Free Mathematics Textbooks

There were two subjects where having a small collection of thrift store used textbooks aided in my success – high school biology and college calculus. I don’t know how I would have gotten through 4th semester calculus without those extra books.

Today’s math students are lucky in that many courses are now being taught from freely available online materials. Even if you are not using an online mathematics textbook, the many included here on The Free Textbook list should provide extra help, should you need it.

Math Refresher

Returning students have the added challenge of trying to remember material they may not have seen in years. In year’s past, that usually created the need to retake a course or pay for private tutoring. Now, the returning student or anyone needing a little extra practice can look to the web to find numerous materials to learn from. They can study at their own pace or pick and choose the topics they need to review.

Open Textbook Revolution

Mathematics was one of those subjects where students are quite frequently forced to purchase new textbooks when the material being presented was pretty much the same as the previous version(s). One of my assigned texts actually was a very close match for a text published decades earlier by the same publisher. Some of the authors featured here on The Free Textbook List are finally living the dream of writing their own textbook others are embracing the Open Textbook Revolution that is offering more and more free learning materials to math students.

About Mathematical Symbols

Mathematics, by it’s very nature uses many symbols. I’ve debated on using them or not within the tables of contents. Do I use “pi” or the symbol we all know as pi? And, how would that affect the search feature. For now, I’ve opted to primarily stick to straight text to make searching this site a bit easier. So, for example, x2 becomes x2 and you should search for pi rather than it’s symbol.

Subcategories

  • Abstract Math, Abstract Algebra & Proofs (4)
  • Calculus (14)
  • Differential and Difference Equations (1)
  • Discrete Mathematics (4)
  • Dynamical Systems And Ergodic Theory (1)
  • Geometry (5)
  • Linear Algebra (8)
  • Mathematical Constants (1)
  • Precalculus (7)
  • Quaternions (3)
  • Statistics (10)

  • List of Free Mathematics Textbooks

    A First Book in Algebra

    Written by: Wallace C. Boyden

    A First Algebra Book has a bit of age on it but this introductory online algebra book is designed for young students being introduced to doing math with letters.

    A Primer of Real Analysis

    Written by: Dan Sloughter (Furman University)

    Written by Dan Sloughter, this real analysis online textbook has no formal prerequisites does suggest students have a strong foundation in calculus and other high mathematics.

    Algorithmic Mathematics

    Written by: Leonard Soicher and Franco Vivaldi (Queen Mary, University of London)

    A mathematics textbook with a constructive approach to abstract mathematics with a focus on algebra. It also includes the elements of ring and field theory.

    Arithmetic for College Readiness

    Written by: Scottsdale Community College Mathematics Department

    Before students can begin their studies of calculus, the physical sciences, accounting or any other subject which requires advanced mathematics; they first must know basic arithmetic. This workbook was prepared by the department of Mathematics at Scottsdale Community College to help students prepare for university-level mathematics courses. The development team for the first edition, published […]

    Elementary Number Theory

    Written by: William Stein (University of Washington)

    Textbook on prime numbers, congruences, public-key cryptography, quadratic reciprocity, continued fractions, elliptic curves and number theory algorithms.

    Lie Algebras

    Written by: Shlomo Sternberg of Harvard University

    A math professor from Harvard University, Shlomo Sternberg is offering his textbook on Lie Algebras in PDF form.

    Math In Society

    Written by: David Lippman (Pierce College at Ft Steilacoom)

    Math in Society is a free online textbook that is designed for non-science and math majors. It covers a variety of topics, mostly in a non-algebraic way.

    Mathematical Reasoning: Writing and Proof

    Written by: Ted Sundstrom (Grand Valley University)

    Mathematical Reasoning, a free online textbook on writing proofs with a study guide, answer key and even videos to aid learning.

    The MacTutor History of Mathematics Archive

    Written by: The School of Mathematics and Statistics at the University of St Andrews

    The School of Mathematics and Statistics at the University of St Andrews, has created a virtual history of mathematics with bios of famous mathematicians.

     
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