Geometry and Trigonometry Textbooks

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Understanding How Geometry Works - First Edition

Contributor: Johnston

Publisher: MERLOT

License: CC BY-NC-SA

Understanding How Geometry Works, a conceptual overview for educators is designed for students who are prospective elementary and middle school level teachers.

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(0 reviews)

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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(0 reviews)

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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Geometry with an Introduction to Cosmic Topology

Contributor: Hitchman

Publisher: Michael P. Hitchman

License: CC BY-SA

Motivated by questions in cosmology, the open-content text Geometry with an Introduction to Cosmic Topology uses Mobius transformations to develop hyperbolic, elliptic, and Euclidean geometry - three possibilities for the global geometry of the universe.

(1 review)

Trigonometry

Contributor: Beveridge

Publisher: Richard W. Beveridge

License: CC BY-NC-SA

The precursors to what we study today as Trigonometry had their origin in ancient Mesopotamia, Greece and India. These cultures used the concepts of angles and lengths as an aid to understanding the movements of the heavenly bodies in the night sky. Ancient trigonometry typically used angles and triangles that were embedded in circles so that many of the calculations used were based on the lengths of chords within a circle. The relationships between the lengths of the chords and other lines drawn within a circle and the measure of the corresponding central angle represent the foundation of trigonometry - the relationship between angles and distances.

(2 reviews)

College Algebra & Trigonometry

Contributor: Beveridge

Publisher: Richard W. Beveridge

License: CC BY-NC-SA

This College Algebra text will cover a combination of classical algebra and analytic geometry, with an introduction to the transcendental exponential and logarithmic functions. If mathematics is the language of science, then algebra is the grammar of that language. Like grammar, algebra provides a structure to mathematical notation, in addition to its uses in problem solving and its ability to change the appearance of an expression without changing the value.

(5 reviews)

Elementary College Geometry - 2021 ed.

Contributor: Africk

Publisher: CUNY Academic Works

License: CC BY-NC-SA

This text is intended for a brief introductory course in plane geometry. It covers the topics from elementary geometry that are most likely to be required for more advanced mathematics courses. The only prerequisite is a semester of algebra.

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(0 reviews)

Trigonometry

Contributors: Sundstrom and Schlicker

Publisher: Grand Valley State University

License: CC BY-NC-SA

This trigonometry textbook is different than other trigonometry books in that it is free to download, and the reader is expected to do more than read the book and is expected to study the material in the book by working out examples rather than just reading about them. So this book is not just about mathematical content but is also about the process of learning and doing mathematics. That is, this book is designed not to be just casually read but rather to be engaged.

(2 reviews)

Euclidean plane and its relatives

Contributor: Petrunin

Publisher: Anton Petrunin

License: CC BY-SA

This book is meant to be rigorous, conservative, elementary and minimalist. At the same time it includes about the maximum what students can absorb in one semester. Approximately one-third of the material used to be covered in high school, but not any more.The present book is based on the courses given by the author at the Pennsylvania State University as an introduction to the foundations of geometry. The lectures were oriented to sophomore and senior university students. These students already had a calculus course. In particular,they are familiar with the real numbers and continuity. It makes it possible to cover the material faster and in a more rigorous way than it could be done in high school.

(2 reviews)

Algebra and Trigonometry 2e

Contributor: Abramson

Publisher: OpenStax

License: CC BY

Algebra and Trigonometry 2e provides a comprehensive exploration of mathematical principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensure that the book addresses the needs of a variety of courses. Algebra and Trigonometry 2e offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.

(18 reviews)