Please use this thread to discuss the Subreddit, any Bibliography that is currently archived, Bibliography External Project Discussion or anything of the sorts. Please do not make requests in the discussion thread.

Hello Everyone,

I'm sad to say that I'm making the hard decision to walk away from this project, and the greater reddit sphere.

I was diagnosed with a few mental and mood disorders and have had a rough 9 months. But I'm getting better and I'm improving, and I need to move on to better things and not feel attached to my old life and goals.

I thank everyone for their support, your grateful comments, and additions to the project.

I hope I've helped at least one person.

Please use this thread to discuss the Subreddit, any Bibliography that is currently archived, Bibliography External Project Discussion or anything of the sorts. Please do not make requests in the discussion thread.

Please use this thread to discuss the Subreddit, any Bibliography that is currently archived, Bibliography External Project Discussion or anything of the sorts. Please do not make requests in the discussion thread.

Please use this thread to discuss the Subreddit, any Bibliography that is currently archived, Bibliography External Project Discussion or anything of the sorts. Please do not make requests in the discussion thread.

Please use this thread to discuss the Subreddit, any Bibliography that is currently archived, Bibliography External Project Discussion or anything of the sorts. Please do not make requests in the discussion thread.

Please use this thread to discuss the Subreddit, any Bibliography that is currently archived, Bibliography External Project Discussion or anything of the sorts. Please do not make requests in the discussion thread.

TL:DR Slight delay in project timeline from this post due to school which comes first. Background work is being focused on more than making publications to prepare for project v.1.0.0.

SEE THIS LINK FOR WHAT'S BEING DONE IN THE BACKGROUND: https://imgur.com/a/RGzkPzT

Hi all,

I apologize for the lack of any updates. I do feel bad but I'm working in the background on the project. School has gotten in the way of the project, and I'm sorry to say that comes first.

I made a small announcement in the discord (it's not active so don't worry about joining) that I felt I should echo here in a different format.

• Sub will not be lost as far as I know.

• 2 new bibs coming out in the next few days after a final review.

• One about grad school process for S.T.E.M. and helpful videos etc. that should begin the second phase of this project and begin to fulfill it's second purpose.

• Second bib will most likely be Probability and Stats but no guarantee if another bib is easier to do a final review.

• Things slowed down a bit and I will most likely not meet the deadline that I put for myself on the post 3 months ago, at least for the Engineering Bibs.

• GitHub Repo of the project is coming along very nicely as well as the JabRef database organization.

• LaTeX document is on hold as I have found out that about 25% of the links in former projects are now dead, and I will be running through these documents and archiving them on wayback machine in order for these bibs to stand the test of time.

• Books are now going to have their ISBN listed on each post/markdown of the documents.

• If you'd like to help out in this regard (update links, attach ISBN information) please let me know and I'll add you to the Github Repo.

• I do want to utilize this discord in the future, but I don't have time to learn how to set things up properly. It is on the bucket list. I like things to be done before announcing them as finished.

• I can't give a solid timeline as I work in sporadic bursts but there is still movement behind the scenes. If you'd like to see what material will be covered in the future, please look at the following link and scroll down to the respective portion. https://old.reddit.com/r/bibliographies/wiki/resources/works-in-progress

Suggestions are always appreciated, please be courteous even though I have not been updating all too often.

I will say this project will essentially be going open-source, barring the .tex code that makes up the LaTeX publication. There is currently a release sitting in the GitHub that will be immediately made available once the project moves to an official v.1.0.0 publication.

I apologize again for no updates in a very long time but I assure you all that updates are happening in the background. I assure you all that the project has not been abandoned again, although the timeline is almost the same since a last update.

As per this Reddit announcement they are removing subs in phase 2.

https://old.reddit.com/r/modnews/comments/o18ct9/creating_new_opportunities_for_future_community/

Phase 2:

Subreddits that meet all of the following will be removed [edited for clarity]:

• Subreddits at least one year old as of 6/15/2021 AND

• Subreddits with 0 posts in the last year (6/15/20 - 6/15/21) AND

• Subreddits with 1-100 posts all time

We will not remove subreddits where the community creator has logged onto the site in the last 30 days (5/16/21 - 6/16/21) (I am not the community creator)

Admins will not clarify on their process, and as this subreddit meets the 1st and 3rd criteria I am planning on the worst as these are the Reddit Admins who don't ever do anything correctly.

I will post the link to the unfinished GitHub Repo and Bibliographies site here shortly once I get word back.

Category Theory is a framework and language for studying objects by their relations to other objects. A lot of modern math is written in the language of category theory, and it has a variety applications in computer science (afaik with homotopy type theory, related to math foundations stuff) and physics (particularly when studying TQFTs and some aspects of string theory).

