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Questions tagged [book-recommendation]

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This tag is for questions about recommendation of books for some particular area, topic, problem. Use this tag together with (reference-request) tag.

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I am teaching a pre-calculus course (using the textbook by Michael Sullivan if it helps), and I realized that higher order functions seem to show up in with some frequency in pre-calculus and calculus....
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I'm reading into color theory and there were a few questions which I asked myself along the way, maybe you can put me forward to some source where I can find answers or give them directly. The ...
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I am looking for the book about advanced stochastic process. It may cover the following content: Stochastic matrices. Ex: $A(k)$, where $k$ is the time index. Stochastic process in space (not ...
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I would like this thread to contain possibly useful information about books and approaches on studying scheme theory for the first time. I'm truly sorry if one finds it inapproprite for this site, ...
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I am trying to teach myself differential geometry using Lee's Introduction to Smooth Manifolds. To test my understanding, and learn the subject better, I am looking for a good problem book in ...
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Paulo Aluffi's Book, Algebra, Chapter 0 aims to teach basic algebra from a categorical viewpoint. The first chapters of the book, however, introduce groups and rings using very basic categorical ...
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For context, I'm trying to get better at writing proofs, and, to that end, want to get better at recognizing proofs that are wrong in subtle ways. Recognizing incorrect proofs of true statements is ...
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So my understanding is that a while back a group of mostly French mathematicians, under the pseudonym Bourbaki, wrote a somewhat austerely written series titled "Elements of Mathematic(s)" covering a ...
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Currently, I am attempting to learn noncommutative geometry. My interests mostly lie on the boundaries of pure mathematics and theoretical physics, so I am not only interested in the mathematical ...
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I would like to learn new techniques for solving diophantine equations. I know how to solve diophantine equations with factorization over $\mathbb Z$ and $\mathbb Z[i]$, modular arithmetic, the Liftng ...
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I have been searching for problem books on advanced topics. By advanced I am referring to the undergraduate level and above. I am looking for something analogous to the olympiad type problem books ...
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The language of projective geometry is quite common in modern mathematics. For this reason I'd like to learn this subject, however, modern treatments are incredibly abstract. Now, I'm vaguely aware of ...
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I'll be taking the Math GRE subject test in a few months. I know that it is best to focus on being able to answer all the calculus, DEs, and linear algebra questions (and quickly). I'm a pure math ...
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Most textbooks I've seen so far are not concise enough for my taste and try to give way too much motivation. Or they're written with a too large focus on applications... Rudin wasn't bad contentwise, ...
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I'm reading John Lee's book Axiomatic Geometry and I enjoy it a lot. It includes a detailed treatment of Euclidean plane geometry with rigorous proofs from axioms. I'm looking for books about ...
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I plan on studying manifolds and differential geometry. I have heard good things about Morita's Geometry of Differential Forms/Characteristic Classes and Tu's Introduction to Manifolds/Differential ...
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I am a newcome to geometric measure theory, but I would like to learn it directly from the context of manifolds, without reference to an Euclidean ambient space. Do you recommend a book on this topic ...
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I only found this book incidentally while looking at Engelking's more well-known "General Topology". I posted a link here. https://www.scribd.com/doc/312511274/Engelking-Sieklucki-Topology-a-...
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I am reading the book Lie Groups by Duistermaat and Kolk. It is written in the preface that "the text contains references to chapters belonging to a future volume". I could not find this second ...
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I know there are books called Counterexamples in Analysis and Counterexamples in Topology. I wonder, is there a book about counterexamples in category theory? It does not necessarily have to be called ...
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I am trying to shift my research area from Pure math to math bio for various reasons. So whatever time I invested in my algebra is not of much use plus I have to make the basics of ODE and the ...
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I am a graduate student in partial differential equations. When I was reading the literature sometimes I came across concepts from geometry, such as curvature, Riemannian geometry, and so on. I took ...
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Edition On July 15 2021, the description of the question has been considerably modified to meet the requirement of making this question more OP-independent and thus more useful for general readers. ...
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I'm going to study in a possibly serious way the construction of Lebesgue measure. What are the advantages/disadvantages of the following two approaches in order to build the Lebesgue measure? ...
