# Mathematics and statistics textbooks on 2026/27 reading lists

**Which mathematics and statistics textbooks do students need, and how should they cite them?** Mathematics and statistics textbooks on 2026/27 reading lists cover calculus, linear algebra, proof, analysis, probability and statistical inference, beside decades-old classics, free open textbooks and R. Match the edition to the module's list, because sections and the problems set from them move between editions, cite from the copyright page in your department's style, and gather the books in EdCitation's Library.

Published 2026-09-23 by EdCitation. https://edcitation.com/newsletter/mathematics-and-statistics-textbooks

Mathematics and statistics textbooks stay on reading lists long after new editions appear. Edinburgh's second-year Further Analysis and Several Variable Calculus, running in 2026/27, lists Michael Spivak's *Calculus* as the W. A. Benjamin book of 1967 (University of Edinburgh, 2026b). And the edition decides where your homework is: in MIT's linear algebra readings, basis and dimension is section 3.5 of Gilbert Strang's fourth edition and 3.4 of the fifth (MIT OpenCourseWare, 2010).

EdCitation wrote this guide from lists read on 23 September 2026: Edinburgh, York, Cambridge and the London School of Economics for 2026/27, Southern Utah University for Fall 2026, and MIT OpenCourseWare. It covers the kinds of book, editions, citing with [Cite a source](https://edcitation.com/cite) and checking with [Verify references](https://edcitation.com/verify-references), and ends in the [Library](https://edcitation.com/tools/library), where EdCitation gathers the books.

## What books are on a maths or statistics reading list?

A maths or statistics reading list sets a book or two per module: calculus, linear algebra, proof and probability in the first year; analysis, algebra and statistical inference in the second; and R from the start. Some modules set none: Edinburgh's first-year Introduction to Mathematical Analysis gives its list as "None".

| Kind | Named on a 2026/27 or Fall 2026 list | Where |
| --- | --- | --- |
| Starting university mathematics | Houston, Alcock and Fuchs, by ISBN; Liebeck, *A Concise Introduction to Pure Mathematics*, 4th ed., 2016 | Edinburgh; York |
| Calculus | *Thomas' Calculus: Early Transcendentals*, 15th ed. in SI units, free as an e-book; Stewart, 9th ed., with WebAssign; Lyryx's open textbook | York; Southern Utah; York |
| Linear algebra | Strang, Nicholson and Feeman, no edition; Axler, *Linear Algebra Done Right*, "Essential"; Schneider and Barker | Edinburgh; Southern Utah |
| Analysis | Spivak, 1967; Marsden and Tromba, 6th ed., 2012; Burkill, 1978; Apostol, 1967-69 | Edinburgh; Cambridge |
| Probability | Grimmett and Welsh, 2nd ed., 2014; Ross, 2009; Feller, 1968; Blitzstein and Hwang, 2019 | Cambridge; Edinburgh |
| First statistics | Dekking and colleagues, 2005, with R; Larson, *Elementary Statistics*, 8th ed., 2023 | York; Southern Utah |
| Inference and models | Larsen and Marx, 6th ed., 2017; Casella and Berger, 2001; Faraway, *Linear Models with R*, 2004; Wood, 2015 | LSE; Cambridge; York |
| Every title above | EdCitation's [Library](https://edcitation.com/tools/library), by title, author or ISBN | References from [Cite a source](https://edcitation.com/cite) |

Sources: the Edinburgh, York, Cambridge, London School of Economics and Southern Utah pages under References.

### Classics and problem books

Cambridge's schedules mark with † the books "particularly well suited" to each course and keep out-of-print titles listed because college libraries hold them (University of Cambridge Faculty of Mathematics, 2026). Separate problem books are rare: the one we found is Esmonde and Murty's *Problems in Algebraic Number Theory*, marked † for Number Fields, a third-year course. Elsewhere the exercises sit in the textbook, and Axler's fourth edition added more than 250 (Axler, n.d.).

### Open textbooks, free and legal

Nicholson's *Linear Algebra with Applications*, on Edinburgh's linear algebra lists, is an open textbook under CC BY-NC-SA (Nicholson, 2023). Axler publishes the fourth edition of *Linear Algebra Done Right*, which Edinburgh's Linear Algebra 2 calls essential, as an Open Access book under a Creative Commons BY-NC licence (Axler, n.d.). York's Multivariable Calculus & Matrices is based on "a free open source calculus textbook" from Lyryx (University of York, 2026d). Edinburgh's Introduction to Data Science points to two books free online, *R for Data Science* and OpenIntro's *Introduction to Modern Statistics* (University of Edinburgh, 2026c). More: [free textbooks you can use legally](https://edcitation.com/newsletter/where-to-find-free-textbooks-legally).

