Description
This is a path for young students - and anyone else - who are thrilled by the challenges posed by real science, and who are determined to use their brains to discover new things about the physical world that we are living in. In short, it is for all those who decided to study theoretical physics, in their own time.
It should be possible, these days, to collect all knowledge you need from the internet. Problem then is, there is so much junk on the internet. Is it possible to weed out those very rare pages that may really be of use? I know exactly what should be taught to the beginning student. The names and topics of the absolutely necessary lecture courses are easy to list, and this is what I have done below. It is my intention to search on the web where the really useful papers and books are, preferably downloadable as well. This way, the costs of becoming a theoretical physicist should not exceed much the price of a computer with internet connection, a printer, and lots of paper and pens. Unfortunately, I still have to recommend to buy text books as well, but it is harder to advise you here; perhaps in a future site. Let’s first limit ourselves to the absolute minimum. The subjects listed below must be studied. Any omission will be punished: failure. Do get me right: you don’t have to believe anything you read on faith - check it. Try alternative approaches, as many as you can. You will discover, time and again, that really what those guys did indeed was the smartest thing possible. Amazing. the best of the texts come with exercises. Do them. find out that you can understand everything. Try to reach the stage that you discover the numerous misprints, tiny mistakes as well as more important errors, and imagine how you would write those texts in a smarter way.
Syllabus
Primary Mathematics
This is for starters. Some of these topics actually come as entire lecture courses. Much of those are essential ingredients of theories in Physics. You don’t have to finish it all before beginning with what follows next, but remember to return to those subjects skipped during the first round.
- Beginning Algebra
- Intermediate Algebra
- Dave E. Joyce's Trigonometry course
- Prof. James Binney's course on Complex Numbers (*.pdf)
- (Nearly) Complete overview of Primary Mathematics (K. Kubota, Kentucky)
- Chris Pope's lecture notes: Methods 1 Methods 2
- The complex plane, Cauchy theorems and contour integration.
Classical Mechanics
- An intermediate level course on Analytical Classical Dynamics by R. Fitzpatrick, Univ. of Texas, Austin
- A good set of Lecture notes from Harvard (note that the latest course requires a password but the older ones are freely accessible)
- A short course on Classical Mechanics by Prof. J. J. Binney
Optics
Statistical Mechanics & Thermodynamics
- The course “Statistical Mechanics” by Alfred Huan
- Prof. Kelly’s lecture notes on Statistical Physics
- Gould/Tobochnik lecture notes
- Intermediate level course on Statistical Mechanics by R. Fitzpatrick
Electronics
Electromagnetism
- Electromagnetism by James Sparks
- Notes on Classical Electromagnetism by R. Fritzpatrick
- Bo Thide’s EM Field theory text(advanced)
- Worked out exercises from Jackson’s book: Selection 1 / Selection 2
Computational Physics
- Mathematica for Students of Science by James Kelly
- Angus MacKinnon, Computational Physics
- Prof. Mathews’ projects on Numerical Analysis
Quantum Mechanics (non-relativism)
- Introduction to QM and special relativity: Michael Fowler
- Niels Walet lecture course on QM (Manchester)
- Lecture Notes on QM from MIT: Undergraduate / Graduate
- James Branson, Quantum Physics (UCSD)
Atoms & Molecules
- Notes on General Quantum Chemistry from Georgiatech
- Lecture notes on Physical Chemistry by Darin J. Ulness
Solid State Physics
- An introduction to Solid State Physics by Yuri M. Galperin
- A course in Solid State Physics by Mark Jarrell
- Solid State Physics: notes by Chetan Nayak (UCLA)
Nuclear Physics
Plasma Physics
Advanced Mathematics
- See John Heinbockel, Virginia.
- See Chr. Pope: Methods2.
- Mathematics textbooks list. (Link not working; working on finding an alternative)
- G.’t Hooft: Lie groups in Physics, (now also in English) + exercises.
- For Lie Groups, see also the last section of Chr. Pope’s lectures (under “General Relativity”).
- The special functions and polynomials(PDF) (just understand the principles).
Special Relativity
- Peter Dunsby’s lecture course on tensors and special relativity
- Prof. Firk’s book on Special Relativity
Advanced Quantum Mechanics
- Prof. Stringari’s course on Ultracold Fluids.
- Introduction to the Quantum Hall effect by A.H. MacDonald
- Introduction to Coherent States and Quantum Information Theory by K. Fujii
- Tutorial on Quantum information by Peter Zoller
- Intoduction to Quantum Computation by A. Chatterjee
- Advanced QM by Freeman J. Dyson
- K. Schulten’s notes on advanced QM
- James Branson, Advanced Quantum Theory
Phenomenology
General Relativity
- Introduction + exercises by G. ‘t Hooft
- Sean M. Carrol’s lecture notes on GR
- Chr. Pope, Geometry and Group Theory, PDF
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TypeRoadmaps
-
ProviderIndependent
-
PricingFree
-
CertificateNo Certificate
This is a path for young students - and anyone else - who are thrilled by the challenges posed by real science, and who are determined to use their brains to discover new things about the physical world that we are living in. In short, it is for all those who decided to study theoretical physics, in their own time.
