory

General Relativity

  • Schutz - Geometrical Methods of Mathematical Physics
  • Wald - General Relativity
  • Misner, Thorne, & Wheeler - Gravitation

Mathematics Resources

  • Hassani - Mathematical Physics: A Modern Introduction to Its Foundations
  • Szekeres - A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry
  • Nakahara - Geometry, Topology and Physics
  • Frankel - The Geometry of Physics
  • Reed & Simon - Methods of Modern Mathematical Physics I: Functional Analysis; II: Fourier Analysis, Self-Adjointness; III: Scattering Theory; IV: Analysis of Operators

Quantum Field Theory in Curved Spacetime

  • Mukhanov and Winitzki - Introduction to Quantum Effects in Gravity
  • Birrell and Davies - Quantum Fields in Curved Space
  • Parker and Toms - Quantum Field Theory in Curved Spacetime: Quantized Fields and Gravity

String Theory

  • Becker, Becker, and Schwarz - String Theory and M-Theory: A Modern Introduction
  • Polchinski - String Theory, Volume I: An Introduction to the Bosonic String; II: Superstring Theory and Beyond

External Links

Book Recommendations

Chicago Undergraduate Physics Bibliography

Gerard 't Hooft's guide on becoming a good theoretical phycisist

Stack Exchange Physics Book Recommendations

A Physics Book List: Recommendations from the Net

So You Want To Learn Physics...

So You want To Become a Physicist? (A collection of physics books and notes for almost any subject.)

Other

Wolfram Physics World

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