Species Dominance, Artilects, Artilect War, Cosmists, Terrans, Gigadeath, Essays, Media, etc

“deGarisMPC” (MathPhysComp) LIST of 200 Ms, PhD YouTube LECTURE COURSES to be VIDEOED over the NEXT 20-30 YEARS

 “deGarisMPC” (MathPhysComp) LIST of 200 Masters, PhD Level YouTube LECTURE COURSES to be VIDEOED over the NEXT 20-30 YEARS

It will be 4 years since I have videoed any deGarisMPC YouTube lecture courses. In the meantime I have been making an e-library, and annotating my paper library, as well as studying texts for future courses in pure math and math physics. I will finish annotating my paper library by the end of 2016, and will then spend a few months finishing adding links to my e-library.

So I started to think about making YouTube lecture videos again, and will do this for the remainder of my life which I hope may be 20-30 more years if I can stay healthy. My father is 97 in 2016, and I think I have his longevity genes.

I started thinking in more detail about the actual courses in the whole deGarisMPC YouTube lecture course series, and their “pre-requisites” and “post-requisites.” This page gives a list of the (~200) courses I will make lecture videos on, their titles, their course numbers, their levels (e.g. M2, PhD1, etc), the number of pages in the text, the text author(s), their pre-requisites, their post-requisites, and appropriate links. These courses are listed according to topic (e.g. Pure Math, Math Physics, etc) and subtopics. For a list of courses listed in the time order in which I plan to make them, i.e. by course number, click (here).

Sobering Thought : As I was making this list of lecture courses I’d like to make videos on, the thought occurred to me that there is a real possibility that I will run out of life before I finish it. Sobering. Can I video these ~200 courses in 20-30 years?

My Legacy : When you reach my age (nearly 70) you are very conscious that there’s not a lot of one’s life left, so you tend to reflect on what legacy you will leave. My legacy is as a globacator (global educator) with these YouTube lecture courses (around 200 of them, if I can live long enough to finish them?!)  I envisage once I’m gone, there will be very smart young students, 30 years from now, who spend their time getting their teeth into some real intellectual meat, that these deGarisMPC courses are designed to provide (i.e. free PhD level lecture courses in Pure Math and Math Physics, plus some Computer Theory thrown in.)

As a young man I hated living in a peakered society, in which the sages weren’t catered to and were ignored. These lecture courses are aimed at young and not so young sages, giving you intellectual meat at your level, so that you feel less oppressed by a peakered culture, full of middle browed peakers (people whose abilities place them in the peak of the IQ Bell curve) whose peakery (e.g. Hollywood movies, pop songs, sports, TV, etc.) utterly bores and alienates you as the sages that you are.

What keeps me making these video courses, is the thought that decades from now, there may be 1000s (millions?) of sage students around the world, who use these courses to teach themselves PhD level pure math and math physics. They will know that the material is “all under one roof” and fairly comprehensive. If they really study all these courses, they will end up experts in pure math and math physics at PhD level, and all  for FREE, which is my goal.

Courses Lists : Two lists of courses now follow. The first is a topics list. The second is a list of courses per topic – one line per course. For details on course dependencies click (here).

Still too Many Courses : When I first thought of doing “deGarisMPC” I dreamt up a  list of 600 courses. That was before I had any idea how long each one took, even videoing daily. My second attempt knocked that down to 200. My first 3 courses, corresponding to a total of 592 text book pages lectured, took me 176 days of videoing, i.e. 3.4 text book pages on average of videoing per day. In these 200 courses, there is a total of 65750 text book pages, which works out at about 19,340 days total of videoing, i.e. roughly 53 years, which is way more than 30, which is the upper limit of my life expectancy, so obviously, I will need to cut back drastically again with my third attempt. These first two attempts will become historical links in the third list of “deGarisMPC” courses.

