Skip to main content

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.

Filter by
Sorted by
Tagged with
0 votes
3 answers
430 views

What is this symbol called?

I know how to pronounce the first symbol as "theta", but the other symbol that looks like a circle with a vertical slash, I don't know what to call it. I would appreciate any help. Thank you
Teacher's user avatar
  • 17
6 votes
0 answers
152 views

What are the differences between the $n$ permutations of the Edwards & Penney Differential Equations books?

Edwards and Penney are the authors of a popular differential equations textbook. Bizarrely, there seem to be $2^4$ permutations of the title: Some versions have "Elementary" and some don't ...
SRobertJames's user avatar
-1 votes
1 answer
226 views

Does some textbook on probability use a particular way (described here) of accomplishing the segue into continuous distributions?

Imagine an introductory probability course that assumes the students have had first-year calculus and understand mathematical reasoning. At some point in such a course has explicated several families ...
Michael Hardy's user avatar
0 votes
0 answers
102 views

What books does a Chinese institution use in the undergraduate maths courses?

Can anyone share the books that a Chinese maths undergraduate follows during their course? Also what are some of the problem books and exam papers that the Chinese students use to become better in ...
Sillyasker's user avatar
5 votes
0 answers
173 views

Please identify this American elementary textbook series from the 1950s

I'm reading a book chapter (written in 1992) about the teaching of mental arithmetic and estimation techniques in elementary school. The author refers to a particular series of books as "Out-of-...
Dave's user avatar
  • 51
0 votes
0 answers
86 views

Looking for resources about visualizing in mathematics

I have learned some useful tools/books to visualize some MATH concepts: Visual Group Theory (MAA Problem Book Series) 1st Edition. The paired website with this book is GroupExplorer Visual Complex ...
138 Aspen's user avatar
  • 109
19 votes
4 answers
3k views

Whether to tell students how difficult (you think) a problem is

Background: Most textbooks end a section with a set of questions ranked either by topic or by difficulty. A distinction is often made between "exercises", which are for directly practicing a ...
Nick C's user avatar
  • 9,639
4 votes
0 answers
67 views

OER text for the mathematics of fair division

I'd like to design a course with a unit on fair division, and I'm looking for an OER text to use. The course will be a general education seminar, so students won't be expected to have any mathematical ...
Jared's user avatar
  • 2,223
2 votes
1 answer
257 views

Which Books Comprised The Houghton Mifflin Modern Mathematics Series

Around the 1960s a collection of math books by authors such as Mary P. Dolciani, William Wooton, Edwin F. Beckenbach, Ray C. Jurgensen etc. started to appear which were part of a series of books ...
fire-bee's user avatar
  • 173
9 votes
0 answers
161 views

Course materials for developing a mathematical theory from "natural questions to ask"

Educational setting. I'm teaching math courses - typically consisting of lectures, weekly homework sheets, and an exercise class where the homework questions are discussed - for undergraduate and ...
Jochen Glueck's user avatar
3 votes
0 answers
116 views

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 ...
Joseph O'Rourke's user avatar
26 votes
14 answers
9k views

How to teach pure mathematics to a well-educated adult who did badly in maths at school

My partner is a PhD student in philosophy and has recently developed a keen interest in learning pure mathematics. I am doing my best to teach her (I'm a pure maths PhD student myself) and it is ...
user829347's user avatar
6 votes
2 answers
365 views

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 ...
Joseph O'Rourke's user avatar
18 votes
7 answers
3k views

Do any middle-school texts indicate that irrationality requires proof?

I believe that most middle-school math curricula have at least a brief section about irrational numbers, in which students are taught (among other things) that $\sqrt{2}$ is irrational and $\pi$ is ...
Timothy Chow's user avatar
5 votes
0 answers
165 views

Comparison of texbook for "how to write proofs"

I posted this question in the math stackexchange https://math.stackexchange.com/questions/4681694/comparison-of-textbooks-on-how-to-write-proofs and one person suggested that I cross-post it here. I'...
underflow's user avatar
  • 151
4 votes
2 answers
241 views

Resources for teaching decimal numbers

I am currently teaching special classes to students whose ages range from 11 to 15 and there is quite a wide spectrum in their levels of maths. The lessons are given in English and we do not have a ...
user929304's user avatar
3 votes
5 answers
964 views

Best category theory textbook for undergraduate students

Title is pretty self explanatory. All recommendations welcome. Comments and answers which reject the premise of the question will be met with eye rolling. If I don't see a good enough answer I'll have ...
cheyne's user avatar
  • 280
4 votes
1 answer
162 views

How do you describe your experience using OER textbooks for calculus?