A category consists of objects and arrows (aka morphisms) between the objects. Aside from being a directed graph, it has two additional properties:

1. Every object X has an "identity" arrow from X to X.
2. Given an arrow f from X to Y, and an arrow g from Y to Z, we have a composition of the two arrows g ∘ f from X to Z.

This should remind you of functions on sets, and yes, the category of sets (whose objects are sets and whose arrows are functions between the sets) is a category. Other examples of categories include the category of groups (objects are groups, arrows are group homomorphisms), the category of vector spaces (objects are vector spaces, arrows are linear transformations between the vector spaces), the category of topological spaces (objects are topological spaces, arrows are continuous functions), and so forth.

There's a lot of examples, all of which have applications in different fields. The arrows are not always functions either, for example in the category of cobordisms, and string diagrams... the list goes on and on.

Additional structure such as "tensor products", braiding, etc are often added to categories to study objects composed of multiple parts. (i.e. cartesian product in sets, tensor products in vector spaces, product groups in groups, disjoint union in topological spaces are all useful.)

Prerequisites:

Familiarity with proofs is the only real prerequisite, but knowing more mathematical structures will definitely help. I think a decent understanding of group theory and vector spaces is good enough to get started. The more "spaces" one is familiar with, the more one can do with category theory, but category theory itself doesn't require knowing all these structures to understand.

From this subreddit:

• Linear Algebra
• Group Theory/Abstract Algebra - missing
• Topology

Where to Start:

Learn the definition of a category first, then slowly pick up everything else. The hardest part about learning this subject is that it seems really abstract and hard to get an intuition of at first. The best way to get around this is by learning examples!

The prerequisites should give you a good amount of material to start with. Every time you learn a new definition in category theory, it's good to see how it work with the examples you know. It's nice if you know what you're applying category theory to and can study category theory for that application in particular.

Books:

Mac Lane - Categories for the Working Mathematician - I think this is considered the standard reference.

Conceptual Mathematics - Apparently a really good introductory book. Haven't seen it myself, though.

Awodey Category Theory - I started with this one. I think it's a little bit dense and not quite introductory.

Category Theory In Context (Emily Riehl) - Not sure if actually introductory, but full of examples!

Categorical Aspects of TQFT (Masters Thesis by B.H.Bartlett) - For physics people. If you want applications to physics and you know the basics of QFT (up to gauge theory), this might be good to take a look at. I think you need to know CFT for the later parts, but the first few chapters form a fairly intuitive introduction to ribbon categories.

[todo: iirc there's a nice reference for CS people too, but idr what it was called/who was the author]

Articles:

[blank]

Videos:

Playlist by Richard Southwell - Nice sound quality!

Other Online Sources:
nLab - This is an amazing resource for applications of category theory and its generalizations. But it's emphatically not an introductory resource.

This math stackexchange post - Contains a lot of references for category theory.

Subtopics:

[blank]

• This is currently a S.T.E.M focused subreddit. See the Wiki for the bibs that are/will be coming out. Here is a llnk

• I'm a double major in Mechanical Engineering and Physics so I have a broad interest and knowledgebase on these fields.

• Old reddit is the only supported version currently

• The reason why this sub isn't updated constantly, and only batch updates come through.

• If you read posts like these you get a view of future updates before they're ready. Some features aren't that great, some are very work in progress, some are like this

• The project scope is massive, so please bide your time while I work on this while also going to school

• This project is open source (see above), but the only documents that are not, are the offical LaTeX publication file that I have and publish. This is in order to encrypt the file with a .pgp verification so you know the file came from me. The project can be forked once made public, I'm fine with that, but the only thing that won't be is the official publication.

• Modmail is the best way to reach me, as I'm currently the sole developer on this project.

• See the work in progress for the scope of this project

#Bibliographies and Updates to be published by 8/15/2021

##Mathematics:

• Lie Algebra

• Group Theory

##Physics:

• Nuclear Physics

• Physics Bibliography to be split into Newtonian Mechanics, and Newtonian Electrostatics

• Plasma Physics

• Condensed matter physics

• Optics

• Modern Physics

• General and Special Relativity to me moved out of WIP

##Engineering:

• Mechanical/Civil (Analysis): Engineering Statics/Mechanics of Materials/Dynamics

• Structural Analysis is a maybe; dependent on completion of all "Mechanical" sets and then to be decided.

• Mechanical (Thermal-Fluids): Engineering Thermodynamics/Fluid Dynamics/Heat and Mass Transfer

• Mechanical/Materials: Engineering Materials

• Electrical Engineering: Circuit Analysis

#Things that are happening in the background:

• LaTeX document is approaching nearly 60 pages

• JabRef database is approaching 130 books

• Citations are being re-run/links are being checked

• Github Pages for the Bibliographies Project is off the ground

• Github is now filled with Markdown documents of the project

• Physics Bibliography is being re-written

• Subreddit (/r/bibliographies) is being redone to streamline the end user experience.