## Does the edition of a maths textbook matter?

Yes, whenever problems are set by section, so keep to the edition on your list. MIT's 18.06 taught from Strang's fourth edition and printed separate readings for the fifth, because from chapter 3 on the sections differ (MIT OpenCourseWare, 2010). A sixth edition followed in 2023 (Strang, 2023).

LSE's ST102 recommends Larsen and Marx's sixth edition, adding "earlier editions are also fine" (London School of Economics and Political Science, 2026). Cambridge advises reading library copies before buying, since a book seldom matches a course's schedule.

### Mistakes on the lists themselves

Take names and dates from the title and copyright pages, not the list. Edinburgh's Linear Algebra 2 spells Nicholson "Nicolson" (University of Edinburgh, 2026e). York's entry for Alcock's *How to Study for a Mathematics Degree* names "EBSCOhost" as an editor (University of York, 2026c), a database APA leaves out of references (American Psychological Association, 2020a). York dates that book 2013; Edinburgh's ISBN for it, 019163736X, returned 2012 from Cite a source. The copyright page decides.

## How do I find the right edition by ISBN or title?

Search by ISBN when the list prints one, by author and title when not, and take the year from the copyright page, which APA uses whatever the release date (American Psychological Association, 2020a).

1. Note the list's wording, ISBN and all. Edinburgh's Introduction to Mathematics at University and Southern Utah's statistics syllabus print ISBNs; most lists here do not.
2. Look the ISBN up in EdCitation's [Cite a source](https://edcitation.com/cite), with no account and no fee. Fuchs's 9781009096287 returned Cambridge University Press, 2023. Strang's fifth edition, 9780980232776, returned the 2016 Wellesley-Cambridge Press book with no author: the record names none, and Cite a source leaves the gap rather than invent one.
3. Check a second record. Dekking and colleagues' hardback ISBN returned 2007, with the series name inside the title; the book's DOI returned 2005, the copyright year on Springer's page (Dekking et al., 2005).
4. No ISBN? Type the title into EdCitation's [Library](https://edcitation.com/tools/library) and compare each record's publisher and year with the list.
5. Then get it: a shop link, a nearby library's copy, or a place in My Books meanwhile.

## How do I cite a maths textbook, a paper, R or a data set?

Cite in your department's style, from the book in your hands. York's library lists Mathematics under the AMS and LMS styles, "check departmental guidelines" (University of York Library, 2026b). Reading's mathematics and statistics department asks for Harvard or, where space is short, a numbered style like the American Mathematical Society's (University of Reading Library, 2026). EdCitation's [Cite a source](https://edcitation.com/cite/harvard) sets Harvard (Cite Them Right), APA 7, IEEE, Vancouver, MLA 9 and Chicago 18 author-date, each looked up in the publisher's record, never written. It does not make AMS or LMS.

### AMS style, by hand

Follow York's AMS/LMS guide, which links the societies' own: numbers in square brackets, the list alphabetical by author, each entry ending with a MathSciNet number (University of York Library, 2026a). Efron and Tibshirani (1986), by that pattern:

[1] B. Efron and R. Tibshirani, *Bootstrap methods for standard errors, confidence intervals, and other measures of statistical accuracy*, Statist. Sci. **1** (1986), no. 1, 54–75, DOI 10.1214/ss/1177013815. MR833275

### Statistical tables, in Harvard

No page read here sets a book of tables. From ISBN 9780521484855, Cite a source returned: Lindley, D.V. (1995) *New Cambridge statistical tables*. 2nd edn. Cambridge: Cambridge University Press. The publisher's page names a second author, W. F. Scott (Lindley & Scott, 1995), and Reading's Cite Them Right examples give no place of publication. So:

Lindley, D.V. and Scott, W.F. (1995) *New Cambridge statistical tables*. 2nd edn. Cambridge University Press.

### A classic reprint and a chapter, in APA 7

Southern Utah's Fall 2026 Linear Algebra sets Schneider and Barker (Southern Utah University, 2026c), whose 1989 Dover paperback reprints the Holt, Rinehart and Winston edition of 1973 (Dover Publications, n.d.). ISBN 9780486660141 returned "Schneider, H. (1989). *Matrices and linear algebra* (2nd ed.). Dover Publications." Barker is missing: the record names Barker only in its statement of who wrote the book. APA dates a republished book by the reprint and adds the original year (American Psychological Association, 2020a):

Schneider, H., & Barker, G. P. (1989). *Matrices and linear algebra* (2nd ed.). Dover Publications. (Original work published 1973)

In the text: (Schneider & Barker, 1973/1989). APA gives no separate reference to a chapter of an authored book: reference the book and put the chapter in the citation (American Psychological Association, 2020c). Dekking and colleagues' book has authors, not editors, so its chapter on conditional probability is (Dekking et al., 2005, Chapter 3).

