Questions tagged [reference-books]
Questions about books that can be used by instructors, administrators, or students as resources in mathematic-educational situations.
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Books with Glossaries
I am seeking example math books that have a glossary.
I would especially be interested in an example that has a list of symbols,
a glossary, and an index.
I am working on a book (aimed at graduate ...
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Demarcated "Proof Idea"
Michael Sipser's textbook Introduction to the Theory of Computation (now 3rd ed.) includes for each major theorem, a demarcated Proof Idea of length a paragraph to more than a page, prior to ...
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Programming and computation-focused textbook for introductory linear algebra
tl;dr I am looking for references which cover introductory abstract Linear Algebra but with a programming / computational approach. The only one I found is the Jupyter guide to Linear Algebra
Long ...
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Arithmetic books for adults
I'm trying to learn arithmetic from scratch again. Even though I can use it, I'm not sure if I can teach it to someone and I believe if you can't teach something properly, there might be loopholes in ...
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Book recommendation for Mathematical olympiads for a +2 student
My Mathematics Olympiads are approaching So I have not started the preparation yet. I need to have a better resource for +2(11th or 12th class basically a high school student) Olympiads so if you have ...
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What are examples of math-themed sci-fi appropriate for students?
What are examples of sci-fi books or short stories that have a mathematics theme? I'd like to have a pool of examples in mind that I could refer students to. The only example I've got in mind right ...
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What books teach the formula for the # of k-permutations of n objects, with x types, and $r_1,⋯,r_x$ = the number of each type of object?
Some of my 16 year old students hanker after the formula for the # of k-permutations of n objects, with x types, where $r_1, ⋯, r_x$ = the number of each type of object. This is more generalized than ...
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ELL textbooks for core university math?
Any references for core textbooks aimed at English language learners at the university level?
I have need of them for:
Calculus I-II-III,
Linear Algebra, and
Differential Equations.
Most of my ...
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How to encourage grade 5 kid very interested in mathematics?
My son is in Class or Grade 5 in India. he really likes mathematics. Apart from school work, he does ixl.com, website dedicated for math exercises of his class.
he does those exercises relatively ...
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Highly intuitive yet comprehensive and easily readable (student friendly) book on linear algebra which do not focus much on applications, just basics
I came to know about Gilbert Strang's two books, "Introduction to Linear Algebra" and "Linear Algebra and its Applications". The first is the one used as the text in the 18.06 ...
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Why are all educational textbooks copyrighted? ©
I had an idea to improve education in my country with the help of textbooks by popular authors. I thought to publish videos on YouTube with comments and practical explanations about what the author ...
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Pattern and Structure Mathematics Awareness Program (pasmap)
I am looking for a book or any resources related to this book. It is called Pattern and Structure Mathematics Awareness Program (there is a book one and book two).
I have tried to order it but it is ...
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Complex analysis books/resources where solutions are difficult to find
I am teaching complex analysis for undergraduates using the textbook Complex Variables and Applications, Brown and Churchill. I am looking for resources that I can use to find good problems for ...
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Would the SMSG textbooks provide adequate extracurricular study?
Context: I'm a Grade 11 IBDP student and very fond of math. Assuming that I get the spare time to self-study material alongside the syllabus, I wish to spend it constructively (the only step I've ...
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Introductory book or other resource on $p$-adic numbers/number theory/analysis
I am having problems understanding $p$-adic numbers/$p$-adic number theory/$p$-adic analysis. I have tried some notes on the internet, but these notes were not helpful.
Can anyone suggest a book, ...
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English translation of Sung-Dae Hong's The Art of Mathematics
The Art of Mathematics by Sung-Dae Hong is the standard high-school mathematics textbook in South Korea. The series gets new editions and reprints since 1966. Wikipedia has a page for it.
Had it ever ...
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Textbook to study group theory as a part of Discrete Mathematics
I am a student from CS background. I have been following "Discrete Mathematics and its Applications" by Kenneth Rosen, though it is a good book, but it does not cover group theory. I would like to ...
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Is there a 'statistics theory' course plan for practitioners?
My job is starting to have me delve into categories that require things like regression analyses on data sets, essentially I'm being introduced to "Data Science" type material. Coming from a ...
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What does it take to find a good math book for self study?
I'm 20 and I never learned math properly in my highschool. I found my interest in math last year and I've been searching for books since then.
I tried Khan academy but I have difficulty paying ...
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Best resources for probability/statistics textbooks
I'm looking for a good textbook introduction to probability/statistics that a first/second year undergrad math student could use! I'd like a book that emphasizes theory over procedure. I'd prefer an ...
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Is There Book on Collection of Theorems? [closed]
For example, there is a book titled "Synopsis of Elementary Results in Pure and Applied Mathematics: Containing Propositions, Formulae, And Methods Of Analysis, With Abridged Demonstrations" (...
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What do I study in calculus beyond the minimum required for undergraduate engineering?
I am majoring in aerospace engineering.
I love math a lot, especially calculus. I have a lot of free time right now and I want to learn more stuff in calculus that would be helpful for my major but I ...
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High school maths textbook for talented students
I am looking for a math textbook. I'm 15 and I'd like to complete
algebra 2 geometry and perhaps something about probability/ number theory or trigonometry would be nice too. Later I wanna do ...
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What books are good for drawing an intersecting plane?
I am looking for textbooks pertaining to drawing intersecting planes, intersecting point (among others) as follows.
I am not sure this topic is taught in high school around the globe. That is why I ...
