I have learned EFA and CFA in SPSS/ AMOS and a basic understanding of why they work (but in a non-mathematical way, which makes me feel I might have some fundamental misconceptions, and hence this question). I wanted to know what are some good books/ lectures/ notes to learn the theoretical foundations of EFA and CFA, from beginner's to advanced levels of understanding. I know that might be a lot to learn, I plan to learn it as soon as possible, but would not mind if learning it too quickly is not possible, and would be grateful for resources that take longer to learn too. I am comfortable with UG level mathematics (in my final year currently).
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Is there any "state of the art" book on SEM/CFA that you can recommend?  I am looking for something that offers both some theory and some practice and I am using R with lavaan.  I am a psychologist and mainly interested in CFA to test questionnaire structure, etc.  Please note why your book of choice is worth reading.
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I would like to teach myself measure theory and I am looking for a good introductory textbook at the advanced undergraduate or early graduate level. A reader-friendly text with plenty of examples would be ideal.
120471
Ok so I read the following article the other day:  and I wanted to learn more about lie groups. Using my exceptional deduction skills I thought "oh it must have something to do with groups" So I picked up a copy of Dummit and Foote's book on abstract algebra and skimmed through it. It didn't say anything about Lie groups however. $E_8$ is coming to be rather famous so maybe other people are interested in this question too. Lets suppose I wanted to learn about lie groups. What books should I read to be ready to learn about Lie groups and what is a good book that talks about Lie groups. I'm guessing its a combination of group theory (representation theory in specific) and also differential geometry. Is this correct? Thank you very much for your time.
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I plan to self-study linear algebra this summer. I am sorta already familiar with vectors, vector spaces and subspaces and I am really interested in everything about matrices (diagonalization, ...), linear maps and their matrix representation and eigenvectors and eigenvalues. I am looking for a book that handles every of the aforementioned topics in details. I also want to build a solid basis of the mathematical way of thinking to get ready to an exciting abstract algebra next semester, so my main aim is to work on proofs for somehow hard problems. I got Lang's "Intro. to Linear Algebra" and it is too easy, superficial.  Can you advise me a good book for all of the above? Please take into consideration that it is for self-study, so that it' gotta work on its own. Thanks.
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Hum,  I would like to buy myself a book about typography. I have a lot of interest in this field, and already have some knowledge learnt from reading  now and then, among other online sources. I would like to consolidate my knowledge with a book about typography, possibly a mix of theoretical considerations and examples (I quite like the balance achieved, for example, in the Tufte books).
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I would like to teach myself measure theory. Unfortunately most of the books that I've come across are very difficult and are quick to get into Lemmas and proofs. Can someone please recommend a layman's guide to measure theory? Something that reads a bit like this , starts out very gently and places much emphasis on the intuition behind the subject and the many lemmas.
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Hello Physics StackExchange!  I will put the TL;DR in the beginning: I need a self contained, relatively hand-holding sequence of textbooks that covers up from the end of Griffith's Intro to QM to relativistic QM/particle physics to QFT.    This will be my first post. I'm a medical physics grad student who majored in biomedical engineering for my undergrad, with serious regrets about not doing math/physics double major in hindsight. Oh well. I've made it my goal to eventually understand QFT.  My background in relevant subjects is Calc 1 to 3 and Diff EQ, 2 part freshman physics, an E&amp;M course that used Griffiths Electrodynamics, a summer of self studying Griffith's QM (got most of the way through). I will also be officially taking a class in QM using Griffith's textbook this next spring. I am aware of the Lagrangian and Hamiltonian approaches to mechanics as well. In addition I have familiarity with special and basic general relativity using tensors and all this. What would be the best way for me to get from where I am now to a strong understanding of QFT autodidactically? I have no aversion to studying pure maths where I need to.  EDIT: My question is much different than simply asking for a handholding explanation of QFT. Generally these textbooks assume a certain amount of physics/math background, and I was asking for a sequence of textbooks leading up to QFT from the end of a specific textbook, Griffith's QM. Did you even read my question? Did you read the thing you linked me to?
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I'm a person with graduate level mathematics and some undergraduate statistics background, who'll have to study some basic longitudinal data analysis. I've studied the basics of correlation and regression, measure-theoretic probability, all the necessary distributions (chi², T, F) for the previous, basic tests of confidence intervals etc.  I'm looking for textbooks/lecture notes which are mathematically well-written. By 'well-written', I mean it states the all the necessary results in a mathematically neat way, with or without necessarily going into details of the proof, or by referencing them wherever necessary.   I'm going to use these basic knowledge and results for statistical shape analysis/shape modelling, so may be an inclination to that subject would be preferred, but not absolutely necessary.
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I am looking for some material (e.g. references, books, notes) to get started with Lie Groups and Lie Algebra.  My motivation is that I (eventually) want to understand the theory underpinning    .  The problem is, I am at the  stage where I don't know what I don' t know. The  makes it clear that I lack several prerequisites in modern geometry.  So, what would be a proposed study path to get to this stage?  My background is electronic engineering and am comfortable with associated topics (signal processing, estimation theory, Kalman Filtering, etc.)
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This question has been posted before, but I need book with specific qualifications. I do not need books for engineers, book that is centered around calculations and stuff. I need to find a book that is theoretical, proves the statements and has good presentation of the theoretical structure. I have had the book by Tenenbaum, I did not like it. I would be very very thankful if someone shared their knowledge with us about this matter.