### R and a data set, in APA 7

Type citation() in R for R's own entry, or its BibTeX for LaTeX; the year is the release year of the version you used (Hornik & R Core Team, 2026): 2026 for R 4.6.1, released in June (Comprehensive R Archive Network, n.d.). In Cite a source, R's DOI, 10.32614/R.manuals, returned R Core Team as the author and the year its record carries, 2000. APA's software pattern adds the version and "[Computer software]" (University of Queensland Library, 2026):

R Core Team. (2026). *R: A language and environment for statistical computing* (Version 4.6.1) [Computer software]. R Foundation for Statistical Computing. https://doi.org/10.32614/R.manuals

For a data set you analysed, the Iris DOI, 10.24432/C56C76, returned an entry that stands as APA's data set pattern has it (American Psychological Association, 2020b), the creator's name split from the single string the record holds:

Fisher, R. A. (1936). *Iris* [Data set]. UCI Machine Learning Repository. https://doi.org/10.24432/C56C76

More cases: [how to cite a book or ebook](https://edcitation.com/newsletter/how-to-cite-a-book-or-ebook).

## How do I find papers and check the finished list?

Find papers with EdCitation's [Find sources](https://edcitation.com/), across about 300 million published works, then run the whole list through [Verify references](https://edcitation.com/verify-references). "Bootstrap confidence intervals", with Source type set to Article, Field to Mathematics, Free to read ticked and Most cited first, returned 69,177 works, led by Efron and Tibshirani (1986), cited 3,649 times. That day the search answered from Crossref and reported Open access and Field as filters it could not apply right now.

The corrected entries then went into Verify references, and every one came back verified. Axler, Efron and Tibshirani, Iris and R matched by DOI, R's 2026 release year accepted against a record that dates the software 2000, since software is cited by the version used; Lindley and Scott matched a published record; Schneider and Barker a library catalogue record, edition and year included. None came back "Could not check"; when one does, an index did not answer in time, which is not "Not found": run it again a minute later.

## Is there one place for every maths and statistics book on my list?

Yes: EdCitation's [Library](https://edcitation.com/tools/library), the best tool for the job, because maths lists span more than half a century and many publishers. This guide's books run from Feller's 1968 volume to Axler's 2024 edition, and tracing them took more than fifteen university, publisher and author pages. The Library holds them in one catalogue, searched by title, author, subject or ISBN, or by one of 31 disciplines.

### Four searches, and what they show

On 23 September 2026 the Mathematics discipline held 201,452 books, 20,627 of them textbooks; Statistics held 2,384 textbooks. Grimmett and Welsh's *Probability* appeared as one record dated 1986, carrying ISBN 9780198709978, which Cite a source dates 2014: the ISBN, not the record's year, tells you the edition. *Linear Algebra Done Right* returned four records from 1996 to 2016, so the open fourth edition is read on Axler's site.

Every result is a card: cover, authors, publisher, year, and a mark for whether it opens in the Library or must be bought. The card is where the next step happens: a paid book's shop page, the nearby libraries that stock it, a place in My Books, a reference in one click. With Max come more than 5 million books to read or borrow, all in one place: a collection EdCitation compiled.

### Prices, plainly

No payment is needed to search the catalogue, keep My Books, follow a shop link or locate a library copy: a free EdCitation account covers them. Max, at $24 a month or $216 paid yearly, adds the reading and borrowing, and Theoretics QA with them. The three free tools in this guide work without signing in; [Pricing](https://edcitation.com/pricing) compares the plans. Neighbouring subjects: [computer science](https://edcitation.com/newsletter/computer-science-books-and-textbooks) and [economics](https://edcitation.com/newsletter/economics-textbooks-in-one-place).

## Quick questions

### Which edition of Strang's Introduction to Linear Algebra should I use?

The one your course names. MIT's 18.06 taught from the fourth and gave separate readings for the fifth, whose sections moved; a sixth appeared in 2023.

### Is Linear Algebra Done Right free?

Yes. Axler publishes the fourth edition Open Access under a Creative Commons BY-NC licence; Springer sells it in print.

### How do I cite R in APA 7?

Give R Core Team, your version's release year, the italic title, the version and "[Computer software]", the R Foundation for Statistical Computing and the DOI 10.32614/R.manuals. EdCitation's [Cite a source](https://edcitation.com/cite/apa) starts the entry from the DOI, R Core Team included; you add your release year and the version.

### Does EdCitation make AMS style?

No. It makes APA 7, MLA 9, Chicago 18 author-date, Harvard, IEEE and Vancouver. For AMS or LMS, follow York's AMS/LMS guide and your department.