• Subreddit wiki has been updated to show a rough timeline

Please don't keep this as a binding document, I still have to complete this semester, 12 credits in the summer, and another 14 in the Fall. Updates will be slow but are coming.

Please use this thread to discuss the Subreddit, any Bibliography that is currently archived, Bibliography External Project Discussion or anything of the sorts. Please do not make requests in the discussion thread.

######Preliminary This subsection will be quite small, due to two reasons; The course isn't taught at many schools, rather the course is wrapped up as a section in their Quantum Mechanics course, their Modern Physics course, Electrodynamics, or Classical Mechanics. Different Colleges and Universities teach their courses differently, so this subsection is to appease the general audience who have a separate course for Waves and Oscillations (or Vibrations). Users who do not, may continue onto the next physics Bibliography.

A vast majority of US universities (that I'm aware of) no longer have full courses on Waves and Oscillations, the one's I'm aware that have name power of are Cornell and MIT. Most other institutions wrap it up in either Modern Physics or Quantum Mechanics.

For the sake of my recommendations, I'll assume you're a U.S. undergraduate either in their 2nd or 3rd year taking a full Waves and Oscillations course.

######Pre-Requisites

• Electrostatics & Electromagnetism

• Multi-variable Calculus

• Ordinary Differential Equations

• Partial Differential Equations

######Books

• R.A. Waldron - Waves and Oscillations - Archive link. As far as I'm aware it's a fairly conceptual book (only ~ 60 pages) but derives topics in W&O using PDE's and such. Seems like a decent book, and I've seen it recommend across a few forums and a quick scan seems like it does the job. Chapter 6 does seem outdated though (Network Theory) will need someone else to a-okay the outdateness as well.

• David Morin - Waves and Oscillations Draft - Harvard Scholar link, from the same Morin that has a Classical Mechanics Book out with Thompson. It's in draft format from a new book that he's writing. I haven't seen many PDE's rather n-th order Linear ODE's

• A.P French - Vibrations and Waves - MIT's book on said topic used in their version of the class at MIT, and possibly on OCW (will have to check on that). I'd imagine it's good enough, as it is used at MIT. Haven't done much checking on this book, but I recall his Introductory Physics book was pretty solid in any case.

• Howard Geogri - The Physics of Waves - This is like a "textbook" textbook. Has a complete chapter on symmetries of physics.

• M.I Rabinovich and D.I Trubetskov - Oscillations and Waves: in Linear and Nonlinear Systems - Russian/Soviet Era Textbook that will kick your ass. Has applications towards hydrodynamics and stochastic oscillations, in reference towards nonlinear oscillations and waves.

######Lectures:

• [MIT OCW Resource Index for Physics III] (https://ocw.mit.edu/courses/physics/8-03sc-physics-iii-vibrations-and-waves-fall-2016/resource-index/) Resource Index links all of Videos, Notes, Problem Sets, Readings and In-Class Demonstrations

######Lecture Notes:

• Cal Poly Ponoma Cal Poly Notes on Oscillations and Mechanical Waves

• [University of Texas](https://farside.ph.utexas.edu/teaching/315/Waveshtml/index.html](University of Texas) University of Texas Oscillations and Waves - Richard Fitzpatrick

Please use this thread to discuss the Subreddit, any Bibliography that is currently archived, Bibliography External Project Discussion or anything of the sorts. Please do not make requests in the discussion thread.

As Title, I set this sub to restricted months ago, not aware that it also disallows commenting. This was due to a number of spam posts that clogged up mod queue. Setting has been reverted.

Edit: I apologize for any inconvenience this may have caused.

Hi all,

Not sure if people actually use this sub or if there are a few users that somewhat follow this sub lurking around

I know I have not been updating this sub with information as consistently possible. I do apologize but cannot in good conscience say that will change. I look at this as quality vs. quantity matter, and in my head it will always remain staunchly on the quality side.

I'm currently rewriting all the previous Bibs in LaTeX. This is taking time as I'm learning LaTeX for the first time. This is including verifying links again and as well as adding new links and resources. I'm also trying to find a good way to back up these Reddit Posts as well as making a collaborative medium in order to share these Bibliographies as a community/collaborative editing. This is based off of a comment by u/haelaeif found here. I am currently in the process of enacting some of their suggestions, and I do apologize to the user for never responding on their comment. Their first edit in their comment is partially solved by creating a subreddit discord, one of which I had previously and then deleted. Improvements in the discord will be stated in the official comment in the following days.

Any other issues can be raised within this post, I'll be responding to comments on this post.

If you want to join the discord early here it is if you've read this far words

I've updated a few links in the Physics Bibs.

Classical Mechanics is the current Work in Progress, as there aren't many Video Lectures or Notes for this field.

