Books in MIT OCW reading lists

Books in MIT OCW Mathematics reading lists

30 books, cited across 100 archived MIT OCW Mathematics courses. Not the current MIT curriculum or an institutional recommendation, and not a claim that these are every book any Mathematics course assigns.

Most-cited books in MIT OCW Mathematics courses: every work cited by 2+ distinct archived course offerings in this field, ranked by number of citing courses (ties: most recent citing year, then title).

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Most-cited

Most-cited books in MIT OCW Mathematics courses: every work cited by 2+ distinct archived course offerings in this field, ranked by number of citing courses (ties: most recent citing year, then title) -- 10-30 works, mechanically generated, not editorially curated. 30 works shown.

#1 most-cited Introduction to Linear Algebra

Gilbert Strang · Cited in 12 archived MIT courses

No free copy confirmed for the cited edition.

Show 16 citations and the exact courses

#2 most-cited Differential Equations and Linear Algebra

Gilbert Strang · Cited in 11 archived MIT courses

No free copy confirmed for the cited edition.

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#3 most-cited Linear Algebra and Learning from Data

Gilbert Strang · Cited in 11 archived MIT courses

No free copy confirmed for the cited edition.

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#4 most-cited Rational Points on Elliptic Curves

Joseph H. Silverman · Cited in 4 archived MIT courses

No free copy confirmed for the cited edition.

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#5 most-cited The Arithmetic of Elliptic Curves

Joseph H Silverman · Cited in 4 archived MIT courses

No free copy confirmed for the cited edition.

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#6 most-cited Computational Science and Engineering

Gilbert Strang · Cited in 4 archived MIT courses

No free copy confirmed for the cited edition.

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#7 most-cited A First Course in Probability

Sheldon Ross · Cited in 4 archived MIT courses

No free copy confirmed for the cited edition.

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#8 most-cited Elliptic Curves

James S Milne · Cited in 3 archived MIT courses

Read at jmilne.org ↗

The free copy is not confirmed to be the edition the course cites; page numbers and section numbering may differ. · Free to read at the source (no open license stated)

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#9 most-cited Nonlinear Programming

Dimitri P Bertsekas · Cited in 3 archived MIT courses

No free copy confirmed for the cited edition.

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#10 most-cited Numerical Linear Algebra

Lloyd N. Trefethen · Cited in 3 archived MIT courses

No free copy confirmed for the cited edition.

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#11 most-cited Advanced Topics in the Arithmetic of Elliptic Curves

——— · Cited in 2 archived MIT courses

No free copy confirmed for the cited edition.

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  • 18.783 Elliptic Curves · Spring 2021 · Undergraduate Unclear

    “———. Advanced Topics in the Arithmetic of Elliptic Curves . Springer-Verlag, 1994. ISBN: 9780387943251. ( Errata (PDF) ). Online version .”

    Listed; requirement unspecified · Syllabus · This course’s MIT OCW page ↗

  • 18.783 Elliptic Curves · Fall 2025 · Undergraduate Unclear

    “———. Advanced Topics in the Arithmetic of Elliptic Curves . Springer-Verlag, 1994. ISBN: 9780387943251. ( Errata (PDF) ). Online version .”

    Listed; requirement unspecified · Syllabus · This course’s MIT OCW page ↗

#12 most-cited Complex Analysis

Serge Lang · Cited in 2 archived MIT courses

No free copy confirmed for the cited edition.

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#13 most-cited Elementary Real Analysis

Brian S. Thomson · Cited in 2 archived MIT courses

Read at www.classicalrealanalysis.info ↗

The free copy is not confirmed to be the edition the course cites; page numbers and section numbering may differ. · Free to read at the source (no open license stated)

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  • 18.S190 Introduction to Metric Spaces · January IAP 2023 · Undergraduate Unclear

    “Thomson, Brian S., Judith B. Bruckner, and Andrew M. Bruckner. Elementary Real Analysis . CreateSpace Independent Publishing Platform, 2008. ISBN: 9781434841612. This book is available as a free PDF download (PDF - 5.96 MB) .”

    Listed; requirement unspecified · Syllabus · This course’s MIT OCW page ↗

  • 18.100B Real Analysis · Spring 2025 · Undergraduate, Graduate Unclear

    “Brian S. Thomson, Judith B. Bruckner, and Andrew M. Bruckner. 2008. Elementary Real Analysis . 2nd ed. ISBN: 9781434843678”

    Listed; requirement unspecified · Syllabus · This course’s MIT OCW page ↗

#14 most-cited Elliptic Curves in Cryptography

Ian F. Blake · Cited in 2 archived MIT courses

No free copy confirmed for the cited edition.

