Free Online Calculus Text Books

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In this list I have collected all useful and important free online calculus textbooks mostly in downloadable pdf format. Feel free to download and use these.

  1. Elementary Calculus : An approach using infinitesimals by H. J. Keisler https://www.math.wisc.edu/~keisler/keislercalc-12-23-18.pdf
  2. Multivariable Calculus by Jim Herod and George Cain http://people.math.gatech.edu/~cain/notes/calculus.html
  3. Calculus by Gilbert Strang http://ocw.mit.edu/ans7870/textbooks/Strang/strangtext.htm
  4. Calculus Bible by Neveln http://www.cs.widener.edu/~neveln/Calcbible.pdf
  5. Lecture Notes for Applied Calculus by Karl Heinz Dovermann http://www.math.hawaii.edu/~heiner/calculus.pdf
  6. A Summary of Calculus by Karl Heinz Dovermann http://www.math.hawaii.edu/~heiner/short.pdf
  7. First Year Calculus Notes by Paul Garrett http://www.math.umn.edu/~garrett/calculus/
  8. The Calculus of Functions of Several Variables by Professor Dan Sloughter https://tutorial.math.lamar.edu/classes/calciii/multivrblefcns.aspx
  9. Difference Equations to Differential Equations : An Introduction to Calculus by Professor Dan Sloughter http://math.furman.edu/~dcs/courses/book/
  10. Visual Calculus by Lawrence S. Husch http://archives.math.utk.edu/visual.calculus/
  11. A Problem Text in Advanced Calculus by John Erdman http://web.pdx.edu/~erdman/PTAC/problemtext_pdf.pdf
  12. Understanding Calculus by Faraz Hussain http://www.understandingcalculus.com/index.php
  13. Advanced Calculus by Lynn Loomio and Schlomo Sternberg http://www.math.harvard.edu/~shlomo/docs/Advanced_Calculus.pdf
  14. The Calculus Wikibook on Wikibooks http://upload.wikimedia.org/wikipedia/commons/a/a3/Calculus.pdf
  15. Vector Calculus http://www.mecmath.net/calc3book.pdf
  16. The Calculus for Engineers by John Perry http://books.google.com/books?id=FQE3AAAAMAAJ
  17. Calculus Unlimited by J E Marsden & A Weinstein http://resolver.caltech.edu/CaltechBOOK:1981.001
  18. Advanced Calculus by E B Wilson https://archive.org/details/ost-math-advanced_calculus
  19. Differential and Integral Calculus by Daniel A Murray http://ebooks.library.cornell.edu/cgi/t/text/pageviewer-idx?c=math;cc=math;idno=00870001;view=image;seq=6;page=root;size=100
  20. Elements of the Differential and Integral Calculus by W A Granville & P F Smith http://djm.cc/library/Elements_Differential_Integral_Calculus_Granville_edited_2.pdf
  21. Calculus by Raja Almukkahal, Victor Cifarelli, Chun Tuk Fan & L Jarvis http://www.ck12.org/flexbook/flexbook/2878
  22. A course on Pure Mathematics by G. H. Hardy http://archive.org/details/coursepuremath00hardrich
  23. Calculus Volume I, II and III; and Student Guides by Marsden and Weinstein
    http://authors.library.caltech.edu/25030/
    http://authors.library.caltech.edu/25031/1/Calc1studentw.pdf
    http://authors.library.caltech.edu/25036/2/Calc2w.pdf
    http://authors.library.caltech.edu/25037/12/Calc2studentw.pdf
    http://authors.library.caltech.edu/25043/1/Calc3w.pdf
    http://authors.library.caltech.edu/25044/1/Calc3studentw.pdf
  24. Calculus Early Transcendentals by David Guichard http://www.whitman.edu/mathematics/calculus/
  25. Calculus in Context by Callahan, et.al. http://www.e-booksdirectory.com/details.php?ebook=8262
  26. Introduction to Calculus Volume 1 and 2 by J.H. Heinbockel http://www.math.odu.edu/~jhh/Volume-1.PDF http://www.math.odu.edu/~jhh/Volume-2.PDF
  27. Concepts in Calculus (1, 2 and 3) by Miklos Bona, Sergei Shabanov http://www.math.ufl.edu/~kees/Calc1final.pdf http://www.math.ufl.edu/~kees/Calc2final.pdf http://www.math.ufl.edu/~kees/Calc3final.pdf

Bonus Free Calculus Text Books

wdt_ID Title Author Download Links Published Pages Description
1 Calculus Early Transcendentals David Guichard 320 An excellent book - one of the best for coverage of the basics of calculus. Does not include differential equations, partial derivitatives, or vector calculus. The table of contents and index use hyperlinks, so it's easy to navigate around.
2 Calculus in Context Callahan, et.al. 869 Like "Calculus, Early Transendentals", this would be a fine book for self-study. It is more than twice as large as that book, so that it covers more toptics. The authors seem to love the subject, and their enthusiasm shows.
3 Introduction to Calculus Volume 1 J.H. Heinbockel 566 Clear explainations, colorful graphics, beautiful typography. Most of Volume 2 is devoted to vector calculus.
4 Introduction to Calculus Volume 2 570
5 Calculus Gilbert Strang 671 First-rate presentation - clear, concise, with interesting applications to physics and economics. Unfortunately, it was poorly scanned from a paper copy, and would be very tiresome to read.
6 Calculus Benjamin Crowell 205
7 Calculus Made Easy Silvanus P. Thompson 292 An ancient book, but there may be no better introduction to calculus. It is a short book however, and reading the whole thing will leave one bereft of some important knowledge. A print version is available, with some changes and additions by Martin Gardner.
8 First Year Calculus WWL Chen 280 Each of the 22 chapters is a downloadable pdf file
9 Comtemporary Calculus Dale Hoffman 1,248 This otherwise excellent book is not in the "A" group only because the mathematics is typeset strangely, probably because it was composed in MS Word instead of LaTeX.
10 Active Calculus Matt Boelkins. et. al. 1,509 Project oriented; probably not suited for self-study

4 comments add your comment

  1. What a great resource! Thanks for posting this. I’m happy to find a couple of good free vector and multivariable calculus books; that will be useful for both me and my students!

    Thanks for putting this together, and for sharing it.

  2. Thanks for sharing this list. I have a title to add: “A Course of Pure Mathematics” by G.H. Hardy. Available free from archive.org.

    http://archive.org/details/coursepuremath00hardrich

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