Description:

"Statistical mechanics is one of the pillars of modern physics. It is necessary for the fundamental study of any physical system that has many degrees of freedom. The approach is based on statistical methods, probability theory and the microscopic physical laws. It can be used to explain the thermodynamic behavior of large systems." -Wikipedia

Preliminary:

I do want to say before a user starts this Bibliography, that this was one of the most difficult Bibs I've had to make in regards to the textbooks. For some reason, the textbooks pertaining to this field aren't highly regarded, nor are they usually well written. I have a hard time recommending any undergraduate textbook for Stat Mech or Thermodynamics:

• Kittel & Kroemer hasn't been updated in over 40 years and the publishers are still asking nearly $150 for the book (at the time this bib was published). It is usually recommended in lieu of Schroeder.

• Schroeder is typically used for intro Statistical Mechanics, and in most forums, is usually disliked, wherein most users refer to Kittel & Kroemer as their preferred textbook. This begins a cycle where one users hates Kittel & Kroemer and recommends Schroeder, another user comes in and recommends Kittel & Kroemer and thus continues the cycle.

• Reif is known for it's usage for obscure notation, unnecessarily formality, and clarity issues. Some users state it is the best book, while others want to burn it in a fire.

• Herbert B. Callen: Published and not revised since 1985. "In the preface to this second edition, Callen described his 25-year-old postulatory approach to thermodynamics and statistical mechanics as "now widely accepted". In fact, by the time of his second edition, his approach was completely outdated, because it springs from nineteenth-century ideas of thermodynamics in which concepts such as entropy were not understood. This means that Callen simply postulated the core quantities such as entropy and temperature with essentially no context, and without providing any physical insight or analysis. It might all look streamlined, but his approach will give you no insight into the difficult and interesting questions of the subject. Callen described his approach as rendering the subject transparent and simple; but his approach comes across as obscure. For example, in the early part of the book, he insists on repeatedly writing "1/T1 = 1/T2" for two temperatures that are ascertained to be equal, when anyone else would write "T1 = T2". And, for what he does write, the devil is often in the details that he tends to leave out. Even at the start, when Callen introduces the concept of work, he fails to say whether he is talking about the work done on the system, or by the system, leaving the reader to work that out for himself from some irrelevant comments about the mechanical work term −P dV. Callen's incorrect renditions of the Taylor expansion in an appendix seem to suggest, rather oddly, that he didn't understand the difference between "dx" and "Δx". His book includes a 20-page postscript in which he makes claims about the role of symmetry in thermodynamics; but, as far as I can tell, this section says nothing useful at all. I suspect that the reason this book is as frequently cited as it is said to be lies in its being used as the basis for a course by many lecturers who never learned the subject themselves, and hence don't reseal that the book's approach is outdated. If you really want to learn the subject, use the modern statistical approach, in which entropy is defined to relate to numbers of configurations. As far as readability goes, Callen's writing tends to omit commas; but this can make his sentences tedious to read, since the reader ends up having to make two or three passes to decode what some sentences are saying. (If you use few commas yourself, study a typical sentence in Callen's book: "the intermediate states of the gas are non equilibrium states for which the enthalpy is not defined". Callen is not singling out a special set of non-equilibrium states here; instead, enthalpy is not defined for any non-equilibrium state. He should have included a single comma, by writing "the intermediate states of the gas are non-equilibrium states, for which the enthalpy is not defined".) " -Vijay Fafat - UCR

Prerequisites:

• Statistics and Probability

• Multivariable Calculus

• Linear Algebra

• Ordinary Differential Equations

• Classical Mechanics

• Math Methods in Physics

• Electrodynamics

• Quantum Mechanics

Books:

• ######Undergraduate Books

• [Thermal Physics (2nd Edition) Second Edition

by Charles Kittel (Author), Herbert Kroemer (Author)](https://www.amazon.com/Thermal-Physics-2nd-Charles-Kittel/dp/0716710889) Not a bad a book but considering that most Statistical Mechanics aren't very well written, it stands out from the few decent books

• [Introduction to Thermodynamics and Statistical Mechanics 2nd Edition

by Keith Stowe (Author)](https://www.amazon.com/Introduction-Thermodynamics-Statistical-Mechanics/dp/1107694922) A very good book that has plenty of good explanations. Mathematics is a little less than what you would hope for, as some explanations and crucial calculations are left to the appendix. A more modern and meaningful approach to Stat Mech than most books

• [An Introduction to Thermal Physics 1st Edition

by Daniel V. Schroeder (Author)](https://www.amazon.com/Introduction-Thermal-Physics-Daniel-Schroeder/dp/0201380277/ref=sr_1_2?crid=W589GKLQOEMF&dchild=1&keywords=schroeder+thermal+physics&qid=1586189231&s=books&sprefix=Schroeder+%2Cstripbooks%2C158&sr=1-2) The replacement textbook from Kittel & Kroemer commonly used in most Universities.

