Trigonometry and Double Algebra by Augustus De Morgan
Trigonometry and Double Algebra - Table of Contents
- 1. Single Angle Definitions & Fundamental Formulas
- 2. Formulas for Two or More Angles
- 3. Solution of Triangles & Goniometry
- 4. Symbol Extensions & Roots of Negative Numbers
- 5. Periodic Quantities & Function Inversion
- 6. Calculus Notions in Trigonometric Analysis
- 7. Inverse Trigonometric Functions
- 8. Analytical Trigonometry
- 9. Miscellaneous Additions & Double Algebra Topics
What You Will Learn in Trigonometry and Double Algebra
Trigonometry and Double Algebra by Augustus De Morgan is a classic advanced mathematical guide that makes learning complex variable theory and analytical trigonometry simple and approachable. This famous textbook breaks down complex topics like single-angle trigonometric identities, multi-angle compound formulas, triangle solution algorithms, extension of symbolic operations, square roots of negative quantities, periodic function inversions, and calculus-based series expansions into easy-to-understand explanations. Ideal for students and self-learners, it removes the academic confusion often associated with higher mathematics.
Perfect for undergraduate mathematics majors and history of science students, this foundational text helps readers build an intuitive understanding of mathematical concepts. De Morgan 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 complex algebra books for students worldwide. It intentionally emphasizes intuition and clarity over abstract math theory, making it an invaluable and timeless resource for mastering double algebra and analytical trigonometry with confidence.
Book Details & Specifications
Title:
Trigonometry and Double Algebra by Augustus De Morgan
Publisher:
Taylor
Year:
1849
Pages:
194
Type:
PDF
Language:
English
ISBN-10 #:
141818053X
ISBN-13 #:
978-1418180539
License:
Public Domain Work
Amazon:
Amazon
About the Author: Augustus De Morgan
The author Augustus De Morgan
(1806–1871) was a preeminent British mathematician, logician, and the first Professor of Mathematics at University College London, internationally celebrated for formulating De Morgan's laws in logic and set theory, as well as his foundational contributions to symbolic algebra, formal logic, and mathematical analysis.
Through Trigonometry and Double Algebra, De Morgan delivers a masterfully structured, clear presentation of complex plane algebra and circular functions. His rigorous symbolic pathways, logical derivations, and pioneering geometric interpretations of complex numbers make this volume a classic reference for analytical trigonometry and double algebra valued by mathematicians worldwide.
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