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Questions tagged [textbooks]

Questions about comparison of textbooks, the use of textbooks in mathematical education, requests about textbooks dealing with a specific topic in a specific way.

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70 views

Writing Up Solutions To G.H. Hardy's A COURSE IN PURE MATHEMATICS?

Ok, this may be a ridiculous question and if so, you guys will shut it down. But I didn't know where else to ask it-it certainly doesn't belong on Math Overflow. Does anyone know if anyone ever ...
3
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0answers
95 views

On concentration inequalities [closed]

I would like suggestions for a good text on concentration inequalities (examples here https://en.wikipedia.org/wiki/Concentration_inequality). I am looking for sources (texts) that can give strong ...
1
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0answers
94 views

I’m considering buying Art of Problem Solving. For those who read it, what’s your review of it? [closed]

As you know, Art of Problem Solving includes 11 books that comes with their solutions and they are PreAlgebra, Introduction to Algebra, Introduction to Counting and Probability, Introduction to ...
8
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4answers
243 views

Should I go over examples straight from the textbook in Calculus lectures?

Let's say I'm teaching an undergraduate Calculus 1 course using Stewart's Calculus textbook. Should I spend a fair amount of time in lecture doing examples that are taken straight from the textbook ...
3
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4answers
154 views

What are standard (or good) textbooks for undergraduate graph theory?

I'll be teaching graph theory this fall for the first time. The only undergraduate graph theory book I am familiar with is Doug West's book, which I like. But I'd like to consult some other ...
3
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2answers
102 views

Supplemental text for undergraduate real analysis

Context: I am an assistant professor at a small college in the US. Next semester I am teaching real analysis for the first time, and we are using Steven R. Lay's book. (It also happens to be the ...
7
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3answers
1k views

Why don't textbooks foreground marginally generalized theorems?

'Marginally generalized theorems' refers to theorems that were generalized so marginally that they can still be taught, and understood by the students, in the same course. Examples of theorems NOT ...
9
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0answers
98 views

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 ...
3
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3answers
110 views

English book for math for (electrical) engineering similar to German “Higher Mathematics”

Many universities in Germany have special math courses for engineers. These courses are often called "Höhere Mathematik" (higher mathematics) or "Ingenieursmathematik" (engineering mathematics). The ...
4
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1answer
84 views

Is there a way to report errors in K-12 textbooks?

I imagine it varies by publisher, but I was just working with a student who uses the textbook Big Ideas Math Accelerated: A Common Core Curriculum by Larson and Boswell, and I found an error within ...
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0answers
78 views

High school mathematics textbooks across the world [closed]

I come from India and am familiar with the textbooks used for high school mathematics. While it is clear that almost all students will be learning certain core topics like calculus, trigonometry and ...
7
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3answers
308 views

Teaching Calculus Less Formally

I'm wondering if anyone knows of calculus books or other work towards teaching calculus in a less mathematically rigorous way. I'm thinking mostly of American-style college level calculus courses ...
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0answers
89 views

Which book to use concurrently with each of these mathematics texts?

I'm in search of a good book that I can read --- and recommend to my proteges to read --- along with each one of the following books. Topology by James R. Munkres, 2nd edition Introductory ...
4
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3answers
204 views

Could you recommend a book for studying calculus 1?

I would like to practice a large quantity of exercises from limit calculation, derivatives, sequences and series and finaly integrals.
2
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1answer
99 views

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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1answer
133 views

What textbook is this chapter from? [closed]

I was looking for a good explanation text on single-variable calculus, especially limits, introduction and examples. I found this pdf and I really like it and would like to read the whole book. I was ...
10
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1answer
234 views

Is Lax's Linear Algebra and its Applications comprehensive or idiosyncratic?

I'm looking for a good abstract linear algebra text (i.e., not matrix crunching) for students who have completed a Strang-level linear algebra course plus exposure to a proof writing (e.g., induction ...
8
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1answer
1k views

Odd or Even-Numbered Answers in Textbooks

Why do some math (and science) textbooks/solution books only include answers to odd- or even-numbered problems? Some textbooks have a separately purchased answer book with the missing answers, while ...
7
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2answers
142 views

“Personalized System of Instruction” (PSI) vs. “Individually Prescribed Instruction” (IPI)

This question may be a bit overly-broad for MESE, but I am hoping to find some responses that can help to fill in my understanding of two similar forms of instruction that had their heyday in the ...
3
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1answer
108 views

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 (...
13
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1answer
285 views

Why are hand waving arguments made in textbooks of undergraduate analysis and how should readers deal with them?

Having read several undergraduate textbooks in complex analysis (Stein-Shakarchi, Gameline, etc.), I find that some "hand-waving" arguments are frequently used. An example (the proof of the Cauchy ...
4
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3answers
117 views

Sites/books with math problems for bright 5th graders

I'm looking for sites, or books, for bright 5th graders or above, with math problems and respective solutions.
10
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5answers
1k views

Book request: teaching proving and reasoning at an American university

I am a European postdoc who recently teaching at a large public university in the United States. I will have to teach a course for undergraduate students that introduces them to proving and reasoning ...
11
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3answers
259 views

Without a constraint of time, is self-study with math textbooks better than college courses?

This question is about mathematics only. My forethought is that courses are usually based on textbooks, but they have less content than the textbooks. There are less problem sets, and chapters are ...
0
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1answer
75 views

Text book on real analysis for undergrad in statistics

May I get some recommendation on text book on real analysis for undergrad in statistics? Thank you.
2
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4answers
186 views

The sequence of chapters

I'm using a textbook but in my course the chapters are numbered differently. For example, the book has the following chapters: Real Numbers Square Roots Polynomial in a single variable (they don't ...
6
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4answers
273 views

What science books would you recommend a curious middle school student to read at home?