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I want to study the convergence concepts in statistics. I am mainly interested in topics like Convergence in Probability Convergence in Distribution Almost Surely convergence I can't seem to find ...
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I am a first year undergraduate student majoring in mathematics. Due to the travel ban caused by the Covid-19 outbreak, I am suspending my studies from my uni in the second half of the year (so I have ...
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I'm trying to go through Allen Hatcher's Algebraic Topology book: https://pi.math.cornell.edu/~hatcher/AT/AT.pdf But the "introduction" lost me completely. By someone's recommendation I skipped ...
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I am taking Abstract Algebra next semester and I would like to get a head start now. The assigned book for the class is Topics in Algebra by Herstein, but I have heard Algebra by Artin is superior. ...
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Are there any books regarding how curvature, torsion, etc., did born? When these math notions were used for the first time?
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I worked through Kleene’s Introduction to Metamathematics and am interested where we stand in the field 70 years later. What are some good text suggestions in modern metamathematics to follow this ...
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Combinatorics is my weakest Math Olympiad subject and nine out of ten times I am unable to solve a combinatorics problem from my country's mathematical Olympiads (India). I do not have a tutor nor any ...
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I'm looking for any relevant books/articles on the maths of cryptocurrency transactions. Also open to any resources that may have some cryptocurrency transactions but not it may not be the main bite. ...
Sam King's user avatar
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I am a student taking a course on optimization and we have a selection of three textbooks (in no particular order): Numerical Optimization by Jorge Nocedal and Stephen Wright, Springer Verlag; second ...
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What is the best book to learn generalized functions and what prerequisites are needed? I would like a book that helps build intuition but it rigorous enough and not overly complex. My background is ...
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Good day to you all. I'm currently an undergraduate student with quite a strong affinity for self studying certain topics which interest me. One area which has fascinated me for quite a while is ...
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I have read topology and algebraic topology by Munkres and I want to start low-dimensional topology. What is a good reference for starting low-dimensional topology?
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I sought a convergent subsequence of $\sin n$, and I met a proof that utilizes continued fractions. I always stumble upon things related to them as well. So, I would like to learn about them. What is ...
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I like problem solving. In fact, that is the reason I wanted to study mathematics; This is a field where I could learn the underlying logic of the results rather than just learning ideas even the ...
Avatrin's user avatar
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I'm looking for a good update reference covering the material in first three chapters of "Adams, Infinite loop spaces" (specially construction of delooping functors and group completion) with exact ...
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6 votes
1 answer
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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 ...
Landon Carter's user avatar
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6 votes
1 answer
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So the title pretty much says it all. I have completed a first course in Algebraic Number Theory (number fields, ideal factorization in the ring of integers, finiteness of the ideal class group, ...
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Next fall I will teach a class on "How to write proofs". Prerequisite is first-year calculus. The three textbooks I am considering are Hammack, Book of Proofs (3rd ed) Sundstrom, ...
mathflow's user avatar
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Soft Question: I know a lot of people dislike the definition theorem proof style of books but I love them. I don't mean the diffuclty of the orignal Bourbaki books, but the fact that they are self-...
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Section A.4 of the HoTT book states that the metatheoretic properties of Martin-Löf type theory (such as normalization and canonicity properties) can be proved using “standard techniques from type ...
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The classic "A Course in Arithmetic" by Serre comes without exercises. This is a little let down, and I would like to ask, if there are suitable problem sets, which can be used to accompany ...
Cornman's user avatar
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I would like to ask for references that may help me in tackling some of the advanced stochastic analysis books. I am interested in a variety of different areas, namely (1) Malliavin Calculus, (2) ...
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Are there any short notes on complex analysis and linear algebra (around 100 pages) with some exercises so I can refresh my mind on these two subjects? Initially, I had my study notes but I lost it ...
Nothing's user avatar
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Anatoly T. Fomenko has authored and coauthored a number of books on differential geometry and topology. He may be more known for other things, but I have been told his books are quite good for ...
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I am attending a course in Homological Algebra this semester, in the following special topics. I know that there are similar posts, but in this post I specifically ask to recommend me a combination of ...
Chris's user avatar
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I want to start stuyding complex analysis on a graduate level on my own (self study). I'm having trouble with diciding which one of the following books to use: Serge Lang's Complex Analysis or John. B....
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