• Fundamentals of Statistical and Thermal Physics by Frederick Reif (Author) A well known book among Physicists, usually known for its' use of obscure notation and being unnecessarily formal. Usually used for reference, as most information is not presented in a clear way

• [

Thermodynamics; Intro Thermostat 2E Clo 2nd Edition by Herbert B. Callen (Author) ](https://www.amazon.com/Thermodynamics-Intro-Thermostat-2E-Clo/dp/0471862568) See Preliminary

• ######Graduate Books

• Statistical Physics: Volume 5 3rd Edition by L D Landau (Author), E. M. Lifshitz (Author) Landau & Lifshitz textbooks are typically considered the pinnacle textbooks of their fields, usually known for their clarity. Usual complaints are that it is very math heavy and challenging. Used to tighten up foundations and knowledge.

• Statistical Mechanics, 2nd Edition by Kerson Huang (Author) Mixed reviews from all over the place, after much deliberating and reading, I can't say that this book is a recommendation or not. It may either work for you or it may not.

• Statistical Mechanics by R K Pathria (Author) Unknown about how well written it is what most users think about this book. On the list do to the fact it is commonly used for some Graduate programs at R1 and R2 universities

• [Statistical Physics of Particles 1st Edition

by Mehran Kardar (Author)](https://www.amazon.com/Statistical-Physics-Particles-Mehran-Kardar/dp/0521873428) Used for Statistical Mechanics I at MIT

• [Statistical Physics of Fields 1st Edition

by Mehran Kardar (Author)](https://www.amazon.com/Statistical-Physics-Fields-Mehran-Kardar/dp/052187341X) Used for Statistical Mechanics II at MIT

• [Statistical Physics: Theory of the Condensed State (Pt 2)

by E.M. Lifshitz (Author), L. P. Pitaevskii (Author)](https://www.amazon.com/Statistical-Physics-Theory-Condensed-State-dp-0750626364/dp/0750626364/ref=mt_paperback?_encoding=UTF8&me=&qid=1586626910) Not written by Landau so the quality or difficulty may be up in the air. Has more applications to Condensed Matter Theory

Assignments

• MIT OCW Undergraduate Statistical Physics I

• MIT OCW Undergraduate Statistical Physics II

• MIT OCW Graduate Statistical Mechanics I/Used in conjunction with Kardar Book I/Kardar Lecture I

• MIT OCW Graduate Statistical Mechanics II/Used in conjunction with Kardar Book II/Kardar Lecture II

Lecture Notes:

• MIT OCW Statistical Physics I

• MIT OCW Statistical Physics II

• MIT OCW Graduate Stat Mech I

• MIT OCW Graduate Stat Mech II

• Rochester Undergraduate Lecture Notes

• Stanford Undergraduate Statistical Mechanics

• Caltech Landing Page for all three terms

• UCSC Landing Page for Undergraduate Stat Mech & Thermo

• Rutgers Landing Page for Graduate Stat Mech for Rutgers

• University of Cambridge - David Tong David Tongs' Lecture Notes are usually considered the best around

• University of California, San Diego Currently a Work in Progress, though David Tongs landing page refers to them directly

• MSU Graduate Statistical Mechanics/ Landing Page which has Lecture Notes, Problems and Solutions, and Midterms

• MSU Graduate Statistical Physics, course from 2007-2016

Exams

• MIT OCW Statistical Physics I

• MIT OCW Grad Stat Mech I (Only Reviews, no actual tests)

• MIT OCW Grad Stat Mech II (Only Reviews, no actual tests)

• MSU Graduate Statistical Mechanics / Quizzes & Exams

• Rochester Homework/Midterms/Final Exam

Lectures:

• Stanford - Leonard Susskind Undergraduate Statistical Mechanics

• Mark Ancliff As per the comments as Mark Ancliff states, this class is taught to non-native English speakers, the class may be a lower level than what you might expect, as he was making sure they were comfortable with all the basics in English.

• MIT OCW Grad Stat Mech I

• MIT OCW Grad Stat Mech II

Preliminary:

Math methods is completely different than Mathematical Physics. Do not confuse either subject/field. Math Methods is not a field of physics, rather a field of internal instruction for physics majors.

Math Methods bridges the gap between Multivariable Calculus/Linear Algebra/Ordinary Differential Equations to complex mathematical areas which Physics Majors need to be fluent in, but not masters in. For example, most Physicists and/or majors do not need to be proficient in most areas of Real Analysis, Group Theory or Probability and Statistics. Some proficiency is required, but not to the level as Mathematicians and/or majors would need to be at. Math Methods essentially covers these areas to the degree of which you may require and not much afterwards.

In simple plain English, Math Methods takes out the bullshit and fluff that physicists don't require in their Mathematics.