In this third attempt I will probably provide about 100 courses, that will take me about 20 years, which is more realistic than 30 years, because only one person in 10,000 reaches 100, despite my near centenarian father. I will eliminate large text books, throw out peripheral topics, throw out near repeats, etc. I have to be realistic and satisfy the time constraints. Stay tuned for a third list of “deGarisMPC” courses. It should be up shortly.








































“Introduction to Linear Algebra,” 4, Jun-Sen, Lang, 290pp  (link);

“Undergraduate Algebra,” 5, Sen-M1, Lang, 360pp  (link);

“Basic Abstract Algebra,” 8, M1, Ash, 400pp  (link);

“Algebra : A Graduate Course,” 88, M2, Isaacs, 500pp  (link);

“Commutative Algebra, Vol. 1,” 105, M2, Zariski, Samuel, 320pp  (link);

“Categories for the Working Mathematician,” 109, M2, MacLane, 290pp  (link);

“Commutative Algebra, Vol. 2,” 111, M2, Zariski, Samuel, 410pp  (link);

“A Taste of Jordan Algebras,” 144, PhD1, McCrimmon, 540pp  (link);

“An Introduction to Nonassociative Algebras,” 146, PhD1, Schafer, 150pp  (link);

“Introduction to Homological Algebra,” 151, PhD1, Weibel, 430pp  (link);


“Introduction to Real Analysis,”  15, Jun-Sen, Stoll, 540pp  (link);

“Complex Variables and Applications,” 28, Sen-M1, Brown, Churchill, 380pp  (link);

“A Primer of Analytic Number Theory,” 29, Sen-M1, Stopple, 370pp  (link);

“Measure Theory ,” 129, M2, Doob, 200pp  (link);


“Introduction to Field Theory,” 31, Sen-M1, Adamson, 170pp  (link);

“Introduction to Cyclotomic Fields,” 117, M2, Washington, 420pp  (link);


“Simple Groups of Lie Type,” 131, M2, Carter, 310pp  (link);

“Finite Groups,” 135, PhD1, Gorenstein, 500pp  (link);

“Sporadic Groups,” 137, PhD1, Aschbacher, 300pp  (link);

“Finite Simple Groups : An Introduction to their Classification,” 159, PhD1, Gorenstein, 310pp  (link);

“The Classification of Finite Simple Groups, Vol. 1 : Groups of Noncharacteristic 2 Type,” 161, PhD1, Gorenstein, 470pp  (link);

“The Classification of Finite Simple Groups : Vol. 2, Groups of Characteristic 2 Type,” 163, PhD2, Aschbacher et al, 310pp  (link);

“The Local Structure of Finite Groups of Characteristic 2 Type,” 166, PhD2, Gorenstein, Lyons, 720pp  (link);

“The Classification of the Finite Simple Groups : Vol. 1, Overview, Outline of Proof,” 168, PhD2, Gorenstein, Lyons, Solomon, 140pp  (link);

“The Classification of the Finite Simple Groups : Vol. 2, General Group Theory,” 170, PhD2, Gorenstein, Lyons, Solomon, 200pp (link);

“The Classification of the Finite Simple Groups : Vol. 3, Almost Simple K-Groups,” 172, PhD2, Gorenstein, Lyons, Solomon, 400pp  (link);

“The Classification of the Finite Simple Groups : Vol. 4, Uniqueness Theorems,” 174, PhD2,  Gorenstein, Lyons, Solomon, 330pp (link);

“The Classification of the Finite Simple Groups : Vol. 5, The Generic Case,” 176, PhD2, Gorenstein, Lyons, Solomon, 460pp  (link);

“The Classification of the Finite Simple Groups : Vol. 6, The Special Odd Case,” 178, PhD2,  Gorenstein, Lyons, Solomon, 520pp  (link);

“Twelve Sporadic Groups,” 180, PhD2, Griess, 150pp  (link);

“Theory of Finite Simple Groups,” 183, PhD2, Michler, 640pp  (link);

“Theory of Finite Simple Groups II, Commentary on the Classification Problems,” 185, PhD2, Michler, 720pp  (link);

“The Finite Simple Groups,” 186, PhD2, Wilson, 280pp  (link);

“Vertex Operator Algebras and the Monster,” 187, PhD2, Frenkel et al, 480pp  (link);

“Moonshine Beyond the Monster : The Bridge Connecting Algebra, Modular Forms and Physics, 188, PhD2, Gannon, 430pp  (link);

