Pure Textbooks

Advanced Algebra v. 1.0

Contributor: Redden

License: CC BY-NC-SA

Intermediate Algebra is the second part of a two-part course in Algebra. Written in a clear and concise manner, it carefully builds on the basics learned in Elementary Algebra and introduces the more advanced topics required for further study of applications found in most disciplines. Used as a standalone textbook, it offers plenty of review as well as something new to engage the student in each chapter. Written as a blend of the traditional and graphical approaches to the subject, this textbook introduces functions early and stresses the geometry behind the algebra. While CAS independent, a standard scientific calculator will be required and further research using technology is encouraged.

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Basic Algebra with Applications - 5th Edition

Contributor: Zaigralin

Publisher: Ivan G. Zaigralin

License: CC BY-SA

Basic Algebra with Applications

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Tea Time Linear Algebra Explorations in Mathematics - 2nd Edition

Contributor: Brin

Publisher: Leon Q. Brin

License: CC BY-SA

This creation is an all-purpose open source textbook for linear algebra classes of all ilks. Inside you will find a complete and engaging introduction to linear algebra, making it a perfect primary resource for classroom study.

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Intermediate Algebra

Contributor: Yoshiwara

Publisher: Bruce Yoshiwara

License: Free Documentation License (GNU)

Intermediate Algebra is a textbook for students who have some acquaintance with the basic notions of variables and equations, negative numbers, and graphs, although we provide a "Toolkit" to help the reader refresh any skills that may have gotten a little rusty. In this book we journey farther into the subject, to explore a greater variety of topics including graphs and modeling, curve-fitting, variation, exponentials and logarithms, and the conic sections. We use technology to handle data and give some instructions for using a graphing calculator, but these can easily be adapted to any other graphing utility.

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Elementary Algebra

Contributor: Yoshiwara

Publisher: Bruce Yoshiwara

License: Free Documentation License (GNU)

This text introduces the basic skills and ideas of algebra.

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Trigonometry

Contributor: Yoshiwara

Publisher: Bruce Yoshiwara

License: Free Documentation License (GNU)

This text covers the content of a standard trigonometry course, beginning with a review of facts from geometry.

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Euclid's Elements Redux

Contributor: Callahan

Publisher: Sample

License: CC BY-SA

"Euclid's 'Elements' Redux" is an open textbook on mathematical logic and geometry based on Euclid's "Elements" for use in grades 7-12 and in undergraduate college courses on proof writing.

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Optimal, Integral, Likely Optimization, Integral Calculus, and Probability for Students of Commerce and the Social Sciences

Contributors: Belevan, Hamidi, Malhotra, and Yeager

Publisher: Bruno Belevan, Parham Hamidi, Nisha Malhotra, and Elyse Yeager

License: CC BY-NC-SA

Optimal, Integral, Likely is a free, open-source textbook intended for UBC’s course MATH 105: Integral Calculus with Applications to Commerce and Social Sciences. It is shared under the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

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Measure, Integration & Real Analysis

Contributor: Axler

Publisher: Sheldon Axler

License: CC BY-NC

This book seeks to provide students with a deep understanding of the definitions, examples, theorems, and proofs related to measure, integration, and real analysis. The content and level of this book fit well with the first-year graduate course on these topics at most American universities. This textbook features a reader-friendly style and format that will appeal to today's students.

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Elementary Calculus

Contributor: Corral

Publisher: Michael Corral

License: Free Documentation License (GNU)

This textbook covers calculus of a single variable, suitable for a year-long (or two-semester) course. Chapters 1-5 cover Calculus I, while Chapters 6-9 cover Calculus II. The book is designed for students who have completed courses in high-school algebra, geometry, and trigonometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but the old idea of an infinitesimal is resurrected, owing to its usefulness (especially in the sciences).

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