It should be possible, these days, to collect all knowledge you need from the internet. Problem then is, there is so much junk on the internet. Is it possible to weed out those very rare pages that may really be of use? I know exactly what should be taught to the beginning student. The names and topics of the absolutely necessary lecture courses are easy to list, and this is what I have done below. It is my intention to search on the web where the really useful papers and books are, preferably downloadable as well. This way, the costs of becoming a theoretical physicist should not exceed much the price of a computer with internet connection, a printer, and lots of paper and pens. Unfortunately, I still have to recommend to buy text books as well, but it is harder to advise you here; perhaps in a future site. Let’s first limit ourselves to the absolute minimum. The subjects listed below must be studied. Any omission will be punished: failure. Do get me right: you don’t have to believe anything you read on faith - check it. Try alternative approaches, as many as you can. You will discover, time and again, that really what those guys did indeed was the smartest thing possible. Amazing. the best of the texts come with exercises. Do them. find out that you can understand everything. Try to reach the stage that you discover the numerous misprints, tiny mistakes as well as more important errors, and imagine how you would write those texts in a smarter way.
Primary Mathematics
This is for starters. Some of these topics actually come as entire lecture courses. Much of those are essential ingredients of theories in Physics. You don’t have to finish it all before beginning with what follows next, but remember to return to those subjects skipped during the first round.
- Beginning Algebra
- Intermediate Algebra
- Dave E. Joyce's Trigonometry course
- Prof. James Binney's course on Complex Numbers (*.pdf)
- (Nearly) Complete overview of Primary Mathematics (K. Kubota, Kentucky)
- Chris Pope's lecture notes: Methods 1 Methods 2
- The complex plane, Cauchy theorems and contour integration.
Classical Mechanics
- An intermediate level course on Analytical Classical Dynamics by R. Fitzpatrick, Univ. of Texas, Austin
- A good set of Lecture notes from Harvard (note that the latest course requires a password but the older ones are freely accessible)
- A short course on Classical Mechanics by Prof. J. J. Binney
Optics
Statistical Mechanics & Thermodynamics
- The course “Statistical Mechanics” by Alfred Huan
- Prof. Kelly’s lecture notes on Statistical Physics
- Gould/Tobochnik lecture notes
- Intermediate level course on Statistical Mechanics by R. Fitzpatrick
Electronics
Electromagnetism
- Electromagnetism by James Sparks
- Notes on Classical Electromagnetism by R. Fritzpatrick
- Bo Thide’s EM Field theory text(advanced)
- Worked out exercises from Jackson’s book: Selection 1 / Selection 2
Computational Physics
- Mathematica for Students of Science by James Kelly
- Angus MacKinnon, Computational Physics
- Prof. Mathews’ projects on Numerical Analysis
Quantum Mechanics (non-relativism)
- Introduction to QM and special relativity: Michael Fowler
- Niels Walet lecture course on QM (Manchester)
- Lecture Notes on QM from MIT: Undergraduate / Graduate
- James Branson, Quantum Physics (UCSD)
Atoms & Molecules
- Notes on General Quantum Chemistry from Georgiatech
- Lecture notes on Physical Chemistry by Darin J. Ulness
Solid State Physics
- An introduction to Solid State Physics by Yuri M. Galperin
- A course in Solid State Physics by Mark Jarrell
- Solid State Physics: notes by Chetan Nayak (UCLA)
Nuclear Physics
Plasma Physics
Advanced Mathematics
- See John Heinbockel, Virginia.
- See Chr. Pope: Methods2.
- Mathematics textbooks list. (Link not working; working on finding an alternative)
- G.’t Hooft: Lie groups in Physics, (now also in English) + exercises.
- For Lie Groups, see also the last section of Chr. Pope’s lectures (under “General Relativity”).
- The special functions and polynomials(PDF) (just understand the principles).
Special Relativity
- Peter Dunsby’s lecture course on tensors and special relativity
- Prof. Firk’s book on Special Relativity
Advanced Quantum Mechanics
- Prof. Stringari’s course on Ultracold Fluids.
- Introduction to the Quantum Hall effect by A.H. MacDonald
- Introduction to Coherent States and Quantum Information Theory by K. Fujii
- Tutorial on Quantum information by Peter Zoller
- Intoduction to Quantum Computation by A. Chatterjee
- Advanced QM by Freeman J. Dyson
- K. Schulten’s notes on advanced QM
- James Branson, Advanced Quantum Theory
Phenomenology
General Relativity
- Introduction + exercises by G. ‘t Hooft
- Sean M. Carrol’s lecture notes on GR
- Chr. Pope, Geometry and Group Theory, PDF