Trigonometry: History, Theorems, and Applications by Don Crossfield
Trigonometry - Table of Contents
- 1. The Beginnings of Ancient Trigonometry
- 2. Shadow Reckoning & Early Goniometry
- 3. Development of Ptolemy's Chord Table
- 4. Laws of Sines, Cosines & Area Theorems
- 5. Charting the Heavens & Celestial Geometry
- 6. Practical Triangle Applications & Surveying
- 7. Trigonometric Identities and Proofs
- 8. Spherical Trigonometry and Navigation
- 9. Biographies of Great Mathematicians
What You Will Learn in Trigonometry
Trigonometry by Don Crossfield is a classic advanced mathematical guide that makes learning plane trigonometry, spherical geometry, and historical mathematical developments simple and approachable. This famous textbook breaks down complex topics like ancient shadow reckoning, construction of Ptolemy's chord tables, the Laws of Sines and Cosines, Heron's and Brahmagupta's geometric area theorems, celestial navigation, practical triangle applications, fundamental trigonometric identities, and spherical trigonometry algorithms into easy-to-understand explanations. Ideal for students and self-learners, it removes the academic confusion often associated with higher mathematics.
Perfect for high school and college trigonometry students, this foundational text helps readers build an intuitive understanding of mathematical concepts. Crossfield uses clear, structured language and practical examples to make the subject less intimidating and more accessible. Whether you are completely new to the field or just need a quick refresher, the book provides step-by-step guidance through every chapter.
Known for its straightforward style and focus on core principles, it remains one of the best classical trigonometry and history of mathematics books for students worldwide. It intentionally emphasizes intuition and clarity over abstract math theory, making it an invaluable and timeless resource for mastering plane and spherical trigonometry with confidence.
Book Details & Specifications
Title:
Trigonometry: History, Theorems, and Applications by Don Crossfield
Publisher:
Historical Modules Project
Year:
2002
Pages:
192
Type:
PDF
Language:
English
ISBN-10 #:
1477497781
ISBN-13 #:
978-1477497784
License:
External Educational Resource
Amazon:
Amazon
About the Author: Don Crossfield
The author Don Crossfield
are "mathematics educators" who collaborated to create an accessible and student-focused textbook on "trigonometry". Their work reflects a strong commitment to clear instruction, emphasizing conceptual understanding over rote memorization. The authors designed the material to support learners transitioning from "algebra and geometry" into more advanced mathematical thinking. Through their collaborative approach, the authors focus on "mathematics education", practical examples, and structured problem-solving. Their textbook is widely used as a learning resource for high-school and early college students, helping build confidence in "trigonometric functions" and foundational "pre-calculus" concepts in a clear and approachable way.
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