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.
208
questions
4
votes
0
answers
109
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 ...
- 141
3
votes
2
answers
202
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 ...
1
vote
2
answers
1k
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 ...
- 4,015
3
votes
0
answers
137
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 ...
- 181
4
votes
2
answers
190
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 ...
- 141
4
votes
2
answers
237
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 ...
2
votes
2
answers
190
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 ...
- 29
2
votes
1
answer
314
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 ...
2
votes
3
answers
1k
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 ...
- 189
0
votes
1
answer
407
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 ...
1
vote
1
answer
190
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 ...
5
votes
5
answers
2k
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.
-3
votes
3
answers
905
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, ...
9
votes
1
answer
634
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 ...
- 533
0
votes
3
answers
188
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 ...
- 215
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 ...
- 163
4
votes
2
answers
131
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 ...
- 41
2
votes
2
answers
134
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&...
- 189
2
votes
1
answer
175
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 $2x+3=6−x$, ...
- 127
0
votes
2
answers
340
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
user16012
2
votes
2
answers
281
views
Looking for rigorous books to review geometry, trig, and precalculus
I've taken Calculus 1 and it's time to relearn because I've forgotten some of it. But it's been a couple months since I've done any solid mathematics. I was hoping for a book that would include ...
2
votes
1
answer
171
views
An intuitive (non rigorous) text book on graph theory which is student friendly with vivid illustrations
Background
Hello, I am an undergraduate in CS. I would like to study Graph Theory on my own (self-study) for a competitive examination (named GATE). It is an examination for undergraduates and as such,...
- 215
1
vote
2
answers
236
views
Should I do all the proof practice problems in How to Prove It, an intro to proofs book?
Like the title says. I am self studying intro to proofs(How to prove it by velleman) so I can start an introduction to analysis. I am wondering if I should complete all the exercises in the textbook(...
- 61
5
votes
7
answers
746
views
What is a good second book in high school geometry?
I have been looking at questions on Math Stack Exchange and I am frequently coming across topics that sound as if they could have been optional chapters in a high school geometry class, but I have ...
- 171
5
votes
2
answers
333
views
Why are most college level math textbooks black and white only?
Why are higher level math textbooks almost completely black and white? I can't think of any math textbooks on a subject more advanced than calculus that uses colors. Edited to add that the comments by ...
- 51
10
votes
2
answers
3k
views
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 ...
- 109
8
votes
1
answer
569
views
What famous graduate math textbooks use color?
I know that undergrad math books use colors, like Gilbert Strang in his undergrad Linear Algebra textbooks and Measure, Integration & Real Analysis by Sheldon Axler. Many first year calculus ...
user15364
3
votes
0
answers
59
views
Material and textbooks for CLIL learners
I have a quite broad questions. I'm a math teacher in Switzerland (high school level, school year 9-12). We teach following topics (among others): quadratic equations, quadratic functions, system of ...
- 131
4
votes
2
answers
147
views
What determines whether a textbook publishes all solutions to exercises?
Robert Ash (1935-2015) touts in the Preface to Real Variables with Basic Metric Space Topology,
I rely especially on one of the most useful of all learning devices: the inclusion of detailed ...
user15364
1
vote
2
answers
267
views
How can I convince authors to publish the Instructor's Solution Manual to students?
This question applies to solely books already accompanied by an ISM ("Instructor's Solution Manual) — access is restricted to instructors. Some don't even sell a SSM (Students' Solution Manual) ...
user15364
-1
votes
1
answer
111
views
Math elementary textbooks [closed]
I’m a master student in Turkey. I’m researching math textbooks from different counties to compare them for my thesis. However, it is really difficult to find them. I need your suggestions. Or is there ...
4
votes
1
answer
276
views
Looking for a calculus books with very specific requirements
I plan to record lectures for a MOOC on Calculus sometime next year. The MOOC is targeted at an undergraduate audience that comprises engineers, math majors as well as majors in the sciences, etc. ...