“Geometry of Sporadic Groups,” 190, PhD2, Ivanov, 400pp  (link);


“Differential Geometry,” 21, Sen-M1, Lipschutz, 270pp  (link);

“Hyperbolic Geometry,”  30, Sen-M1, Anderson, 220pp  (link);

“Undergraduate Algebraic Geometry,” 54, M1, Reid, 130pp  (link);

“Algebraic Geometry : A First Course,” 69, M1, Harris, 310pp  (link);

“Modern Differential Geometry for Physicists,” 76, M2, Isham, 280pp  (link);

“An Invitation to Algebraic Geometry,”  104, M2, Smith et al, 150pp  (link);

“Algebraic Geometry,” 107, M2, Hartshorne, 460pp  (link);


“Mathematical Groups,” 1, Jun-Sen, Barnard, Neill, 220pp  (link);  (videolink);

“A Course in Group Theory,” 6, Sen-M1, Humphreys, 270pp  (link);

“Representations and Characters of Groups,” 13, M1,  James, Liebeck, 410pp  (link);

“Galois Theory,”  33, Sen-M1, Rotman, 150pp  (link);

“A Course in the Theory of Groups,” 71, M2, Robinson, 460pp  (link);

“The Theory of Finite Groups : An Introduction,” 81, M2,  Kurzweil, Stellmacher, 370pp  (link);

“Character Theory of Finite Groups,” 92, M2, Isaacs, 290pp  (link);

“Finite Group Theory,” 127, PhD1, Aschbacher, 270pp  (link);

“Quantum Groups,” 142, PhD1, Kassel, 500pp  (link);


“Knots and Links,” 40, Sen-M1, Cromwell, 310pp  (link);

“Formal Knot Theory,” 47, M1, Kauffman, 250pp  (link);

“An Introduction to Knot Theory,” 51, M1, Lickorish, 190pp  (link);

“Knots and Physics,” 74, M2, Kauffman, 770pp  (link);


“Matrix Groups : An Introduction to Lie Group Theory,” 36, M1, Baker, 320pp  (link);

“Quantum Mechanics : Symmetries,” 46, M1, Greiner, Muller, 360pp  (link);

“Lie Algebras in Particle Physics,” 50, M1, Georgi, 310pp  (link);

“The Lie Algebras su(N) : An Introduction,” 56, M1, Pfeifer, 110pp  (link);

“Lie Groups : An Introduction through Linear Groups,” 58, M1, Rossman, 260pp  (link);

“Lie Groups, Lie Algebras,” 60, M1, Hausner, Schwartz,  230pp  (link);

“Semi-Simple Lie Algebras and their Representations,” 62, M1, Cahn, 150pp  (link);

“Introduction to Lie Groups and Lie Algebras,” 64, M1, Sagle, Walde, 350pp  (link);

“Introduction to Lie Algebras and Representation Theory,”  78, M2, Humphreys, 170pp  (link);

“Foundations of Differentiable Manifolds and Lie Groups,” 90, M2, Warner, 260pp  (link);

“Lie Groups, Lie Algebras, and their Representations,” 94, M2, Varadarajan, 420pp  (link)

“Representation Theory : A First Course,” 99, M2, Fulton, Harris, 540pp  (link);

“Symmetries, Lie Algebras and Representations : A Graduate Course for Physicists,” 102, M2, Fuchs, Schweigert, 420pp  (link);

“Infinite Dimensional Lie Algebras,” 133, PhD1, Kac, 350pp  (link);

“Group Theory : Birdtracks, Lie’s, and Exceptional Groups,” 139, PhD1, Cvitanovic, 250pp  (link);


“Gödel’s Proof,” 11, Jun-Sen, Nagel, Newman, 145pp  (link);

“Engines of Logic,” 19, Jun-Sen, Davis, 240pp  (link);

“Meta Math! The Quest for Omega,” 38, Sen-M1, Chaitin, 200pp  (link);

“What is Mathematical Logic?”  39, Sen-M1, Crossley, 80pp  (link);

“Introduction to Mathematical Logic,” 41, Sen-M1, Mendelson, 270pp  (link);