Prerequisites:

• Multivariable Calculus

• Linear Algebra

• Ordinary Differential Equations

Books:

• Mathematical Methods for Physicists: A Comprehensive Guide 7th Edition by George B. Arfken, Hans J. Weber, Frank E. Harris Covers Mathematics at the Graduate Level, does not do any area particularly in depth, but covers many areas widely and does it well. I personally used this textbook as I prefer it to Boas.

• Mathematical Methods in the Physical Sciences 3rd Edition by Mary L. Boas Most students find this a confusing bout the first time around. Looking back at it in your grad years, you'll find this a very good reference. Not good to teach yourself from as Boas makes jumps in explanations which aren't as clear learning through the first time.

• Mathematical Methods for Physics and Engineering: A Comprehensive Guide 3rd Edition by K. F. Riley (Author), M. P. Hobson (Author), S. J. Bence (Author) A book I've seen recommended across forums. An easier version of Boas and Arfken which is more hand-holdey and seems to be "just alright"

• Basic Training in Mathematics: A Fitness Program for Science Students by R. Shankar (Author) A book I've seen sometimes referenced due to the popularity of it's predecessor, though it doesn't cover as much material as Arfken or Boas. More like a bridge between simple engineering mathematics and physics mathematics.

Videos:

• UC Irvine OCW

• Carl Bender PSI Lectures Refers to the class as Mathematical Physics, though it is Mathematical Methods

The Carmelites are a profound religious order within the Catholic Church. Formed in the late 12th century, the order includes some of Catholicism's most famous spiritual authors including St. John of the Cross, St. Teresa of Avila, and St. Thérèse of Lisieux, all three of whom the Catholic Church declared Doctors of the Church. The Carmelite order also gave rise to other important saints and thinkers, most notably the philosopher St. Theresia Benedicta (Edith Stein).

All works are in English.

The following books are published by the Institute of Carmelite Studies.

Collected Works of St. John of the Cross includes: The Ascent on Mount Carmel, The Dark Night, The Spiritual Canticle, and The Living Flame of Love amongst more.

St. Teresa of Avila

1. The Collected Works vol 1 includes: The Book of Her Life, Spiritual Testimonies, and Soliloquies
2. The Collected Works vol 2 includes: The Interior Castle and The Way of Perfection
3. The Collected Works vol 3 includes: The Book of Her Foundations
4. The Collected Letters vol 1
5. The Collected Letters vol 2

St. Thérèse of Lisieux

1. Story of a Soul: The Autobiography
2. Letters vol 1
3. Letters vol 2
4. The Plays
5. The Poetry
6. The Prayers
7. Her Last Conservations: this volume contains the last conversations St. Thérèse had before her death.

St. Theresia Benedicta (Edith Stein)

St. Elizabeth of the Trinity

1. The Complete Works vol 1
2. The Complete Works vol 2

Secondary Literature

In Context: Teresa of Avila, John of the Cross and Their World by Mark O'Keefe, O.S.B.

The Dark Night: Psychological Experience and Spiritual Reality by Marc Foley, O.C.D.

He is My Heaven: The Life of Elizabeth of the Trinity by Jennifer Moorcroft

"Special Relativity is the generally accepted and experimentally confirmed physical theory regarding the relationship between space and time."

Prerequisites:

Depending on the book:

• Multivariable Calculus

• Linear Algebra

Books

• [Special Relativity (M.I.T. Introductory Physics) First Edition

by A.P. French](https://www.amazon.com/Special-Relativity-M-I-T-Introductory-Physics/dp/0393097935)

• Special Relativity First Edition by Robert Resnick

• The Meaning of Relativity by Albert Einstein Helps make a connection between Special Relativity and General Relativity. A "mathy" introduction to Special Relativity compared to most books, requires a good grasp on Calculus and possibly of Linear Algebra

• [SPECIAL RELATIVITY AND ITS EXPERIMENTAL FOUNDATION (Advanced Theoretical Physical Science)

by Yuan Zhong Zhang](https://www.amazon.com/RELATIVITY-EXPERIMENTAL-FOUNDATION-Advanced-Theoretical/dp/9810227493) An interesting read if you need to know the experimental basis of Special Relativity

• [Special Relativity: An Introduction with 200 Problems and Solutions 2010th Edition

by Michael Tsamparlis](https://www.amazon.com/Special-Relativity-Introduction-Problems-Solutions/dp/3642038360)

Article Notes

• MIT - OCW Lecture Notes

Videos:

• Leonard Susskind - Stanford

Problems

• MIT - OCW 9 Problem Sets/No Solutions

Exams

• MIT - OCW Exams and Solutions

Subtopics:

• Modern Physics

• General Relativity

Edith Stein was a Jewish philosopher who studied under Edmund Husserl, the founder of the phenomenological school of philosophy, beginning in 1913. In 1916 she obtained her PhD with her dissertation in empathy. Thereafter she worked as Husserl's secretary. In 1922 Edith Stein converted to Catholicism after reading the works of St. Teresa of Avila. She entered the Discalced Carmelites in 1933. Edith Stein's contact with Catholic philosophy introduced her to St. Thomas Aquinas. Edith Stein was arrested by the Nazis and died at Auschwitz Aug 9, 1942. Edith Stein was canonized as a saint by the Catholic Church Oct 11, 1998. Wiki link

Edith Stein remains an influential philosopher for her personalistic philosophy and project of integrating Husserl's phenomenology with the philosophy of St. Thomas Aquinas with significant work in metaphysics.