- 241
7
votes
6
answers
608
views
Statistics, for the mathematically rigorous
I don't know where I can find a rigorous statistics course or textbook. The closest thing I can think of is measure-theoretic probability theory, but I wouldn't really call that "statistics"....
- 385
2
votes
0
answers
78
views
Reference request for 1960s-1970s Australia/NZ primary-level textbooks
Where could I find a list, and ideally discussion, of primary school mathematics schemes (textbook series) in common use in Australia and New Zealand in the period immediately following decimalization ...
- 51
7
votes
2
answers
312
views
Single variable complex analysis textbook which uses differential forms
Is there any single variable complex analysis textbook which uses $\textrm{d}\bar{z}$?
Every single variable text I have found defines what a complex line integral with respect to $\textrm{d}z$ means, ...
- 19.5k
5
votes
1
answer
694
views
Choice of textbook for an undergraduate abstract algebra course
Currently a 5th year PhD student, and I've been fighting tooth and nail to teach one of our junior-year honors sections in undergraduate algebra next fall (desperately hopeful we'll be able to return ...
1
vote
2
answers
187
views
Where can I find a good course on tensor calculus not focused on applications and physics?
Where can I find a good course on tensor/ricci calculus not focused on applications and physics?
I've been running into lots of tensor-theoretic stuff in differential geometry, so I don't know if ...
- 385
3
votes
2
answers
602
views
Teaching Mathematics to a Younger Sibling
I always wanted to teach my siblings mathematics, and one, ten years of age, is particularly eager. For the purposes of specializing recommendations, I will add he can use arithmetic up to ...
- 385
4
votes
6
answers
442
views
Applications of abstract algebra outside of mathematics and suitable textbook
The question What are some good mathematical applications to present in an abstract algebra course? asks about mathematical applications of abstract algebra.
What are some applications of abstract ...
- 4,318
14
votes
7
answers
11k
views
Why don’t American school textbooks recognize negative numbers as whole numbers?
Looking up for definition for whole numbers on Google yields a result which mentions:
The whole numbers are also called the positive integers (or the nonnegative integers, if zero is included).
I ...
- 151
0
votes
0
answers
127
views
Have you ever completely covered every topic in a textbook, and if so, which text?
Over the years of being a student or of being a teacher, it's occurred to me that I've never done every topic in a textbook. If it's a workbook that has a few introductory theory pages and then a few ...
user13544
3
votes
1
answer
414
views
Is there an arithmetic book similar to “Teach Your Child to Read in 100 Easy Lessons” by Siegfried Engelmann?
I have found Engelmann’s book (mentioned in subject) to be extremely effective. Is there an equivalent to this book for teaching Arithmetic? I believe the overall approach or method is called Direct ...
- 130
3
votes
1
answer
439
views
How much literature research should one do when designing a course?
For each mathematical subject on the undergraduate level there are many textbooks, often with quite different approaches to the subject. Some are just concise and rigorous, some focus on examples, ...
- 33
1
vote
2
answers
378
views
Are books as old as J.E. Thompson's "for the practical man" series outdated?
I'm sure Thompson's books were a fine series back in his time, but are they still worth recommending for, say, interested high-school students or prospective college students that want to brush up ...
- 240
1
vote
0
answers
173
views
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 ...
- 111
5
votes
2
answers
225
views
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, ...
1
vote
2
answers
195
views
What are the resources to learn prerequisite knowledge to latter High school and undergrad prep textbooks?
I use textbook study and am planning on studying Spivak's Calculus, Mathematics It's Content, Methods, and Meaning, How to Prove it by Velleman, etc. However, I'm worried I lack the prerequisite ...
1
vote
1
answer
54
views
Reference Request: Suitability of a text and corresponding video lecture series request for "Matroid Theory"
I am an undergraduate student from the CS background.
While reading a portion of the text "Introduction to Algorithms" by Cormen et. al. I came across a section of Matroids. I was unable to ...
- 215
3
votes
1
answer
329
views
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 ...
- 131
3
votes
4
answers
459
views
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 ...
- 215