Questions tagged [textbook-recommendation]
Questions asking for recommendations of textbooks on some subject. It can be helpful to indicate whether the request is for self-study, for use in a course one teaches, for use accompanying a course one takes etc., and to give some additional details on the context. Typically, additional tags are used to indicate the subject. For other questions on books, please use the tag books. Also, see reference-request for a related tag.
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Distributional equations: reference request [closed]
I'm really having a hard time finding a book that covers distributional equations such as $xT = \delta(x)$ or distributional differential equations. Any suggestions?
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Copylefted introduction to topology
Is there a textbook in topology with a copyleft license?
$$ $$
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Monograph on harmonic analysis with applications to PDEs
"There are two ways to teach mathematics, namely the systematic way and the application-oriented way"- E. Zeidler
I'm a fresh researcher on PDEs, especially interested in evolution equations in ...
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Alternative or reprint of Carter's "Finite Groups of Lie Type: Conjugacy Classes and Complex Characters"
I would like to learn about character theory of finite groups of Lie type and some Deligne-Lusztig theory. The classic textbook on the subject seems to be Roger W. Carter's Finite Groups of Lie Type: ...
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Geometry of schemes by Eisenbud and Harris
I have some background of algebraic geometry.
I am now trying to study schemes from book Geometry of schemes by Eisenbud and Harris.
I was checking recommendations for books on algebraic geometry ...
user37663
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Books for (Complex) Algebraic Curves
I would like suggestions for some good books on (Complex) Algebraic Curves.
I am searching a book for Undergraduate-Beginner Level in this part of mathematics: algebraic curves. I found some books ...
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Colombeau generalized functions
I'm currently reading some aspects of Colombeau generalized functions, and in almost all of his examples he discuss aspects of Quantum Field Theory, but then I go to some "standard" texts on QFT and I ...
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Review paper/book on Finite Difference Methods for PDEs
I am looking for a good, relatively modern, review paper/book on Finite Difference Methods for PDEs with a theoretical emphasis in mind. By theoretical emphasis I mean that I care about theorems (i.e. ...
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What are the differences between The Princeton Companion to Applied Mathematics and Mathematics for Physics by Michael Stone and Paul Goldbart?
Both of them are applied mathematics books. What are the main differences between them? Which is more mathematical i.e. mathematically advanced, mathematically rigorous?
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Are there textbooks on logic where the references to set theory appear only after the construction of set theory?
This is cross posted from MathStackExchange. Since this is a reference request, I believe there will not be duplications of efforts in answers. This is also related to the question here.
In textbooks ...
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Introduction to representation theory of algebraic groups
This is a very basic and most definitively a naive question but coming from a student it is probably OK.
I am trying to learn representation theory of (linear) algebraic groups and looking for a an ...
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Reference for PDE problem book
What I need is a source of solved exercises, problems in Partial Differential Equations; to be hard enough (olympiad style) and in areas like Calderon-Zygmund theory and applications, Paley-Littlewood ...
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Introduction to geometric discrepancy theory?
Recently in search of tests for uniformity of multidimensional distributions I luckily stumbled upon something called 'geometric discrepancy theory'. It seems to be a very powerful and elegant ...
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Introductory text to Sobolev spaces and PDE's [closed]
I'm looking for a good introductory to Sobolev, preferably with an emphasis to their relationship to PDE's analysis.
I have only seen thus far Giovanni Leoni's "First Course in Sobolev Spaces" which ...
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Text for studying group representations in the context of (abstract) harmonic analysis
I would like to study elements of representation theory as I often encounter it when reading texts on harmonic analysis. I was therefore curious if someone could recommend a book for this.
When ...
user92170
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Generalizations of the Euler–Maclaurin Summation Formula
I'm using the Euler–Maclaurin formula in a research project I'm working on. While brilliant, the elementary proof found in Apostol - An Elementary View of Euler's Summation Formula does not give me ...
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How to learn concepts of Functional Analysis which are common in PDE
I am a master student and working in PDE area. I am trying to gain deep understanding of some of the concepts in functional analysis which are common tools in PDE research, such as weak*-topology, ...
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Undergraduate ODE textbook following Rota
I imagine many people are familiar with the extremely entertaining article "Ten Lessons I Wish I Had Learned Before I Started Teaching Differential Equations" by Gian-Carlo Rota. (If you're not, do ...
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Specific discrete system $x_n = A(n,u)\cdot x_{n-1}$ control papers
Basic discrete control theory mostly studies systems which can be represented as $x_n=A(n)x_{n-1}+B(n)u_n$.
I wonder if optimal control of specific discrete systems of the type $x_n = A(n,u)\cdot x_{...
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Braided Hopf algebras and Quantum Field Theories
It is well-known, that there are a lot of applications of classical Hopf algebras in QFT, e.g. Connes-Kreimer renormalization, Birkhoff decomposition, Zimmermann formula, properties of Rota-Baxter ...
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Combinatorial aspects of continued fractions
Recently, I got interested in the study of the combinatorial aspects of continued fractions. Precisely, I read of the following lemma of Flajolet (see here):
Lemma. It holds
$$\sum_{\omega} \nu(\...
user40023
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What would be a suitable textbook of ordinary differential equations for such content? [closed]
I'm a first year undergraduate in Math. And I'm going to take the course "Analysis II" in the next semester.
Half of the course will be spent on ODEs, but from the content of the lecture notes I ...
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Good graph theory and combinatorics book
I am looking for a book about graph theory and combinatorics. I am studying the routing problem in communication networks, therefore my interest is on a book with a wide set of problems and examples.
...