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  • 18.783 Elliptic Curves · Spring 2021 · Undergraduate Unclear

    “Blake, Ian F., Gadiel Seroussi, and Nigel P. Smart. Elliptic Curves in Cryptography . Cambridge University Press, 1999. ISBN: 9780521653749. [Preview with Google Books ]”

    Listed; requirement unspecified · Syllabus · This course’s MIT OCW page ↗

  • 18.783 Elliptic Curves · Fall 2025 · Undergraduate Unclear

    “Blake, Ian F., Gadiel Seroussi, and Nigel P. Smart. Elliptic Curves in Cryptography . Cambridge University Press, 1999. ISBN: 9780521653749. [Preview with Google Books ]”

    Listed; requirement unspecified · Syllabus · This course’s MIT OCW page ↗

#15 most-cited Elliptic Curves: Number Theory and Cryptography

Lawrence C Washington · Cited in 2 archived MIT courses

No free copy confirmed for the cited edition.

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  • 18.783 Elliptic Curves · Spring 2021 · Undergraduate Unclear

    “Washington, Lawrence C. Elliptic Curves: Number Theory and Cryptography . Second edition. Chapman & Hall / CRC, 2008. ISBN: 9781420071467. ( Errata (PDF) ) [Preview with Google Books ]. Online version .”

    Listed; requirement unspecified · Syllabus · This course’s MIT OCW page ↗

  • 18.783 Elliptic Curves · Fall 2025 · Undergraduate Unclear

    “Washington, Lawrence C. Elliptic Curves: Number Theory and Cryptography . Second edition. Chapman & Hall / CRC, 2008. ISBN: 9781420071467. ( Errata (PDF) ) Online version .”

    Listed; requirement unspecified · Syllabus · This course’s MIT OCW page ↗

#16 most-cited Primes of the Form \(x^2 + ny^2\) : Fermat, Class Field Theory, and Complex Multiplication

David A Cox · Cited in 2 archived MIT courses

No free copy confirmed for the cited edition.

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  • 18.783 Elliptic Curves · Spring 2021 · Undergraduate Unclear

    “Cox, David A. Primes of the Form \(x^2 + ny^2\) : Fermat, Class Field Theory, and Complex Multiplication . Wiley-Interscience, 1989. ISBN: 9780471506546. ( Errata (PDF) ). Online version .”

    Listed; requirement unspecified · Syllabus · This course’s MIT OCW page ↗

  • 18.783 Elliptic Curves · Fall 2025 · Undergraduate Unclear

    “Cox, David A. Primes of the Form \(x^2 + ny^2\) : Fermat, Class Field Theory, and Complex Multiplication . Wiley-Interscience, 1989. ISBN: 9780471506546. ( Errata (PDF) ). Online version .”

    Listed; requirement unspecified · Syllabus · This course’s MIT OCW page ↗

#17 most-cited Principles of Mathematical Analysis (International Series in Pure and Applied Mathematics)

Walter Rudin · Cited in 2 archived MIT courses

No free copy confirmed for the cited edition.

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  • 18.100C Real Analysis · Fall 2012 · Undergraduate Unclear

    “Rudin, Walter. Principles of Mathematical Analysis (International Series in Pure and Applied Mathematics) . 3rd ed. McGraw-Hill, 1976. ISBN: 9780070542358.”

    Listed; requirement unspecified · Syllabus · This course’s MIT OCW page ↗

  • 18.100B Real Analysis · Spring 2025 · Undergraduate, Graduate Unclear

    “Rudin, Walter. 1976. Principles of Mathematical Analysis (International Series in Pure and Applied Mathematics) . 3rd ed. McGraw-Hill. ISBN: 9780070542358”

    Listed; requirement unspecified · Syllabus · This course’s MIT OCW page ↗

#18 most-cited Basic Analysis I: Introduction to Real Analysis, Volume 1

Jiří Lebl · Cited in 2 archived MIT courses

Read at jirka.org ↗

The free copy is not confirmed to be the edition the course cites; page numbers and section numbering may differ. · Open license — can be shared (CC BY-NC-SA 4.0)

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  • 18.100A Real Analysis · Fall 2020 · Undergraduate, Graduate Unclear

    “Lebl, Jiří. Basic Analysis I: Introduction to Real Analysis, Volume 1 . CreateSpace Independent Publishing Platform, 2018. ISBN: 9781718862401.”