OK, this is not exactly a Math Education question, but in lieu of a functioning Science Education site and because in middle schools Math and Science are often taught by the same teachers, I'll ask ...
6
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2answers
107 views

Recommendation for an introductory operations research book

In the spring I'll be teaching introductory operations research at an undergraduate liberal arts college in the US. The target audience consists of applied math majors and students in our ...
10
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1answer
538 views

Is MacLane and Birkoff's “Algebra” suitable today as either an undergraduate or graduate text in abstract algebra?

I'm going to soon review the 3rd edition of Saunders MacLane And Garrett Birkoff's Algebra at my blog soon and this is the first time I'm really carefully reading it. While I'm really enjoying the ...
9
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0answers
169 views

Shanghai math — what is it, and how good is it?

Some schools in the UK are adopting English translations of a grade school math textbook from Shanghai. The book appears to be designed to work with a specific teaching approach, the only specifics ...
9
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4answers
356 views

Surrounding a subject and strangling it to death versus concentrating on the main point

Standard calculus textbooks begin by introducing limits, including limits of a fraction as the numerator and denominator approach $0,$ limits of a fraction as the numerator and denominator approach $\...
8
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2answers
133 views

Textbook search: learning the math required to read the newspaper

TL;DR: do you know of an undergrad textbook that covers numeracy with an emphasis on genuine context (as opposed to the artificial word problems that are all too common)? Less concisely: I am an ...
11
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4answers
525 views

The Order in Pre-Calculus Textbooks

Every Pre-Calculus I have examined starts with functions in general, then polynomial and rational functions, followed by exponential and logarithmic functions and Trigonometry, and ending with ...
6
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0answers
123 views

Which calculus textbook is aligned the most with the CollegeBoard course description?

The CollegeBoard website lists many AP calculus BC references. But it also mentions that "The materials on this List range in alignment from 59% to 100%." So, which of them is aligned the most with ...
41
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4answers
4k views

How to respond to “solve this equation” in a basic algebra class

I asked this question once on math.se, but don't follow the link unless you want to risk biasing your own response: https://math.stackexchange.com/questions/444696/how-to-respond-to-solve-this-...
6
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2answers
250 views

Looking for a “Stable” College Algebra Textbook

I have taught College Algebra several times and will teach it again in the next semester. College Algebra, according to the the catalogue of my college, is described as follows: This course ...
2
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1answer
80 views

Preparatory text/s for Boas' Mathematical Methods in the Physical Sciences? [closed]

Assuming that I remember only basic arithmetic, what (if any) mathematics must I learn before tackling Boas' Mathematical Methods in the Physical Sciences?
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2answers
159 views

Transitioning from 'Read textbook to learn' to 'Read original paper/Read paragraphs of textbooks'

I wanted to ask the following on Mathematics stack exchange, but checking the help centre, it appears that this site is more relevant: "Mathematical education, especially about teaching and pedagogy: ...
3
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1answer
223 views

Good Textbook for combined Beginning and Intermediate Algebra Course

We'd like to create a course that covers beginning and intermediate algebra in one course (8 hours a week), getting students ready to succeed in precalc and calculus. I am at a community college. I ...
5
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2answers
116 views

Great Worked-out examples books for Mathematics

I'm studying Mathematics in the UK. Back in Italy, where I am from worked-out problems books are very popular in mathematics and they are always recommended or compulsory at university. Going through ...
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4answers
613 views

What reasons are there preventing me from using an old edition text?

Background: I'm a final-year math student applying for faculty jobs at small schools in the US. I'm currently designing a few courses, and this questions has been bothering me for some time now: Why ...
4
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5answers
628 views

Reading Your Algebra Book

An algebra book requires a different type of reading than a novel or a short story. Every sentence in a math book is full of information and logically linked to the surrounding sentences. You should ...
4
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1answer
735 views

Teacher Edition vs Solution Key?

I have a copy of the "Teacher Edition" of a pre-calc textbook my students are using. It's similar to their text, but the pages are reduced a bit to offer room for answers and some commentary. Now I ...
6
votes
1answer
627 views

Most Commonly-Adopted Calculus Textbooks

I am looking for an article (or other source) that addresses the calculus textbook industry, specifically which calculus textbooks are most commonly adopted. I'm primarily interested in that of the U....
6
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2answers
241 views

Functional analysis text for junior-senior math majors?

I am looking for a good book for junior-senior US math majors on functional analysis. Some background and detail: Last semester I taught a special topics course in functional analysis to junior-...
7
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0answers
714 views

Teaching a Pre-Calculus Course using Basic Mathematics by Serge Lang

I am considering using Basic Mathematics by Serge Lang as the primary text for my High School Pre-Calculus course. My students have all spent a year working through the first six books of Euclid and ...
2
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1answer
166 views

Core-Plus Mathematics: Similar Resources for grades 7-9

I'm looking for rich educational resources similar to core-plus mathematics, for grades 7, 8, and 9. Is there any such material?
2
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2answers
460 views

Seeking a review of Integrated Math I

I hope I've picked the right group... My daughter is signed up for Integrated Math II next year in a California school. She's coming from a french school where the curriculum is different and is ...
4
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0answers
144 views

SMSG Calculus Usage?

Did anyone out there have experience with SMSG's Calculus text? Our school system (Amherst, MA) used SMSG texts from my 6th grade class onward. But for HS Calculus (1969) we didn't use the two-part ...
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1answer
135 views

Is there a remedial college textbook that includes basic logic?

Consider the case of a college remedial/developmental course; traditionally arithmetic and elementary algebra. If we had the opportunity to pick a new program for the course, and wanted to include ...