If you have used commercial as well as OPENSTAX OER textbooks for calculus I would like to know about your experience. How would you compare the two? Were there any disadvantages to using OpenStax?
Maesumi's user avatar
  • 1,410
6 votes
0 answers
111 views

Is there ADA-compliance certification for mathematics text books?

What factors are there to consider when adopting a text as far as ADA (Americans with Disabilities Act) is concerned? Is there a certification? What do you look for in the digital version of the text? ...
Maesumi's user avatar
  • 1,410
4 votes
2 answers
511 views

Proof by Contradiction vs. Proof of Negation

In constructive mathematics we make a distinction between "proof of negation" and "proof by contradiction". You can read a great account of the difference in this blog post of ...
Steven Gubkin's user avatar
0 votes
1 answer
113 views

Where can I find a summary of typical material (e.g., mathematics) taught in US elementaries and high schools?

The reasons for my question are complicated but basically I need information about different subjects, mostly languages (Eng, Spa, Fre), math, and sciences, as taught in different grades in elementary/...
Ascertained's user avatar
1 vote
0 answers
129 views

Math curricula\programs or any experience using "The Road to Reality" as the\a primary textbook

Primarily a reference request, collaborator search-tips requests, and question-improvement request (including improveent by deletion and re-posting to more appropriate stack, meta, wiki, etc). Rank ...
Ayer AGG'TDd'E-A's user avatar
4 votes
1 answer
162 views

About instructor's manual in math textbooks: principles, design, uses and impact

It is common that school math textbooks are supplemented with instructor's materials (answers, hints and guidelines). Are there scientific studies on how instructor's materials impact math teaching? ...
Humberto José Bortolossi's user avatar
0 votes
1 answer
95 views

Suggestion for IB program Analysis and Approaches SL book?

What is the most suitable book for the IB program Analysis and Approaches SL for a student with significant weaknesses? I had suggested the book from HAESE Mathematics yet he finds it particularly ...
Athanasios Paraskevopoulos's user avatar
2 votes
3 answers
259 views

Where to learn axiomatic geometry from Hilbert's axioms?

I have found that math is relative easy for me to study but I have problems in geometry. I often omit some obvious steps as I think the problem visually but not from axioms. What would help me for ...
guest's user avatar
  • 23
1 vote
0 answers
180 views

What is the text for "the other second-term course in analysis at MIT?"

My question comes from first few paragraphs of preface of "Analysis on Manifolds" by James R. Munkres, as excerpted below: A year-long course in real analysis is an essential part of the ...
zzzhhh's user avatar
  • 111
7 votes
6 answers
782 views

Why don't exercises ask readers to discover results themselves, before requiring proof? Why disclose the result in the question?

How can students learn to discover results themselves, if textbooks just spoonfeed them right in the exercise, before asking them to prove it? Why don't these textbook problems educate students on ...
user131533's user avatar
5 votes
1 answer
292 views

Which books on geometry and topology are best for teaching an intro graduate course?

I'm teaching a graduate (Master's) introduction to geometry and topology (e.g. some basics on manifolds, vector bundles, algebraic topology). What textbooks have you found are best for teaching a ...
David Corwin's user avatar
7 votes
3 answers
764 views

How can I internalize solutions/proofs to theorems and exercises?

In particular, my question is about abstract mathematics such as group theory, analysis, topology, etc. where most textbooks are filled with exercises which require proof, and how to go about ...
pyridoxal_trigeminus's user avatar
9 votes
3 answers
335 views

How do you know when a textbook is too difficult for you?

Not sure if this is more appropriate for here or for Math.SE, but here goes: How does one who is self-studying mathematics determine if a textbook is too hard for you? Math is hard in general, but ...
pyridoxal_trigeminus's user avatar
4 votes
0 answers
722 views

What are your experiences with Buck’s Advanced Calculus?

I stumbled across the book when searching for rigorous alternatives to Rudin with some solutions. It’s an “old school” (1965) calculus text but, I think, covers similar material to Rudin in a more ...
akm's user avatar
  • 141
3 votes
2 answers
286 views

How to understand the book and the material to the deepest possible level?