“Logic for Mathematicians,” 45, M1, Hamilton, 220pp  (link);

“On Formally Undecidable Propositions of Principia Mathematica and Related Systems,” 149, PhD1, Godel, 70pp  (link);


“An Introduction to Differentiable Manifolds and Riemannian Geometry,” 61, M1, Boothby, 400pp  (link);

“Introduction to Smooth Manifolds,” 85, M2, Lee, 600pp  (link);

“Riemann Surfaces,” 114, M2, Farkas, Kra, 350pp  (link);

“Introduction to Riemann Surfaces,” 120, M2, Springer, 300pp   (link);

“From Holomorphic Functions to Complex Manifolds,” 122, M2, Fritzsche, Grauert, 370pp  (link);

“An Invitation to Morse Theory,” 124, M2, Nicolaescu, 230pp  (link);

“Knots, Links, Braids and 3-Manifolds : An Introduction to the New Invariants in Low-Dimensional Topology,” 153, PhD1, Prasolov, Sossinsky, 230pp  (link);

“Topology of 4-Manifolds,” 155, PhD1, Freedman, Quinn, 250pp  (link);

“Calabi-Yau Manifolds and Related Geometries,” 157, PhD1, Gross et al, 230pp  (link);

“The Geometry of Four-Manifolds, 164, PhD2, Donaldson, Kronheimer, 430pp  (link);

“The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds,” 189, PhD2, Morgan, 130pp  (link);

“Notes on Seiberg-Witten Theory,” 191, PhD2, Nicolaescu, 470pp  (link);

“Monopoles and Three-Manifolds,” 192, PhD2,  Kronheimer, Mrowka, 780pp  (link);


“Rings and Ideals, ” 34, Sen-M1, McCoy, 210pp  (link);

“A First Course in Noncommutative Rings,” 123, M2, Lam, 380pp  (link);

“Noncommutative Rings,” 125, M2, Herstein, 190pp  (link);


“Naïve Set Theory,” 9, Jun-Sen, Halmos, 100pp  (link);

“The Theory of Sets and Transfinite Numbers,” 20, Sen-M1,  Rotman, Kneebone, 130pp  (link);


“Basic Topology,” 24, Sen-M1, Armstrong, 240pp  (link);

“General Topology,” 26, Sen-M1, Lipschutz, 230pp  (link);

“General Topology,” 48, M1, Kelley, 280pp  (link);

“Topology,” 53, M1, Munkres, 520pp  (link);

“Algebraic Topology : A First Course,” 59, M1, Fulton, 420pp  (link);

“An Introduction to Algebraic Topology,” 63, M1, Wallace, 200pp  (link);

“An Introduction to Algebraic Topology,”  65, M1, Rotman, 420pp  (link);

“Differential Topology First Steps,” 67, M1, Wallace, 130pp  (link);

“Introduction to Topological Manifolds,” 68, M1, Lee, 360pp  (link);

“Algebraic Topology : Homology & Cohomology,” 116, M2, Wallace, 270pp  (link);



“Classical Electrodynamics,” 12, Sen, Greiner, 550pp  (link);

“Classical Mechanics,” 43, M1, Goldstein, 370pp  (link);


“The Physics of Stars,” 37, Sen-M1, Phillips, 200pp  (link);

“Cosmology,” 171, PhD1, Weinberg, 570pp  (link);


“The Meaning of Quantum Theory,” 72, M1-M2, Baggott, 220pp  (link);

Conceptual Foundations of Quantum Mechanics,” 73b, M2, d’Espagnat, 350pp  (link);

“Philosophical Consequences of Quantum Theory : Reflections on Bell’s Theorem,” 77, M2, Cushing, 300pp  (link);

“Quantum Paradoxes : Quantum Theory for the Perplexed,”  80, M2, Aharonov, 290pp  (link);

“Quantum Mechanics : Historical Contingency and the Copenhagen Hegemony,” 84, M2, Cushing, 270pp  (link);

“The Einstein, Podolsky, and Rosen Paradox in Atomic, Nuclear and Particle Physics,” 86, M2, Afriat, 240pp  (link);