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reference request: simple facts about vector-valued $L^p$ spaces [closed]
I learned basic results (regarding weak convergence) about Banach-space valued functions of a single real variable when learning PDE. (See e.g. Appendix E in Evans's Partial Differential Equations) I ...
user14319
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Book recommendation for cobordism theory
I am planning to organize a seminar on cobordism theory and I'm looking for a reference. Such a reference is preferably a book, but I'm open to other ideas.
The audience is familiar with ...
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Mathematics Book on Yang-Mills Equation [duplicate]
I am planning to read two papers - Atiyah-Bott's paper on Yang-Mills equations on Riemann surfaces and Hitchin's Self-Duality equations on Riemann Surface. Can someone please suggest some book where ...
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Grothendieck problem
Could you suggest me a book or a link where I can find some information about the Grothendieck problem about differential equations?
The Grothendieck problem that I am reffering to is the following: ...
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Notes on flag varieties and Grassmannians for beginners
Can you suggest books or lecture notes (for beginners) covering basic material about flag varieties and Grassmannians (of reductive groups), with emphasis on the usual flag variety, i.e. flag variety ...
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An introduction to Macdonald polynomials other (better?!) than SFHP
Long story short, I personally find Macdonald's celebrated book Symmetric Functions and Hall Polynomials somewhat difficult to read for various reasons. I also know for a fact that I'm not the only ...
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Category theory for Algebraic Geometry
How much of category theory should I know to view schemes, sheaves and cohomology concepts as concrete cases of abstract categorical concepts? Is there a textbook of category theory for AG people?
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Advanced Differential Geometry Textbook
I tried this post on StackExchange with no luck. Hopefully the experts at MathOverflow can help.
In algebraic topology there are two canonical "advanced" textbooks that go quite far beyond the usual ...
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Springer GTM Reprints in China?
I apologise if this is not the sort of question appropriate for MO; it does however seem that mathematicians are the most likely to know the answer:
Many of the Chinese mathematicians and graduate ...
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Good broad review of agent-based modeling? [closed]
Trying to find some good review of agent-based models and networks, specifically models that are defined by a graph of interacting nodes, that covers analysis of collective behavior based on model of ...
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What's a good introduction to category theory for someone doing analysis?
I do functional analysis, and diagrams are popping all over the place. It is about time I learned me some category theory.
Any recommendations?
user76098
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Intuitive functional analysis book
I want to know functional analysis book like Terence tao's real analysis and measure theory book, full of intuition. I am aware of linear algebra, real analysis, measure theory, Probability theory.
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Basic results for chi square processes
I could not find any introductory material with basic results regarding chi-square processes. Their definition from The Supremum of Chi-Square Processes
is as a sum of $d$ squares of independent ...
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Reference for the Banach Manifold structure of $C^k(M,N)$
I'm completely new to the subject of banach manifolds and I'm looking for a reference of the following:
Let $M$,$N$ be smooth (=$C^\infty$) finite-dimensional compact manifolds. Consider the set $C^...
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Linear Algebra classic books [closed]
I'm learning linear algebra at the moment, so I'm looking for some great old classic books. Something like Fermat's or Gauss books of some great mathematians.
I don't really like the nowadays books ...
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Commutative algebra books representing the edge of research
Recently I have come across the books Combinatorial Commutative Algebra by Miller and Sturmfels along with Combinatorics and Commutative Algebra by Stanley. I will soon own a copy of each. I also ...
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Mathematics equivalent of Feynman's Lectures in Physics? [closed]
I'm looking for an equivalent of "Feynman's Lectures in Physics" in mathematics. I'm specifically looking for book/books that delve into, using Feynman's words, "the meaning of things".
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Book on the tetrahedron
Does anybody know of a book containing "all you want to know about the tetrahedron"? What you want to know should include basic geometry of the tetrahedron, study of orthocentric tetrahedra, the Monge ...
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Open problems books [closed]
As the title might indicate , I would like to look for recommendations for mathematical book that present open problems in depth with commentary.
The only book of this type that I've come across is ...
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Introductory texts to mathematics [closed]
I am interested in texts recomendations for a 14 years old boy who wants to study more mathematics than he does at school. He seems quite talented, but his knowledge of maths is rather low. I would ...
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Studying topology: which first, algebraic or differential? [closed]
I have recently studying the basics of topology (ideas in point set, connectedness compactness) and I want to continue my studies but i'm interested in both differential and algebraic topology. which ...
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Mathematical statistical qm book-recommendation
I feel that there are quite a few good and rigorous books on the mathematical foundations of quantum mechanics, but I am currently looking for a book that covers mathematical statistical quantum ...
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First Explicit Irreducible Representations
Although the classification of simple Lie Algebras and their representations is fully understood, I wonder whether there is some book with exhaustive tables describing explicit irreducible ...
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Combinatorial designs textbook recommendation
Good evening, I am currently taking a class which has combinatorial designs as the first topic, we are using Peter Cameron's book Designs, Graphs, Codes and their Links which I am finding extremely ...
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Defining Gauss-Kronecker curvature for submanifolds of $\Bbb R^n$ and relation with ${\rm d}{\bf N}_i$'s
I'm trying to find a definition for Gauss-Kronecker curvature of submanifolds of $\Bbb R^n$, but I'm only finding it for hypersurfaces. I would like to know if someone knows any text which works in $\...
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Book on Convergence Concepts in Probability without Measure Theory [closed]
I am looking for a comprehensive book on Probability which discusses Convergence of Random Variables in detail, excluding portions of Measure Theory. Allan Gut's "Probability: A Graduate Course" seems ...
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A More Advanced Version of Aluffi's Chapter 0
This is a crosspost of this question from MSE.
Paulo Aluffi's Book, Algebra, Chapter 0 aims to teach basic algebra from a categorical viewpoint. The first chapters of the book, however, introduce ...
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