    Listed; requirement unspecified · Lecture Notes and Readings · This course’s MIT OCW page ↗

  • 18.S190 Introduction to Metric Spaces · January IAP 2023 · Undergraduate Unclear

    “Lebl, Jiri. Basic Analysis I: Introduction to Real Analysis, Volume 1 . CreateSpace Independent Publishing Platform, 2018. ISBN: 9781718862401. This book is available as a free PDF download . You can purchase a paper copy by following a link at the same site.”

    Listed; requirement unspecified · Syllabus · This course’s MIT OCW page ↗

#19 most-cited A Course in Arithmetic

Jean-Pierre Serre · Cited in 2 archived MIT courses

No free copy confirmed for the cited edition.

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#20 most-cited Algebraic Number Theory

Jürgen Neukirch · Cited in 2 archived MIT courses

No free copy confirmed for the cited edition.

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  • 18.786 Topics in Algebraic Number Theory · Spring 2006 · Graduate Recommended

    “Neukirch, Jürgen. Algebraische Zahlentheorie. (Algebraic Number Theory) . Translated from the German by Norbert Schappacher. Berlin, Germany; New York, NY: Springer, c1999. ISBN: 3540653996. This is a text I have taught from before, but it is unfortunately very expensive. It also assumes more comfort with commutative algebra (and related ideas from algebraic geometry) than one might like.”

    Listed as a recommended text (source label) · Syllabus · This course’s MIT OCW page ↗

  • 18.785 Number Theory I · Fall 2021 · Graduate Unclear

    “Neukirch, Jürgen. Algebraic Number Theory . Springer, 2010. ISBN: 9783642084737.”

    Listed; requirement unspecified · Syllabus · This course’s MIT OCW page ↗

#21 most-cited An Invitation to Arithmetic Geometry

Dino Lorenzini · Cited in 2 archived MIT courses

No free copy confirmed for the cited edition.

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#22 most-cited Commutative Algebra: With a View Toward Algebraic Geometry

David Eisenbud · Cited in 2 archived MIT courses

No free copy confirmed for the cited edition.

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#23 most-cited Introduction to Commutative Algebra

Michael Atiyah · Cited in 2 archived MIT courses

No free copy confirmed for the cited edition.

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#24 most-cited Algebraic Topology

Allen Hatcher · Cited in 2 archived MIT courses

Read at pi.math.cornell.edu ↗

The free copy is not confirmed to be the edition the course cites; page numbers and section numbering may differ. · Free to read at the source (no open license stated)

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#25 most-cited Algebraic Geometry

Robin Hartshorne · Cited in 2 archived MIT courses

No free copy confirmed for the cited edition.

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  • 18.726 Algebraic Geometry · Spring 2009 · Graduate Unclear

    “Hartshorne, Robin. Algebraic Geometry . New York, NY: Springer, 1997. ISBN: 9780387902449.”

    Listed; requirement unspecified · Syllabus · This course’s MIT OCW page ↗

  • 18.725 Algebraic Geometry · Fall 2015 · Graduate Unclear

    “Hartshorne, Robin. Algebraic Geometry . Springer, 1997. ISBN: 9780387902449 [Preview with Google Books ] and / or cover some intersection theory following Shafarevich, Igor R. Chapter 4 in Basic Algebraic Geometry 1: Varieties in Projective Space . Springer, 2013. ISBN: 9783642379550.”

    Listed; requirement unspecified · Syllabus · This course’s MIT OCW page ↗

#26 most-cited Chaos and Fractals: New Frontiers of Science

H-O. Peitgen · Cited in 2 archived MIT courses

No free copy confirmed for the cited edition.

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#27 most-cited Nonlinear systems

P. G Drazin · Cited in 2 archived MIT courses

No free copy confirmed for the cited edition.

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#28 most-cited Order Within Chaos

P. Berge · Cited in 2 archived MIT courses

No free copy confirmed for the cited edition.

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#29 most-cited Practical Numerical Algorithms for Chaotic Systems

T. S. Parker · Cited in 2 archived MIT courses

No free copy confirmed for the cited edition.

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#30 most-cited Probability: Theory and Examples

Rick Durrett · Cited in 2 archived MIT courses

Read at sites.math.duke.edu ↗

The free copy is not confirmed to be the edition the course cites; page numbers and section numbering may differ. · Free to read at the source (no open license stated)

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