“Quantum Paradoxes and Physical Reality,” 89, M2, Selleri, 360pp  (link);

“Testing Quantum Mechanics on New Ground,” 96, M2, Ghose, 180pp   (link);

“Understanding Quantum Mechanics,” 98, M2, Omnes, 300pp  (link);

“Beyond Measure : Modern Physics, Philosophy and the Meaning of Quantum Theory,” 101, M2, Baggott, 360pp  (link);

“The Quantum Challenge : Modern Research on the Foundations of Quantum Mechanics,” 103, M2, Greenstein, 210pp  (link);

“Wave-Particle Duality,” 108, M2, Selleri, 300pp  (link);

“Nonlocality in Quantum Physics,” 112, M2, Grib, 220pp  (link);

“Speakable and Unspeakable in Quantum Mechanics,” 115, M2, Bell, 210pp  (link);

“Quantum Measurement of a Single System,” 119, M2, Alter, 120pp  (link);


“Vector Calculus,” 7, Jun, Matthews, 180pp  (link);

“Differential Forms, A Complement to Vector Calculus,” 17, Sen-M1, Weintraub, 240pp  (link);

“Tensor Calculus,” 22, Sen-M1, Kay, 220pp  (link);

“Differential Forms and Connections,” 83, M2, Darling, 250pp  (link);

“Spinors in Physics,” 97, M2, Hladik, 220pp  (link);

“Topics in Contemporary Mathematical Physics,” 118, M2, Lam, 580pp  (link);

“Geometry, Topology and Physics,” 121, M2, Nakahara, 490pp  (link);


“Introduction to High Energy Physics,” 14, Sen-M1, Perkins, 410pp  (link);

“The Ideas of Particle Physics,” 55, M1, Coughlan, Dodd, 240pp  (link);

“Particle Physics : A Comprehensive Introduction,” 91, M2, Seiden, 450pp  (link);

“An Introduction to the Standard Model of Particle Physics,” 95, M2, Cottingham, Greenwood, 230pp  (link);

“Gauge Theories in Particle Physics,” 110, M2, Aitchison, Hey, 550pp  (link);

“Gauge Theory of Elementary Particle Physics,” 113, M2, Cheng, Li, 510pp  (link);

“Journeys Beyond the Standard Model,” 126, PhD1, Ramond, 360pp  (link);

“Nuclear Models,” 130, M2, Greiner, Maruhn, 360pp  (link);

“Quarks, Leptons & Gauge Fields,” 160, PhD1, Huang, 330pp  (link);

“Fields, Symmetries, and Quarks,” 162, PhD1, Mosel, 300pp  (link);

“The Theory of Quark and Gluon Interactions,” 165, PhD1, Yndurain, 390pp  (link);

“Unification and Supersymmetry : The Frontiers of Quark-Lepton Physics,” 167, PhD1, Mohapatra, 410pp  (link);


“Quantum Mechanics,” 2, Sen, Davies, Betts, 170pp  (link);  (videolink);

“Quantum Mechanics,” 16, M1, Mandl, 290pp  (link);

“Relativistic Quantum Mechanics : Wave Equations,” 49, M1, Greiner, 340pp  (link);


“QED : The Strange Theory of Light and Matter,”  18, Jun-Sen, Feynman, 150pp  (link);

“Quantum Field Theory Demystified,”  35, Sen-M1, McMahon, 280pp  (link);

“Field Quantization,” 44, M1, Greiner, Reinhardt, 430pp  (link);

“Quantum Electrodynamics”  52, M1, Greiner, Reinhardt, 300pp  (link);

“Quantum Field Theory,” 70, M2, Mandl, Shaw, 350pp  (link);

“Gauge Theory of Weak Interactions,” 82, M2, Greiner, Muller, 300pp  (link);

“Quantum Chromodynamics,” 87, M2, Greiner et al, 550pp  (link);

“Introduction to Gauge Field Theory,” 106, M2, Bailin, Love, 360pp  (link);

“Conformal Field Theory,” 145, PhD1, di Francesco et al, 860pp  (link);

“Renormalization : An Introduction,” 154, PhD1, Salmhofer, 220pp  (link);

