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Plane Trigonometry by Arnold Dresden




Plane Trigonometry - Table of Contents

1. Positive and Negative Lines and Angles, Coordinates Radian Measurement
2. The Trigonometric Ratios, Simple Identities
3. Logarithms
4. Solution of Right Triangles SOLUTION of Right Triangles, Applications
5. The Graphs of the Trigonometric Functions
6. The Addition Formulae
7. The Solution of Triangles
8. Inverse Trigonometric Functions, Trigonometric Equations

What You Will Learn in Plane Trigonometry

"Plane Trigonometry" by Arnold Dresden is a classic textbook first published in 1921, designed for college-level students seeking a structured approach to "trigonometry". The book emphasizes clarity and logical progression, starting with foundational concepts such as trigonometric ratios, the Pythagorean theorem, and the measurement of angles in radians. Dresden’s methodical explanations make complex ideas accessible, providing learners with a strong base to tackle more advanced topics. As the text progresses, it covers addition and subtraction formulas, double and half-angle formulas, and the application of logarithms to solve trigonometric equations. The book is rich with examples and exercises that reinforce theoretical knowledge, fostering "problem-solving" skills and encouraging practical application. Each chapter is carefully structured to build on the previous one, ensuring a smooth learning curve for students. Beyond its instructional value, "Plane Trigonometry" offers insight into the historical development of mathematical education and teaching methods. Dresden’s clear exposition and systematic approach make the book not only a learning resource but also a reference for educators. Its focus on both theory and "practical applications" ensures that learners can apply trigonometry effectively in mathematics, physics, and engineering contexts.

Book Details & Specifications

Title: Plane Trigonometry by Arnold Dresden
Publisher: John Wiley And Sons
Year: 1921
Pages: 130
Type: PDF
Language: English
ISBN-10 #: B002KW4SQ8
ISBN-13 #: N\A
License: Public Domain Work
Amazon: Amazon

About the Author: Arnold Dresden

The author Arnold Dresden (1882–1954) was a Dutch-American "mathematician" known for his work in the calculus of variations and mathematics education. He taught at Swarthmore College and authored influential textbooks, including "Plane Trigonometry", focusing on clarity and structured learning. Dresden emphasized "problem-solving" and logical understanding, making complex mathematical concepts accessible to students. He also advocated for the inclusion of women in mathematics and contributed significantly to American mathematical education. His textbooks blend theory with "practical applications", continuing to guide students and educators in understanding and applying trigonometric and geometric principles effectively.

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Calculus
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