All works below are in English.

Works by Edith Stein:

Autobiography Edith Stein's incomplete autobiography. It ends abruptly due to her arrest.

Essays on Woman This volume contains seven essays on various topics within feminism including philosophical anthropology and the role of women in education, national life, and the workforce.

The Problem of Empathy This volume is Edith Stein's dissertation on empathy and intersubjectivity.

The Hidden Life This volume contains several of Edith Stein's short spiritual writings composed near the end of her life.

Self Portrait in Letters This volume contains the majority of Edith Stein's letters written 1916-1942.

The Science of the Cross To prepare for the fourth centenary of the birth of St. John of the Cross Edith Stein had the task of preparing a study of his writings.

Philosophy of Psychology and the Humanities This volume contains two studies by Edith Stein, Sentient Causality and Individual and Community.

Knowledge and Faith This volume contains five essays on the themes of God, knowledge, and faith including a comparison of St. Thomas Aquinas and Husserl, and examination of Pseudo-Dionysus.

Finite and Eternal Being Edith Stein's magnum opus on metaphysics within which she attempts an integration of scholasticism and phenomenology.

Martin Heidegger's Existential Philosophy The ICS publication of Finite and Eternal Being left out Edith Stein's appendix which is an appraisal of Martin Heidegger's Being and Time, Kant and the Problem of Metaphysics, The Essence of Reasons, and What is Metaphysics. Fortunately this has been translated in English and available free online.

An Inquiry Concerning the State Edith Stein's account of political philosophy.

Potency and Act Edith Stein's other major investigation in metaphysics.

Letters to Roman Ingarden This volume contains Edith Stein's letters to her great friend Roman Ingarden, who likewise was a disciple of Husserl and eminent philosopher himself.

Truth and Clarity in Teaching and Education A public lecture given by Edith Stein on epistemological meaning of truth and clarity and application to education in 1926. Maynooth Philosophical Papers 9 (2018): 113-128. DOI: 10.5840/mpp201810306

Works on Edith Stein:

Edith Stein: The Life of a Philosopher and Carmelite This is the first biography ever printed about Edith Stein, written by her prioress Teresia Renata Posselt, OCD, at Cologne Carmel.

Listening to Edith Stein: Wisdom for a New Century This volume contains 15 essays on various topics of Edith Stein's philosophy written by leading Stein scholars.

The Philosophy of Edith Stein An appraisal of Edith Stein's phenomenology and project in metaphysics.

Other:

In depth bibliography of Stein's works including books, articles, and letters in multiple languages.

The Institute of Carmelite Studies Publications has published most of Edith Stein's works. Their website is here

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Prerequisites:

• [Differential Geometry] (https://old.reddit.com/r/bibliographies/comments/akguun/differential_geometry/) *

• Quantum Mechanics **

• Special Relativity

• Electromagnetism

Books

• Carrol A fantastic book, my personal recommendation.

• Weinberg A really good tool for learning all the bits of General Relativity

• General Relativity and the Einstein Equations by Yvonne Choquet-Bruhat A rigourous introduction to GR and SR. "Topics are: 1. Lorentz Geometry 2. Special Relativity 3. General Relativity and Einstein's Equations 4. Schwarzchild spacetime and black holes 5. Cosmology 6. Local Cauchy Problem 7. Constraints 8. Other hyperbolic-elliptic well-posed systems 9. Relativistic fluids 10. Relativistic kinetic theory 11. Progressive waves 12. Global hyperbolicity and causality 13. Singularities 14. Stationary spacetimes and black holes 15. Global existance theorems and then 200 pages of appendices on functional analysis and field theory techniques " -u/Orion952

• A First Course in General Relativity by Schutz Also quite tough introduction to GR, but the overall winner of the best book to buy here. You should use this book while going through the rest of the bibliography.