### Can I keep all my maths textbooks in one place?

Yes, in EdCitation's [Library](https://edcitation.com/tools/library): search one catalogue by discipline, kind, language and year, bookmark titles into My Books, and with Max read or borrow from more than 5 million books.

## References

- American Psychological Association. (2020a). *Book/ebook references*. APA Style. [https://apastyle.apa.org/style-grammar-guidelines/references/examples/book-references](https://apastyle.apa.org/style-grammar-guidelines/references/examples/book-references)
- American Psychological Association. (2020b). *Data set references*. APA Style. [https://apastyle.apa.org/style-grammar-guidelines/references/examples/data-set-references](https://apastyle.apa.org/style-grammar-guidelines/references/examples/data-set-references)
- American Psychological Association. (2020c). *Chapter in an edited book/ebook references*. APA Style. [https://apastyle.apa.org/style-grammar-guidelines/references/examples/edited-book-chapter-references](https://apastyle.apa.org/style-grammar-guidelines/references/examples/edited-book-chapter-references)
- Axler, S. (n.d.). *Linear algebra done right*. Retrieved September 23, 2026, from [https://linear.axler.net/](https://linear.axler.net/)
- Comprehensive R Archive Network. (n.d.). *The Comprehensive R Archive Network*. Retrieved September 23, 2026, from [https://cran.r-project.org/](https://cran.r-project.org/)
- Dekking, F. M., Kraaikamp, C., Lopuhaä, H. P., & Meester, L. E. (2005). *A modern introduction to probability and statistics: Understanding why and how*. Springer. [https://doi.org/10.1007/1-84628-168-7](https://doi.org/10.1007/1-84628-168-7)
- Dover Publications. (n.d.). *Matrices and linear algebra*. Retrieved September 23, 2026, from [https://store.doverpublications.com/products/9780486660141](https://store.doverpublications.com/products/9780486660141)
- Efron, B., & Tibshirani, R. (1986). Bootstrap methods for standard errors, confidence intervals, and other measures of statistical accuracy. *Statistical Science*, *1*(1), 54–75. [https://doi.org/10.1214/ss/1177013815](https://doi.org/10.1214/ss/1177013815)
- Hornik, K., & R Core Team. (2026). *The R FAQ*. [https://cran.r-project.org/doc/FAQ/R-FAQ.html](https://cran.r-project.org/doc/FAQ/R-FAQ.html)
- Lindley, D. V., & Scott, W. F. (1995). *New Cambridge statistical tables* (2nd ed.). Cambridge University Press. [https://doi.org/10.1017/CBO9780511811906](https://doi.org/10.1017/CBO9780511811906)
- London School of Economics and Political Science. (2026). *ST102 Elementary statistical theory* [Course guide, 2026/27]. [https://www.lse.ac.uk/resources/calendar/courseGuides/ST/2026_ST102.htm](https://www.lse.ac.uk/resources/calendar/courseGuides/ST/2026_ST102.htm)
- MIT OpenCourseWare. (2010). *18.06 Linear algebra: Readings* (Spring 2010). [https://ocw.mit.edu/courses/18-06-linear-algebra-spring-2010/pages/readings/](https://ocw.mit.edu/courses/18-06-linear-algebra-spring-2010/pages/readings/)
- Nicholson, W. K. (2023). *Linear algebra with applications* (Version 2023-A-D). Lyryx. [https://open.umn.edu/opentextbooks/textbooks/linear-algebra-with-applications](https://open.umn.edu/opentextbooks/textbooks/linear-algebra-with-applications)
- Southern Utah University. (2026a). *MATH 1040-01: Statistical inference* [Syllabus, Fall 2026]. [https://my.suu.edu/syllabus/202630/MATH-1040-01/](https://my.suu.edu/syllabus/202630/MATH-1040-01/)
- Southern Utah University. (2026b). *MATH 1210-01: Calculus I* [Syllabus, Fall 2026]. [https://my.suu.edu/syllabus/202630/MATH-1210-01/](https://my.suu.edu/syllabus/202630/MATH-1210-01/)
- Southern Utah University. (2026c). *MATH 2270-01: Linear algebra* [Syllabus, Fall 2026]. [https://my.suu.edu/syllabus/202630/MATH-2270-01/](https://my.suu.edu/syllabus/202630/MATH-2270-01/)
- Strang, G. (2023). *Introduction to linear algebra* (6th ed.). Wellesley-Cambridge Press. [https://math.mit.edu/~gs/linearalgebra/ila6/indexila6.html](https://math.mit.edu/~gs/linearalgebra/ila6/indexila6.html)
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