“Quantum Gauge Theories : A True Ghost Story,” 156, PhD1, Scharf, 240pp  (link);

“Gauge Field Theories,” 158, PhD1, Frampton, 330pp  (link);

“Differential Topology and Quantum Field Theory,” 173, PhD2, Nash, 360pp  (link);


“Special Relativity,” 10, Jun-Sen, French, 270pp  (link);

“Relativity Demystified,” 25, Sen-M1, McMahon, 330pp  (link);

“A Short Course in General Relativity,” 42, M1, Foster, Nightingale, 220pp  (link);

“Introduction to the Theory of Relativity,” 79, M2, Bergmann, Einstein, 300pp  (link);

“Lorentzian Wormholes : From Einstein to Hawking,” 100, M2, Visser, 370pp  (link);

“Black Hole Physics : Basic Concepts and New Developments,” 169, PhD1, Frolov, Novikov, 710pp  (link);


“Statistical Mechanics : An Introduction,” 23, Jun-Sen, Trevena, 140pp  (link);

“Statistical Physics,” 27, Sen-M1, Mandl, 370pp  (link);


“A First Course in String Theory,” 57, M1, Zwiebach, 550pp  (link);

“String Theory Demystified,” 140, M2-PhD1, McMahon, 290pp  (link);

“Supersymmetry and String Theory : Beyond the Standard Model,” 141, PhD1, Dine, 500pp  (link);

“Supersymmetric Gauge Field Theory and String Theory,” 143, PhD1, Bailin, Love, 320pp  (link);

“String Theory : Vol. 1, An Introduction to the Bosonic String,” 147, PhD1, Polchinski, 360pp  (link);

“String Theory : Vol. 2, Superstring Theory and Beyond,” 150, PhD1, Polchinski, 510pp  (link);

“Introduction to Superstrings and M-Theory,” 152, PhD1, Kaku, , 580pp  (link);

“Strings, Conformal Fields, and M-Theory,” 177, PhD2, Kaku, 520pp  (link);

“D-Branes,” 179, PhD2, Johnson, 510pp  (link);

“Gravity and Strings,” 181, PhD2, Ortin, 650pp  (link);

“Quantum Gravity,” 182, PhD2, Rovelli, 420pp  (link);

“String Theory and M-Theory : A Modern Introduction,” 184, PhD2, Becker, 690pp  (link);


“Supersymmetry Demystified,” 128, M2, Labelle, 410pp  (link);

“Supersymmetry in Particle Physics,” 132, PhD1, Aitchison, 210pp  (link);

“Supersymmetry for Mathematicians : An Introduction,” 134, PhD1, Varadarajan, 300pp  (link);

“Introduction to Supersymmetry,” 136, PhD1, Freund, 140pp  (link);

“Five Lectures on Supersymmetry,” 138, PhD1, Freed, 110pp  (link);

“Supersymmetry and Supergravity,” 175, PhD2, Wess, Bagger, 260pp  (link);


“Frobenius Algebras and 2D Topological Quantum Field Theories,” 193, PhD2, Kock, 230pp  (link);

“Topological Quantum Field Theory and Four Manifolds,” 194, PhD2, 210pp  Labastida  (link);



“Complexity Theory,” 93, M2, Wegener, 290pp  (link);


“Introduction to the Theory of Computation,” 3, Sen-M1, Sipser, 420pp  (link);  (videolink);

“Computation : Finite and Infinite Machines,” 32, Sen-M1, Minsky, 300pp  (link);

“Computability and Solvability,” 66, M1, Davis, 230pp  (link);

“Computability, Complexity, and Languages : Fundamentals of Theoretical Computer Science,” 73, M1-M2, Davis et al, 590pp  (link);

“Computability,” 148, PhD1, Tourlakis, 550pp  (link);


“Quantum Computing : A Short Course from Theory to Experiment,” 75, M1, Stolze, Suter, 220pp  (link);

“Topological Quantum Computation,” 195, PhD2, Wang, 110pp  (link);

“Introduction to Topological Quantum Computation,” 196, PhD, Pachos, 200pp  (link);






%d bloggers like this: