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“deGarisMPC” (MathPhysComp) ~120 Ms, PhD Level (FULL TEXT) YouTube LECTURE COURSES BEING VIDEOED OVER THE NEXT 25 YEARS

 

“deGarisMPC” (MathPhysComp) ~120 Ms, PhD Level (FULL TEXT) YouTube LECTURE COURSES BEING VIDEOED OVER THE NEXT 25 YEARS

FOR A LIST OF THESE ~120 “deGarisMPC” (MathPhysComp) Ms and PhD LEVEL YOUTUBE LECTURE VIDEO COURSES WITH (full text) I.E. “FULL CONTENT” LINKS TO THEIR ACCOMPANYING TEXT BOOKS, CLICK (here).

It will be 4 years since I have videoed any “deGarisMPC” (MathPhysComp) 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” (MathPhysComp) YouTube lecture course series, and their “pre-requisites” and “post-requisites.” This page gives a list of the (~120) 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 ~120 courses in 25 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 120 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 ” (MathPhysComp) courses are designed to provide (i.e. free Ms and 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).

Too Many Courses in the 2 Previous Lists : When I first thought of doing “deGarisMPC” (MathPhysComp) 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 those 200 courses, there was a total of 65750 text book pages, which worked 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 had to cut back drastically again in my third attempt. These first two attempts are now historical links that can be seen (here) for the first list, and (here) for the second list.

There are about 120 YouTube Lecture Courses in this third “deGarisMPC” (MathPhysComp) list (a few of which have already been videoed and uploaded to YouTube). It will take me about 25 years to video them all,  at the above rate of about 3.4 text pages per day of videoing, which is more realistic than the second attempt.



“deGarisMPC” TOPICS LIST OF COURSES


PURE MATH

     ABSTRACT ALGEBRA

     ANALYSIS

     FIELD THEORY

     FINITE SIMPLE GROUPS

     GEOMETRY

     GROUP THEORY

     KNOT THEORY

     LIE THEORY

     LOGIC

     MANIFOLDS

     RINGS

     SET THEORY

     TOPOLOGY

MATH(EMATICAL)  PHYSICS

     CLASSICAL PHYSICS

     INTERPRETATION OF QUANTUM MECHANICS

     MATH METHODS

     PARTICLE PHYSICS

     QUANTUM MECHANICS

     QUANTUM FIELD THEORY

     RELATIVITY

     STATISTICAL MECHANICS

     STRING THEORY

     SUPERSYMMETRY (SUSY)

     TOPOLOGICAL QUANTUM FIELD THEORY (TQFT)

COMPUTER THEORY

     COMPLEXITY THEORY

     THEORY OF COMPUTATION

     TOPOLOGICAL QUANTUM COMPUTING (TQC)


“deGarisMPC” COURSES LIST PER TOPIC


PURE MATH

ABSTRACT ALGEBRA

Course 4 : “Linear Algebra,” 4, Jun-Sen, Lipschutz, Lipson, 420pp  (link), (full text);

Course 5 : “Undergraduate Algebra,” 5, Sen-M1, Lang, 360pp  (link), (full text tick selected book then download);

Course 11 : “Basic Abstract Algebra,” 11, M1, Ash, 400pp  (link), (full text);

Course 66 : “Algebra : A Graduate Course,” 66, M2, Isaacs, 500pp  (link), (free), (full text);

Course 71 : “Commutative Algebra, Vol. 1,” 71, M2, Zariski, Samuel, 320pp  (link), (full text find book, then download);

Course 73 : “Categories for the Working Mathematician,” 73, M2, MacLane, 290pp  (link), (full text);

Course 91 : “An Introduction to Nonassociative Algebras,” 91, PhD1, Schafer, 150pp  (link), (free), (free), (free), (free), (partial text);

ANALYSIS

Course 6 : “Vector Analysis,” 6, Jun, Spiegel, 235pp  (link), (free), (free), (full text) click on xa.yimg.com;

Course 7 : “Fourier Analysis with Applications to Boundary Value Problems,” 7, Jun-Sen, Spiegel, 180pp  (link), (full text);

Course 8 : “Understanding Analysis,” 8, Jun-Sen, Abbott, 250pp (link), (full text tick selected book then download);

Course 27 : “Complex Variables and Applications,” 27, Sen-M1, Brown, Churchill, 380pp  (link), (full text);

Course 83 : “Measure Theory ,” 83, M2, Doob, 200pp  (link), (free), (free), (free), (full text);

FIELD THEORY

Course 30 : “Introduction to Field Theory,” 30, Sen-M1, Adamson, 170pp  (link), (full text);

FINITE SIMPLE GROUPS

Course 84 : “Simple Groups of Lie Type,” 84, M2, Carter, 310pp  (link), (free), (full text find book then download);

Course 88 : “Finite Groups,” 88, PhD1, Gorenstein, 500pp  (link), (free), (free), (full text find book, then download);

Course 89 : “Sporadic Groups,” 89, PhD1, Aschbacher, 300pp  (link), (free), (free), (free), (free), (free), (free), (free), (free);

Course 99 : “Finite Simple Groups : An Introduction to their Classification,” 99, PhD1, Gorenstein, 310pp  (link), (free), (free), (free), (free), (free), (free), (free), (free), (free), (free), (free), (free), (free), (free), (free), (free), (free), (free), (free), (free), (free), (free), (free);

Course 100 : “The Classification of Finite Simple Groups, Vol. 1 : Groups of Noncharacteristic 2 Type,” 100, PhD1, Gorenstein, 470pp  (link), (free), (free);

Course 101 : “The Classification of Finite Simple Groups : Vol. 2, Groups of Characteristic 2 Type,” 101, PhD2, Aschbacher et al, 310pp  (link), (free), (free), (free), (free), (free), (free), (free);

Course 102 : “The Classification of Quasithin Groups” 102, PhD2, Aschbacher, Smith, 1220pp  (link1), (link2), (free), (free), (full text);

Course 104 : “The Local Structure of Finite Groups of Characteristic 2 Type,” 104, PhD2, Gorenstein, Lyons, 720pp  (link), (free), (free);

Course 105 : “The Classification of the Finite Simple Groups : Vol. 1, Overview, Outline of Proof,” 105, PhD2, Gorenstein, Lyons, Solomon, 140pp  (link), (full text find book, then download);

Course 106 : “The Classification of the Finite Simple Groups : Vol. 2, General Group Theory,” 106, PhD2, Gorenstein, Lyons, Solomon, 200pp (link), (full text find book, then download);

Course 107 : “The Classification of the Finite Simple Groups : Vol. 3, Almost Simple K-Groups,” 107, PhD2, Gorenstein, Lyons, Solomon, 400pp  (link);

Course 109 : “The Classification of the Finite Simple Groups : Vol. 4, Uniqueness Theorems,” 109, PhD2,  Gorenstein, Lyons, Solomon, 330pp (link);

Course 111 : “The Classification of the Finite Simple Groups : Vol. 5, The Generic Case,” 111, PhD2, Gorenstein, Lyons, Solomon, 460pp  (link);

Course 112 : “The Classification of the Finite Simple Groups : Vol. 6, The Special Odd Case,” 112, PhD2,  Gorenstein, Lyons, Solomon, 520pp  (link), (free);

Course 119 : “Vertex Operator Algebras and the Monster,” 119, PhD2, Frenkel et al, 480pp (link), (free), (free), (free), (free), (free), (free), (free), (free);

Course 120 : “Moonshine beyond the Monster : The Bridge Connecting Algebra, Modular Forms and Physics,” 120, PhD2, Gannon, 430pp (link), (free), (free), (free), (free);

GEOMETRY

Course 22  : “Differential Geometry of Curves and Surfaces,” 22, Sen-M1, do Carmo, 500pp  (link), (free), (free), (free), (free), (full text);

Course 29 : “Hyperbolic Geometry,”  29, Sen-M1, Anderson, 220pp  (link), (free), (free), (free), (full text);

Course 47 : “Undergraduate Algebraic Geometry,” 47, M1, Reid, 130pp  (link), (full text);

Course 56 : “Algebraic Geometry : A First Course,” 56, M1, Harris, 310pp  (link), (full text);

Course 61 : “Modern Differential Geometry for Physicists,” 61, M2, Isham, 280pp  (link), (full text);

Course 70 : “An Invitation to Algebraic Geometry,”  70, M2, Smith et al, 150pp  (link), (free), (full text);

Course 72 : “Algebraic Geometry,” 72, M2, Hartshorne, 460pp  (link), (full text);

GROUP THEORY

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

Course 9 : “A Course in Group Theory,” 9, Sen-M1, Humphreys, 270pp  (link), (free), (free), (free), (free), (close to full text);

Course 15 : “Representations and Characters of Groups,” 15, M1,  James, Liebeck, 410pp  (link), (full text);

Course 31 : “Groups and Representations,” 31, M1, Alperin, Bell, 180pp  (link), (full text);

Course 32 : “Galois Theory,”  32, Sen-M1, Rotman, 150pp  (link), (full text);

Course 58 : “A Course in the Theory of Groups,” 58, M2, Robinson, 460pp  (link), (full text find book then download);

Course 63 : “The Theory of Finite Groups : An Introduction,” 63, M2,  Kurzweil, Stellmacher, 370pp  (link), (full text);

Course 67 : “Character Theory of Finite Groups,” 67, M2, Isaacs, 290pp  (link), (free), (free), (full text find book, then download);

Course 82 : “Finite Group Theory,” 82, PhD1, Aschbacher, 270pp  (link), (full text);

KNOT THEORY

Course 44 : “Introduction to Knot Theory,” 44, M1, Crowell, Fox, 160pp  (link), (free), (full text);

LIE THEORY

Course 34 : “Matrix Groups : An Introduction to Lie Group Theory,” 34, M1, Baker, 320pp  (link), (free), (free), (free), (free), (approx. full text);

Course 41 : “Quantum Mechanics : Symmetries,” 41, M1, Greiner, Muller, 360pp  (link), (full text);

Course 43 : “Lie Algebras in Particle Physics,” 43, M1, Georgi, 310pp  (link), (full text);

Course 49 : “The Lie Algebras su(N) : An Introduction,” 49, M1, Pfeifer, 110pp  (link), (full text);

Course 51 : “Lie Groups, Lie Algebras, and Representations : An Elementary Introduction ” 51, M1, Hall, 350pp  (link), (free), (free), (free), (free), (full text);

Course 52 : “Introduction to Lie Groups and Lie Algebras,” 52, M1, Sagle, Walde,  350pp  (link), (free), (full text);

LOGIC

Course 14 : “Gödel’s Proof,” 14, Jun-Sen, Nagel, Newman, 145pp  (link), (full text);

Course 20 : “Engines of Logic,” 20, Jun-Sen, Davis, 240pp  (link), (free), (free), (free), (free), (free), (free), (free), (free);

Course 40 : “Logic for Mathematicians,” 40, M1, Hamilton, 220pp  (link), (full text);

Course 93 : “On Formally Undecidable Propositions of Principia Mathematica and Related Systems,” 93, PhD1, Godel, 70pp  (link), (full text), (full text);

MANIFOLDS

Course 53 : “An Introduction to Differentiable Manifolds and Riemannian Geometry,” 53, M1, Boothby, 400pp  (link), (free), (full text);

Course 77 : “Introduction to Riemann Surfaces,” 77, M2, Springer, 300pp   (link), (free), (free), (free), (full text);

Course 79 : “From Holomorphic Functions to Complex Manifolds,” 79, M2, Fritzsche, Grauert, 370pp  (link), (full text);

Course 80 : “An Invitation to Morse Theory,” 80, M2, Nicolaescu, 230pp  (link), (full text);

Course 95 : “Knots, Links, Braids and 3-Manifolds : An Introduction to the New Invariants in Low-Dimensional Topology,” 95, PhD1, Prasolov, Sossinsky, 230pp  (link), (free), (free), (free), (free), (free), (free);

Course 96 : “The Topology of 4-Manifolds,” 96, PhD1, Kirby, 100pp  (link), (free), (free), (free), (free), (free), (free), (free), (free), (free), (free), (free), (free), (full text);

Course 98 : “Calabi-Yau Manifolds and Related Geometries,” 98, PhD1, Gross et al, 230pp  (link), (free), (free), (free), (free), (free), (free), (free), (free), (free), (free);  {There are many more hits on Google using “Calabi-Yau Manifolds”]

Course 103 : “The Geometry of Four-Manifolds, 103, PhD2, Donaldson, Kronheimer, 430pp  (link), (free), (free), (free), (free), (free), (free), (free), (free);

Course 113 : “The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds,” 113, PhD2, Morgan, 130pp  (link), (free), (partial text);

Course 114 : “Notes on Seiberg-Witten Theory,” 114, PhD2, Nicolaescu, 470pp  (link), (free), (full text);

RINGS

Course 33 : “Fields and Rings, ” 33, M1, Kaplansky, 200pp  (link), (full text);

Course 81 : “Noncommutative Rings,” 81, M2, Herstein, 190pp  (link), (free), (full text find book then download);

SET THEORY

Course 12 : “Naïve Set Theory,” 12, Jun-Sen, Halmos, 100pp  (link), (full text);

Course 21 : “Contributions to the Founding of the Theory of Transfinite Numbers,” 21, M1,  Cantor, 210pp  (link), (free), (full text);

TOPOLOGY

Course 25 : “General Topology,” 25, Sen-M1, Lipschutz, 230pp  (link), (full text);

Course 46 : “Topology,” 46, M1, Munkres, 520pp  (link), (full text);

Course 55 : “Differential Topology,” 55, M1-M2, Hirsch, 220pp  (link), (full text);

Course 76 : “Algebraic Topology,” 76, M2, Hatcher, 320pp  (link), (full text);

MATH(EMATICAL)  PHYSICS

CLASSICAL PHYSICS

Course 10 : “Electromagnetics,” 10, Jun, Edminister, 230pp  (link), (full text);

Course 37 : “Classical Mechanics,” 37, M1, Goldstein, 370pp  (link), (full text);

INTERPRETATION OF QUANTUM MECHANICS

Course 59 : “The Meaning of Quantum Theory,” 59, M1-M2, Baggott, 220pp  (link), (free), (free), (free), (free), (free), (full text);

“Course 74 : “Nonlocality in Quantum Physics,” 74, M2, Grib, 220pp  (link), (free), (free), (free),  (full text);

MATH METHODS

Course 18 : “Differential Forms, A Complement to Vector Calculus,” 18, Sen-M1, Weintraub, 240pp  (link), (free), (full text);

Course 23 : “Tensor Calculus,” 23, Sen-M1, Spain, 120pp  (link), (free), (free), (free), (full text);

Course 78 : “Geometry, Topology and Physics,” 78, M2, Nakahara, 490pp  (link), (full text);

PARTICLE PHYSICS

Course 16 : “Introduction to High Energy Physics,” 16, Sen-M1, Perkins, 410pp  (link), (full text);

Course 48 : “Introduction to Elementary Particles” 48, Sen-M1, Griffiths, 380pp  (link), (free), (free), (full text);

Course 69 : “Weak Interactions and Modern Particle Theory,” 69, M2, Georgi, 180pp  (link), (free), (free), (free), (free), (free), (free), (free), (free), (free), (free), (free), (full text);

Course 75 : “Gauge Theory of Elementary Particle Physics,” 75, M2, Cheng, Li, 510pp  (link), (full text);

QUANTUM MECHANICS

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

Course 17 : “Quantum Mechanics : A Modern and Concise Introductory Course,” 17, M1, Bes, 240pp  (link), (free), (free), (full text);

Course 39 : “Relativistic Quantum Mechanics : Wave Equations,” 39, M1, Greiner, 340pp  (link), (full text);

QUANTUM FIELD THEORY

Course 19 : “QED : The Strange Theory of Light and Matter,”  19, Jun-Sen, Feynman, 150pp  (link), (free), (full text);

Course 42 : “Field Quantization,” 42, M1, Greiner, Reinhardt, 430pp  (link), (full text);

Course  45 : “Quantum Electrodynamics”  45, M1, Greiner, Reinhardt, 300pp  (link), (full text);

Course 57 : “Quantum Field Theory,” 57, M2, Mandl, Shaw, 350pp  (link), (free), (free), (full text);

Course 64 : “Gauge Theory of the Weak Interactions,” 64, M2,  Greiner, Muller, 300pp  (link), (full text massive resource (> 10,000) of full text physics books);

Course 65 : “Quantum Chromodynamics,” 65, M2, Greiner et al, 550pp  (link), (full text);

Course 97 : “Quantum Gauge Theories : A True Ghost Story,” 97, PhD1, Scharf, 240pp  (link), (free), (free), (free), (free);

Course 108 : “Differential Topology and Quantum Field Theory,” 108, PhD2, Nash, 360pp  (link), (full text);

RELATIVITY

Course 13 : “Special Relativity,” 13, Jun-Sen, French, 270pp  (link), (full text);

Course 36 : “A First Course in General Relativity,” 36, M1, Schutz,  380pp  (link), (free), (full text);

Course 62 : “Introducing Einstein’s Relativity,” 62, M1-M2, d’Inverno, 370pp  (link), (free), (free), (free), (full text);

STATISTICAL MECHANICS

Course 24 : “Thermodynamics and Statistical Mechanics,” 24, Jun-Sen, Fitzpatrick, 200pp  (link), (free), (full text);

STRING THEORY

Course 50 : “A First Course in String Theory,” 50, M1, Zwiebach, 550pp  (link), (free), (full text);

Course 90 : “Supersymmetric Gauge Field Theory and String Theory,” 90, PhD1, Bailin, Love, 320pp  (link), (free), (free), (free), (free), (free), (free), (full text);

Course 92 : “String Theory : Vol. 1, An Introduction to the Bosonic String,” 92, PhD1, Polchinski, 360pp  (link), (full text);

Course 94 : “String Theory : Vol. 2, Superstring Theory and Beyond,” 94, PhD1, Polchinski, 510pp  (link), (full text);

SUPERSYMMETRY (SUSY)

Course 85 : “Supersymmetry in Particle Physics,” 85, PhD1, Aitchison, 210pp  (link), (full text);

Course 87 : “Supersymmetry for Mathematicians : An Introduction,” 87, PhD1, Varadarajan, 300pp  (link), (full text);

Course 110 : “Supersymmetry and Supergravity,” 110, PhD2, Wess, Bagger, 260pp  (link), (full text);

TOPOLOGICAL QUANTUM FIELD THEORY (TQFT)

Course 115 : “Frobenius Algebras and 2D Topological Quantum Field Theories,” 115, PhD2, Kock, 230pp  (link), (free), (free), (full text);

Course 116 : “Topological Quantum Field Theory and Four Manifolds,” 116, PhD2, 210pp  Labastida  (link), (free), (free), (free), (free), (free), (free);

COMPUTER THEORY

COMPLEXITY THEORY

Course 68 : “Computability and Complexity : From a Programming Perspective,” 68, M1-M2, Jones, 450pp  (link), (free), (full text);

THEORY OF COMPUTATION

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

Course 54 : “Computability and Logic,” 54, M1, Boolos et al, 350pp  (link), (free), (free), (free), (free), (free), (free), (free), (full text);

 TOPOLOGICAL QUANTUM COMPUTING (TQC)

Course 60 : “An Introduction to Quantum Computing,” 60, M1, Kaye et al, 260pp  (link), (free), (free), (free), (free), (full text);

Course 117 : “Topological Quantum Computation,” 117, PhD2, Wang, 110pp  (link), (free), (full text);

Course 118 : “Introduction to Topological Quantum Computation,” 118, PhD, Pachos, 200pp  (link), (full text);


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