The Elements of Algebra and Trigonometry by William Griffin
The Elements of Algebra and Trigonometry - Table of Contents
- 1. Meaning of Algebraical Symbols
- 2. Operations with Algebraical Symbols
- 3. Simple Equations in One Variable
- 4. Problems Producing Simple Equations
- 5. Simultaneous Equations & Solvers
- 6. Problems Producing Simultaneous Equations
- 7. Quadratic Equations and Word Problems
- 8. Ratio, Proportion, and Variation
- 9. Logarithms and Computational Rules
- 10. Trigonometric Ratios & Definitions
- 11. Tables of Goniometrical Functions
- 12. Solution of Right-Angled Triangles
- 13. Solution of Oblique-Angled Triangles
- 14. Heights, Distances, and Surveying
- 15. The Circle and Circular Functions
What You Will Learn in The Elements of Algebra and Trigonometry
Elements of Algebra and Trigonometry by William N. Griffin is an authoritative, classic 19th-century educational manual published as part of the Text-Books of Science series (Longmans, Green, and Co.) that provides students with a foundational, systematically ordered grounding in school algebra and practical plane trigonometry. This comprehensive volume guides readers through the meaning and laws of algebraic symbols, fundamental arithmetic operations on polynomials, linear equations in one unknown, word problems leading to simple equations, simultaneous linear systems, quadratic equations and their applications, ratio and proportion theory, logarithmic properties and table calculations, goniometrical definitions, trigonometric ratio tables, right-angled triangle solving, oblique triangle laws (sine, cosine, and tangent rules), practical height and distance surveying problems, and circular geometric properties with exceptional pedagogical clarity and logical precision.
Designed for secondary school students, mathematics educators, engineering apprentices, and history of science researchers, this classic work bridges elementary symbolic manipulation directly with geometric surveying applications. Griffin details step-by-step algebraic derivations, elimination methods for system solvers, logarithmic computation procedures, and practical trigonometric reductions for field calculations. Whether you are reviewing historical methods of secondary school mathematics instruction, mastering foundational algebraic problem-solving, or studying classical plane trigonometry, this book offers an indispensable roadmap.
Recognized globally as a model of clear Victorian textbook design, it stands as one of the best historical introductory references for unified algebra and plane trigonometry. By connecting algebraic equation solving directly to trigonometric ratios and geometric height calculations, it serves as an essential tool for learning foundational mathematics with confidence.
Book Details & Specifications
Title:
The Elements of Algebra and Trigonometry by William Griffin
Publisher:
Green & co.
Year:
1885
Pages:
335
Type:
PDF
Language:
English
ISBN-10 #:
0559437285
ISBN-13 #:
978-0559437281
License:
Public Domain Work
Amazon:
Amazon
About the Author: William Nathaniel Griffin
The author William Nathaniel Griffin
was an eminent British mathematician, Senior Wrangler, and Fellow of St. John's College, Cambridge, widely celebrated for his clear educational texts in classical mechanics, algebra, and geometry.
Through Elements of Algebra and Trigonometry, Griffin delivers a masterfully structured, accessible introduction to basic mathematical operations and trigonometric methods. His clear problem sets, step-by-step equation derivations, and practical surveying applications make this volume a classic reference for elementary algebra and plane trigonometry valued by educators and students worldwide.
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