A Text-Book on Advanced Algebra and Trigonometry by William Brenke
Advanced Algebra and Trigonometry - Table of Contents
2. Involution; Evolution; Theory of Exponents; Surds and Imaginaries
3. Logarithms; Binomial Theorem for Positive Integral Exponents
4. Linear Equations
5. Quadratic Equations
6. Ratio, Proportion, Variation
7. The Trigonometric Functions
8. Functions of Several Angles
9. Inverse Functions; Trigonometric Equations
10. Oblique Plane Triangles
11. Progressions, Interest, and Annuities
12. Infinite Series
13. Functions, Derivatives, Maclaurin’s Series
14. Computation, Approximations, Differences, and Interpolation
15. Undetermined Coefficients; Partial Fractions
16. Determinants
17. Polar Coordinates; Complex Numbers; De Moivre’s Theorem; Exponential Values of sin X and cos X; Hyperbolic Functions
18. Permutations, Combinations, and Chance
19. Theory of Equations
20. Spherical Trigonometry
What You Will Learn in Advanced Algebra and Trigonometry
"A Text-Book on Advanced Algebra and Trigonometry, With Tables" by "William Charles Brenke" is a classic mathematics text designed for learners who already have a basic understanding of "algebra" and "trigonometry". It provides a structured and integrated approach to advanced topics, combining clear explanations, practical examples, and exercises to strengthen problem-solving skills. Brenke’s work is ideal for students, self-learners, and early university learners seeking a deeper understanding of mathematical principles.
The "algebra" section delves into higher-level topics such as equations, series, logarithms, permutations, and combinations. Brenke explains complex concepts step by step, providing worked examples to ensure learners can apply the methods correctly. This systematic approach helps readers build confidence in manipulating algebraic expressions and solving advanced mathematical problems, bridging the gap between foundational math and more advanced studies.
In the "trigonometry" section, the book covers trigonometric functions, identities, and applications in geometry and problem solving. Tables for logarithms and trigonometric values are included to aid calculations, reflecting pre-calculator methods while reinforcing practical skills. Brenke emphasizes the interconnection between "algebra" and "trigonometry", giving readers a comprehensive understanding of these core areas. Overall, this book is a valuable resource for mastering "mathematics", preparing for further study in calculus, engineering, or applied sciences.
Book Details & Specifications
Title:
A Text-Book on Advanced Algebra and Trigonometry by William Brenke
Publisher:
The Century Co.
Year:
1910
Pages:
368
Type:
PDF
Language:
English
ISBN-10 #:
1436754682
ISBN-13 #:
978-1436754682
License:
Public Domain Work
Amazon:
Amazon
About the Author: William Charles Brenke
The author William Charles Brenke
William Charles Brenke (1874–1964) was an American **mathematician** and educator known for his work in **advanced algebra** and **trigonometry**. He earned his PhD at Harvard and spent most of his career at the **University of Nebraska–Lincoln**, contributing to both teaching and research. Brenke introduced **Brenke polynomials** and published papers on differential equations and series expansions. He was passionate about **mathematics education**, writing textbooks that combined theory, examples, and exercises to help students master complex topics. His work remains influential for building strong foundations in algebra and trigonometry, bridging theory and practical problem-solving. **Keywords:** *mathematician*, *advanced algebra*, *trigonometry*, *mathematics education*, *Brenke polynomials*.
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Algebra & Trigonometry