I'm a first year mathematics major and I have a problem with my learning process. In my university, I only have books and questions that the university published, so I have to learn the most of the ...
newmathstudent123123's user avatar
1 vote
2 answers
2k views

Is there a College Algebra book that was written by a world-class mathematician? [duplicate]

I have taught College Algebra several times and will teach it again in the next semester. College Algebra, according to the catalogue of my college, is described as follows: This course provides ...
Zuriel's user avatar
  • 4,275
2 votes
0 answers
157 views

Worldwide standard textbooks vs textbooks from one's home country vs lecture notes by various people - pros and cons

So far I've had three types of professors in my undergrad studies when it comes to choosing the main text for the course: Type A: these are the professors who pick some standard textbook(s) in English ...
MathIsCool's user avatar
4 votes
2 answers
223 views

How do you study subjects you're not that interested in

I'm an undergraduate who doesn't find analysis particularly interesting, but I'm taking a calculus on manifolds course next semester, so I'm reviewing measure and integration theory since my grasp on ...
Obamafish's user avatar
  • 141
4 votes
2 answers
400 views

Why has the chapter on second-order differential equations been moved to the website instead of being put in the book in Stewart Calculus 9th edition?

From the book The chapter on Second-Order Differential Equations, as well as the associated appendix section on complex numbers, has been moved to the website. It doesn't mention a reason in the ...
LostPositron's user avatar
2 votes
2 answers
200 views

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 ...
Jay's user avatar
  • 29
2 votes
2 answers
858 views

Is Stewart Calculus a good book for AP calculus exam prep?

I have some background from completing Silvanus Thompson's book, but I didn't fully grasp the later chapters in it. I'm going to use khan academy and maybe other resources as a supplement. How useful ...
LostPositron's user avatar
2 votes
3 answers
4k views

Singapore Math textbooks for secondary/"high school"?

Could anyone familiar with Singapore please tell me what is the name of a common textbook used for Math in Singapore's secondary schools? I am looking for topics covered for ages 14-18. I am very ...
Wasp's user avatar
  • 187
0 votes
1 answer
594 views

Wackerly (2007) vs. Larsen (2018) — Introduction to Mathematical Statistics

How does Dennis Wackerly, Richard L. Scheaffer's Mathematical Statistics with Applications, 7th Edition published in 2007 MATERIALLY differ from Richard J. Larsen, Morris Marx's Introduction to ...
user avatar
1 vote
1 answer
290 views

The Basic Practice of Statistics vs. Introduction to the Practice of Statistics

How does David S. Moore; William I. Notz; Michael Fligner's 2021 9 edn. The Basic Practice of Statistics differ from David S. Moore; George P. McCabe; Bruce Craig's 2021 10 edn Introduction to the ...
user avatar
5 votes
5 answers
3k views

Is Calculus Made Easy by Silvanus P. Thompson a good book for first-time calculus learners?

Specifically the one updated by Martin Gardner. I'm not studying as part of a high school or college course (I, in the near future, will though) just as a personal project.
LostPositron's user avatar
-3 votes
3 answers
1k views

Why so many single-variable calculus textbooks? But still no equivalents to Visual Group Theory or Complex Analysis for other subjects?

OUP published Visual Complex Analysis in 1999. MAA published Visual Group Theory in 2009. But no visualization counterparts have been published for other subjects like (Commutative) Algebra, ...
user avatar
9 votes
1 answer
804 views

Looking for copies of Vasily Vasilovich Davydov's mathematics curriculum

From The Development of Algebra in the Elementary Mathematics Curriculum of V.V. Davydov (by Jean Schmittau, State University of New York at Binghamton , and Anne Morris , University of Delaware ) one ...
athos's user avatar
  • 777
0 votes
3 answers
293 views

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 ...
Abhishek Ghosh's user avatar
6 votes
5 answers
1k views

How do math professors select textbooks?

I will describe what I mean by the above with an example. Suppose you are a professor, about to teach a first Calculus course in a university. There are dozens, if not hundreds, of calculus books out ...
Gauss's user avatar
  • 163
4 votes
2 answers
150 views

Textbooks with solutions and catering to different circumstances

Questions: Are we really taking students into account FULLY when writing textbooks for various areas? Also, are we being unintentionally elitist or dismissive when neglecting to take a more humble ...
EddieMath's user avatar
2 votes
2 answers
146 views

Arithmetical Progression

I recently came across a very old Algebra textbook from the 1860s, and on the chapter discussing "arithmetical progression", it says there are "20 cases for arithmetical progression&...
Wasp's user avatar
  • 187
2 votes
1 answer
191 views

When and where were textbooks that use set notation for basic algebra solutions?

A past question described a school where many teachers insisted that answers to algebra problems had to be phrased in set-theoretic language or notation. For example, when asked to solve $2x+3=6−x$, ...
Malady's user avatar
  • 133
0 votes
2 answers
1k views

manual solutions to graduate textbooks [closed]

Where can I find manual solution for textbooks like Advanced Linear Algebra by Rotman or Introduction to Smooth manifolds by Lee? any help would be appreciated
user avatar

1
2 3 4 5