• Gravitation Hardcover by Charles W. Misner (Author, Introduction), Kip S. Thorne (Author, Introduction), John Archibald Wheeler (Author), David I. Kaiser (Preface)

• Also see: Books for general relativity, URL (version: 2013-09-18): https://physics.stackexchange.com/q/376

Lecture Notes

• Columbia University
• University of Bern
• Cambridge
• University of Leipzig
• Sussking - Stanford
• Sean Carrol - UC Santa Barbara
• MIT OCW
• University of McGill
• Syracuse

Videos:

• Leonard Susskind - Stanford
• Colorado School of Mines
• UCI

Problems and Exams

• UC Santa Cruz
• MIT OCW
• Solutions to Wald
• Sergei Winitzki
• Pamona College
• Trinity College Dublin

**Subtopics:**l

• Subtopic - Bibliography does not exist

Captain's Log

• 3/25/2020: Susskind Lecture link broke, re-added proper link

“In mathematics, tensor calculus, tensor analysis, or Ricci calculus is an extension of vector calculus to tensor fields (tensors that may vary over a manifold, e.g. in spacetime). Developed by Gregorio Ricci-Curbastro and his student Tullio Levi-Civita it was used by Albert Einstein to develop his theory of general relativity. Contrasted with the infinitesimal calculus, tensor calculus allows presentation of physics equations in a form that is independent of the choice of coordinates on the manifold. Tensor calculus has many real-life applications in physics and engineering, including elasticity, continuum mechanics, electromagnetism (see mathematical descriptions of the electromagnetic field), general relativity (see mathematics of general relativity) and quantum field theory.” -Wikipedia

Prerequisites:

• Multivariable Calculus

• Linear Algebra

• Differential Equations

• Set Theory

• Real Analysis

Books:

• Winitzki - Linear Algebra via Exterior Products

• Schutz - Geometrical Methods of Mathematical Physics 1st Edition

• Frankel - The Geometry of Physics: An Introduction 3rd Edition

• Wald - General Relativity

• Bishop & Goldberg - Tensor Analysis on Manifolds (Dover Books on Mathematics)

• Greub - Multilinear Algebra

Articles:

• Heidelberg

• UTexas

• MIT

• ARXIV

• TU

• Saint Mary's University Halifax

• Research Gate

• Israel Institute of Technology

Videos:

• MathTheBeautiful

• MTB2

• eigenchris

Problems and Exams:

Subtopics:

Hi,

So you want to learn math. Fantastic! Math is a wonderful but grueling subject, which is why here we make sure you can have all the resources at your disposal to make sure you either get that A in your class, make math really easy or make sure you really, really know your math to become a mathematician. But say you're our general audience, you're most likely an an Engineering student. Do you really need to learn about topology or abstract algebra? Nope. So this is how to use our math and our suggested guide. Enjoy!

##Engineering

MechE/Aero/Astro/ChemE/Civil/CompE

• Basic Algebra
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• Single Variable Calculus
• Multivariable Calculus
• Linear Algebra
• Differential Equations
• Statistics for Engineering and the Sciences
• Partial Differential Equations Yes you can learn PDE without Real Analysis

Nuclear/Electrical/ECE

• Basic Algebra
• Precalculus
• Methods of Proof Yes proof techniques for an engineer, it will help understanding proofs in Lnear algebra and Multivariable Calculus
• Single Variable Calculus
• Multivariable Calculus
• Linear Algebra
• Differential Equations
• Statistics for Engineering and the Sciences
• Partial Differential Equations Yes you can learn PDE without Real Analysis
• Complex Analysis

##Sciences

Physics

• Basic Algebra
• Precalculus
• Methods of Proof
• Single Variable Calculus
• Multivariable Calculus
• Variational Calculus
• Linear Algebra
• Differential Equations
• Partial Differential Equations
• Tensor Calculus
• Statistics for Engineering and the Sciences
• Set Theory
• Real Analysis
• Complex Analysis
• Topology
• Differential Geometry

Mathematics

• Basic Algebra
• Precalculus
• Methods of Proof
• Set Theory
• Single Variable Calculus
• Multivariable Calculus
• Linear Algebra
• Differential Equations
• Statistics
• Real Analysis
• Partial Differential Equations
• Complex Analysis
• Topology
• Tensor Calculus
• Differential Geometry
• Variational Calculus

Chemistry/Biology

• Precalculus
• Methods of Proof
• Single Variable Calculus
• Multivariable Calculus
• Statistics for Engineering and the Sciences
• Linear Algebra
• Differential Equations
• Partial Differential Equations Only if you're into computations

Computer Science

• Precalculus
• Methods of Proof
• Single Variable Calculus
• Statistics
• Discrete Math
• Linear Algebra

SPB: Standard Pathway Bibliography

SPBs are meant to replace college level courses. Divided into 4 sections, Beginner, Intermediate, Advanced, and Expert. Each SPB will contain one free textbook, one free online course, and a set of homework problems and exams.

Instead of rifling through a SB (Standard Bibliography), which are meant for re-introducing a topic which you've already learned, an SPB gives you all the information you need about a topic in order to learn it quick as possible. Please note, that an SPB is of lesser value than an SB, and that rifiling through an SB and picking your own sources is more beneficial than what an SPB can offer you. This is for people in a rush/are in college who do not have time to choose their own resources.