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I'm a Computer Science engineer with no background in statistics or advanced math.  I'm studying the book  by Raschka and Mirjalili, but when I tried to understand the math of the Machine Learning, I wasn't able to understand the great book that a friend suggest me .  Do you know any easier statistics and math books for Machine Learning? If you don't, how should I move?
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I am looking for a book (English only) that I can treat as a reference text (more colloquially as a bible) about probability and is as complete - with respect to an undergraduate/graduate education in Mathematics - as possible. What I mean by that is that the book should contain and rigorously address the following topics:   Measure Theory (As a mathematical foundation for probability)   It is of course fine if this theory is addressed with an emphasis on probability and not only for the sake of mathematical measure theory, although the latter would be great too.  Introduction to Probability, i.e. the most common theory a student is exposed to when taking a first course in theoretic Probability. For example: distributions, expected value, modes of convergence, Borel Cantelli Lemmas, LLN, CLT, Gaussian Random Vectors More advanced topics such as: Conditional Expectation (defined through sigma-Algebras), Martingales, Markov Processes, Brownian Motion   I want it to be one book so I can carry a physical copy of it with me and work through the material in my spare time.   Examples:   The book by Jean-Francois Le Gall which can be found here:  but (unfortunately for me) is written in French.  Rick Durrett's book on Probability which can be found here  - the  for this book seems a bit mixed, uncertain about how to weigh that.   I am well aware that it's not easy to meet all of the above criteria simultaneously, but I would be grateful for any recommendation.
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Can someone give me a recommendation on homological algebra textbooks? I would like something that are accessible to a beginner (i.e., someone who have studied abstract algebra) and that have  1) an account on preadditive, additive, monoidal, abelian, triangulated categories, respectively,  2) motivations from algebraic topology exploited, (an elementary example that comes into my mind is the mapping cylinder/cone construction explained in contrast with Puppe sequence,)   3) an explanation on module theoretic topics like injective / projective resolutions,  4) a coverage of sheaf theory, cohomology of groups, and Galois cohomology.
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My goal is to pick up some commutative algebra, ultimately in order to be able to understand algebraic geometry texts like Hartshorne's. Three popular texts are Atiyah-Macdonald, Matsumura (Commutative Ring Theory), and Eisenbud. There are also other books by Reid, Kemper, Sharp, etc. Can someone outline the differences between these texts, their relative strengths, and their intended audiences?   I am not listing my own background and strengths, on purpose, (a) so that the answers may be helpful to others, and (b) I might be wrong about myself, and I want to hear more general opinions than what might suite my narrow profile (e.g. If I said "I only like short books", then I might preclude useful answers about Eisenbud, etc.).
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I want to get acquainted with forcing, along with a few friends, and I'm looking for a text to introduce the basic notions (pardon the pun :) ).  The point is to study a text (or texts, if they can be reasonably seamed together) together for about one week, several hours a day, each of us (three) preparing a part on his own so as to explain it to the others (and so understand it better himself).  Again, I'm not looking for something necessarily in-depth, just enough to understand the basics at a decent, but not overly exerting pace (after all, it's still summer vacation for us :) ).  It is important to mention that all of us are somewhat familiar with the basics of descriptive set theory and model theory (but not axiomatic set theory per se), so ideally I would like a source that would somehow capitalize on that familiarity.  Any suggestions?
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What would be your recommendation for the text which could be useful for someone starting with lattice theory? Suggestion for both books and online materials/lecture notes are welcome.    This was asked as a part of  and I did not like that it was combination of two different questions. (One of them on geometric modular lattices and the other one about text recommendation.)  I don't expect the user to post a follow-up question, since he was not seen at MSE for some time. I think that this could be a useful for some users here, so I've decided to post it myself.
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I am a student of 11th grade and i have completed the syallabus of both 11th and 12th grade maths with complete understanding and it was possible coz of the love for this subject that i have. I don't want to sound "larger than life" here, but my curiousity has now increased to learn maths at a deeper level. As of now i am reading "Linear algebra done right" by Axler. Thats an amazing piece of work and now i truly understand what "matrix" is all about. I also want to extend my knowledge on the following topics :  1) Algebra (groups,subgroups,homomorphisms etc)   2) Analysis   3) Geometry/Topology  Why i am here is because i wanted you guys to recommend a book on each of the above topic that would be appropriate for a beginner like me (I must mention here I have been working on Apostol's volume 1 calculus, thats a great text, but for a beginner, its best if the concept is explained in a broad manner and in as simple and easy words as possible) . I just want a book which explains the concept broadly rather than coming to the conclusion directly (which is not a great sight for a beginner like me) .   Having said that, no book is complete i understand. Thats why i am asking your recommendation as you guys are aware which text would be the best to start with for a beginner. I have searched on the net about this, but there are dozens of works available, and out of them all , i want the one which is the best (approximation) for a beginner .   Please don't misunderstand me in any way. I am just confused which text to go for, and i understand the books which u may suggest may be for undergraduate level course as these topics are for undergraduate level courses, thats not a problem at all . I need a easy to learn (i mean easy in terms of "broad" explanation) book. I hope you guys don't mind me questioning such a question on this forum . Thanks for all the help you guys have been providing me on this forum . Maths Maths Maths... the world is beautiful coz of u! :))