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Book recommendations on mathematics education focusing on geometry
I will be teaching Euclidean geometry to future teachers, and I am feeling a bit lost (I know geometry, but I am not that familiar with mathematics education).
Is there some recent (as concise as ...
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According to Nathan Jacobson, what is Intermediate Algebra and Advanced Algebra?
Nathan Jacobson's Basic Algebra I, II covers many topics in Algebra that is probably even beyond many pure mathematics full professor's scope of knowledge, unless the professor is specialised in ...
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Reference request: undergraduate combinatorial topology
I teach at an American research 1 university. I am planning a course on combinatorial topology for undergraduates whose background is:
multivariable calculus
linear algebra
at least one proof course
...
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Recommend a vector calculus textbook/resource with an algebraic geometry flavor
Is there a resource or textbook that presents the basics of vector calculus, specifically the gradient, directional derivatives, curves and surfaces, and extrema, from a more algebraic geometry ...
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books to teach K-12 math/science via real-world approach?
I volunteered abroad in rural Ethiopia and a village in a remote mountainous area of China. I plan to return to both places and teach for as long as I can make it work. I want to focus on STEM, but ...
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Material on tutoring university level math classes
Can anyone recommend online or printed sources on anything related to teaching university level math tutorials (that accompany a lecture course taught by someone more senior, but I'd also be happy ...
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Dissemination of mistakes in international texts such as the IGCSE
I started tutoring IGCSE Mathematics. In preparation for just a 1 hour class for 1 student, I noticed at least 3 mistakes (confirmed with their replies to me) in Chapter 21 of the Haese 0607 book (...
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Easy and good book on combinatorial problems
I am searching for a book on combinatorics and/or mathematical puzzles for very beginners in easy English. The book should not contain detail mathematical expressions, will contain easy understanding ...
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Need scientific source to prove the difference between arithmetics/calculus and real mathematical skills
For research about cognitive information retention, I'm trying to find a scientific reference where they explain the difference between the capability to apply real mathematical skills (entailing ...
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Inspirational Mathematics Books for Teenager
My daughter is in 6th grade. She likes mathematics, i.e., she likes to learn mathematics at school, is also good at what she has learned at school and is rather quick at picking new things. However, ...
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Reinforcement mathematics thinking of 10 years old child by teaching "patterns"
As Lynn Steen in The Science of Patterns says, I think Mathematics is the science of pattern ...
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Literature on teaching and learning probability
In an earlier question, the book Exploring Probability in School (2005) (Link) was mentioned. It gives an overview of the research on the teaching and learning of probability up to that point.
Does ...
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SMSG Materials Available
Do you know anyone or any institution interested in accepting a donation of a relatively complete set of SMSG Materials?
I post offering to donate a small collection of School Mathematics Study Group ...
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Expository/accessible source on computability/undecidability
Are there any expository books or articles on computability that are accessible to the general public on the order of Simon Singh's math popularizations (The Code Book)?
I'm looking for one with lots ...
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What books are like Knuth's Surreal Numbers?
I'm looking to find more examples of books which bridge the gap between "story" and "mathematics" using narrative and all those other wonderful features we might find in Harry Potter or some other ...
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Looking for a reference for highschool level readers
I was wondering if there exists a book that talks to highschool level audience who wish to study pure mathematics for their undergraduate years. I'm not talking about problem solving kind of books (I'...
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How to teach calculus (book recommendation)
I'm going to teach calculus for the first time to undergraduate students. I would like to know if there is some book about how to teach the concepts of calculus (e.g. limits, derivatives, etc.).
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Brief book on calculus to read before studying the analysis
I am going to start studying the analysis texts (Rudin-PMA, Apostol-MA, Pugh-RMA) on the first week of August. I have a good proof skills through working on Artin's Algebra and Hoffman/Kunze's Linear ...
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Importance of "Calculus->Analysis Transition Books"?
E.S.E. advisers,
I am a college sophomore with a major in mathematics and an aspiring mathematician in the fields of computation theory and cryptography. I am always curious about the importance of "...
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Seeking Your Recommendation on Problem-Solving Books (preparing for Putnam)
E.S.E advisers,
I am a college sophomore in US with a major in mathematics and an aspiring mathematician in the computation theory and cryptography. I apologize for this sudden interruption but I ...
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Seeking your advice on books for abstract algebra and linear algebra
I am a college sophomore in the US with a major in mathematics and am an aspiring mathematician in the fields of computational complexity theory and cryptography. I would like to seek your advice and ...
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What is a good book to learn all of prealgebra?
I am an old man trying to learn math, starting off with prealgebra and need a good comprehensive book for it. The book should NOT contain annoying images like in most American textbooks or anything ...
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Resources for reading mathematics out loud in different languages
Are there reference books or online material for reading mathematics out loud in different languages?
For example, the expression1)
$$
\int x^2dx=\frac13x^3
$$
is understandable to anyone who has ...
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Teaching a very enthusiastic and bright 5 year old
I was asked to give extra lessons to a 5 year old boy who loves math (he says he likes 3 sports: football, swimming and math). However, I have never taught at this age and I am unfamiliar with the ...
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Ideas for math problem solving class for undergraduate students in university
In our university there is a huge gap between two group of students. a group of them came from Math Olympiad competitions and have a very strong background from high school but others, they have just ...
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References on British, German and French educational system
I'm writing a comparative study between mathematical teaching in my country (which sucks by the way) with others. However, I don't want to make it about today, globalization gives us a good notion of ...
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